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Paper Citation Record · LEDGER

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms

As of 8 August 2026, this Paper Citation Record lists 100 of 115 outbound references and 4 inbound Pith citation observations for arXiv:2505.16970.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.16970 v1

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measured 100 of 115 reference resolution

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measured 104 of 104 standing notices

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measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-05-15T10:10:26.228660Z

Reference resolution

100 of 115 outbound references displayed

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Outbound references

Observation 8a371553-fc6f-44a2-8c18-045274bc7352 · outbound

This paper cites Princeton University Press, 2008.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Princeton University Press, 2008

Reference 1

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Observation 3a110fec-35f3-43a5-8c3a-f4606e4f9f5c · outbound

This paper cites From nesterov’s estimate sequence to riemannian acceleration.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms From nesterov’s estimate sequence to riemannian acceleration

Reference 2

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Observation cea5a782-49cc-4d78-a07e-5edda17027ce · outbound

This paper cites A continuous-time perspective for modeling acceleration in riemannian optimization.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms A continuous-time perspective for modeling acceleration in riemannian optimization

Reference 3

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Observation d162b487-0c1b-43d9-88aa-59d92163af0f · outbound

This paper cites Momentum improves optimization on riemannian manifolds.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Momentum improves optimization on riemannian manifolds

Reference 4

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Observation 3c348539-22b6-4f16-bc0b-1c8322bbe40a · outbound

This paper cites Allen-Zhu, A.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Allen-Zhu, A

Reference 5

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Observation 03138070-4862-406c-9616-84ac585acbcd · outbound

This paper cites Amendola, K.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Amendola, K

Reference 6

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Observation c711f81f-2faf-4b19-9c62-dc76407d4e95 · outbound

This paper cites On approximating the riemannian 1-center.Computa- tional Geometry, 46(1):93–104, 2013.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms On approximating the riemannian 1-center.Computa- tional Geometry, 46(1):93–104, 2013

Reference 7

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Observation 82df6978-8a91-477b-95da-4e377f2bce74 · outbound

This paper cites Auderset, C.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Auderset, C

Reference 8

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Observation a4d3927c-13f6-483d-925a-f65d5107e96e · outbound

This paper cites Inf-convolution and regularization of convex functions on riemannian manifolds of nonpositive curvature.Revista Matem´ atica Complutense, 19(2):323– 345, 2006.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Inf-convolution and regularization of convex functions on riemannian manifolds of nonpositive curvature.Revista Matem´ atica Complutense, 19(2):323– 345, 2006

Reference 9

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Observation 5b9431d5-6b69-4b7b-9213-50b2ccf50560 · outbound

This paper cites Nonsmooth analysis and hamilton– jacobi equations on riemannian manifolds.Journal of Functional Analysis, 220(2):304–361, 2005.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Nonsmooth analysis and hamilton– jacobi equations on riemannian manifolds.Journal of Functional Analysis, 220(2):304–361, 2005

Reference 10

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Observation a790f0bc-a910-4c02-9aeb-02f923188db4 · outbound

This paper cites An extension theorem for convex functions of class c1, 1 on hilbert spaces.Journal of Mathematical Analysis and Applications, 446(2):1167–1182, 2017.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms An extension theorem for convex functions of class c1, 1 on hilbert spaces.Journal of Mathematical Analysis and Applications, 446(2):1167–1182, 2017

Reference 11

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Observation e9455c91-15b7-4545-bf73-4bbbd0aabc4d · outbound

This paper cites Walter de Gruyter GmbH & Co KG, 2014.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Walter de Gruyter GmbH & Co KG, 2014

Reference 12

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Observation 70391902-cf85-40d7-ab88-6226bf7944f3 · outbound

This paper cites Birkh¨ auser Basel, 1995.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Birkh¨ auser Basel, 1995

Reference 13

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Observation 347f52ea-e949-4bf9-9ec4-5733a7754084 · outbound

This paper cites Birkh¨ auser Boston, 1985.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Birkh¨ auser Boston, 1985

Reference 14

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Observation 7e2c2352-fa42-4977-8094-80fcd7743be6 · outbound

This paper cites Potential-function proofs for gradient methods.Theory of Computing, 15(1):1–32, 2019.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Potential-function proofs for gradient methods.Theory of Computing, 15(1):1–32, 2019

Reference 15

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Observation 915f632e-bf1a-4686-9bc4-633d8f19ac34 · outbound

This paper cites Fenchel conjugate via busemann function on hadamard manifolds.Applied Mathematics & Optimization, 88(3):83, 2023.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Fenchel conjugate via busemann function on hadamard manifolds.Applied Mathematics & Optimization, 88(3):83, 2023

Reference 16

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Observation 2ae3d5d3-ba42-41de-905d-6df16cffd709 · outbound

This paper cites Horo- spherical learning with smart prototypes.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Horo- spherical learning with smart prototypes

Reference 17

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Observation baf4936c-9ce5-45c0-9350-af5dd9807652 · outbound

This paper cites Geometry of the space of phylogenetic trees.Advances in Applied Mathematics, 27(4):733–767, 2001.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Geometry of the space of phylogenetic trees.Advances in Applied Mathematics, 27(4):733–767, 2001

Reference 18

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Observation 66453795-a5f1-43c0-a2f8-eea202a75518 · outbound

This paper cites Hyperbolic sliced- wasserstein via geodesic and horospherical projections.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Hyperbolic sliced- wasserstein via geodesic and horospherical projections

Reference 19

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Observation a54639f6-3e72-468f-be60-04a69c1bedca · outbound

This paper cites Convex sets in hadamard manifolds.Differential Geometry and its Applica- tions, 17(2-3):111–121, 2002.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Convex sets in hadamard manifolds.Differential Geometry and its Applica- tions, 17(2-3):111–121, 2002

Reference 20

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Observation 2eb4578e-c591-4466-abe8-03d5350d305a · outbound

This paper cites An introduction to optimization on smooth manifolds.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms An introduction to optimization on smooth manifolds

Reference 21

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Observation 1aed58e0-a923-4246-bc80-77612ad77304 · outbound

This paper cites Cambridge university press, 2004.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Cambridge university press, 2004

Reference 22

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Observation 463045f2-610b-443a-85ca-a8f001370be4 · outbound

This paper cites Springer Science & Business Media, 2013.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Springer Science & Business Media, 2013

Reference 23

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Observation 1b311aa1-f892-441a-a44f-2ca738f536de · outbound

This paper cites Convex optimization: Algorithms and complexity.Foundations and Trends®in Machine Learning, 8(3-4):231–357, 2015.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Convex optimization: Algorithms and complexity.Foundations and Trends®in Machine Learning, 8(3-4):231–357, 2015

Reference 24

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Observation 8fac33e9-35f9-4cb2-8248-f3a5ae9a12b5 · outbound

This paper cites A geometric alternative to Nesterov's accelerated gradient descent.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms A geometric alternative to Nesterov's accelerated gradient descent

Reference 25

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Observation 1a2f8263-4a31-4447-a438-f2657cc5f9e8 · outbound

This paper cites Deciding positivity of littlewood–richardson coeffi- cients.SIAM Journal on Discrete Mathematics, 27(4):1639–1681, 2013.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Deciding positivity of littlewood–richardson coeffi- cients.SIAM Journal on Discrete Mathematics, 27(4):1639–1681, 2013

Reference 26

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Observation 187b0d48-cca1-4006-910b-a945136f27eb · outbound

This paper cites B¨ urgisser, C.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms B¨ urgisser, C

Reference 27

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Observation d6ae32d6-d35b-4d4b-9033-395694d90c53 · outbound

This paper cites Efficient algorithms for tensor scaling, quantum marginals, and moment polytopes.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Efficient algorithms for tensor scaling, quantum marginals, and moment polytopes

Reference 28

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Observation 1ae6fd40-941a-4f8a-8f08-f0c6ad44b370 · outbound

This paper cites Interior-point methods for unconstrained geometric programming and scaling problems, 2020.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Interior-point methods for unconstrained geometric programming and scaling problems, 2020

Reference 29

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Observation 1e1d770c-c3db-417a-9afa-4a94f3665356 · outbound

This paper cites Horopca: Hyperbolic dimen- sionality reduction via horospherical projections.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Horopca: Hyperbolic dimen- sionality reduction via horospherical projections

Reference 30

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Observation e8f1c8d5-613a-40e3-a948-11bec89017d4 · outbound

This paper cites Geometrical and statistical properties of M-estimates of scatter on Grassmann manifolds.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Geometrical and statistical properties of M-estimates of scatter on Grassmann manifolds

Reference 31

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Observation c944de70-5b9a-48d0-bebf-a6cdc4d8a953 · outbound

This paper cites Negative curvature obstructs acceleration for strongly geodesically convex optimization, even with exact first-order oracles.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Negative curvature obstructs acceleration for strongly geodesically convex optimization, even with exact first-order oracles

Reference 32

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Observation 9fbdba9b-725d-4fe8-8dd7-dfa12f03f772 · outbound

This paper cites Curvature and complexity: Better lower bounds for geodesically convex optimization.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Curvature and complexity: Better lower bounds for geodesically convex optimization

Reference 33

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Observation ff73d7ae-a67a-42c9-a20d-1da8c0c0f366 · outbound

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Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Unresolved cited work

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Observation eacd0e65-b4bd-4b36-ac77-0bab5eb5cced · outbound

This paper cites Open Problem: Polynomial linearly-convergent method for geodesically convex optimization?.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Open Problem: Polynomial linearly-convergent method for geodesically convex optimization?

Reference 35

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:05.201525Z digest=sha256:177f28db1cdb335a4f7701036d3f14172f7300e6f692bd3f98d08e4141cafe64

Observation bfbcfaea-1a93-42aa-b7f0-3220faee5c86 · outbound

This paper cites Performance of first-order methods for smooth convex mini- mization: a novel approach.Mathematical Programming, 145(1):451–482, 2014.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Performance of first-order methods for smooth convex mini- mization: a novel approach.Mathematical Programming, 145(1):451–482, 2014

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T15:01:05.262770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:05.262770Z digest=sha256:6b056290d63b70115ac83ef29b11e9889c3e7093dc2c77db3e0f8c0ce718f546

Observation b992ca87-ca7e-4611-94b4-58f52e325147 · outbound

This paper cites An optimal first order method based on optimal quadratic averaging.SIAM Journal on Optimization, 28(1):251–271, 2018.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms An optimal first order method based on optimal quadratic averaging.SIAM Journal on Optimization, 28(1):251–271, 2018

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-07T15:01:05.345801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:05.345801Z digest=sha256:ccd3faa253738d8df662c14c4a1590026910df3b01b94447717fa39863823dda

Observation 9d262db8-2572-48df-9fb3-9571a46fb4de · outbound

This paper cites The minimum covering sphere problem.Management science, 19(1):96–104, 1972.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms The minimum covering sphere problem.Management science, 19(1):96–104, 1972

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-07T15:01:05.394682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:05.394682Z digest=sha256:7703a51d0f82fcef80c3de0ac0eebc25c11d587753f58105ea95ffac51853036

Observation 4fec4243-79bc-401e-a2f1-caaad6efa8bf · outbound

This paper cites Horospherical decision boundaries for large margin classification in hyperbolic space.Advances in Neural Information Processing Systems, 36, 2023.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Horospherical decision boundaries for large margin classification in hyperbolic space.Advances in Neural Information Processing Systems, 36, 2023

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:24.786395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:05.504137Z digest=sha256:d7288667551a8bb1d983c7a853ee0b84a6b809e521b0ba4dabb90f83bd624f2d

Observation 9b0958ce-efaa-4616-afbb-9bb167e06ed1 · outbound

This paper cites Hyperbolization of cusps with convex boundary.Manuscripta mathematica, 150:475–492, 2016.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Hyperbolization of cusps with convex boundary.Manuscripta mathematica, 150:475–492, 2016

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:24.635819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:05.623417Z digest=sha256:0fcd91be1d50d191a53eae22e9a5c48419aad966ab05f066de20e794dd2e3cb0

Observation 5531a063-1030-4465-aa9c-d8bb16682f4c · outbound

This paper cites Horoball hulls and extents in positive definite space.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Horoball hulls and extents in positive definite space

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:24.488095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:05.687533Z digest=sha256:8d4adb3a4498600754b91a63dcef13d2c6a1c8698fab8438d62b63c79055e3eb

Observation 1154681c-fd91-4385-aced-94d73f9846cb · outbound

This paper cites Franks and A.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Franks and A

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:24.354929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:05.760230Z digest=sha256:28c70592bf0cc5dbf963c41c2aac96e5ddbd1924019f65dc560443ec7e4f1988

Observation 83a8f84d-3679-4c90-aee3-7f1f09f18c46 · outbound

This paper cites Franks, R.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Franks, R

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-07T15:01:05.801204Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:05.801204Z digest=sha256:b50b348a3828518609311b306d3a3bd356d1f435642fe1016ba12af93c0ca255

Observation 46abbd86-3dbb-456b-99f6-2c7cae4dabea · outbound

This paper cites Franks and P.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Franks and P

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:24.253288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:05.979640Z digest=sha256:c73ab0870e8500675098ffa544604813840886f6c4c916b7c8645e8bb863ef02

Observation c4c04bb4-f5ec-4b56-86ab-327a43150f60 · outbound

This paper cites Operator scaling with specified marginals.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Operator scaling with specified marginals

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:24.101661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:06.074346Z digest=sha256:5b8d93cef490e42a4ade12b766617963e0e3793fad977db563ef07d236bc8c76

Observation 5e531c5c-a462-4fb0-b7d1-3c239fc432ac · outbound

This paper cites Linear combinations of hypersurfaces in hyperbolic space.Prepubl.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Linear combinations of hypersurfaces in hyperbolic space.Prepubl

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:23.949772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:06.164838Z digest=sha256:497ebae91e94e707f9e8b20e5a4311b8ed4684f7e9763fddd2812ba0c93d8ac0

Observation e6217b4a-9560-4a22-886c-6b5f6d840260 · outbound

This paper cites Operator scaling: Theory and applications.Foundations of Computational Mathematics, 20(2):223–290, 2020.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Operator scaling: Theory and applications.Foundations of Computational Mathematics, 20(2):223–290, 2020

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:23.799342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:06.241728Z digest=sha256:89856ab5e671f2bbd95764a5e0f3aa17f7b8eadfd35bdb803a370ad98e760618

Observation 52616050-f39b-4611-8b74-876f327a6a51 · outbound

This paper cites Hyperbolic busemann learning with ideal prototypes.Advances in neural information processing systems, 34:103–115, 2021.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Hyperbolic busemann learning with ideal prototypes.Advances in neural information processing systems, 34:103–115, 2021

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:23.670584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:06.363804Z digest=sha256:57b534157bbb0e47e4d23318436ea5a6b04980ac769f684f708c760583dc32f6

Observation 6f0710b6-4801-4e84-925c-4499dfa35414 · outbound

This paper cites Lewis, Genaro Lopez-Acedo, and Adriana Nicolae.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Lewis, Genaro Lopez-Acedo, and Adriana Nicolae

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:23.399463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:06.526776Z digest=sha256:e7ca2cb5c4cffc67e2d373c6805af2bc7ad81ca3e7447b568ebcc2071c3b6fcd

Observation 99c8a195-9a54-4fee-a010-f2a77423c484 · outbound

This paper cites Lewis, Genaro Lopez-Acedo, and Adriana Nicolae.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Lewis, Genaro Lopez-Acedo, and Adriana Nicolae

Reference 50

Resolution
verified exact
raw_fallback, observed 2026-08-07T15:01:12.810054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:06.605881Z digest=sha256:d2c47cadce74e65c2729bde2be3a44dbaa1e7d8656cdf29defed0b071d34f3e7

Observation 9c920843-2561-4a28-ba37-ab65082ff70c · outbound

This paper cites How to conjugate c 1-close group actions.Mathema- tische Zeitschrift, 132(1):11–20, 1973.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms How to conjugate c 1-close group actions.Mathema- tische Zeitschrift, 132(1):11–20, 1973

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:23.094036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:06.656942Z digest=sha256:42411b77b378fbc006bab8f07799c7b6e5213e76771b33c4940a3b0774139c5e

Observation 6326f2ac-44f2-4460-95a5-e55e385cdd24 · outbound

This paper cites No-go Theorem for Acceleration in the Hyperbolic Plane.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms No-go Theorem for Acceleration in the Hyperbolic Plane

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:01:12.514390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:06.780010Z digest=sha256:6ab703e8bfcab1a37a3157beb3ecb54b4557fc3bfed6cd8f9065fce2f5e172ce

Observation 9160525e-ba87-4b83-a789-7e7dd4cdfbdf · outbound

This paper cites Riemannian accelerated gradient methods via extrapolation.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Riemannian accelerated gradient methods via extrapolation

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:22.888861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:06.901053Z digest=sha256:928332edef9dd3187cd35d71818438abdc9b5d67c7ad99640959f6c441cbd636

Observation 1032b5ec-47d6-438d-a8fa-33846b75f0e9 · outbound

This paper cites American Mathematical Society, Providence, RI, 1984.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms American Mathematical Society, Providence, RI, 1984

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:22.640712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:06.989193Z digest=sha256:2cad6e314505ec1f95f2a0c8770189948af413bdbdfc44091805d5d55b525f89

Observation c04c72ab-1a33-45da-abee-f4443b8047d4 · outbound

This paper cites Convex analysis on hadamard spaces and scaling problems.Foundations of Computational Mathematics, pages 1–38, 2023.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Convex analysis on hadamard spaces and scaling problems.Foundations of Computational Mathematics, pages 1–38, 2023

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:22.451902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:07.086837Z digest=sha256:91339999e7fe846d1dce76768aef2ce4c30dfafce4e8f924275b62a726b99726

Observation d9672da5-8265-4b09-b20d-3db82a843e67 · outbound

This paper cites Interior-point methods on manifolds: theory and applications.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Interior-point methods on manifolds: theory and applications

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:22.180430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:07.219030Z digest=sha256:a15b72d780b686d8c9eb4baf9e5e1825811cc357f7f0dbd8caa7151b9e2a048f

Observation 97a69e44-1a00-4ba9-8124-4dadbe7fd90d · outbound

This paper cites Springer science & business media, 1996.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Springer science & business media, 1996

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:21.911558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:07.301736Z digest=sha256:2dd0b91b9d7370b9d47f2a7f6bd1d2f449bd05d183b93aeae2f9c3d34c60d180

Observation b08afe5e-7e87-4328-b9c9-fa6b5d544582 · outbound

This paper cites Springer Science & Business Media, 2007.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Springer Science & Business Media, 2007

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:21.613863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:07.351741Z digest=sha256:53f375b237320fb111a533093c8516f9e4781ac2da24e38bdca96469c760df3a

Observation 52c1730b-3b76-40b0-a6b3-43469ad50a57 · outbound

This paper cites an unresolved cited work.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:01:21.380625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:07.415660Z digest=sha256:690c02912bfec48a47b7da2e193cb301bae6e186b6a2a2e5e862da857c73cbb0

Observation b1e2edbd-31f7-452f-b311-793bb3cb1721 · outbound

This paper cites Show that if a convexchas a supporting hyperplane at every point of its boundary, then it’s convex.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Show that if a convexchas a supporting hyperplane at every point of its boundary, then it’s convex

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:21.182986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:07.560188Z digest=sha256:6728c6f635218045e7224e28518313f34f1fea754ea5da1366aa813a0333fd3c

Observation 53abd6f3-872c-4682-b2ad-1c2c61bd28d7 · outbound

This paper cites Understanding riemannian acceleration via a proximal extragradient framework.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Understanding riemannian acceleration via a proximal extragradient framework

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:20.964055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:07.654496Z digest=sha256:49d348f2bc7cf16b15788e7e25254db3ff41f4d1c8307757a05f35255bce2962

Observation f11e12d4-88ca-4458-a68a-2fcc34b9a622 · outbound

This paper cites Convex functions on symmetric spaces, side lengths of polygons and the stability inequalities for weighted configurations at infinity.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Convex functions on symmetric spaces, side lengths of polygons and the stability inequalities for weighted configurations at infinity

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:20.758706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:07.702931Z digest=sha256:10813a78bafb42bbad9ea3f772b88a2d25eda0640603d873804513fc3e1b3856

Observation e975293a-28ae-4e29-967f-68621d7e374d · outbound

This paper cites an unresolved cited work.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:01:20.592725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:07.807931Z digest=sha256:5e50473643919c92177b4eca2a1985c502c5adbd9362888d1815adc9336807e7

Observation cd06b5ba-5ccf-4622-9711-cb43e86ba44a · outbound

This paper cites Optimized first-order methods for smooth convex minimization.Mathematical programming, 159:81–107, 2016.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Optimized first-order methods for smooth convex minimization.Mathematical programming, 159:81–107, 2016

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:20.452962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:07.937182Z digest=sha256:578e1d38c81f0d07bce1ee929f4c4f5d65a5123cd4d20be7f525fe5b15ec76bd

Observation b6e9e067-c99e-496b-abf4-d12365f125e4 · outbound

This paper cites Accelerated gradient methods for geodesically convex op- timization: Tractable algorithms and convergence analysis.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Accelerated gradient methods for geodesically convex op- timization: Tractable algorithms and convergence analysis

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:20.314993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:07.978295Z digest=sha256:a6832b01c29ff80672975df196c26296851f33bef2f02f60a925430798f97c2d

Observation 3ce36f06-5063-488a-84e2-4d97f32be46a · outbound

This paper cites Convexity properties of the moment mapping, iii.Inventiones mathematicae, 77(3):547–552, 1984.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Convexity properties of the moment mapping, iii.Inventiones mathematicae, 77(3):547–552, 1984

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:20.099650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:08.012651Z digest=sha256:3eced5041a9d7843e8ee01a24573d2b00e352c7e90abe90e265c726143d9195d

Observation ebf11ea3-9eb2-4544-b300-7adae1bb7fd3 · outbound

This paper cites (MN- 31), Volume 31, volume 104.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms (MN- 31), Volume 31, volume 104

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:19.937545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:08.073868Z digest=sha256:7e12f91998eca519cdb58f8d88410b97f9c4a692f4125262b7d5a3fce985485e

Observation 46b144d7-0d0c-4750-8779-4efd8e76f280 · outbound

This paper cites Klyachko.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Klyachko

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:19.761392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:08.139419Z digest=sha256:5de27b0a737820312143eca3eec69475bb33438e94a47a52e9b451a0408b7626

Observation 7a093d62-de2c-4c0e-a2ac-26529a39293e · outbound

This paper cites The symplectic and algebraic geometry of horn’s problem.Linear Algebra and its Applications, 319(1):61–81, 2000.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms The symplectic and algebraic geometry of horn’s problem.Linear Algebra and its Applications, 319(1):61–81, 2000

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:19.576634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:08.260663Z digest=sha256:4a384dd07cc92118927d4564192c9aa4832456057fba3cf53ae629c435bb317f

Observation de8e03f2-f837-4f13-a0d5-780a10318b11 · outbound

This paper cites The honeycomb model of GL n(C) tensor products i: Proof of the saturation conjecture.Journal of the American Mathematical Society, 12(4):1055–1090, 1999.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms The honeycomb model of GL n(C) tensor products i: Proof of the saturation conjecture.Journal of the American Mathematical Society, 12(4):1055–1090, 1999

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raw_fallback, observed 2026-08-07T15:01:19.380270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:08.310435Z digest=sha256:5d80c3db91f60d1dd8fb1d75982edecd88d6d0b6ce17ff1b046e716b5d742067

Observation 4b861217-a60d-43c0-808d-127cb78fc125 · outbound

This paper cites A simpler approach to obtaining an O(1/t) convergence rate for the projected stochastic subgradient method.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms A simpler approach to obtaining an O(1/t) convergence rate for the projected stochastic subgradient method

Reference 71

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:08.365803Z digest=sha256:194da6d645b9456e9b608e8777cd40bba11a62bcede59c02173e858a8bab1bc8

Observation ac51d987-3788-4188-b988-4b6aa82312cf · outbound

This paper cites Springer, 2018.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Springer, 2018

Reference 72

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no resolver link, observed 2026-08-07T15:01:08.432383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:08.432383Z digest=sha256:1f8064ae612d2a4ab4c92837d07c95949122c92945d369b738dfac62e74b2aa7

Observation 3949a307-9a27-46e4-8fe1-5ae2d5d101de · outbound

This paper cites Gradient descent with a general cost.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Gradient descent with a general cost

Reference 73

Resolution
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no resolver link, observed 2026-08-07T15:01:08.511203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:08.511203Z digest=sha256:dcb5fe5bd1b9b6cbe984398c56d19e46655eb027a4ae642d51cad91317887e18

Observation a8e9919d-4705-4680-b6a0-4eb63b3e0e94 · outbound

This paper cites Horoballs and the subgradient method.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Horoballs and the subgradient method

Reference 74

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verified exact
local_arxiv, observed 2026-08-07T15:01:12.351710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:08.606175Z digest=sha256:3417384923689babd2f8c1a84a40a5e22a6ba67dce3879fd94abcb4028bd3d80

Observation 5c18aba8-ed8d-4bcb-b9b9-e241bdee96f3 · outbound

This paper cites Accelerated Algorithms for Convex and Non-Convex Optimization on Manifolds.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Accelerated Algorithms for Convex and Non-Convex Optimization on Manifolds

Reference 75

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verified exact
local_arxiv, observed 2026-08-07T15:01:12.159534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:08.634607Z digest=sha256:7bb1a33f82bcf3813796c943328b09859612431fadfac1c13f5728feddaff63e

Observation 1197a43a-979d-4b1c-a31e-6263007d03e0 · outbound

This paper cites Fast and Safe: Accelerated gradient methods with optimality certificates and underestimate sequences.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Fast and Safe: Accelerated gradient methods with optimality certificates and underestimate sequences

Reference 76

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T15:01:11.956109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:08.694776Z digest=sha256:8619349e8b4249c646cf692de85b72e834e513202b1d69fdf4ceaf409370a7a3

Observation 0de91a90-e6fe-441c-a219-163a7c23f6d5 · outbound

This paper cites Global riemannian acceleration in hyperbolic and spherical spaces.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Global riemannian acceleration in hyperbolic and spherical spaces

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:19.265754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:08.784419Z digest=sha256:cc56fa2248750a445ca015870d69e03553d46342ee0bbd7d4d5572e6e60b19fa

Observation 86cb1e81-4e97-4fb6-9c6b-f874d4181837 · outbound

This paper cites Accelerated riemannian optimization: Han- dling constraints with a prox to bound geometric penalties.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Accelerated riemannian optimization: Han- dling constraints with a prox to bound geometric penalties

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:19.104038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:08.863778Z digest=sha256:46e13e05f867783ff05a90995090016c24f3f7a56bfaf7400376c28330f40669

Observation 7405c3de-c5b1-442e-96f8-ff9f6fa39c6f · outbound

This paper cites Convergence and Trade-Offs in Riemannian Gradient Descent and Riemannian Proximal Point.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Convergence and Trade-Offs in Riemannian Gradient Descent and Riemannian Proximal Point

Reference 79

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no resolver link, observed 2026-08-07T15:01:08.913713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:08.913713Z digest=sha256:420878df8d5a81cdaae7606652ac22a6509056dcff35e754db2719069d0da10b

Observation 7d9b6aea-a26d-4e1e-929a-71aa3f9444f6 · outbound

This paper cites Horocyclically convex univalent functions.Michigan Mathe- matical Journal, 53(3):483–496, 2005.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Horocyclically convex univalent functions.Michigan Mathe- matical Journal, 53(3):483–496, 2005

Reference 80

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verified fuzzy
raw_fallback, observed 2026-08-07T15:01:18.944013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:08.958185Z digest=sha256:60d9f9f49d57aaa81e731c86bec31b0c2042cd32b64dcdec609657dc4c34f544

Observation a1c84560-1d94-40e0-8aa5-d94dbf69f979 · outbound

This paper cites Proximit´ e et dualit´ e dans un espace hilbertien.Bulletin de la Soci´ et´ e math´ ematique de France, 93:273–299, 1965.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Proximit´ e et dualit´ e dans un espace hilbertien.Bulletin de la Soci´ et´ e math´ ematique de France, 93:273–299, 1965

Reference 81

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verified fuzzy
raw_fallback, observed 2026-08-07T15:01:18.817873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:09.024945Z digest=sha256:bcc445b35a9db01bf86729ff95deee73479e8c8f6510f370413eea486cbf5690

Observation ee2b6d35-9313-451b-a060-e3d8c3d83ac3 · outbound

This paper cites Some np-complete problems in quadratic and non- linear programming.Mathematical Programming, 39:117–129, 1987.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Some np-complete problems in quadratic and non- linear programming.Mathematical Programming, 39:117–129, 1987

Reference 82

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raw_fallback, observed 2026-08-07T15:01:18.625881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:09.105879Z digest=sha256:e1d54a9e9af155180b75a1cceee28b8eef85de8ef89043c298a8d35a8abc2bbe

Observation b4dac84b-d584-48f2-a685-a5206affc08a · outbound

This paper cites Nemirovski.Information-based complexity of convex programming.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Nemirovski.Information-based complexity of convex programming

Reference 83

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raw_fallback, observed 2026-08-07T15:01:18.440368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:09.212549Z digest=sha256:73bbf226b56f87660c4fdfae4c5726970e22b48ac5103ccf0ceaea895af1e226

Observation d6f64e27-f5d7-4c05-9dfd-673c91d7d120 · outbound

This paper cites On complexity of matrix scaling.Linear Algebra and its Applications, 302-303:435–460, 1999.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms On complexity of matrix scaling.Linear Algebra and its Applications, 302-303:435–460, 1999

Reference 84

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raw_fallback, observed 2026-08-07T15:01:18.266334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:09.265088Z digest=sha256:0a01ba37845fce08ee126f02eed4c399f0dec77cf2c2bd5e319d74e8bee215d1

Observation 81cf2eee-60e4-4c19-9b53-e67b3d59bf01 · outbound

This paper cites A method for solving the convex programming problem with convergence rateo(1/k 2).

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms A method for solving the convex programming problem with convergence rateo(1/k 2)

Reference 85

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:18.103122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:09.351108Z digest=sha256:a9a58143ae29632c534737ffc8dfd2d546dcbd058b265b8dfd0ac86109c46485

Observation 3188a3a8-05ba-4e65-9823-10923b24e5f0 · outbound

This paper cites Springer, 2018.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Springer, 2018

Reference 86

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no resolver link, observed 2026-08-07T15:01:09.436893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:09.436893Z digest=sha256:2294924b86c4bf3b743c7725ae4e9391a8e48a2d43c7c660d6945c1155ac7971

Observation eefcc4a5-171e-4b48-aef3-b8e516c1f2bf · outbound

This paper cites Springer, 2006.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Springer, 2006

Reference 87

Resolution
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no resolver link, observed 2026-08-07T15:01:09.515935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:09.515935Z digest=sha256:bc01805d263f710804f25cc754066d45ecb8785d56acb105bc64199f7ce41f13

Observation 1623ba68-4963-401f-9056-f285e7be77f6 · outbound

This paper cites an unresolved cited work.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Unresolved cited work

Reference 88

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:01:17.978404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:09.549413Z digest=sha256:b752a9dc1dc2675bf0b20ec09e802ebb665e3b6a7673aaeb7328e231663b1c37

Observation 775231bf-e67d-48da-99e5-723b1cf36c91 · outbound

This paper cites Princeton university press, 1997.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Princeton university press, 1997

Reference 89

Resolution
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raw_fallback, observed 2026-08-07T15:01:17.782678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:09.592016Z digest=sha256:88cd274ed62e6dc412b525a3ab73f1ff9b3728bc8a4f64ddec49fedf4a93e387

Observation f3a274f7-8057-4e54-ad61-0dcdaf47abe4 · outbound

This paper cites Springer Science & Business Media, 2009.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Springer Science & Business Media, 2009

Reference 90

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no resolver link, observed 2026-08-07T15:01:09.667100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:09.667100Z digest=sha256:f2dfeda6308a7a0504b1dbf30ba9864eaed0e69b78fc774f0cec899f71fff523

Observation de177244-5fa4-4ff7-809a-ff1c2d9c5238 · outbound

This paper cites Implicit Riemannian Optimism with Applications to Min-Max Problems.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Implicit Riemannian Optimism with Applications to Min-Max Problems

Reference 91

Resolution
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no resolver link, observed 2026-08-07T15:01:09.762172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:09.762172Z digest=sha256:b561a3dbeb9b2af2a9ec632e4868fb54f18839d6b9be7b142bd062d39223ad06

Observation edb8b5c8-805f-4cf7-80a8-ece737e5e2ce · outbound

This paper cites Springer Science & Business Media, 2013.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Springer Science & Business Media, 2013

Reference 92

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:17.618444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:09.844934Z digest=sha256:78b2a272dce9dedf49ab22dd2848b4033a85a25ceceac26b13dee2ed86f168a9

Observation 246703d8-2538-44f4-b620-6031b5b2f00d · outbound

This paper cites A Riemannian Corollary of Helly's Theorem.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms A Riemannian Corollary of Helly's Theorem

Reference 93

Resolution
unresolved
no resolver link, observed 2026-08-07T15:01:09.896282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:09.896282Z digest=sha256:e84028144d7e415771cccda5f23a75b4db57fe6f99695ce4af0ae3b85cf42a5c

Observation 668b016d-7da3-4a10-861f-2595d6ac8f21 · outbound

This paper cites Computationally related problems.SIAM Journal on computing, 3(4):262–279, 1974.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Computationally related problems.SIAM Journal on computing, 3(4):262–279, 1974

Reference 94

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raw_fallback, observed 2026-08-07T15:01:17.442979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:09.984976Z digest=sha256:52cd0edc1efb55d0e57ffeef2cd37ffb1cbcea1652b764f18f6b817a67d559e8

Observation 075bf611-b275-419e-b563-5fccb446024e · outbound

This paper cites Horocycles and convex sets in hyperbolic plane.Archiv der Mathematik, 18:529–533, 1967.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Horocycles and convex sets in hyperbolic plane.Archiv der Mathematik, 18:529–533, 1967

Reference 95

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:17.271329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:10.047308Z digest=sha256:d50a460b5cc8b33f91211f160b0270fe2fb7f3296a164fdd945708c3209b7fcc

Observation ca92e7b7-624f-4774-817f-551496a644ea · outbound

This paper cites Horospheres and convex bodies in hyperbolic space.Proceedings of the American Mathematical Society, 19(2):390–395, 1968.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Horospheres and convex bodies in hyperbolic space.Proceedings of the American Mathematical Society, 19(2):390–395, 1968

Reference 96

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:17.104423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:10.130881Z digest=sha256:6e5307dff2996d1ae2e41bfe859d695c6147b226da02af84ae7c87c86e2f2a6b

Observation 442d1d84-8ee1-4c17-a9b6-e258c5d10ddd · outbound

This paper cites Singer.Abstract Convex Analysis.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Singer.Abstract Convex Analysis

Reference 97

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raw_fallback, observed 2026-08-07T15:01:16.893942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:10.171503Z digest=sha256:ad0762f5940c0b97d306fc31770a6788a9e44100ca4645e36a0a8b0010e8a9a2

Observation 3d29c3c9-1fa2-49f5-85f4-140e2b4e824a · outbound

This paper cites an unresolved cited work.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Unresolved cited work

Reference 98

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:01:16.716115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:10.210336Z digest=sha256:16701611b7ad14c62e72ca9a23d888e458971d148ff75ffdb1fb0ac440f52b3d

Observation d5f46629-cccc-4979-bc7e-1b0337bbeebf · outbound

This paper cites Fully-connected network on noncompact symmetric space and ridgelet transform based on helgason-fourier analysis.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Fully-connected network on noncompact symmetric space and ridgelet transform based on helgason-fourier analysis

Reference 99

Resolution
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raw_fallback, observed 2026-08-07T15:01:16.529948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:10.299219Z digest=sha256:4d56510f22fcea4be70610564e051cdd640159d94276b5c217e0e9a61b5b00f8

Observation ebe1205f-3a29-492c-ac2e-54d734751d08 · outbound

This paper cites Sra and R.

Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms Sra and R

Reference 100

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:01:16.301052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T15:01:10.369356Z digest=sha256:2f064d1228080499ee055311c6bb1610ea893e1f25afbceb0d353173d6148ef8

Pith citing papers

Observation eba555f0-eb6c-4165-84cd-2c33e5efc4da · inbound

Online Optimization on Hadamard Manifolds: Curvature Independent Regret Bounds on Horospherically Convex Objectives cites this paper.

Online Optimization on Hadamard Manifolds: Curvature Independent Regret Bounds on Horospherically Convex Objectives Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms

Reference 9

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unresolved
no resolver link, observed 2026-08-04T17:01:57.015490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T17:01:57.015490Z digest=sha256:40d2f333aa3af10487410d743bbf269597a5e9e211ba7d33955aa9d4fb86dc4a

Observation 9a433c0b-7ea7-456a-83ed-d3292ef9bab3 · inbound

Minimal enclosing balls via geodesics cites this paper.

Minimal enclosing balls via geodesics Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-15T10:10:26.235367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-15T10:10:15.087893Z digest=sha256:6e3fcf26eeda94041f8cbfaf75b95a0493377c9c57a47000e2b6031aad05dd57

Observation 671a7967-92a6-4c4f-a0ba-b22ebc0612f9 · inbound

1-Lipschitz Neural Networks on Hadamard Manifolds cites this paper.

1-Lipschitz Neural Networks on Hadamard Manifolds Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms

Reference 28

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unresolved
no resolver link, observed 2026-08-01T12:55:37.594793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T12:55:37.594793Z digest=sha256:88b5f834f2eee7b554278e36619bd8b66c8810ce99ee731acb0930344d5fcf38

Observation 38a86400-3b32-4646-a848-25fa29147e4c · inbound

1-Lipschitz Neural Networks on Hadamard Manifolds cites this paper.

1-Lipschitz Neural Networks on Hadamard Manifolds Horospherically Convex Optimization on Hadamard Manifolds Part I: Analysis and Algorithms

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