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Paper Citation Record · LEDGER

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

As of 7 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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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:d51e96255c342f974a7f309f805cb0a6effcd33424c7da8a785868f66c6b5b99

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:f0251cb8bdb9f82cbfb66d1856854ac7a30448a8cfa49a10534fbc2d1ddc7e90

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=sha256:26b680e95e4431eb302969723b41dde2e6eb885bd59fbe08751038518bbc86b1

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=sha256:5b9dbf062c2a2f7025a8fb20c33f4ba855c798fa1b3de42508c7139583ffa328

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:c6e6ce3b2b97d7e2cc6d0abd710eb5b9dd6d2eaa57c7015a9111f61da9dd25de

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=sha256:9bb93bf6b3aa14b3a1f5b42c2ec2d78d93ecb498ae9f32288d1b67e4841105a5

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:b3147e2f1daca5f90fd801986535f257de9f2bf0a492a070c9f095a5c455cefe

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=sha256:0ef2ca8331c64e39ec91d8d642486177d5aab86be3f04ffa46f5f8763d9b2956

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=sha256:2f71af03285129727f9d26d77837ae1a94d9491abc29d3a52b03ffa1159dbae6

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=sha256:58cbaaf782777ef2326609b2676a3acbedc52ddbf373055c74e45160f8e005b5

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=sha256:7b08100bbbe405da108d9603c7dc3b3291a8cd3f5a09971036b8575e77b43a5d

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=sha256:6516ace006f4bf31e7fdc37abc0cf7d6108f59e61ae7ce4378b19f8d25127576

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:e84a5c35043b103007c3fd936b96b4a12207d9726b0b9de15bf95bea4b03fad5

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=sha256:1f7e3e3e8b10bdb39b74a3e561d60da041ee37aac80171da5cd74721a900be2c

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=sha256:653072d0e4c245668948415cddb7eb80962e4cd6a398ae26f6fa4124f614e4b9

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=sha256:9cd862da88571d259978a0986b421a556fee9d05fbcf4d77b693391a1b92fc8c

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:b6e34feaabfe0fecb586fd5fb6176561a4560661c3e56efc57b202e15fe6b4f6

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=sha256:64e77261b94558e644cf5e553852066f8de454b9dfd67c6878a9a9982067bfe9

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=sha256:32b28c0217d5a5af97eb9a4232198a33640017b0064095ceb04fa211e0f56c32

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=sha256:582fb790a0391bc6f89c1d4b64a2d9662a69431efdbfd6ae96e57c9f9f45489d

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=sha256:01b29201b64bedfd3d787dabdf471ef35a31e40b1c3ee637769f664aaf588c72

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=sha256:7097b2aa19b7ab6841c0329c4e0294dfd6efb3019b3beb5836f8fd196891315b

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=sha256:3b9fcf150821894ec836277deac5f28417ca333d74c78ce3be434962f9c02df7

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=sha256:1886fdfe390804dc01d101b33415df7b30b239828c3b313cadb6d874166d509b

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:b80cebad46dca4b6d53b8505a34e02be04da34ab001ac0dfd09a2a8f636478c5

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=sha256:69ff3ad54222c86ad29918a55ab3dbc8f5bf34232c255a787b22bc7eb700d8d0

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:ed0dd506a56b0081cefd65efb705e561bd4b65641ab80e6bd80dcbe59e23219f

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=sha256:86794068432dd6059a9bf92a466463527f4c9bdd8cbe97afc1494c0adff8c1b2

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=sha256:04ae031ddf39d65f9314026629e85c2ee2cc1d220cc2ff8da92828fbfb281421

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=sha256:53d6a96cdc3024e096b53ac8d3ce2b1883d2cf7a3af668568e998e3463c2fb35

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=sha256:5c68640ca03a6a6a4b1183e3264a1eb58edc99af38937a44fe58d552f502e793

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=sha256:09037d0617a5d9f25adbb0a1ffe93dac41cda6ef083866a83901518c648990ba

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:cbe68a029bf2bc4e70e0651cd6bf7004cadd22467d5b67db1c73d2c2eb2bd1a4

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:a3a0a4fa9ea76df1315bf1568edb94fc72609b44bfed2befaa1dfd094e929cc3

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=sha256:595f58b0cc330f013b6b8f257ab4b0ac4a96e6d1760f5622d6738df30857f5f1

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:f574f5a777f28b0399163eee4dbc21219515d8d080f8a45d3dcb5907d1a85594

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=sha256:1faa6e82d27dd51f41272d7437a4cfc706498c48af118b14a9817cd02baf7a43

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:01:08.432383Z digest=sha256:2fdcd79bcf4e95bad5ff292c5448a015742582262a544f73af7abe7648af365e

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:d5ba34989199ee4721b05e21c061288d61f1952bba40051c19417374115bc016

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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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=sha256:781e115574e5435f3b8902ed76dbfc551ea9cacca5aa6d68f9f846209586ece4

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:c3b7a0db82dd6ac6de0efc6f3e1e381ad66512f6aae2f5310c2121e817e7af73

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=sha256:570924200e800b54b16bfd243dbbb9767f0e27fb121bb838d848914e49c76c33

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:cd3455507950095696070785b901eb87ea11a61fc0e67cf2b9921c4cb22f942e

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:f980ae46b188399f4e8544faeddcb5594c092433e4369f56bb42d41134a16b0e

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:c7388a92981cbbabd30cc62956d48faeef097d17bef940a5ce08b8bfd8792767

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=sha256:3355b63a9ee874ef107f865497277b392a4df81dc6b813d5c5013c3f97281e5c

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:dcdb16e86de01686790e524b4d42a3ffc1c0168d153c7a7cee78fabb6895034f

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:b4c9fc3a3134b907ae258f9f4c9c50ebb762f630104bc348a7b3d3a85acd5bbf

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

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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=sha256:40e500f6189e28a2fa5d274fa3b1ac9838afe7a2ace1497f557fcbb40a7d1ce5

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=sha256:12116276e478170d0c3cd88d874c53dde309102c26e621fef895443dd8841ca7

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

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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:aab37958945daba55ce081487ce887403a937a9f47c8acc0f00d91e8f01ce319

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:e0ad3e196682af69dcba2737cfd616b4f51982655dd80351389091bb1203ab4a

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

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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=sha256:06bf87524926a80b25e0b14c3f09bd75c8e4de92bb1302d2f07e5164b3dbe51b

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
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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:ffe50321d5eb8315344bd358af531cb16275a1c93dac7c64c7bcbded85219b19

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

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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=sha256:75904879a6db67ec71a49a0d3484dfae673af90e1cc71bd17fd3912f1241eaf9

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=sha256:2d7980de36ae6b25e69cd91a5e7719fc5911e0dfbb61fb433f3d5e420a83d4ad

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

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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:ecd3d25e9a8443d94a7008d3af65b4ca1d1ad38078c49c938584fd91c5927819

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=sha256:3f2b8c4c598e6911b98892eb2c530df7b52b31946457db78d36922f36c8ed54b

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
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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:cb96610f1e262e288d4bed1f1dd86f1c9e21e4eae2e92315f57e23faf1230821

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=sha256:8180af5550edeadc586dbbf612fc8c1a082bc478fcf1459bbd104e09cd6639a5

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:d346d9742f46d4656c1b0ef3514398181bdf3f73a7bbc52128994d192d49bdf7

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=sha256:3d0b94912a9e20ab6859515ef25e9f8f2555b4655ac44dc84f0b84159e58db66

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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verified fuzzy
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=sha256:515ba0572b89c6d742a4dc6a25a73de345acab36852f4c3dbdbb7f6e98151ceb

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
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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:c85496a38a7df45172ccc1661234d7b996bad71970867c5f6306389c62a85d85

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

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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=sha256:71dc7c31cd19994eb7fc1cdae20106e863862b8ea8b3e8a9492d35bc09dab598

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

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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=sha256:5ee90b7cecd3e34caf5889de59cb9d3df0eb7fbd6fef04a5f59d55617a97586f

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=sha256:515ab76e3ee4369fb30463cd4034c5014c9f212d35b1b0f4b7acd25206d2be00

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=sha256:9b483329b5a4dff8401371023ea8a9936e004be3e1351eb08463e564b2df1600

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:fd93263e3ff8f3acb50b6cc5f644eb7fa0cf507a683f2f4893ffc5bfd77ceb52

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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