Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:38:41.703379Z
Paper Citation Record · LEDGER
As of 21 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2608.11760.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:38:41.703379Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
43 of 43 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 66ea058e-80eb-4feb-bc3c-f54a70e5f28a · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Katyusha: The first direct acceleration of stochastic gradient methods.Journal of Machine Learning Research, 18(221):1–51, 2018
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation dbcdaf16-3fbb-46b2-b351-166d62dc7f25 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Much faster algorithms for matrix scaling
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d8872248-af62-41aa-bdca-ffc5b8472825 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Near-linear time approximation algorithms for optimal transport via sinkhorn iteration.Advances in Neural Information Processing Systems, 30, 2017
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 09de9c69-dea7-4335-a418-195d3f465d08 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Estimating nonnegative matrices from marginal data.International Economic Review, 6(3):294–310, 1965
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c7332636-11b4-44fb-8b76-91e831872686 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Towards Optimal Running Times for Optimal Transport
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b22a4781-c73f-498d-b577-9398bd3f514c · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Better and simpler error analysis of the sinkhorn–knopp algorithm for matrix scaling.Mathematical Programming, 188(1):395–407, 2021
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5571bdc8-5329-44d0-802d-cf71484c28c3 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Matrix scaling and balancing via box constrained newton’s method and interior point methods
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e932197a-22fd-44d5-9949-2cfddd3b6d93 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Semidual regularized optimal transport.SIAM Review, 60(4):941–965,
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f4b15f4f-d96d-42ff-b374-c135ad55d275 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Acceleration methods.Foundations and Trends®in Optimization, 5(1-2):1–245, 2021
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8c5835a1-44fb-45b5-b7c9-c8fd4930f517 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Stochastic matrix-free equilibration.Journal of Optimization Theory and Applications, 172(2):436–454, 2017
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ec3eb59c-c16b-4020-ad63-29065bba53b8 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Computational optimal transport: Com- plexity by accelerated gradient descent is better than by sinkhorn’s algorithm
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9efd1ffe-c72d-481e-9f52-5ff5bcbb366e · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Parameterselectionandpreconditioningforagraphformsolver
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 38b0a61b-30fa-44ce-93a7-41d17084ad54 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp On the scaling of multidimensional matrices.Linear Algebra and its applications, 114:717–735, 1989
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f108af17-7b38-456c-8324-b01b8ec2be91 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Non-asymptotic local convergence analysis of alternating minimization, April 2026
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a17a2056-3d84-44f7-a89b-1f954def582f · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Gradient Methods with Online Scaling Part I. Theoretical Foundations
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f8f6d97-54a5-4a88-a324-429dc6560b0f · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Fast and large-scale unbalanced optimal transport via its semi-dual and adaptive gradient methods.arXiv preprint arXiv:2602.10697, 2026
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 94fafc9e-c59c-4052-ac60-8090999f9e22 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp On the Efficiency of Sinkhorn-Knopp for Entropically Regularized Optimal Transport
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fbede85d-f04d-4bfd-81df-365636e7cd9b · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Phase transition of the sinkhorn-knopp algorithm
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c8b40211-814d-453b-880b-500151ae4ca3 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp A review of matrix scaling and Sinkhorn's normal form for matrices and positive maps
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 77119a49-6cca-4cb1-946a-497a31d7e4c3 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp A direct tilde{O}(1/epsilon) iteration parallel al- gorithm for optimal transport.Advances in Neural Information Processing Systems, 32, 2019
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 80931f80-6399-40b9-a9ae-697a4c94d356 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp A theorem of the alternative for multihomogeneous functions and its relationship to diagonal scaling of matrices.Linear Algebra and its Applications, 236:1–24, 1996
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5cf9d86e-da41-436b-80c9-ba9f61cf6f2d · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp On the rate of convergence of deterministic and randomized ras matrix scaling algorithms.Operations research letters, 14(5):237–244, 1993
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1328d555-6629-4c90-979f-a850f604c555 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Onthecomplexityofnonnegative-matrixscaling.Linear Algebra and its applications, 240:87–103, 1996
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3b95a39d-910c-44fd-acc6-7ae6df9d4596 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp On the complexity of general matrix scaling and entropy minimization via the ras algorithm.Mathematical Programming, 112(2):371–401, 2008
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 20785235-1683-4985-9e38-7cb9f73df252 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp The sinkhorn–knopp algorithm: convergence and applications.SIAM Journal on Matrix Analysis and Applications, 30(1):261–275, 2008
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c2270a30-7f7f-47dc-8309-466182a485b1 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp A geometric structure of acceleration and its role in making gradients small fast.Advances in Neural Information Processing Systems, 34:11999–12012, 2021
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b72ca6ab-9436-47b7-9dab-dddde3c7d924 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp A note on overrelax- ation in the sinkhorn algorithm.Optimization Letters, 16(8):2209–2220, 2022
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c1e92cd9-fa80-42b5-8ea4-1badc9ccd2a8 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp On efficient optimal transport: An analysis of greedy and accelerated mirror descent algorithms
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1cf8e6a1-b002-4b3e-9239-f18a73b605cb · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp A deterministic strongly polynomial algorithm for matrix scaling and approximate permanents
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3c60781c-5687-4db9-9e4d-bfb43a17098c · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Softmax is $1/2$-lipschitz: A tight bound across all $\ell_p$ norms.Transactions on Machine Learning Research, 2026
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 54ec403b-9bf0-4bda-a22b-0cec84fa88ac · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp On complexity of matrix scaling.Linear Algebra and its Applica- tions, 302:435–460, 1999
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 772f51ba-28e9-4807-a5c0-09ce3f1ce797 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Springer Science & Business Media, 2013
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 820a360e-f1b8-4a4d-a0c3-8f8ccf68249d · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Quantum entropic regular- ization of matrix-valued optimal transport.European Journal of Applied Mathematics, 30(6):1079–1102,
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d9c6123c-5560-42b6-9694-97142f13fd03 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Now Foundations and Trends, 2019
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 02efcd5e-a7a4-4480-91ae-264877a32bc0 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp On sinkhorn’s algorithm and choice modeling.Operations Research, 2025
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 36ec1e96-8d53-440a-9a7d-081f1bd43283 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Concerning nonnegative matrices and doubly stochastic matrices
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e5a3fb97-d704-4bd5-a2df-ffd1fb6e70fe · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Exact worst-case convergence rates of the proximal gradient method for composite convex minimization.Journal of Optimization Theory and Appli- cations, 178(2):455–476, 2018
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5305317b-277c-43d3-8c9d-72078ffcf8d5 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Overrelaxed sinkhorn–knopp algorithm for regularized optimal transport.Algorithms, 14(5):143, 2021
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation abec382e-cbe5-49da-9ca8-7a1bdb1d00bb · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp mHC: Manifold-Constrained Hyper-Connections
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84becbd0-36d5-4b7d-bdb3-03b73b906139 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp Accelerating Sinkhorn for Entropy-Regularized Optimal Transport
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 89500fc2-f7bf-4853-92d5-0bc14335f66d · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp For∆ 2, sinceℓ(u)is a quadratic function minimized atu−P −1∇ℓ(u), we have ∆2 =ℓ(u−P −1∇α(u))−ℓ(u−P −1∇ℓ(u)) = 1 2∥∇α(u)−∇ℓ(u)∥ 2 P−1 ≤ 1 2∥∇φ(u,v)−∇λ(u,v)∥ 2 S−1≤ 2 sε2
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 50c3e2de-500b-4e63-af93-5435e438cd04 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp (cited on 2, 4, 7)
Reference 901
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 783412e0-269e-45de-9b9b-ac1f9ad84495 · outbound
Tight Nonasymptotic Local Convergence of Sinkhorn-Knopp (cited on 4, 7, 16)
Reference 3991
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
No inbound Pith citation observations are available.