Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness | Paper Citation Record

Observation 15744581-f5c3-4852-a8fb-6f457e0edf87 · outbound

This paper cites Chebyshev acceleration of iterative refinement.Numerical Algorithms, 66(3):591–608, 2014.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Chebyshev acceleration of iterative refinement.Numerical Algorithms, 66(3):591–608, 2014

Reference 1

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Observation 24c4e379-f52d-4cba-99ba-75fde0c35d8b · outbound

This paper cites Stochastic gradient push for distributed deep learning.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Stochastic gradient push for distributed deep learning

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.466177Z

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Observation c0e9d81b-1cd9-43b8-9df8-4d4b2fe0be82 · outbound

This paper cites On the complexity of finite-sum smooth optimization under the Polyak– Lojasiewicz condition.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness On the complexity of finite-sum smooth optimization under the Polyak– Lojasiewicz condition

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.450861Z

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Observation 4199bd02-d678-4fa2-b4fd-e7acfa465190 · outbound

This paper cites Generalized-smooth nonconvex optimization is as efficient as smooth nonconvex optimization.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Generalized-smooth nonconvex optimization is as efficient as smooth nonconvex optimization

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.436643Z

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Observation f06faafa-426c-4e24-a074-b2674be7880e · outbound

This paper cites Convergence of clipped-SGD for convex ( L0,L 1)-smooth optimization with heavy-tailed noise.arXiv preprint arXiv:2505.20817, 2025.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Convergence of clipped-SGD for convex ( L0,L 1)-smooth optimization with heavy-tailed noise.arXiv preprint arXiv:2505.20817, 2025

Reference 5

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Observation 6d48df81-0ecc-477c-8f0d-503d1dcda798 · outbound

This paper cites an unresolved cited work.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Unresolved cited work

Reference 6

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Observation 3e89b0cd-e87f-4110-b37e-38e86be44b1a · outbound

This paper cites Complexity Lower Bounds of Adaptive Gradient Algorithms for Non-convex Stochastic Optimization under Relaxed Smoothness.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Complexity Lower Bounds of Adaptive Gradient Algorithms for Non-convex Stochastic Optimization under Relaxed Smoothness

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:18:52.623130Z

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Observation 54d31de7-6655-419b-8784-ed4ac0009dde · outbound

This paper cites Robustness to unbounded smoothness of generalized SignSGD.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Robustness to unbounded smoothness of generalized SignSGD

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.407965Z

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Observation c34b958d-3014-4329-a7e1-8aaf85617a3a · outbound

This paper cites Momentum improves normalized SGD.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Momentum improves normalized SGD

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.392930Z

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Observation 320492b8-8c0d-48d6-9fd3-dfe4b0142754 · outbound

This paper cites On random graphs I.Publicationes Mathematicae Debrecen, 6(290-297): 18, 1959.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness On random graphs I.Publicationes Mathematicae Debrecen, 6(290-297): 18, 1959

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.376165Z

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Observation 54998c09-9809-4eca-b48c-c66d0e28a62f · outbound

This paper cites SPIDER: Near-optimal non-convex optimization via stochastic path-integrated differential estimator.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness SPIDER: Near-optimal non-convex optimization via stochastic path-integrated differential estimator

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.361450Z

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Observation 13ef42d6-13cc-44c9-9b6a-0567441cfeab · outbound

This paper cites Convergence of Clipped SGD on Convex $(L_0,L_1)$-Smooth Functions.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Convergence of Clipped SGD on Convex $(L_0,L_1)$-Smooth Functions

Reference 12

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Observation 67ed2a30-fe9d-4087-80f7-35f9345faa1c · outbound

This paper cites Local SGD: Unified theory and new efficient methods.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Local SGD: Unified theory and new efficient methods

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.346946Z

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Observation 252e0755-74a7-489c-9e8a-f92c9186862d · outbound

This paper cites Methods for Convex $(L_0,L_1)$-Smooth Optimization: Clipping, Acceleration, and Adaptivity.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Methods for Convex $(L_0,L_1)$-Smooth Optimization: Clipping, Acceleration, and Adaptivity

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T16:18:52.068165Z

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Observation 4317441b-e931-4e99-a33f-48abfcfb39cc · outbound

This paper cites Beyond convexity: Stochastic quasi-convex optimization.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Beyond convexity: Stochastic quasi-convex optimization

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.331140Z

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Observation 640a2d50-a0b4-42bc-aa0b-ed3872549d01 · outbound

This paper cites An optimal algorithm for decentralized finite-sum optimization.SIAM Journal on Optimization, 31(4):2753–2783, 2021.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness An optimal algorithm for decentralized finite-sum optimization.SIAM Journal on Optimization, 31(4):2753–2783, 2021

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.315857Z

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Observation 1c1794a2-dbe4-4cb1-80f1-c58db376a369 · outbound

This paper cites Decentralized Relaxed Smooth Optimization with Gradient Descent Methods.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Decentralized Relaxed Smooth Optimization with Gradient Descent Methods

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:18:52.566444Z

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Observation 33e12f9b-5b32-45c4-b126-4cd6281c1c90 · outbound

This paper cites Communication-efficient algorithms under generalized smoothness assumptions.OpenReview, 2024.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Communication-efficient algorithms under generalized smoothness assumptions.OpenReview, 2024

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.300653Z

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Observation 8efa917b-f94c-4db7-b0b4-96ecce5ed0f9 · outbound

This paper cites Error Feedback under $(L_0,L_1)$-Smoothness: Normalization and Momentum.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Error Feedback under $(L_0,L_1)$-Smoothness: Normalization and Momentum

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T16:18:52.094632Z

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Observation e22d5f05-ee0c-40f4-95c9-785f9af63d77 · outbound

This paper cites an unresolved cited work.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:18:53.285130Z

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Observation 772d20ca-c328-401d-9521-7fda7a88ae63 · outbound

This paper cites Lower bounds and optimal algorithms for non-smooth convex decentralized optimization over time-varying networks.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Lower bounds and optimal algorithms for non-smooth convex decentralized optimization over time-varying networks

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.269830Z

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Observation bb9d6e5a-3e85-4f2c-b19c-ca4ffcb096b3 · outbound

This paper cites Communication-efficient algorithms for decentralized and stochastic optimization.Mathematical Programming, 180(1):237–284, 2020.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Communication-efficient algorithms for decentralized and stochastic optimization.Mathematical Programming, 180(1):237–284, 2020

Reference 22

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Observation 2b988a20-932d-4da2-9efa-2e60d2342492 · outbound

This paper cites Gradient-based learning applied to document recognition.Proceedings of the IEEE, 86(11):2278–2324, 2002.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Gradient-based learning applied to document recognition.Proceedings of the IEEE, 86(11):2278–2324, 2002

Reference 23

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Observation 3389a44b-a505-41c6-aa60-d8d5ff49c7ff · outbound

This paper cites Convergence of adam under relaxed assumptions.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Convergence of adam under relaxed assumptions

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.234989Z

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Observation f43b3250-6e7b-4b1c-9157-697f6c55967b · outbound

This paper cites Variance reduced EXTRA and DIGing and their optimal acceleration for strongly convex decentralized optimization.Journal of Machine Learning Research, 23 (222):1–41, 2022.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Variance reduced EXTRA and DIGing and their optimal acceleration for strongly convex decentralized optimization.Journal of Machine Learning Research, 23 (222):1–41, 2022

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.219367Z

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Observation 611c7a5a-6717-480d-b732-105e765a01fa · outbound

This paper cites Problem-Parameter-Free Decentralized Nonconvex Stochastic Optimization.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Problem-Parameter-Free Decentralized Nonconvex Stochastic Optimization

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T16:18:52.129023Z

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Observation e7d1f9f0-c5dc-45c8-ac42-079bb693c22e · outbound

This paper cites Can decentralized algorithms outperform centralized algorithms? a case study for decentralized parallel stochastic gradient descent.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Can decentralized algorithms outperform centralized algorithms? a case study for decentralized parallel stochastic gradient descent

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.204505Z

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Observation cbcc876a-9fc2-4f01-b667-17b18b7b3b84 · outbound

This paper cites Decentralized gradient-free methods for stochastic non-smooth non-convex optimization.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Decentralized gradient-free methods for stochastic non-smooth non-convex optimization

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.189132Z

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Observation 1a5f8f51-47ed-4132-acc0-39f20f2010c9 · outbound

This paper cites Stephen Morse.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Stephen Morse

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.169911Z

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Observation f5595af1-73e4-4874-8cbb-34238db20bbb · outbound

This paper cites Decentralized convex finite-sum optimization with better dependence on condition numbers.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Decentralized convex finite-sum optimization with better dependence on condition numbers

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.153814Z

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Observation bc3e5b1d-5c10-43f1-ba8d-8d9dafd4b9a5 · outbound

This paper cites Nonconvex Stochastic Optimization under Heavy-Tailed Noises: Optimal Convergence without Gradient Clipping.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Nonconvex Stochastic Optimization under Heavy-Tailed Noises: Optimal Convergence without Gradient Clipping

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T16:18:52.155024Z

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Observation 1fbeb34c-a537-46a1-9c5f-a72ad2201bd7 · outbound

This paper cites Linear Convergence Rate in Convex Setup is Possible! Gradient Descent Method Variants under $(L_0,L_1)$-Smoothness.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Linear Convergence Rate in Convex Setup is Possible! Gradient Descent Method Variants under $(L_0,L_1)$-Smoothness

Reference 32

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Observation 82dc5212-fba7-4754-916a-d178f6ec9c2f · outbound

This paper cites Optimal complexity in decentralized training.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Optimal complexity in decentralized training

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.136422Z

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Observation 6a9631db-eca7-4caf-a414-7ee77e07781d · outbound

This paper cites On the Complexity of Decentralized Smooth Nonconvex Finite-Sum Optimization.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness On the Complexity of Decentralized Smooth Nonconvex Finite-Sum Optimization

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:18:52.472809Z

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Observation a33bb00f-abf6-45ac-8289-75634f09b93b · outbound

This paper cites an unresolved cited work.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:18:53.121160Z

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Observation a83f12d1-9ac1-4d6a-9c5b-9732252a79ee · outbound

This paper cites Decentralized Finite-Sum Optimization over Time-Varying Networks.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Decentralized Finite-Sum Optimization over Time-Varying Networks

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:18:52.447518Z

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Observation 0bbdcc1c-f58f-4574-8514-c35a160614a9 · outbound

This paper cites Distributed subgradient methods for multi-agent optimization.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Distributed subgradient methods for multi-agent optimization

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.105428Z

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Observation fa33342c-1c6b-45df-9e87-796faa782105 · outbound

This paper cites Achieving geometric convergence for distributed optimization over time-varying graphs.SIAM Journal on Optimization, 27(4):2597–2633, 2017.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Achieving geometric convergence for distributed optimization over time-varying graphs.SIAM Journal on Optimization, 27(4):2597–2633, 2017

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-15T16:18:52.191527Z

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Observation 92d3f03a-0c0d-478f-a757-6cfc14dec689 · outbound

This paper cites Network topology and communication- computation tradeoffs in decentralized optimization.Proceedings of the IEEE, 106(5):953–976, 2018.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Network topology and communication- computation tradeoffs in decentralized optimization.Proceedings of the IEEE, 106(5):953–976, 2018

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.079099Z

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Observation 8c44dfc9-1d19-408c-ac98-d14c21cdf95b · outbound

This paper cites Harnessing smoothness to accelerate distributed optimization.IEEE Transactions on Control of Network Systems, 5(3):1245–1260, 2017.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Harnessing smoothness to accelerate distributed optimization.IEEE Transactions on Control of Network Systems, 5(3):1245–1260, 2017

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-15T16:18:52.201133Z

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Observation 5caa1409-3b7e-438d-a7ce-044e11946f5d · outbound

This paper cites Variance-reduced clipping for non-convex optimization.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Variance-reduced clipping for non-convex optimization

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.053369Z

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Observation 73c9284b-6422-44f5-b834-6e63660541d5 · outbound

This paper cites An online optimization perspective on first-order and zero-order decentralized nonsmooth nonconvex stochastic optimization.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness An online optimization perspective on first-order and zero-order decentralized nonsmooth nonconvex stochastic optimization

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:53.037999Z

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Observation b2897452-77a4-4f82-b5ea-742d48d73840 · outbound

This paper cites Optimal algorithms for smooth and strongly convex distributed optimization in networks.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Optimal algorithms for smooth and strongly convex distributed optimization in networks

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:52.905414Z

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Observation b5d6ca24-6007-4d3c-aae7-0aa3ecc37f98 · outbound

This paper cites Optimal gradient tracking for decentralized optimization.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Optimal gradient tracking for decentralized optimization

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:52.890711Z

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Observation ddf833cb-03cb-4d60-bdc1-fefe5a7b3a91 · outbound

This paper cites Revisiting stochastic proximal point methods: Generalized smoothness and similarity.arXiv preprint arXiv:2502.03401, 2025.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Revisiting stochastic proximal point methods: Generalized smoothness and similarity.arXiv preprint arXiv:2502.03401, 2025

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-15T16:18:52.225164Z

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Observation 99b3d212-33ac-47e1-98d1-be083402b3bc · outbound

This paper cites Toward a unified theory of gradient descent under generalized smoothness.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Toward a unified theory of gradient descent under generalized smoothness

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:52.875092Z

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Observation 6649d37f-e879-4295-95aa-76793e49d1c6 · outbound

This paper cites an unresolved cited work.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:18:52.858193Z

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Observation bb3076e5-9ca8-4fc8-9d11-5aca0de026b8 · outbound

This paper cites Woodworth, Kumar Kshitij Patel, and Nati Srebro.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Woodworth, Kumar Kshitij Patel, and Nati Srebro

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:52.842871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 71a098ab-02f6-4b80-a332-71c03a30fb51 · outbound

This paper cites Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-15T16:18:52.246183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7dd9953e-da1f-4fbe-8135-4c17b76c00ca · outbound

This paper cites Trust region methods for nonconvex stochastic optimization beyond lipschitz smoothness.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Trust region methods for nonconvex stochastic optimization beyond lipschitz smoothness

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:52.826451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ad842f8f-f69e-455a-a027-fa72c403ef88 · outbound

This paper cites an unresolved cited work.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Unresolved cited work

Reference 51

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:18:52.809012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 501ddf07-8ab8-456c-9bff-bf6d83b95ad9 · outbound

This paper cites Multi-consensus decentralized accelerated gradient descent.Journal of Machine Learning Research, 24(306):1–50, 2023.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Multi-consensus decentralized accelerated gradient descent.Journal of Machine Learning Research, 24(306):1–50, 2023

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:52.793398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dffa6e4f-6d54-4e9f-98b2-386ef999aec0 · outbound

This paper cites Mirror Descent Under Generalized Smoothness.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Mirror Descent Under Generalized Smoothness

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-15T16:18:52.268751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84a60ff5-6a0f-4c04-8d2f-6d4c22078bad · outbound

This paper cites Revisiting optimal convergence rate for smooth and non-convex stochastic decentralized optimization.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Revisiting optimal convergence rate for smooth and non-convex stochastic decentralized optimization

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:52.775910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5c17b371-7c78-4cae-8c23-9820f91f6c1b · outbound

This paper cites Improved analysis of clipping algorithms for non-convex optimization.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Improved analysis of clipping algorithms for non-convex optimization

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:52.759396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f85878fc-69bc-4273-af70-fef83c4dea4a · outbound

This paper cites 1 T T−1X t=0 ∇f( ¯xt) # ≤E 8(Φ0−Φ T ) 5ηT + 6ηLf 5 ≤ 8∆Φ 5ηT + 6ηLf 5 , where the last step holds due to E[Φ0−Φ T ] =E.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness 1 T T−1X t=0 ∇f( ¯xt) # ≤E 8(Φ0−Φ T ) 5ηT + 6ηLf 5 ≤ 8∆Φ 5ηT + 6ηLf 5 , where the last step holds due to E[Φ0−Φ T ] =E

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:52.743515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 58b4a8d4-96d8-4d46-baaa-9bb5401a6091 · outbound

This paper cites an unresolved cited work.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Unresolved cited work

Reference 57

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:18:52.726931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f1dcde01-a23a-486d-8d3e-41ab6a91994b · outbound

This paper cites 1 T T−1X t=0 ∇f(x t i) # ≤E.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness 1 T T−1X t=0 ∇f(x t i) # ≤E

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:18:52.710709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Coverage vector

Reference resolution

Outbound references

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