Paper Citation Record · LEDGER

Local exponential stability of mean-field Langevin descent-ascent and associated particle system

As of 21 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 2 inbound Pith citation observations for arXiv:2602.01564.

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pith.paper-citation-record.v1
2602.01564 v2

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56 of 56 outbound references displayed

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Outbound references

Observation a8004dc4-1688-4f94-ba03-cace217e3323 · outbound

This paper cites Wasserstein generative adversarial networks.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Wasserstein generative adversarial networks

Reference 1

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This paper cites u rich. Birkh \.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system u rich. Birkh \

Reference 2

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Observation f4f3aeac-3258-427d-aa29-210cb9a25c0e · outbound

This paper cites Convergence of two-timescale gradient descent ascent dynamics: finite-dimensional and mean-field perspectives.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Convergence of two-timescale gradient descent ascent dynamics: finite-dimensional and mean-field perspectives

Reference 3

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Observation 9b3a689e-d98e-4b01-a3cf-763f169b1f44 · outbound

This paper cites Analysis and geometry of Markov diffusion operators , volume 348.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Analysis and geometry of Markov diffusion operators , volume 348

Reference 4

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system Unresolved cited work

Reference 5

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Observation 05a13558-007a-43f2-85f6-37b1f82cad1a · outbound

This paper cites Functional Analysis, Sobolev Spaces and Partial Differential Equations.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Functional Analysis, Sobolev Spaces and Partial Differential Equations

Reference 6

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Observation 33a17631-c04f-438c-961b-700c3124aaca · outbound

This paper cites On the global convergence of gradient descent for over-parameterized models using optimal transport.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system On the global convergence of gradient descent for over-parameterized models using optimal transport

Reference 7

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Observation a5ed1576-296c-4417-8c41-b1d4f0fb5bda · outbound

This paper cites Mean-field langevin dynamics: Exponential convergence and annealing.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Mean-field langevin dynamics: Exponential convergence and annealing

Reference 8

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Observation 786cacfc-6448-4710-8903-28b3268b68fa · outbound

This paper cites Coupled Wasserstein Gradient Flows for Min-Max and Cooperative Games.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Coupled Wasserstein Gradient Flows for Min-Max and Cooperative Games

Reference 9

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This paper cites Wasserstein- ojasiewicz inequalities and asymptotics of mckean-vlasov equation.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Wasserstein- ojasiewicz inequalities and asymptotics of mckean-vlasov equation

Reference 10

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Observation 9c489458-bad8-4353-9c1b-45cea485f694 · outbound

This paper cites Carrillo, Robert J.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Carrillo, Robert J

Reference 11

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Observation 47904b25-5956-400f-ad03-4b810a2c0a3d · outbound

This paper cites On the convergence of min-max langevin dynamics and algorithm.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system On the convergence of min-max langevin dynamics and algorithm

Reference 12

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Observation c7b4f3e8-a82b-434a-bfcf-f7d1536f6760 · outbound

This paper cites A mean-field analysis of two-player zero-sum games.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system A mean-field analysis of two-player zero-sum games

Reference 13

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Observation e8fcc3bc-c77b-4171-a869-088d73cc2b82 · outbound

This paper cites Convergence rates of two-time-scale gradient descent-ascent dynamics for solving nonconvex min-max problems.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Convergence rates of two-time-scale gradient descent-ascent dynamics for solving nonconvex min-max problems

Reference 14

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This paper cites Reducing exit-times of diffusions with repulsive interactions.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Reducing exit-times of diffusions with repulsive interactions

Reference 15

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This paper cites The complexity of constrained min-max optimization.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system The complexity of constrained min-max optimization

Reference 16

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Observation 973820fa-20c1-4f20-948f-cb66f5f8d9f8 · outbound

This paper cites Quantitative harris-type theorems for diffusions and mckean--vlasov processes.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Quantitative harris-type theorems for diffusions and mckean--vlasov processes

Reference 17

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system Unresolved cited work

Reference 18

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Observation d9e70dd9-df0f-4a2b-8023-84535caec2e5 · outbound

This paper cites Do gans always have nash equilibria? In International Conference on Machine Learning , pages 3029--3039.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Do gans always have nash equilibria? In International Conference on Machine Learning , pages 3029--3039

Reference 19

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Observation 301cfd2f-d67d-48c9-b1d0-6c5a0c31e8f7 · outbound

This paper cites A certain class of diffusion processes associated with nonlinear parabolic equations.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system A certain class of diffusion processes associated with nonlinear parabolic equations

Reference 20

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system Unresolved cited work

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This paper cites Goodfellow, Jean Pouget-Abadie, Mehdi Mirza, Bing Xu, David Warde-Farley, Sherjil Ozair, Aaron Courville, and Yoshua Bengio.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Goodfellow, Jean Pouget-Abadie, Mehdi Mirza, Bing Xu, David Warde-Farley, Sherjil Ozair, Aaron Courville, and Yoshua Bengio

Reference 22

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system Gilbarg and N

Reference 23

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This paper cites Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Exponential Ergodicity in Relative Entropy and $L^2$-Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs

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This paper cites Finding mixed N ash equilibria of generative adversarial networks.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Finding mixed N ash equilibria of generative adversarial networks

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This paper cites Mean-field langevin dynamics and energy landscape of neural networks.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Mean-field langevin dynamics and energy landscape of neural networks

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This paper cites On gradient descent-ascent flows in metric spaces.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system On gradient descent-ascent flows in metric spaces

Reference 27

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This paper cites What is local optimality in nonconvex-nonconcave minimax optimization? In International conference on machine learning , pages 4880--4889.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system What is local optimality in nonconvex-nonconcave minimax optimization? In International conference on machine learning , pages 4880--4889

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system Symmetric mean-field langevin dynamics for minimax optimization

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system Unresolved cited work

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This paper cites Transformers learn nonlinear features in context: nonconvex mean-field dynamics on the attention landscape.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Transformers learn nonlinear features in context: nonconvex mean-field dynamics on the attention landscape

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system Second order parabolic differential equations

Reference 32

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This paper cites Convergence of mean-field L angevin stochastic descent-ascent for distributional minimax optimization.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Convergence of mean-field L angevin stochastic descent-ascent for distributional minimax optimization

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This paper cites Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Convergence of Time-Averaged Mean Field Gradient Descent Dynamics for Continuous Multi-Player Zero-Sum Games

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system Some geometric calculations on W asserstein space

Reference 35

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system Two-scale gradient descent ascent dynamics finds mixed N ash equilibria of continuous games: A mean-field perspective

Reference 36

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system A convexity principle for interacting gases

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system Unresolved cited work

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system The numerics of gans

Reference 39

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This paper cites Local convergence rates for wasserstein gradient flows and mckean-vlasov equations with multiple stationary solutions.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Local convergence rates for wasserstein gradient flows and mckean-vlasov equations with multiple stationary solutions

Reference 40

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system Learning in games via reinforcement and regularization

Reference 41

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This paper cites On finding local nash equilibria (and only local nash equilibria) in zero-sum games.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system On finding local nash equilibria (and only local nash equilibria) in zero-sum games

Reference 42

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This paper cites Provably convergent quasistatic dynamics for mean-field two-player zero-sum games.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Provably convergent quasistatic dynamics for mean-field two-player zero-sum games

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system On elliptic partial differential equations

Reference 44

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system Convex analysis of the mean field langevin dynamics

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This paper cites The geometry of dissipative evolution equations: the porous medium equation.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system The geometry of dissipative evolution equations: the porous medium equation

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This paper cites Comparison between w2 distance and \.h - 1 norm, and localization of wasserstein distance.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Comparison between w2 distance and \.h - 1 norm, and localization of wasserstein distance

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This paper cites The Fokker-Planck Equation: Methods of Solution and Applications.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system The Fokker-Planck Equation: Methods of Solution and Applications

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system Population games and evolutionary dynamics

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This paper cites Convergence of mean-field langevin dynamics: time-space discretization, stochastic gradient, and variance reduction.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Convergence of mean-field langevin dynamics: time-space discretization, stochastic gradient, and variance reduction

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system Well-posedness of multidimensional diffusion processes with weakly differentiable coefficients

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Local exponential stability of mean-field Langevin descent-ascent and associated particle system Unresolved cited work

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Observation 17ab2377-61da-4795-ba42-3268a85c05d5 · outbound

This paper cites Open problem: Convergence of single-timescale mean-field langevin descent-ascent for two-player zero-sum games.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Open problem: Convergence of single-timescale mean-field langevin descent-ascent for two-player zero-sum games

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Observation 1bfec6c9-2799-4799-8661-90ea527bfc24 · outbound

This paper cites An exponentially converging particle method for the mixed nash equilibrium of continuous games.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system An exponentially converging particle method for the mixed nash equilibrium of continuous games

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This paper cites Global convergence and variance reduction for a class of nonconvex-nonconcave minimax problems.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Global convergence and variance reduction for a class of nonconvex-nonconcave minimax problems

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This paper cites Optimal epoch stochastic gradient descent ascent methods for min-max optimization.

Local exponential stability of mean-field Langevin descent-ascent and associated particle system Optimal epoch stochastic gradient descent ascent methods for min-max optimization

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Pith citing papers

Observation ede1a04c-30c1-4aa6-905f-f288f962c47c · inbound

PL conditions do not guarantee convergence of gradient descent-ascent dynamics cites this paper.

PL conditions do not guarantee convergence of gradient descent-ascent dynamics Local exponential stability of mean-field Langevin descent-ascent and associated particle system

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-07-03T02:17:09.192952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6028bec0-fa76-4f7b-845b-22af9bacbf28 · inbound

Oscillating solutions to the mean-field Langevin descent-ascent flow cites this paper.

Oscillating solutions to the mean-field Langevin descent-ascent flow Local exponential stability of mean-field Langevin descent-ascent and associated particle system

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-03T02:17:09.192952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.