Cover Image

The ballistic limit of the log-Sobolev constant equals the Polyak-Łojasiewicz constant

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chewi, Sinho, Stromme, Austin J.
Format:	Preprint
Published:	2024
Subjects:	Probability Functional Analysis Optimization and Control
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Genericity of Polyak-Lojasiewicz Inequalities for Entropic Mean-Field Neural ODEs
by: Daudin, Samuel, et al.
Published: (2025)

Subadditivity of the log-Sobolev constant on convolutions
by: Courtade, Thomas A., et al.
Published: (2025)

Shifted Composition II: Shift Harnack Inequalities and Curvature Upper Bounds
by: Altschuler, Jason M., et al.
Published: (2023)

Weak optimal transport with unnormalized kernels
by: Choné, Philippe, et al.
Published: (2022)

Global Regularity Estimates for Optimal Transport via Entropic Regularisation
by: Gozlan, Nathael, et al.
Published: (2025)

Least-Squares Problem Over Probability Measure Space
by: Li, Qin, et al.
Published: (2025)

Frictional martingale optimal transport and robust hedging
by: Rai, Pratik
Published: (2025)

Polyak-Lojasiewicz Inequality for Quadratically Regularized Optimal Transport
by: González-Sanz, Alberto, et al.
Published: (2026)

Lectures on optimization
by: Chewi, Sinho
Published: (2026)

Growth estimates on optimal transport maps via concentration inequalities
by: Fathi, Max
Published: (2024)

Entropic regularization of Monge's problem
by: Nutz, Marcel, et al.
Published: (2026)

Quantitative rigidity of the Wasserstein contraction under convolution
by: Fathi, Max, et al.
Published: (2025)

Poincare Inequality for Local Log-Polyak-Łojasiewicz Measures: Non-asymptotic Analysis in Low-temperature Regime
by: Gong, Yun, et al.
Published: (2024)

A Brenier Theorem on $(P_2 (...P_2(H)...), W_2 )$ and Applications to Adapted Transport
by: Beiglböck, Mathias, et al.
Published: (2025)

Convergence rate of Tsallis entropic regularized optimal transport
by: Suguro, Takeshi, et al.
Published: (2023)

Neural Hilbert Ladders: Multi-Layer Neural Networks in Function Space
by: Chen, Zhengdao
Published: (2023)

Error bounds for particle gradient descent, and extensions of the log-Sobolev and Talagrand inequalities
by: Caprio, Rocco, et al.
Published: (2024)

Wasserstein Contraction of Coordinate Ascent Variational Inference
by: Caprio, Rocco, et al.
Published: (2026)

Poincaré Inequality for Local Log-Polyak-Lojasiewicz Measures : Non-asymptotic Analysis in Low-temperature Regime
by: Gong, Yun, et al.
Published: (2025)

Intrinsic regularity in the discrete log-Sobolev inequality
by: Salez, Justin, et al.
Published: (2025)

Inclusion constants for free spectrahedra with applications to quantum incompatibility
by: Bluhm, Andreas, et al.
Published: (2025)

Bid--Ask Martingale Optimal Transport
by: Liang, Bryan, et al.
Published: (2026)

Admissibility theory in abstract Sobolev scales and transfer function growth at high frequencies
by: Paunonen, Lassi, et al.
Published: (2024)

Uniform-in-$N$ log-Sobolev inequality for the mean-field Langevin dynamics with convex energy
by: Chewi, Sinho, et al.
Published: (2024)

Stochastic convergence of a class of greedy-type algorithms for Configuration Optimization Problems
by: Nielen, Evie, et al.
Published: (2026)

ABB theorems: Results and limitations in infinite dimensions
by: Daniilidis, Aris, et al.
Published: (2024)

Optimal local linear convergence of Nesterov's accelerated gradient method for $C^2$ functions under the Polyak--Łojasiewicz inequality
by: Feng, Zixu, et al.
Published: (2026)

A Rod Flow Model for Adam at the Edge of Stability
by: Regis, Eric, et al.
Published: (2026)

Rod Flow: A Continuous-Time Model for Gradient Descent at the Edge of Stability
by: Regis, Eric, et al.
Published: (2026)

A limit theory for controlled McKean-Vlasov SPDEs
by: Criens, David
Published: (2023)

On the Convergence of the Gradient Descent Method with Stochastic Fixed-point Rounding Errors under the Polyak-Lojasiewicz Inequality
by: Xia, Lu, et al.
Published: (2023)

Understanding two-scale criteria for Poincaré and log-Sobolev inequalities in the Euclidean case through Φ-entropies
by: Srinivasan, Vishwak
Published: (2025)

The optimal hypercontractive constants for $\mathbb{Z}_3$ and biased Bernoulli random variables
by: Cao, Jie, et al.
Published: (2026)

On Optimal Markovian Couplings of Levy Processes
by: Kang, Wei Yang, et al.
Published: (2025)

Parametrized Families of Resolvent Compositions
by: Cornejo, Diego J.
Published: (2024)

Acceleration for Polyak-Łojasiewicz Functions with a Gradient Aiming Condition
by: Hermant, Julien
Published: (2026)

Remarks on the Polyak-Lojasiewicz inequality and the convergence of gradient systems
by: de Oliveira, Arthur Castello B., et al.
Published: (2025)

Well-posedness and mean-field limit estimate of a consensus-based algorithm for multiplayer games
by: Huang, Hui, et al.
Published: (2025)

A criterion on the free energy for log-Sobolev inequalities in mean-field particle systems
by: Bauerschmidt, R., et al.
Published: (2025)

Fixed Point Theory Analysis of a Lambda Policy Iteration with Randomization for the Ćirić Contraction Operator
by: Belhenniche, Abdelkader, et al.
Published: (2024)