Skip to content
DraconiticResearch
Search Sources API
197,761 studies31 sourcesUpdated 31 min ago
Peer-reviewedLicence not statedSIAM Journal on Mathematical Analysis

Uniform-in-N Log-Sobolev Inequality for the Mean-Field Langevin Dynamics with Convex Energy

  • Sinho Chewi1
  • Atsushi Nitanda2
  • Matthew S. Zhang3
  1. 1Department of Statistics and Data Science, Yale University, New Haven, CT 06511 USA
  2. 2Center for Frontier AI Research at Agency for Science, Technology, and Research (ASTAR), and College of Computing and Data Science at Nanyang Technological University, Singapore 639798
  3. 3Department of Computer Science, University of Toronto, Toronto, Ontario M5S 2E4, Canada, and Vector Institute, Toronto, Ontario M5G 1M1, Canada
Open at sourcePDFDOICite

Related

  1. Sharp uniform stability of the logarithmic Sobolev inequality on finite cycles and stability of the cubic Sobolev inequality
    Lu Chen, Nguyen Lam, Guozhen Lu
    arXivPreprintarXiv licenceFull textAnalysis & PDEsProbabilityarXiv
  2. Global Convergence of Third-Order Langevin Dynamics for Non-Convex Optimization via Simulated Annealing
    Yingli Wang, Lingjiong Zhu
    arXivPreprintCC BY 4.0Full textNumerical analysis & scientific computingOptimisation & controlarXiv
  3. Accelerated primal-dual dynamics and algorithms for convex optimization with nonlinear inequality constraints
    Xin He
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingOptimisation & controlarXiv
  4. On the Stability of Critical Points of the Hardy-Littlewood-Sobolev Inequality
    Kuan Liu, Qian Zhang, Wenming Zou
    Potential AnalysisPeer-reviewedLicence not statedFull text10 citedGeneral mathematicsOpenAlex
  5. A priori bounds for geodesic diameter. Part III. A Sobolev–Poincaré inequality and applications to a variety of geometric variational problems
    Ulrich Menne, Christian Scharrer
    Duke Mathematical JournalPeer-reviewedLicence not statedFull text11 citedGeneral mathematicsOpenAlex

Cite

BibTeXRIS
BibTeX
@article{chewi2026uniforminn,
  title = {{Uniform-in-\(N\) Log-Sobolev Inequality for the Mean-Field Langevin Dynamics with Convex Energy}},
  author = {Sinho Chewi and Atsushi Nitanda and Matthew S. Zhang},
  journal = {SIAM Journal on Mathematical Analysis},
  year = {2026},
  month = jul,
  doi = {10.1137/24m1696068},
  url = {http://arxiv.org/abs/2409.10440},
}
RIS
TY  - JOUR
TI  - Uniform-in-N Log-Sobolev Inequality for the Mean-Field Langevin Dynamics with Convex Energy
AU  - Sinho Chewi
AU  - Atsushi Nitanda
AU  - Matthew S. Zhang
PY  - 2026
DA  - 2026/07/23
JO  - SIAM Journal on Mathematical Analysis
DO  - 10.1137/24m1696068
UR  - http://arxiv.org/abs/2409.10440
SN  - 0036-1410
SN  - 1095-7154
ER  -