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Non-convex learning via Stochastic Gradient Langevin Dynamics: a
  nonasymptotic analysis

Non-convex learning via Stochastic Gradient Langevin Dynamics: a nonasymptotic analysis

13 February 2017
Maxim Raginsky
Alexander Rakhlin
Matus Telgarsky
ArXivPDFHTML

Papers citing "Non-convex learning via Stochastic Gradient Langevin Dynamics: a nonasymptotic analysis"

50 / 114 papers shown
Title
Operator-Level Quantum Acceleration of Non-Logconcave Sampling
Operator-Level Quantum Acceleration of Non-Logconcave Sampling
Jiaqi Leng
Zhiyan Ding
Zherui Chen
Lin Lin
62
0
0
08 May 2025
Langevin Multiplicative Weights Update with Applications in Polynomial Portfolio Management
Langevin Multiplicative Weights Update with Applications in Polynomial Portfolio Management
Yi-Hu Feng
Tianlin Li
Tian Xie
62
0
0
26 Feb 2025
Understanding the Generalization Error of Markov algorithms through Poissonization
Understanding the Generalization Error of Markov algorithms through Poissonization
Benjamin Dupuis
Maxime Haddouche
George Deligiannidis
Umut Simsekli
47
0
0
11 Feb 2025
Random Reshuffling for Stochastic Gradient Langevin Dynamics
Luke Shaw
Peter A. Whalley
93
3
0
28 Jan 2025
Provable Accuracy Bounds for Hybrid Dynamical Optimization and Sampling
Provable Accuracy Bounds for Hybrid Dynamical Optimization and Sampling
Matthew Burns
Qingyuan Hou
Michael Huang
137
1
0
08 Oct 2024
Uniform Generalization Bounds on Data-Dependent Hypothesis Sets via PAC-Bayesian Theory on Random Sets
Uniform Generalization Bounds on Data-Dependent Hypothesis Sets via PAC-Bayesian Theory on Random Sets
Benjamin Dupuis
Paul Viallard
George Deligiannidis
Umut Simsekli
42
2
0
26 Apr 2024
Information-Theoretic Generalization Bounds for Deep Neural Networks
Information-Theoretic Generalization Bounds for Deep Neural Networks
Haiyun He
Christina Lee Yu
35
4
0
04 Apr 2024
Privacy of SGD under Gaussian or Heavy-Tailed Noise: Guarantees without Gradient Clipping
Privacy of SGD under Gaussian or Heavy-Tailed Noise: Guarantees without Gradient Clipping
Umut Simsekli
Mert Gurbuzbalaban
S. Yıldırım
Lingjiong Zhu
38
2
0
04 Mar 2024
Stable Neural Stochastic Differential Equations in Analyzing Irregular
  Time Series Data
Stable Neural Stochastic Differential Equations in Analyzing Irregular Time Series Data
YongKyung Oh
Dongyoung Lim
Sungil Kim
AI4TS
43
12
0
22 Feb 2024
The Expected Loss of Preconditioned Langevin Dynamics Reveals the
  Hessian Rank
The Expected Loss of Preconditioned Langevin Dynamics Reveals the Hessian Rank
Amitay Bar
Rotem Mulayoff
T. Michaeli
Ronen Talmon
64
0
0
21 Feb 2024
Leveraging PAC-Bayes Theory and Gibbs Distributions for Generalization
  Bounds with Complexity Measures
Leveraging PAC-Bayes Theory and Gibbs Distributions for Generalization Bounds with Complexity Measures
Paul Viallard
Rémi Emonet
Amaury Habrard
Emilie Morvant
Valentina Zantedeschi
39
3
0
19 Feb 2024
Convex SGD: Generalization Without Early Stopping
Convex SGD: Generalization Without Early Stopping
Julien Hendrickx
A. Olshevsky
MLT
LRM
25
1
0
08 Jan 2024
Generalization Bounds for Label Noise Stochastic Gradient Descent
Generalization Bounds for Label Noise Stochastic Gradient Descent
Jung Eun Huh
Patrick Rebeschini
13
1
0
01 Nov 2023
Gibbs-Based Information Criteria and the Over-Parameterized Regime
Gibbs-Based Information Criteria and the Over-Parameterized Regime
Haobo Chen
Yuheng Bu
Greg Wornell
27
1
0
08 Jun 2023
Deep Stochastic Mechanics
Deep Stochastic Mechanics
Elena Orlova
Aleksei Ustimenko
Ruoxi Jiang
Peter Y. Lu
Rebecca Willett
DiffM
43
0
0
31 May 2023
Provably Fast Finite Particle Variants of SVGD via Virtual Particle
  Stochastic Approximation
Provably Fast Finite Particle Variants of SVGD via Virtual Particle Stochastic Approximation
Aniket Das
Dheeraj M. Nagaraj
35
7
0
27 May 2023
Uniform-in-Time Wasserstein Stability Bounds for (Noisy) Stochastic
  Gradient Descent
Uniform-in-Time Wasserstein Stability Bounds for (Noisy) Stochastic Gradient Descent
Lingjiong Zhu
Mert Gurbuzbalaban
Anant Raj
Umut Simsekli
31
6
0
20 May 2023
Efficient Sampling of Stochastic Differential Equations with Positive
  Semi-Definite Models
Efficient Sampling of Stochastic Differential Equations with Positive Semi-Definite Models
Anant Raj
Umut Simsekli
Alessandro Rudi
DiffM
31
1
0
30 Mar 2023
Interacting Particle Langevin Algorithm for Maximum Marginal Likelihood Estimation
Interacting Particle Langevin Algorithm for Maximum Marginal Likelihood Estimation
Ö. Deniz Akyildiz
F. R. Crucinio
Mark Girolami
Tim Johnston
Sotirios Sabanis
32
11
0
23 Mar 2023
Non-asymptotic analysis of Langevin-type Monte Carlo algorithms
Non-asymptotic analysis of Langevin-type Monte Carlo algorithms
Shogo H. Nakakita
19
0
0
22 Mar 2023
ELF: Federated Langevin Algorithms with Primal, Dual and Bidirectional
  Compression
ELF: Federated Langevin Algorithms with Primal, Dual and Bidirectional Compression
Avetik G. Karagulyan
Peter Richtárik
FedML
31
6
0
08 Mar 2023
Revisiting the Noise Model of Stochastic Gradient Descent
Revisiting the Noise Model of Stochastic Gradient Descent
Barak Battash
Ofir Lindenbaum
27
9
0
05 Mar 2023
Tighter Information-Theoretic Generalization Bounds from Supersamples
Tighter Information-Theoretic Generalization Bounds from Supersamples
Ziqiao Wang
Yongyi Mao
32
17
0
05 Feb 2023
Non-convex sampling for a mixture of locally smooth potentials
Non-convex sampling for a mixture of locally smooth potentials
D. Nguyen
33
0
0
31 Jan 2023
STEERING: Stein Information Directed Exploration for Model-Based
  Reinforcement Learning
STEERING: Stein Information Directed Exploration for Model-Based Reinforcement Learning
Souradip Chakraborty
Amrit Singh Bedi
Alec Koppel
Mengdi Wang
Furong Huang
Dinesh Manocha
24
7
0
28 Jan 2023
Algorithmic Stability of Heavy-Tailed SGD with General Loss Functions
Algorithmic Stability of Heavy-Tailed SGD with General Loss Functions
Anant Raj
Lingjiong Zhu
Mert Gurbuzbalaban
Umut Simsekli
28
15
0
27 Jan 2023
Kinetic Langevin MCMC Sampling Without Gradient Lipschitz Continuity --
  the Strongly Convex Case
Kinetic Langevin MCMC Sampling Without Gradient Lipschitz Continuity -- the Strongly Convex Case
Tim Johnston
Iosif Lytras
Sotirios Sabanis
38
8
0
19 Jan 2023
Stochastic Langevin Monte Carlo for (weakly) log-concave posterior
  distributions
Stochastic Langevin Monte Carlo for (weakly) log-concave posterior distributions
Marelys Crespo Navas
S. Gadat
X. Gendre
26
0
0
08 Jan 2023
Fast Replica Exchange Stochastic Gradient Langevin Dynamics
Fast Replica Exchange Stochastic Gradient Langevin Dynamics
Guanxun Li
Guang Lin
Zecheng Zhang
Quan Zhou
138
4
0
05 Jan 2023
Non-reversible Parallel Tempering for Deep Posterior Approximation
Non-reversible Parallel Tempering for Deep Posterior Approximation
Wei Deng
Qian Zhang
Qi Feng
F. Liang
Guang Lin
20
4
0
20 Nov 2022
Two Facets of SDE Under an Information-Theoretic Lens: Generalization of
  SGD via Training Trajectories and via Terminal States
Two Facets of SDE Under an Information-Theoretic Lens: Generalization of SGD via Training Trajectories and via Terminal States
Ziqiao Wang
Yongyi Mao
27
10
0
19 Nov 2022
Data-Adaptive Discriminative Feature Localization with Statistically
  Guaranteed Interpretation
Data-Adaptive Discriminative Feature Localization with Statistically Guaranteed Interpretation
Ben Dai
Xiaotong Shen
Lingzhi Chen
Chunlin Li
Wei Pan
FAtt
18
1
0
18 Nov 2022
A Dynamical System View of Langevin-Based Non-Convex Sampling
A Dynamical System View of Langevin-Based Non-Convex Sampling
Mohammad Reza Karimi
Ya-Ping Hsieh
Andreas Krause
40
4
0
25 Oct 2022
Global Convergence of SGD On Two Layer Neural Nets
Global Convergence of SGD On Two Layer Neural Nets
Pulkit Gopalani
Anirbit Mukherjee
26
5
0
20 Oct 2022
Resolving the Mixing Time of the Langevin Algorithm to its Stationary
  Distribution for Log-Concave Sampling
Resolving the Mixing Time of the Langevin Algorithm to its Stationary Distribution for Log-Concave Sampling
Jason M. Altschuler
Kunal Talwar
35
24
0
16 Oct 2022
Over-the-Air Split Machine Learning in Wireless MIMO Networks
Over-the-Air Split Machine Learning in Wireless MIMO Networks
YuZhi Yang
Zhaoyang Zhang
Yuqing Tian
Zhaohui Yang
Chongwen Huang
C. Zhong
Kai‐Kit Wong
26
23
0
07 Oct 2022
Tradeoffs between convergence rate and noise amplification for
  momentum-based accelerated optimization algorithms
Tradeoffs between convergence rate and noise amplification for momentum-based accelerated optimization algorithms
Hesameddin Mohammadi
Meisam Razaviyayn
Mihailo R. Jovanović
15
7
0
24 Sep 2022
Generalisation under gradient descent via deterministic PAC-Bayes
Generalisation under gradient descent via deterministic PAC-Bayes
Eugenio Clerico
Tyler Farghly
George Deligiannidis
Benjamin Guedj
Arnaud Doucet
31
4
0
06 Sep 2022
A sharp uniform-in-time error estimate for Stochastic Gradient Langevin Dynamics
A sharp uniform-in-time error estimate for Stochastic Gradient Langevin Dynamics
Lei Li
Yuliang Wang
39
11
0
19 Jul 2022
Score-Guided Intermediate Layer Optimization: Fast Langevin Mixing for
  Inverse Problems
Score-Guided Intermediate Layer Optimization: Fast Langevin Mixing for Inverse Problems
Giannis Daras
Y. Dagan
A. Dimakis
C. Daskalakis
BDL
31
15
0
18 Jun 2022
Benefits of Additive Noise in Composing Classes with Bounded Capacity
Benefits of Additive Noise in Composing Classes with Bounded Capacity
A. F. Pour
H. Ashtiani
30
3
0
14 Jun 2022
High-dimensional limit theorems for SGD: Effective dynamics and critical
  scaling
High-dimensional limit theorems for SGD: Effective dynamics and critical scaling
Gerard Ben Arous
Reza Gheissari
Aukosh Jagannath
56
58
0
08 Jun 2022
Utilising the CLT Structure in Stochastic Gradient based Sampling :
  Improved Analysis and Faster Algorithms
Utilising the CLT Structure in Stochastic Gradient based Sampling : Improved Analysis and Faster Algorithms
Aniket Das
Dheeraj M. Nagaraj
Anant Raj
54
6
0
08 Jun 2022
Convergence of Stein Variational Gradient Descent under a Weaker
  Smoothness Condition
Convergence of Stein Variational Gradient Descent under a Weaker Smoothness Condition
Lukang Sun
Avetik G. Karagulyan
Peter Richtárik
26
19
0
01 Jun 2022
Uniform Generalization Bound on Time and Inverse Temperature for
  Gradient Descent Algorithm and its Application to Analysis of Simulated
  Annealing
Uniform Generalization Bound on Time and Inverse Temperature for Gradient Descent Algorithm and its Application to Analysis of Simulated Annealing
Keisuke Suzuki
AI4CE
30
0
0
25 May 2022
Weak Convergence of Approximate reflection coupling and its Application
  to Non-convex Optimization
Weak Convergence of Approximate reflection coupling and its Application to Non-convex Optimization
Keisuke Suzuki
25
5
0
24 May 2022
Decentralized Stochastic Optimization with Inherent Privacy Protection
Decentralized Stochastic Optimization with Inherent Privacy Protection
Yongqiang Wang
H. Vincent Poor
24
37
0
08 May 2022
An Empirical Study of the Occurrence of Heavy-Tails in Training a ReLU
  Gate
An Empirical Study of the Occurrence of Heavy-Tails in Training a ReLU Gate
Sayar Karmakar
Anirbit Mukherjee
18
0
0
26 Apr 2022
Sharper Utility Bounds for Differentially Private Models
Sharper Utility Bounds for Differentially Private Models
Yilin Kang
Yong Liu
Jian Li
Weiping Wang
FedML
29
3
0
22 Apr 2022
A Proximal Algorithm for Sampling
A Proximal Algorithm for Sampling
Jiaming Liang
Yongxin Chen
22
17
0
28 Feb 2022
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