High-dimensional learning dynamics of multi-pass Stochastic Gradient Descent in multi-index models
Fuente:
arXiv
Saved in:
| Main Authors: | Fan, Zhou, Wang, Leda |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Smoothness of solutions of hyperbolic stochastic partial differential equations with $L^{\infty}$-vector fields
by: Bogso, Antoine-Marie, et al.
Published: (2022)
by: Bogso, Antoine-Marie, et al.
Published: (2022)
A central limit theorem for the stochastic cable equation
by: Nishino, Soma
Published: (2025)
by: Nishino, Soma
Published: (2025)
Paths of Stochastic Processes: a Sudden Turnaround
by: Schaback, Robert, et al.
Published: (2024)
by: Schaback, Robert, et al.
Published: (2024)
Stochastic Calculus as Operator Factorization An Operator-Covariant Derivative and Unified Representation
by: Fontes, Ramiro
Published: (2026)
by: Fontes, Ramiro
Published: (2026)
Wide stable neural networks: Sample regularity, functional convergence and Bayesian inverse problems
by: Soto, Tomás
Published: (2024)
by: Soto, Tomás
Published: (2024)
Large Spikes in Stochastic Gradient Descent: A Large-Deviations View
by: Gess, Benjamin, et al.
Published: (2026)
by: Gess, Benjamin, et al.
Published: (2026)
Biasing with an independent increment: Gaussian approximations and proximity of Poisson mixtures
by: Daly, Fraser
Published: (2025)
by: Daly, Fraser
Published: (2025)
Exponential dimensional dependence in high-dimensional Hermite method of moments
by: Basse-O'Connor, Andreas, et al.
Published: (2025)
by: Basse-O'Connor, Andreas, et al.
Published: (2025)
New bounds for normal approximation on product spaces with applications to monochromatic edges, random sums and an infinite de Jong CLT
by: Döbler, Christian
Published: (2024)
by: Döbler, Christian
Published: (2024)
On the prospective minimum of the random walk conditioned to stay non-negative
by: Vatutin, Vladimir, et al.
Published: (2024)
by: Vatutin, Vladimir, et al.
Published: (2024)
Non-parametric estimation of the reaction term in semi-linear SPDEs with spatial ergodicity
by: Gaudlitz, Sascha
Published: (2023)
by: Gaudlitz, Sascha
Published: (2023)
Central limit theorem for the Allen-Cahn equation with supercritical random initial conditions
by: Piernot, Colin, et al.
Published: (2026)
by: Piernot, Colin, et al.
Published: (2026)
Hölder regularity for a class of nonlinear stochastic heat equations
by: Surendranath, Sudheesh
Published: (2025)
by: Surendranath, Sudheesh
Published: (2025)
The genealogy of nearly critical branching processes in varying environment
by: Boenkost, Florin, et al.
Published: (2022)
by: Boenkost, Florin, et al.
Published: (2022)
The Distribution of Argmaximum or a Winner Problem
by: Davydov, Youri, et al.
Published: (2023)
by: Davydov, Youri, et al.
Published: (2023)
An Exponential Averaging Process with Strong Convergence Properties
by: Köhne, Frederik, et al.
Published: (2025)
by: Köhne, Frederik, et al.
Published: (2025)
Nonparametric Bayesian Inference for Stochastic Reaction-Diffusion Equations
by: Altmeyer, Randolf, et al.
Published: (2025)
by: Altmeyer, Randolf, et al.
Published: (2025)
Quantitative Error Bounds for Scaling Limits of Stochastic Iterative Algorithms
by: Wang, Xiaoyu, et al.
Published: (2025)
by: Wang, Xiaoyu, et al.
Published: (2025)
Feature Learning in Wide Neural Networks under $μ$P: Identifiability and Sparse-Dictionary Decomposition of the Mean-Field Limit
by: Xodarev, Akmal
Published: (2026)
by: Xodarev, Akmal
Published: (2026)
Limit theorems for compensated weighted sums and application to numerical approximations
by: Liu, Yanghui
Published: (2024)
by: Liu, Yanghui
Published: (2024)
Emergence of regularity for limit points of McKean-Vlasov particle systems
by: Crowell, Robert Alexander
Published: (2024)
by: Crowell, Robert Alexander
Published: (2024)
Quantitative Fluctuation Analysis for Continuous-Time Stochastic Gradient Descent via Malliavin Calculus
by: Bourguin, Solesne, et al.
Published: (2026)
by: Bourguin, Solesne, et al.
Published: (2026)
Stochastic Calculus for Rough Fractional Brownian Motion via Operator Factorization
by: Fontes, Ramiro
Published: (2026)
by: Fontes, Ramiro
Published: (2026)
Malliavin Calculus for the stochastic heat equation and results on the density
by: Farazakis, D., et al.
Published: (2024)
by: Farazakis, D., et al.
Published: (2024)
Markov properties of Gaussian random fields on compact metric graphs
by: Bolin, David, et al.
Published: (2023)
by: Bolin, David, et al.
Published: (2023)
From Cannings model to Brownian motion conditioned on local time profile
by: Li, Xiaodan, et al.
Published: (2025)
by: Li, Xiaodan, et al.
Published: (2025)
Stochastic Burgers equation driven by multiplicative Rosenblatt noise: local existence, uniqueness and regularity
by: Lechiheb, Atef
Published: (2026)
by: Lechiheb, Atef
Published: (2026)
Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions
by: Gubinelli, Massimiliano, et al.
Published: (2023)
by: Gubinelli, Massimiliano, et al.
Published: (2023)
Many-Server Queueing Systems with Heterogeneous Strategic Servers in Heavy Traffic
by: Büke, Burak, et al.
Published: (2022)
by: Büke, Burak, et al.
Published: (2022)
Fluid limits for interacting queues in sparse dynamic graphs
by: Goldsztajn, Diego, et al.
Published: (2023)
by: Goldsztajn, Diego, et al.
Published: (2023)
Quantitative bounds for high-dimensional non-linear functionals of Gaussian processes
by: Basse-O'Connor, Andreas, et al.
Published: (2025)
by: Basse-O'Connor, Andreas, et al.
Published: (2025)
An Additive-Noise Approximation to Keller-Segel-Dean-Kawasaki Dynamics: Small-Noise Results
by: Martini, Adrian, et al.
Published: (2024)
by: Martini, Adrian, et al.
Published: (2024)
Multivariate Second-Order $p$-Poincaré Inequalities
by: Trauthwein, Tara
Published: (2024)
by: Trauthwein, Tara
Published: (2024)
Large deviations for a spatial average of stochastic heat and wave equations
by: Ebina, Masahisa
Published: (2024)
by: Ebina, Masahisa
Published: (2024)
Stochastic Calculus via Stopping Derivatives
by: Simpson, Alex
Published: (2025)
by: Simpson, Alex
Published: (2025)
On the positivity of the density of stochastic delay differential equations driven by a fractional Brownian motion
by: Burés, Òscar, et al.
Published: (2024)
by: Burés, Òscar, et al.
Published: (2024)
Exponential bounds for the density of the law of the solution of a SDE with locally Lipschitz coefficients
by: Anton, Cristina
Published: (2024)
by: Anton, Cristina
Published: (2024)
A Rough Functional Breuer-Major Theorem
by: Altman, Henri Elad, et al.
Published: (2026)
by: Altman, Henri Elad, et al.
Published: (2026)
Maximal Inequalities for Empirical Processes under General Mixing Conditions
by: Pouzo, Demian
Published: (2024)
by: Pouzo, Demian
Published: (2024)
Central limit theorems for nonlinear stochastic wave equations in dimension three
by: Ebina, Masahisa
Published: (2022)
by: Ebina, Masahisa
Published: (2022)
Similar Items
-
Smoothness of solutions of hyperbolic stochastic partial differential equations with $L^{\infty}$-vector fields
by: Bogso, Antoine-Marie, et al.
Published: (2022) -
A central limit theorem for the stochastic cable equation
by: Nishino, Soma
Published: (2025) -
Paths of Stochastic Processes: a Sudden Turnaround
by: Schaback, Robert, et al.
Published: (2024) -
Stochastic Calculus as Operator Factorization An Operator-Covariant Derivative and Unified Representation
by: Fontes, Ramiro
Published: (2026) -
Wide stable neural networks: Sample regularity, functional convergence and Bayesian inverse problems
by: Soto, Tomás
Published: (2024)