Search Results for author: Xuxing Chen

Found 6 papers, 1 papers with code

From Stability to Chaos: Analyzing Gradient Descent Dynamics in Quadratic Regression

no code implementations2 Oct 2023 Xuxing Chen, Krishnakumar Balasubramanian, Promit Ghosal, Bhavya Agrawalla

We conduct a comprehensive investigation into the dynamics of gradient descent using large-order constant step-sizes in the context of quadratic regression models.

regression Retrieval

Stochastic Nested Compositional Bi-level Optimization for Robust Feature Learning

no code implementations11 Jul 2023 Xuxing Chen, Krishnakumar Balasubramanian, Saeed Ghadimi

We develop and analyze stochastic approximation algorithms for solving nested compositional bi-level optimization problems.

Optimal Algorithms for Stochastic Bilevel Optimization under Relaxed Smoothness Conditions

no code implementations21 Jun 2023 Xuxing Chen, Tesi Xiao, Krishnakumar Balasubramanian

In this paper, we introduce a novel fully single-loop and Hessian-inversion-free algorithmic framework for stochastic bilevel optimization and present a tighter analysis under standard smoothness assumptions (first-order Lipschitzness of the UL function and second-order Lipschitzness of the LL function).

Bilevel Optimization

A One-Sample Decentralized Proximal Algorithm for Non-Convex Stochastic Composite Optimization

1 code implementation20 Feb 2023 Tesi Xiao, Xuxing Chen, Krishnakumar Balasubramanian, Saeed Ghadimi

We focus on decentralized stochastic non-convex optimization, where $n$ agents work together to optimize a composite objective function which is a sum of a smooth term and a non-smooth convex term.

Decentralized Stochastic Bilevel Optimization with Improved per-Iteration Complexity

no code implementations23 Oct 2022 Xuxing Chen, Minhui Huang, Shiqian Ma, Krishnakumar Balasubramanian

Bilevel optimization recently has received tremendous attention due to its great success in solving important machine learning problems like meta learning, reinforcement learning, and hyperparameter optimization.

Bilevel Optimization Hyperparameter Optimization +2

Efficiently Escaping Saddle Points in Bilevel Optimization

no code implementations8 Feb 2022 Minhui Huang, Xuxing Chen, Kaiyi Ji, Shiqian Ma, Lifeng Lai

Moreover, we propose an inexact NEgative-curvature-Originated-from-Noise Algorithm (iNEON), a pure first-order algorithm that can escape saddle point and find local minimum of stochastic bilevel optimization.

Bilevel Optimization

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