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20182023
most citedCharacterizing Implicit Bias in Terms of Optimization Geometry

168 citations · 361 across the 47 of their papers we have counts for

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Showing 2023Show all

18 papers · 1 filter

cs.LG2023★ 8 cited

Teaching Arithmetic to Small Transformers

Nayoung Lee, Kartik Sreenivasan, Jason D. Lee +2

Large language models like GPT-4 exhibit emergent capabilities across general-purpose tasks, such as basic arithmetic, when trained on extensive text data, even though these tasks…

cs.LG2023

Settling the Sample Complexity of Online Reinforcement Learning

Zihan Zhang, Yuxin Chen, Jason D. Lee +1

A central issue lying at the heart of online reinforcement learning (RL) is data efficiency. While a number of recent works achieved asymptotically minimal regret in online RL, the…

cs.LG2023

Sample Complexity for Quadratic Bandits: Hessian Dependent Bounds and Optimal Algorithms

Qian Yu, Yining Wang, Baihe Huang +2

In stochastic zeroth-order optimization, a problem of practical relevance is understanding how to fully exploit the local geometry of the underlying objective function. We consider…

cs.LG2023★ 2 cited

Smoothing the Landscape Boosts the Signal for SGD: Optimal Sample Complexity for Learning Single Index Models

Alex Damian, Eshaan Nichani, Rong Ge +1

We focus on the task of learning a single index model with respect to the isotropic Gaussian distribution in dimensions. Prior work has shown that the samp…

cs.LG2023★ 3 cited

Reward-agnostic Fine-tuning: Provable Statistical Benefits of Hybrid Reinforcement Learning

Gen Li, Wenhao Zhan, Jason D. Lee +2

This paper studies tabular reinforcement learning (RL) in the hybrid setting, which assumes access to both an offline dataset and online interactions with the unknown environment.…

cs.LG2023★ 2 cited

Local Optimization Achieves Global Optimality in Multi-Agent Reinforcement Learning

Yulai Zhao, Zhuoran Yang, Zhaoran Wang +1

Policy optimization methods with function approximation are widely used in multi-agent reinforcement learning. However, it remains elusive how to design such algorithms with statis…

cs.LG2023

Solving Robust MDPs through No-Regret Dynamics

Etash Kumar Guha

Reinforcement Learning is a powerful framework for training agents to navigate different situations, but it is susceptible to changes in environmental dynamics. However, solving Ma…

cs.LG2023

Provable Reward-Agnostic Preference-Based Reinforcement Learning

Wenhao Zhan, Masatoshi Uehara, Wen Sun +1

Preference-based Reinforcement Learning (PbRL) is a paradigm in which an RL agent learns to optimize a task using pair-wise preference-based feedback over trajectories, rather than…

cs.LG2023

Reward Collapse in Aligning Large Language Models

Ziang Song, Tianle Cai, Jason D. Lee +1

The extraordinary capabilities of large language models (LLMs) such as ChatGPT and GPT-4 are in part unleashed by aligning them with reward models that are trained on human prefere…

cs.LG2023★ 36 cited

Fine-Tuning Language Models with Just Forward Passes

Sadhika Malladi, Tianyu Gao, Eshaan Nichani +4

Fine-tuning language models (LMs) has yielded success on diverse downstream tasks, but as LMs grow in size, backpropagation requires a prohibitively large amount of memory. Zeroth-…

cs.LG2023

Provable Offline Preference-Based Reinforcement Learning

Wenhao Zhan, Masatoshi Uehara, Nathan Kallus +2

In this paper, we investigate the problem of offline Preference-based Reinforcement Learning (PbRL) with human feedback where feedback is available in the form of preference betwee…

cs.LG2023★ 2 cited

Implicit Bias of Gradient Descent for Logistic Regression at the Edge of Stability

Jingfeng Wu, Vladimir Braverman, Jason D. Lee

Recent research has observed that in machine learning optimization, gradient descent (GD) often operates at the edge of stability (EoS) [Cohen, et al., 2021], where the stepsizes a…

cs.LG2023★ 3 cited

Provable Guarantees for Nonlinear Feature Learning in Three-Layer Neural Networks

Eshaan Nichani, Alex Damian, Jason D. Lee

One of the central questions in the theory of deep learning is to understand how neural networks learn hierarchical features. The ability of deep networks to extract salient featur…

cs.GT2023

Can We Find Nash Equilibria at a Linear Rate in Markov Games?

Zhuoqing Song, Jason D. Lee, Zhuoran Yang

We study decentralized learning in two-player zero-sum discounted Markov games where the goal is to design a policy optimization algorithm for either agent satisfying two propertie…

cs.LG2023

Provably Efficient Reinforcement Learning via Surprise Bound

Hanlin Zhu, Ruosong Wang, Jason D. Lee

Value function approximation is important in modern reinforcement learning (RL) problems especially when the state space is (infinitely) large. Despite the importance and wide appl…

cs.LG2023

Offline Minimax Soft-Q-learning Under Realizability and Partial Coverage

Masatoshi Uehara, Nathan Kallus, Jason D. Lee +1

In offline reinforcement learning (RL) we have no opportunity to explore so we must make assumptions that the data is sufficient to guide picking a good policy, taking the form of…

cs.LG2023★ 3 cited

Looped Transformers as Programmable Computers

Angeliki Giannou, Shashank Rajput, Jy-yong Sohn +3

We present a framework for using transformer networks as universal computers by programming them with specific weights and placing them in a loop. Our input sequence acts as a punc…

cs.LG2023★ 1 cited

Understanding Incremental Learning of Gradient Descent: A Fine-grained Analysis of Matrix Sensing

Jikai Jin, Zhiyuan Li, Kaifeng Lyu +2

It is believed that Gradient Descent (GD) induces an implicit bias towards good generalization in training machine learning models. This paper provides a fine-grained analysis of t…