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We present a new algorithm for imitation learning in infinite horizon linear MDPs dubbed ILARL which greatly improves the bound on the number of trajectories that the learner needs to sample from the environment. In particular, we remove…

Machine Learning · Computer Science 2024-08-26 Luca Viano , Stratis Skoulakis , Volkan Cevher

As a prominent category of imitation learning methods, adversarial imitation learning (AIL) has garnered significant practical success powered by neural network approximation. However, existing theoretical studies on AIL are primarily…

Machine Learning · Computer Science 2024-11-04 Tian Xu , Zhilong Zhang , Ruishuo Chen , Yihao Sun , Yang Yu

This work proposes a general learned proximal alternating minimization algorithm, LPAM, for solving learnable two-block nonsmooth and nonconvex optimization problems. We tackle the nonsmoothness by an appropriate smoothing technique with…

Optimization and Control · Mathematics 2026-03-10 Yunmei Chen , Lezhi Liu , Lei Zhang

Model training algorithms which observe a small portion of the training set in each computational step are ubiquitous in practical machine learning, and include both stochastic and online optimization methods. In the vast majority of cases,…

Machine Learning · Computer Science 2024-06-19 Alex Shtoff

Adversarial imitation learning (AIL), a prominent approach in imitation learning, has achieved significant practical success powered by neural network approximation. However, existing theoretical analyses of AIL are primarily confined to…

Machine Learning · Computer Science 2026-05-05 Tian Xu , Zhilong Zhang , Zexuan Chen , Ruishuo Chen , Yihao Sun , Yang Yu

In offline imitation learning (IL), we generally assume only a handful of expert trajectories and a supplementary offline dataset from suboptimal behaviors to learn the expert policy. While it is now common to minimize the divergence…

Machine Learning · Computer Science 2024-01-19 Hee-Jun Ahn , Seong-Woong Shim , Byung-Jun Lee

Online imitation learning is the problem of how best to mimic expert demonstrations, given access to the environment or an accurate simulator. Prior work has shown that in the infinite sample regime, exact moment matching achieves value…

Online imitation learning (IL) is an algorithmic framework that leverages interactions with expert policies for efficient policy optimization. Here policies are optimized by performing online learning on a sequence of loss functions that…

Machine Learning · Computer Science 2021-02-23 Xinyan Yan , Byron Boots , Ching-An Cheng

Offline Reinforcement Learning (RL) aims to learn a near-optimal policy from a fixed dataset of transitions collected by another policy. This problem has attracted a lot of attention recently, but most existing methods with strong…

Machine Learning · Computer Science 2023-05-23 Germano Gabbianelli , Gergely Neu , Nneka Okolo , Matteo Papini

This paper proposes a primal-dual framework to learn a stable estimator for linear constrained estimation problems leveraging the moving horizon approach. To avoid the online computational burden in most existing methods, we learn a…

Systems and Control · Electrical Eng. & Systems 2022-04-07 Wenhan Cao , Jingliang Duan , Shengbo Eben Li , Chen Chen , Chang Liu , Yu Wang

In this paper we combine an infeasible Interior Point Method (IPM) with the Proximal Method of Multipliers (PMM). The resulting algorithm (IP-PMM) is interpreted as a primal-dual regularized IPM, suitable for solving linearly constrained…

Optimization and Control · Mathematics 2021-02-01 Spyridon Pougkakiotis , Jacek Gondzio

In online continual learning, a neural network incrementally learns from a non-i.i.d. data stream. Nearly all online continual learning methods employ experience replay to simultaneously prevent catastrophic forgetting and underfitting on…

Machine Learning · Computer Science 2024-07-22 Jason Yoo , Yunpeng Liu , Frank Wood , Geoff Pleiss

Interior point methods (IPMs) are a common approach for solving linear programs (LPs) with strong theoretical guarantees and solid empirical performance. The time complexity of these methods is dominated by the cost of solving a linear…

Optimization and Control · Mathematics 2022-02-04 Gregory Dexter , Agniva Chowdhury , Haim Avron , Petros Drineas

We propose a new modified primal-dual proximal best approximation method for solving convex not necessarily differentiable optimization problems. The novelty of the method relies on introducing memory by taking into account iterates…

Optimization and Control · Mathematics 2018-04-18 Ewa M. Bednarczuk , Anna Jezierska , Krzysztof E. Rutkowski

In many practical applications of constrained optimization, scale and solving time limits make traditional optimization solvers prohibitively slow. Thus, the research question of how to design optimization proxies -- machine learning models…

Machine Learning · Computer Science 2025-02-14 Michael Klamkin , Mathieu Tanneau , Pascal Van Hentenryck

In this paper we present a novel numerical method for computing local minimizers of twice smooth differentiable non-linear programming (NLP) problems. So far all algorithms for NLP are based on either of the following three principles:…

Numerical Analysis · Mathematics 2018-03-06 Martin Neuenhofen

Minimax optimization has become a central tool in machine learning with applications in robust optimization, reinforcement learning, GANs, etc. These applications are often nonconvex-nonconcave, but the existing theory is unable to identify…

Optimization and Control · Mathematics 2021-04-02 Benjamin Grimmer , Haihao Lu , Pratik Worah , Vahab Mirrokni

Imitation Learning (IL) is an effective learning paradigm exploiting the interactions between agents and environments. It does not require explicit reward signals and instead tries to recover desired policies using expert demonstrations. In…

Machine Learning · Computer Science 2021-12-14 Yang Liu , Yongzhe Chang , Shilei Jiang , Xueqian Wang , Bin Liang , Bo Yuan

We consider the problem of Imitation Learning (IL) by actively querying noisy expert for feedback. While imitation learning has been empirically successful, much of prior work assumes access to noiseless expert feedback which is not…

Machine Learning · Computer Science 2023-07-12 Ayush Sekhari , Karthik Sridharan , Wen Sun , Runzhe Wu

Imitation learning (IL) aims to mimic the behavior of an expert policy in a sequential decision-making problem given only demonstrations. In this paper, we focus on understanding the minimax statistical limits of IL in episodic Markov…

Machine Learning · Computer Science 2020-09-15 Nived Rajaraman , Lin F. Yang , Jiantao Jiao , Kannan Ramachandran
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