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Many algorithms in verification and automated reasoning leverage some form of duality between proofs and refutations or counterexamples. In most cases, duality is only used as an intuition that helps in understanding the algorithms and is…

Programming Languages · Computer Science 2025-01-06 Takeshi Tsukada , Hiroshi Unno , Oded Padon , Sharon Shoham

We study the problem of computing an optimal large language model (LLM) policy for the constrained alignment problem, where the goal is to maximize a primary reward objective while satisfying constraints on secondary utilities. Despite the…

Machine Learning · Computer Science 2025-11-27 Botong Zhang , Shuo Li , Ignacio Hounie , Osbert Bastani , Dongsheng Ding , Alejandro Ribeiro

A tenet of reinforcement learning is that the agent always observes rewards. However, this is not true in many realistic settings, e.g., a human observer may not always be available to provide rewards, sensors may be limited or…

Machine Learning · Computer Science 2026-03-24 Alireza Kazemipour , Simone Parisi , Matthew E. Taylor , Michael Bowling

One of the challenges of aligning large models with human preferences lies in both the data requirements and the technical complexities of current approaches. Predominant methods, such as RLHF, involve multiple steps, each demanding…

Machine Learning · Computer Science 2025-03-19 Siliang Zeng , Yao Liu , Huzefa Rangwala , George Karypis , Mingyi Hong , Rasool Fakoor

In this paper, we design an inertial accelerated primal-dual algorithm to address the convex-concave saddle point problem, which is formulated as $\min_{x}\max_{y} f(x) + \langle Kx, y \rangle - g(y)$. Remarkably, both functions $f$ and $g$…

Optimization and Control · Mathematics 2024-04-17 X. He , N. J. Huang , Y. P. Fang

Primal-dual methods in online optimization give several of the state-of-the art results in both of the most common models: adversarial and stochastic/random order. Here we try to provide a more unified analysis of primal-dual algorithms to…

Data Structures and Algorithms · Computer Science 2020-11-04 Marco Molinaro

We fix a fundamental issue in the stochastic extragradient method by providing a new sampling strategy that is motivated by approximating implicit updates. Since the existing stochastic extragradient algorithm, called Mirror-Prox, of…

Optimization and Control · Mathematics 2021-02-22 Konstantin Mishchenko , Dmitry Kovalev , Egor Shulgin , Peter Richtárik , Yura Malitsky

While the techniques in optimal control theory are often model-based, the policy optimization (PO) approach directly optimizes the performance metric of interest. Even though it has been an essential approach for reinforcement learning…

Optimization and Control · Mathematics 2022-11-23 Feiran Zhao , Keyou You , Tamer Başar

Learning from expert demonstrations to flexibly program an autonomous system with complex behaviors or to predict an agent's behavior is a powerful tool, especially in collaborative control settings. A common method to solve this problem is…

Systems and Control · Electrical Eng. & Systems 2024-05-15 Samuel Tesfazgi , Leonhard Sprandl , Armin Lederer , Sandra Hirche

Inverse reinforcement learning (IRL) infers a reward function from demonstrations, allowing for policy improvement and generalization. However, despite much recent interest in IRL, little work has been done to understand the minimum set of…

Machine Learning · Computer Science 2019-08-19 Daniel S. Brown , Scott Niekum

Inverse reinforcement learning (IRL) for linear systems seeks a cost function whose optimal controller reproduces an expert policy from data. Existing data-driven methods for discrete-time linear systems are largely built on iterative…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Duc Cuong Nguyen , Phuong Nam Dao

As a paradigm for sequential decision making in unknown environments, reinforcement learning (RL) has received a flurry of attention in recent years. However, the explosion of model complexity in emerging applications and the presence of…

Machine Learning · Statistics 2025-07-22 Yuejie Chi , Yuxin Chen , Yuting Wei

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

Scaling model-based inverse reinforcement learning (IRL) to real robotic manipulation tasks with unknown dynamics remains an open problem. The key challenges lie in learning good dynamics models, developing algorithms that scale to…

Robotics · Computer Science 2023-03-08 Neha Das , Sarah Bechtle , Todor Davchev , Dinesh Jayaraman , Akshara Rai , Franziska Meier

We introduce the framework of performative reinforcement learning where the policy chosen by the learner affects the underlying reward and transition dynamics of the environment. Following the recent literature on performative…

Machine Learning · Computer Science 2023-06-08 Debmalya Mandal , Stelios Triantafyllou , Goran Radanovic

We develop stochastic first-order primal-dual algorithms to solve a class of convex-concave saddle-point problems. When the saddle function is strongly convex in the primal variable, we develop the first stochastic restart scheme for this…

Optimization and Control · Mathematics 2021-04-13 Renbo Zhao

The goal of this paper is to study a distributed version of the gradient temporal-difference (GTD) learning algorithm for multi-agent Markov decision processes (MDPs). The temporal difference (TD) learning is a reinforcement learning (RL)…

Optimization and Control · Mathematics 2018-08-23 Donghwan Lee , Hyungjin Yoon , Naira Hovakimyan

Nonconvex optimization problems such as the ones in training deep neural networks suffer from a phenomenon called saddle point proliferation. This means that there are a vast number of high error saddle points present in the loss function.…

Numerical Analysis · Computer Science 2016-11-08 Martin Arjovsky

Learning from Demonstration (LfD) seeks to democratize robotics by enabling non-roboticist end-users to teach robots to perform a task by providing a human demonstration. However, modern LfD techniques, e.g. inverse reinforcement learning…

Robotics · Computer Science 2020-11-24 Letian Chen , Rohan Paleja , Matthew Gombolay

In recent years deep neural networks have been successfully applied to the domains of reinforcement learning \cite{bengio2009learning,krizhevsky2012imagenet,hinton2006reducing}. Deep reinforcement learning \cite{mnih2015human} is reported…

Machine Learning · Computer Science 2020-05-19 Huihui Zhang , Wu Huang