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We study the problem of optimal state-feedback tracking control for unknown discrete-time deterministic systems with input constraints. To handle input constraints, state-of-art methods utilize a certain nonquadratic stage cost function,…

Systems and Control · Electrical Eng. & Systems 2020-12-09 Alexandros Tanzanakis , John Lygeros

Modified policy iteration (MPI) is a dynamic programming (DP) algorithm that contains the two celebrated policy and value iteration methods. Despite its generality, MPI has not been thoroughly studied, especially its approximation form…

Artificial Intelligence · Computer Science 2012-05-21 Bruno Scherrer , Victor Gabillon , Mohammad Ghavamzadeh , Matthieu Geist

Diffusion alignment aims to optimize diffusion models for the downstream objective. While existing methods based on reinforcement learning or direct backpropagation achieve considerable success in maximizing rewards, they often suffer from…

Machine Learning · Computer Science 2026-03-09 Jaewoo Lee , Minsu Kim , Sanghyeok Choi , Inhyuck Song , Sujin Yun , Hyeongyu Kang , Woocheol Shin , Taeyoung Yun , Kiyoung Om , Jinkyoo Park

Modern deep policy gradient methods achieve effective performance on simulated robotic tasks, but they all require large replay buffers or expensive batch updates, or both, making them incompatible for real systems with resource-limited…

Machine Learning · Computer Science 2025-05-22 Gautham Vasan , Mohamed Elsayed , Alireza Azimi , Jiamin He , Fahim Shariar , Colin Bellinger , Martha White , A. Rupam Mahmood

This paper presents a novel model-free Reinforcement Learning algorithm for learning behavior in continuous action, state, and goal spaces. The algorithm approximates optimal value functions using non-parametric estimators. It is able to…

Artificial Intelligence · Computer Science 2019-08-28 Andreas Gerken , Michael Spranger

Reinforcement learning (RL) suffers from severe sample inefficiency, especially during early training, requiring extensive environmental interactions to perform competently. Existing methods tend to solve this by incorporating prior…

Machine Learning · Computer Science 2025-04-29 Wenjun Cao

Nowadays, algorithms with fast convergence, small memory footprints, and low per-iteration complexity are particularly favorable for artificial intelligence applications. In this paper, we propose a doubly stochastic algorithm with a novel…

Machine Learning · Computer Science 2023-04-25 Zebang Shen , Hui Qian , Tongzhou Mu , Chao Zhang

Adaptive optimal control using value iteration (VI) initiated from a stabilizing policy is theoretically analyzed in various aspects including the continuity of the result, the stability of the system operated using any single/constant…

Systems and Control · Computer Science 2015-05-18 Ali Heydari

In mathematical reasoning, data selection strategies predominantly rely on static, externally defined metrics, which fail to adapt to the evolving capabilities of models during training. This misalignment limits the efficiency of Supervised…

Artificial Intelligence · Computer Science 2026-04-20 Jun Rao , Xuebo Liu , Hexuan Deng , Zepeng Lin , Zixiong Yu , Jiansheng Wei , Xiaojun Meng , Min Zhang

In this paper we discuss $\l$-policy iteration, a method for exact and approximate dynamic programming. It is intermediate between the classical value iteration (VI) and policy iteration (PI) methods, and it is closely related to optimistic…

Systems and Control · Computer Science 2015-07-07 Dimitri P. Bertsekas

Tackling large approximate dynamic programming or reinforcement learning problems requires methods that can exploit regularities, or intrinsic structure, of the problem in hand. Most current methods are geared towards exploiting the…

Machine Learning · Computer Science 2014-07-03 Amir-massoud Farahmand , Doina Precup , André M. S. Barreto , Mohammad Ghavamzadeh

Dynamic programming is a class of algorithms used to compute optimal control policies for Markov decision processes. Dynamic programming is ubiquitous in control theory, and is also the foundation of reinforcement learning. In this paper,…

Category Theory · Mathematics 2023-08-01 Jules Hedges , Riu Rodríguez Sakamoto

In this paper, we propose a novel policy iteration method, called dynamic policy programming (DPP), to estimate the optimal policy in the infinite-horizon Markov decision processes. We prove the finite-iteration and asymptotic l\infty-norm…

Machine Learning · Computer Science 2011-09-09 Mohammad Gheshlaghi Azar , Vicenc Gomez , Hilbert J. Kappen

In this article, variational state estimation is examined from the dynamic programming perspective. This leads to two different value functional recursions depending on whether backward or forward dynamic programming is employed. The result…

Methodology · Statistics 2025-12-17 Filip Tronarp

Partially observable Markov decision processes (POMDPs) have recently become popular among many AI researchers because they serve as a natural model for planning under uncertainty. Value iteration is a well-known algorithm for finding…

Artificial Intelligence · Computer Science 2011-06-02 N. L. Zhang , W. Zhang

While value iteration (VI) is a standard solution approach to simple stochastic games (SSGs), it suffered from the lack of a stopping criterion. Recently, several solutions have appeared, among them also "optimistic" VI (OVI). However, OVI…

Computer Science and Game Theory · Computer Science 2022-08-01 Muqsit Azeem , Alexandros Evangelidis , Jan Křetínský , Alexander Slivinskiy , Maximilian Weininger

Reinforcement Learning has become a standard paradigm for aligning Large Language Models with human intent and task requirements. While Group Relative Policy Optimization offers an efficient, value-model-free alternative to Proximal Policy…

Computation and Language · Computer Science 2026-05-26 Guochao Jiang , Jingyi Song , Guofeng Quan , Chuzhan Hao , Guohua Liu , Yuewei Zhang

Optimizing the learning rate remains a critical challenge in machine learning, essential for achieving model stability and efficient convergence. The Vector Auxiliary Variable (VAV) algorithm introduces a novel energy-based self-adjustable…

Machine Learning · Computer Science 2024-11-12 Jiahao Zhang , Christian Moya , Guang Lin

Variational inference (VI) is a specific type of approximate Bayesian inference that approximates an intractable posterior distribution with a tractable one. VI casts the inference problem as an optimization problem, more specifically, the…

Machine Learning · Computer Science 2022-12-20 Felix Leibfried

This paper presents Dual Action Policy (DAP), a novel approach to address the dynamics mismatch inherent in the sim-to-real gap of reinforcement learning. DAP uses a single policy to predict two sets of actions: one for maximizing task…

Machine Learning · Computer Science 2024-10-17 Ng Wen Zheng Terence , Chen Jianda