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We introduce a stochastic approximation method for the solution of an ergodic Kullback-Leibler control problem. A Kullback-Leibler control problem is a Markov decision process on a finite state space in which the control cost is…

最优化与控制 · 数学 2012-02-17 Joris Bierkens , Bert Kappen

A key aspect of human intelligence is the ability to imagine -- composing learned concepts in novel ways -- to make sense of new scenarios. Such capacity is not yet attained for machine learning systems. In this work, in the context of…

人工智能 · 计算机科学 2023-10-31 Rim Assouel , Pau Rodriguez , Perouz Taslakian , David Vazquez , Yoshua Bengio

Many challenges in science and engineering, such as drug discovery and communication network design, involve optimizing complex and expensive black-box functions across vast search spaces. Thus, it is essential to leverage existing data to…

机器学习 · 计算机科学 2024-12-04 Juncheng Dong , Zihao Wu , Hamid Jafarkhani , Ali Pezeshki , Vahid Tarokh

The optimized certainty equivalent (OCE) is a family of risk measures that cover important examples such as entropic risk, conditional value-at-risk and mean-variance models. In this paper, we propose a new episodic risk-sensitive…

机器学习 · 计算机科学 2023-06-09 Wenhao Xu , Xuefeng Gao , Xuedong He

We introduce the Knob-Meter-Rule (KMR) framework, a unified formalism for representing and reasoning about model efficiency techniques in deep learning. By abstracting diverse methods, including pruning, quantization, knowledge…

机器学习 · 计算机科学 2025-08-20 Naman Tyagi , Srishti Das , Kunal , Vatsal Gupta

We present a model-free reinforcement learning algorithm to find an optimal policy for a finite-horizon Markov decision process while guaranteeing a desired lower bound on the probability of satisfying a signal temporal logic (STL)…

系统与控制 · 电气工程与系统科学 2021-09-29 Krishna C. Kalagarla , Rahul Jain , Pierluigi Nuzzo

We study multi-objective reinforcement learning with nonlinear preferences over trajectories. That is, we maximize the expected value of a nonlinear function over accumulated rewards (expected scalarized return or ESR) in a multi-objective…

机器学习 · 计算机科学 2025-02-19 Nianli Peng , Muhang Tian , Brandon Fain

We present MOSS, a multi-objective optimization framework for constructing stable sets of decision rules. MOSS incorporates three important criteria for interpretability: sparsity, accuracy, and stability, into a single multi-objective…

最优化与控制 · 数学 2025-07-31 Brian Liu , Rahul Mazumder

We consider Markov models of stochastic processes where the next-step conditional distribution is defined by a kernel density estimator (KDE), similar to Markov forecast densities and certain time-series bootstrap schemes. The KDE Markov…

机器学习 · 计算机科学 2018-07-31 Gustav Eje Henter , Arne Leijon , W. Bastiaan Kleijn

We consider multi-objective optimization (MOO) of an unknown vector-valued function in the non-parametric Bayesian optimization (BO) setting, with the aim being to learn points on the Pareto front of the objectives. Most existing BO…

机器学习 · 计算机科学 2020-08-21 Sayak Ray Chowdhury , Aditya Gopalan

The theory of Koopman operators allows to deploy non-parametric machine learning algorithms to predict and analyze complex dynamical systems. Estimators such as principal component regression (PCR) or reduced rank regression (RRR) in kernel…

Continuous-time stochastic processes underlie many natural and engineered systems. In healthcare, autonomous driving, and industrial control, direct interaction with the environment is often unsafe or impractical, motivating offline…

机器学习 · 统计学 2025-11-14 Nicolas Hoischen , Petar Bevanda , Max Beier , Stefan Sosnowski , Boris Houska , Sandra Hirche

We consider a piecewise deterministic Markov decision process, where the expected exponential utility of total (nonnegative) cost is to be minimized. The cost rate, transition rate and post-jump distributions are under control. The state…

最优化与控制 · 数学 2017-11-22 Xin Guo , Yi Zhang

We study stochastic optimization algorithms for constrained nonconvex stochastic optimization problems with Markovian data. In particular, we focus on the case when the transition kernel of the Markov chain is state-dependent. Such…

最优化与控制 · 数学 2022-11-10 Abhishek Roy , Krishnakumar Balasubramanian , Saeed Ghadimi

We propose a new reinforcement learning algorithm for partially observable Markov decision processes (POMDP) based on spectral decomposition methods. While spectral methods have been previously employed for consistent learning of (passive)…

人工智能 · 计算机科学 2017-06-20 Kamyar Azizzadenesheli , Alessandro Lazaric , Animashree Anandkumar

Markov automata combine non-determinism, probabilistic branching, and exponentially distributed delays. This compositional variant of continuous-time Markov decision processes is used in reliability engineering, performance evaluation and…

计算机科学中的逻辑 · 计算机科学 2017-05-11 Tim Quatmann , Sebastian Junges , Joost-Pieter Katoen

We consider the problem of steering a system with unknown, stochastic dynamics to satisfy a rich, temporally layered task given as a signal temporal logic formula. We represent the system as a Markov decision process in which the states are…

系统与控制 · 计算机科学 2015-10-23 Austin Jones , Derya Aksaray , Zhaodan Kong , Mac Schwager , Calin Belta

Partially observable Markov decision processes (POMDPs) are standard models for dynamic systems with probabilistic and nondeterministic behaviour in uncertain environments. We prove that in POMDPs with long-run average objective, the…

计算机科学与博弈论 · 计算机科学 2022-09-29 Krishnendu Chatterjee , Raimundo Saona , Bruno Ziliotto

As a multitude of capable machine learning (ML) models become widely available in forms such as open-source software and public APIs, central questions remain regarding their use in real-world applications, especially in high-stakes…

机器学习 · 计算机科学 2024-06-03 Dimitris Bertsimas , Matthew Peroni

We propose a framework for verifiable and compositional reinforcement learning (RL) in which a collection of RL subsystems, each of which learns to accomplish a separate subtask, are composed to achieve an overall task. The framework…

系统与控制 · 电气工程与系统科学 2023-09-13 Cyrus Neary , Aryaman Singh Samyal , Christos Verginis , Murat Cubuktepe , Ufuk Topcu