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Reactive synthesis algorithms allow automatic construction of policies to control an environment modeled as a Markov Decision Process (MDP) that are optimal with respect to high-level temporal logic specifications. However, they assume that…

Formal Languages and Automata Theory · Computer Science 2022-05-31 Rajeev Alur , Suguman Bansal , Osbert Bastani , Kishor Jothimurugan

Learning to evaluate and improve policies is a core problem of Reinforcement Learning (RL). Traditional RL algorithms learn a value function defined for a single policy. A recently explored competitive alternative is to learn a single value…

Machine Learning · Computer Science 2022-07-05 Francesco Faccio , Aditya Ramesh , Vincent Herrmann , Jean Harb , Jürgen Schmidhuber

Recent adversarial attack developments have made reinforcement learning more vulnerable, and different approaches exist to deploy attacks against it, where the key is how to choose the right timing of the attack. Some work tries to design…

Machine Learning · Computer Science 2022-05-03 Yang Li , Quan Pan , Erik Cambria

We consider a reinforcement learning setting introduced in (Maillard et al., NIPS 2011) where the learner does not have explicit access to the states of the underlying Markov decision process (MDP). Instead, she has access to several models…

Machine Learning · Computer Science 2014-09-16 Ronald Ortner , Odalric-Ambrym Maillard , Daniil Ryabko

There are over 15 distinct communities that work in the general area of sequential decisions and information, often referred to as decisions under uncertainty or stochastic optimization. We focus on two of the most important fields:…

Artificial Intelligence · Computer Science 2019-12-19 Warren B Powell

Empirical design in reinforcement learning is no small task. Running good experiments requires attention to detail and at times significant computational resources. While compute resources available per dollar have continued to grow…

Machine Learning · Computer Science 2024-10-30 Andrew Patterson , Samuel Neumann , Martha White , Adam White

In this work we present a novel approach to hierarchical reinforcement learning for linearly-solvable Markov decision processes. Our approach assumes that the state space is partitioned, and the subtasks consist in moving between the…

Machine Learning · Computer Science 2024-06-04 Guillermo Infante , Anders Jonsson , Vicenç Gómez

We present metrics for measuring state similarity in Markov decision processes (MDPs) with infinitely many states, including MDPs with continuous state spaces. Such metrics provide a stable quantitative analogue of the notion of…

Artificial Intelligence · Computer Science 2012-07-09 Norman Ferns , Prakash Panangaden , Doina Precup

We examine the problem of learning mappings from state to state, suitable for use in a model-based reinforcement-learning setting, that simultaneously generalize to novel states and can capture stochastic transitions. We show that currently…

Machine Learning · Computer Science 2017-10-27 Yuhang Song , Christopher Grimm , Xianming Wang , Michael L. Littman

Optimal designs are usually model-dependent and likely to be sub-optimal if the postulated model is not correctly specified. In practice, it is common that a researcher has a list of candidate models at hand and a design has to be found…

Statistics Theory · Mathematics 2023-03-29 Mingyao Ai , Holger Dette , Zhengfu Liu , Jun Yu

This note aims to provide a basic intuition on the concept of filtrations as used in the context of reinforcement learning (RL). Filtrations are often used to formally define RL problems, yet their implications might not be eminent for…

Machine Learning · Computer Science 2020-08-07 W. J. A. van Heeswijk

Tokenization is a hardcoded compression step which remains in the training pipeline of Large Language Models (LLMs), despite a general trend towards architectures becoming increasingly end-to-end. Prior work has shown promising results at…

Machine Learning · Computer Science 2026-02-17 Sam Dauncey , Roger Wattenhofer

Distances are pervasive in machine learning. They serve as similarity measures, loss functions, and learning targets; it is said that a good distance measure solves a task. When defining distances, the triangle inequality has proven to be a…

Machine Learning · Computer Science 2020-07-08 Silviu Pitis , Harris Chan , Kiarash Jamali , Jimmy Ba

Persistent topological properties of an image serve as an additional descriptor providing an insight that might not be discovered by traditional neural networks. The existing research in this area focuses primarily on efficiently…

Computer Vision and Pattern Recognition · Computer Science 2023-03-07 Ekaterina Khramtsova , Guido Zuccon , Xi Wang , Mahsa Baktashmotlagh

In deep learning applications, robustness measures the ability of neural models that handle slight changes in input data, which could lead to potential safety hazards, especially in safety-critical applications. Pre-deployment assessment of…

Software Engineering · Computer Science 2024-04-26 Wenchuan Mu , Kwan Hui Lim

Parametric Markov chains (pMC) are used to model probabilistic systems with unknown or partially known probabilities. Although (universal) pMC verification for reachability properties is known to be coETR-complete, there have been efforts…

Logic in Computer Science · Computer Science 2025-04-29 Kasper Engelen , Guillermo A. Pérez , Shrisha Rao

Graphs can be used to represent and reason about systems and a variety of metrics have been devised to quantify their global characteristics. However, little is currently known about how to construct a graph or improve an existing one given…

Machine Learning · Computer Science 2021-10-28 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

Function approximation has been an indispensable component in modern reinforcement learning algorithms designed to tackle problems with large state spaces in high dimensions. This paper reviews recent results on error analysis for these…

Machine Learning · Computer Science 2024-02-27 Jihao Long , Jiequn Han

Techniques from computational topology, in particular persistent homology, are becoming increasingly relevant for data analysis. Their stable metrics permit the use of many distance-based data analysis methods, such as multidimensional…

Algebraic Topology · Mathematics 2021-01-20 Bastian Rieck , Filip Sadlo , Heike Leitte

Reinforcement learning algorithms are commonly analyzed (and designed) under the Markov assumption. This is unrealistic, as most environments encountered in practice are either partially observable, or require function approximation that…

Machine Learning · Computer Science 2026-05-28 Onno Eberhard , Claire Vernade , Michael Muehlebach
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