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One of the main challenges in reinforcement learning is solving tasks with sparse reward. We show that the difficulty of discovering a distant rewarding state in an MDP is bounded by the expected cover time of a random walk over the graph…

Artificial Intelligence · Computer Science 2019-03-19 Yuu Jinnai , Jee Won Park , David Abel , George Konidaris

Metaheuristic search methods have proven to be essential tools for tackling complex optimization challenges, but their full potential is often constrained by conventional algorithmic frameworks. In this paper, we introduce a novel approach…

Artificial Intelligence · Computer Science 2024-10-23 Abdel-Rahman Hedar , Alaa E. Abdel-Hakim , Wael Deabes , Youseef Alotaibi , Kheir Eddine Bouazza

The contextual bandit literature has traditionally focused on algorithms that address the exploration-exploitation tradeoff. In particular, greedy algorithms that exploit current estimates without any exploration may be sub-optimal in…

Machine Learning · Statistics 2020-04-21 Hamsa Bastani , Mohsen Bayati , Khashayar Khosravi

This paper presents an empirical performance analysis of three project scheduling algorithms dealing with maximizing projects' net present value with unrestricted resources. The selected algorithms, being the most recently cited in the…

Artificial Intelligence · Computer Science 2022-07-08 Isac M. Lacerda , Eber A. Schmitz , Jayme L. Szwarcfiter , Rosiane de Freitas

An algorithm (bliss) is proposed to speed up the construction of slow adaptive walks. Slow adaptive walks are adaptive walks biased towards closer points or smaller move steps. They were previously introduced to explore a search space, e.g.…

Neural and Evolutionary Computing · Computer Science 2012-06-26 Susan Khor

Heuristics used for solving hard real-time search problems have regions with depressions. Such regions are bounded areas of the search space in which the heuristic function is inaccurate compared to the actual cost to reach a solution.…

Artificial Intelligence · Computer Science 2014-01-24 Carlos Hernández , Jorge A Baier

In this work we investigate a class of random walks that interacts with its environment called Tree Builder Random Walk (TBRW). In our settings, at each step, the walker adds a random number of vertices to its position sampled according to…

Probability · Mathematics 2026-03-31 Caio Alves , Rodrigo Ribeiro

In this paper we study controlled continuous time random walks (CTRWs) and heuristically derive pay-off function dynamic programming (DP) equations which turn in the limit of standard scaling to fractional Hamilton Jacobi Bellman type…

Optimization and Control · Mathematics 2012-04-05 V. Kolokoltsov , M. Veretennikova

Tree-structured LSTM is promising way to consider long-distance interaction over hierarchies. However, there have been few research efforts on the hyperparameter tuning of the construction and traversal of tree-structured LSTM. To name a…

Machine Learning · Computer Science 2020-08-24 Ruo Ando , Yoshiyasu Takefuji

Efficient exploration is one of the key challenges for reinforcement learning (RL) algorithms. Most traditional sample efficiency bounds require strategic exploration. Recently many deep RL algorithms with simple heuristic exploration…

Machine Learning · Computer Science 2019-04-19 Yao Liu , Emma Brunskill

The step-reinforced random walk (SRRW), where each step may replicate a randomly chosen past step, exhibits complex dependencies on the history. This paper introduces a generalized SRRW on groups, incorporating arbitrary transformations of…

Probability · Mathematics 2026-04-09 Yuval Peres , Shuo Qin

Tasks involving high-risk-high-return (HRHR) actions, such as obstacle crossing, often exhibit multimodal action distributions and stochastic returns. Most reinforcement learning (RL) methods assume unimodal Gaussian policies and rely on…

Machine Learning · Computer Science 2025-10-21 Jundong Zhang , Yuhui Situ , Fanji Zhang , Rongji Deng , Tianqi Wei

. In this paper we give a survey of some recent results for random walk in random scenery (RWRS). On $\mathbb {Z}^d$, $d\geq 1$, we are given a random walk with i.i.d. increments and a random scenery with i.i.d. components. The walk and the…

Probability · Mathematics 2007-05-23 Frank den Hollander , Jeffrey E. Steif

A random walk with echoed steps (RWES) is a process $\{\tilde{S}_n\}_{n\geq1}=\{\tilde{X}_1+\cdots+\tilde{X}_n\}_{n\geq1}$ that inserts memory and echo into an ordinary random walk (ORW) with i.i.d. steps, $X_1+\cdots+X_n$. The RWES is…

Probability · Mathematics 2025-10-31 Daniela Portillo del Valle

Combinatorial generalization remains a central challenge in Deep Reinforcement Learning (DRL). Classical planning provides a simple yet challenging setting to study this problem through explicit relational descriptions, without requiring…

Artificial Intelligence · Computer Science 2026-05-26 Michael Aichmüller , Yannik Hesse , Hector Geffner

We study a variant of the Generalized Excited Random Walk (GERW) on $\mathbb{Z}^d$ introduced by Menshikov, Popov, Ram\'irez and Vachkovskaia in [Ann. Probab. 40 (5), 2012]. It consists of a particular version of the model studied in [arXiv…

Probability · Mathematics 2026-05-27 Rodrigo B. Alves , Giulio Iacobelli , Glauco Valle , Leonel Zuaznábar

In this article, we present new random walk methods to solve flow and transport problems in unsaturated/saturated porous media, including coupled flow and transport processes in soils, heterogeneous systems modeled through random hydraulic…

Numerical Analysis · Mathematics 2021-05-14 Nicolae Suciu , Davide Illiano , Alexander Prechtel , Florin A. Radu

Randomized Uphill Climbing is a lightweight, stochastic search heuristic that has delivered state of the art equity alpha factors for quantitative hedge funds. I propose to generalize RUC into a model agnostic feature optimization framework…

Machine Learning · Computer Science 2025-05-08 Nguyen Van Thanh

This is a comprehensive review of the Greedy Randomized Adaptive Search Procedure (GRASP) metaheuristic and its hybridization with Path Relinking (PR) over the past two decades. GRASP with PR has become a widely adopted approach for solving…

Optimization and Control · Mathematics 2023-12-21 Manuel Laguna , Rafael Martí , Anna Martinez-Gavara , Sergio Perez-Peló , Mauricio G. C. Resende

Anytime heuristic search algorithms try to find a (potentially suboptimal) solution as quickly as possible and then work to find better and better solutions until an optimal solution is obtained or time is exhausted. The most widely-known…

Artificial Intelligence · Computer Science 2023-12-21 Sofia Lemons , Wheeler Ruml , Robert C. Holte , Carlos Linares López