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It has been observed that many classical planning domains with atomic goals can be solved by means of a simple polynomial exploration procedure, called IW, that runs in time exponential in the problem width, which in these cases is bounded…

Artificial Intelligence · Computer Science 2023-11-10 Blai Bonet , Hector Geffner

Width-based planning methods deal with conjunctive goals by decomposing problems into subproblems of low width. Algorithms like SIW thus fail when the goal is not easily serializable in this way or when some of the subproblems have a high…

Artificial Intelligence · Computer Science 2021-07-09 Dominik Drexler , Jendrik Seipp , Hector Geffner

Recently, sketches have been introduced as a general language for representing the subgoal structure of instances drawn from the same domain. Sketches are collections of rules of the form C -> E over a given set of features where C…

Artificial Intelligence · Computer Science 2022-03-29 Dominik Drexler , Jendrik Seipp , Hector Geffner

Generalized planning aims to learn policies that generalize across collections of instances within a classical planning domain. Recent Graph Neural Network (GNN) approaches have learned nearly perfect policies for several domains. This work…

Artificial Intelligence · Computer Science 2026-05-19 Michael Aichmüller , Simon Ståhlberg , Martin Funkquist , Hector Geffner

Combining the techniques of approximation algorithms and parameterized complexity has long been considered a promising research area, but relatively few results are currently known. In this paper we study the parameterized approximability…

Data Structures and Algorithms · Computer Science 2014-02-18 Michael Lampis

Algorithms often have tunable parameters that impact performance metrics such as runtime and solution quality. For many algorithms used in practice, no parameter settings admit meaningful worst-case bounds, so the parameters are made…

Machine Learning · Computer Science 2021-04-27 Maria-Florina Balcan , Dan DeBlasio , Travis Dick , Carl Kingsford , Tuomas Sandholm , Ellen Vitercik

Generalized planning is concerned with the characterization and computation of plans that solve many instances at once. In the standard formulation, a generalized plan is a mapping from feature or observation histories into actions,…

Artificial Intelligence · Computer Science 2018-06-15 Blai Bonet , Hector Geffner

A resolving set $S$ of a graph $G$ is a subset of its vertices such that no two vertices of $G$ have the same distance vector to $S$. The Metric Dimension problem asks for a resolving set of minimum size, and in its decision form, a…

Computational Complexity · Computer Science 2019-07-19 Édouard Bonnet , Nidhi Purohit

While several classes of integer linear optimization problems are known to be solvable in polynomial time, far fewer tractability results exist for integer nonlinear optimization. In this work, we narrow this gap by identifying a broad…

Optimization and Control · Mathematics 2026-02-09 Alberto Del Pia

Width-based algorithms search for solutions through a general definition of state novelty. These algorithms have been shown to result in state-of-the-art performance in classical planning, and have been successfully applied to model-based…

Artificial Intelligence · Computer Science 2021-06-10 Nir Lipovetzky

Supervised learning results typically rely on assumptions of i.i.d. data. Unfortunately, those assumptions are commonly violated in practice. In this work, we tackle such problem by focusing on domain generalization: a formalization where…

Machine Learning · Computer Science 2024-10-30 Isabela Albuquerque , João Monteiro , Mohammad Darvishi , Tiago H. Falk , Ioannis Mitliagkas

In the problem of domain generalization (DG), there are labeled training data sets from several related prediction problems, and the goal is to make accurate predictions on future unlabeled data sets that are not known to the learner. This…

Machine Learning · Statistics 2021-01-08 Gilles Blanchard , Aniket Anand Deshmukh , Urun Dogan , Gyemin Lee , Clayton Scott

Parameterized algorithms are a way to solve hard problems more efficiently, given that a specific parameter of the input is small. In this paper, we apply this idea to the field of answer set programming (ASP). To this end, we propose two…

Logic in Computer Science · Computer Science 2017-02-10 Johannes Fichte , Markus Hecher , Michael Morak , Stefan Woltran

Algorithms for learning programmatic representations for sequential decision-making problems are often evaluated on out-of-distribution (OOD) problems, with the common conclusion that programmatic policies generalize better than neural…

Machine Learning · Computer Science 2025-06-18 Amirhossein Rajabpour , Kiarash Aghakasiri , Sandra Zilles , Levi H. S. Lelis

General policies represent reactive strategies for solving large families of planning problems like the infinite collection of solvable instances from a given domain. Methods for learning such policies from a collection of small training…

Artificial Intelligence · Computer Science 2024-05-14 Till Hofmann , Hector Geffner

Width-based planning has demonstrated great success in recent years due to its ability to scale independently of the size of the state space. For example, Bandres et al. (2018) introduced a rollout version of the Iterated Width algorithm…

Artificial Intelligence · Computer Science 2021-10-06 Miquel Junyent , Anders Jonsson , Vicenç Gómez

We consider the problem of learning generalized policies for classical planning domains using graph neural networks from small instances represented in lifted STRIPS. The problem has been considered before but the proposed neural…

Artificial Intelligence · Computer Science 2022-05-13 Simon Ståhlberg , Blai Bonet , Hector Geffner

We generalize many results concerning the tractability of SAT and #SAT on bounded treewidth CNF-formula in the context of Quantified Boolean Formulas (QBF). To this end, we start by studying the notion of width for OBDD and observe that the…

Computational Complexity · Computer Science 2018-07-12 Florent Capelli , Stefan Mengel

The goal of domain generalization algorithms is to predict well on distributions different from those seen during training. While a myriad of domain generalization algorithms exist, inconsistencies in experimental conditions -- datasets,…

Machine Learning · Computer Science 2020-07-06 Ishaan Gulrajani , David Lopez-Paz

The ability to generalize to unseen domains is crucial for machine learning systems deployed in the real world, especially when we only have data from limited training domains. In this paper, we propose a simple and effective regularization…

Machine Learning · Computer Science 2023-12-06 Zhenmei Shi , Yifei Ming , Ying Fan , Frederic Sala , Yingyu Liang
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