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Qualitative numerical planning is classical planning extended with non-negative real variables that can be increased or decreased "qualitatively", i.e., by positive indeterminate amounts. While deterministic planning with numerical…

Artificial Intelligence · Computer Science 2020-11-30 Blai Bonet , Hector Geffner

This paper suggests a forward-pruning technique for computer chess that uses 'Move Tables', which are like Transposition Tables, but for moves not positions. They use an efficient memory structure and has put the design into the context of…

Artificial Intelligence · Computer Science 2019-01-18 Kieran Greer

Partially observable Markov decision processes (POMDPs) with continuous state and observation spaces have powerful flexibility for representing real-world decision and control problems but are notoriously difficult to solve. Recent online…

Machine Learning · Computer Science 2023-06-06 Michael H. Lim , Claire J. Tomlin , Zachary N. Sunberg

Ensemble learning combines multiple classifiers in the hope of obtaining better predictive performance. Empirical studies have shown that ensemble pruning, that is, choosing an appropriate subset of the available classifiers, can lead to…

Cutting planes are crucial for the performance of branch-and-cut algorithms for solving mixed-integer programming (MIP) problems, and linear row aggregation has been successfully applied to better leverage the potential of several major…

Optimization and Control · Mathematics 2025-02-05 Liding Xu , Gioni Mexi , Ksenia Bestuzheva

We consider two-player games played on finite colored graphs where the goal is the construction of an infinite path with one of the following frequency-related properties: (i) all colors occur with the same asymptotic frequency, (ii) there…

Computer Science and Game Theory · Computer Science 2010-06-29 Alessandro Bianco , Marco Faella , Fabio Mogavero , Aniello Murano

In this paper we address game theory problems arising in the context of network security. In traditional game theory problems, given a defender and an attacker, one searches for mixed strategies which minimize a linear payoff functional. In…

Optimization and Control · Mathematics 2020-09-22 Giampaolo Liuzzi , Marco Locatelli , Veronica Piccialli , Stefan Rass

A commonly used technique for managing AI complexity in real-time strategy (RTS) games is to use action and/or state abstractions. High-level abstractions can often lead to good strategic decision making, but tactical decision quality may…

Artificial Intelligence · Computer Science 2017-09-12 Nicolas A. Barriga , Marius Stanescu , Michael Buro

We study the interplay between chip-firing games and potential theory on graphs, characterizing reduced divisors ($G$-parking functions) on graphs as the solution to an energy (or potential) minimization problem and providing an algorithm…

Combinatorics · Mathematics 2012-07-31 Matthew Baker , Farbod Shokrieh

Tree projections provide a unifying framework to deal with most structural decomposition methods of constraint satisfaction problems (CSPs). Within this framework, a CSP instance is decomposed into a number of sub-problems, called views,…

Artificial Intelligence · Computer Science 2017-11-15 Georg Gottlob , Gianlugi Greco , Francesco Scarcello

Cutting plane methods are a fundamental approach for solving integer linear programs (ILPs). In each iteration of such methods, additional linear constraints (cuts) are introduced to the constraint set with the aim of excluding the previous…

Optimization and Control · Mathematics 2024-06-28 Pol Puigdemont , Stratis Skoulakis , Grigorios Chrysos , Volkan Cevher

Sequential decision making problems, such as structured prediction, robotic control, and game playing, require a combination of planning policies and generalisation of those plans. In this paper, we present Expert Iteration (ExIt), a novel…

Artificial Intelligence · Computer Science 2024-10-25 Thomas Anthony , Zheng Tian , David Barber

The selection of branching variables is a key component of branch-and-bound algorithms for solving Mixed-Integer Programming (MIP) problems since the quality of the selection procedure is likely to have a significant effect on the size of…

Optimization and Control · Mathematics 2016-08-23 Pierre Le Bodic , George L. Nemhauser

We study optimal decision policies for integer linear programs with a fixed feasible set and varying cost vectors, represented as linear decision trees. Once synthesized for a given feasible set, they return an optimal solution for any…

Optimization and Control · Mathematics 2026-05-05 Théo Guyard , Cleber Oliveira , Maximilian Schiffer , Eduardo Uchoa , Thibaut Vidal

This paper proposes a new mixed-integer programming (MIP) formulation to optimize split rule selection in the decision tree induction process, and develops an efficient search algorithm that is able to solve practical instances of the MIP…

Machine Learning · Computer Science 2022-05-31 Yanchao Liu

We consider a class of two-player zero-sum stochastic games with finite state and compact control spaces, which we call stochastic shortest path (SSP) games. They are undiscounted total cost stochastic dynamic games that have a cost-free…

Optimization and Control · Mathematics 2014-12-31 Huizhen Yu

Bandit based methods for tree search have recently gained popularity when applied to huge trees, e.g. in the game of go [6]. Their efficient exploration of the tree enables to re- turn rapidly a good value, and improve preci- sion if more…

Artificial Intelligence · Computer Science 2014-08-12 Pierre-Arnuad Coquelin , Remi Munos

Quantum signal processing (QSP) provides a systematic framework for implementing a polynomial transformation of a linear operator, and unifies nearly all known quantum algorithms. In parallel, recent works have developed randomized…

Quantum Physics · Physics 2025-03-26 John M. Martyn , Patrick Rall

The Binary Space Partitioning-Tree~(BSP-Tree) process was recently proposed as an efficient strategy for space partitioning tasks. Because it uses more than one dimension to partition the space, the BSP-Tree Process is more efficient and…

Machine Learning · Statistics 2020-03-03 Xuhui Fan , Bin Li , Scott A. Sisson

General Video Game Playing (GVGP) is a field of Artificial Intelligence where agents play a variety of real-time video games that are unknown in advance. This limits the use of domain-specific heuristics. Monte-Carlo Tree Search (MCTS) is a…

Artificial Intelligence · Computer Science 2024-07-04 Dennis J. N. J. Soemers , Chiara F. Sironi , Torsten Schuster , Mark H. M. Winands
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