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Most continuous mathematical formulations arising in science and engineering can only be solved numerically and therefore approximately. We shall always assume that we're dealing with a numerical approximation to the solution. There are two…

Quantum Physics · Physics 2007-12-10 A. Papageorgiou , J. F. Traub

A practical challenge in reinforcement learning are combinatorial action spaces that make planning computationally demanding. For example, in cooperative multi-agent reinforcement learning, a potentially large number of agents jointly…

Algorithms of inference in a computer system oriented to input and semantic processing of text information are presented. Such inference is necessary for logical questions when the direct comparison of objects from a question and database…

Computation and Language · Computer Science 2012-02-02 Yuriy Ostapov

In this article a few of the qualitative spatio-temporal knowledge representation techniques developed by the constraint reasoning community within artificial intelligence are reviewed. The objective is to provide a broad exposure to any…

Artificial Intelligence · Computer Science 2018-12-07 Debasis Mitra

There has been significant interest in crowdsourcing and human computation. One subclass of human computation applications are those directed at tasks that involve planning (e.g. travel planning) and scheduling (e.g. conference scheduling).…

Artificial Intelligence · Computer Science 2013-07-31 Kartik Talamadupula , Subbarao Kambhampati

Classical planning problems are typically defined using lifted first-order representations, which offer compactness and generality. While most planners ground these representations to simplify reasoning, this can cause an exponential blowup…

Artificial Intelligence · Computer Science 2026-03-23 João Filipe , Gregor Behnke

This paper explores the application of automated planning to automated theorem proving, which is a branch of automated reasoning concerned with the development of algorithms and computer programs to construct mathematical proofs. In…

Artificial Intelligence · Computer Science 2023-12-12 Alice Petrov , Christian Muise

Many tasks in statistical and causal inference can be construed as problems of \emph{entailment} in a suitable formal language. We ask whether those problems are more difficult, from a computational perspective, for \emph{causal}…

Logic in Computer Science · Computer Science 2023-06-02 Milan Mossé , Duligur Ibeling , Thomas Icard

3D task planning has attracted increasing attention in human-robot interaction and embodied AI thanks to the recent advances in multimodal learning. However, most existing studies are facing two common challenges: 1) heavy reliance on…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Xueying Jiang , Wenhao Li , Xiaoqin Zhang , Ling Shao , Shijian Lu

In the last few years, theoretical study of quantum systems serving as computational devices has achieved tremendous progress. We now have strong theoretical evidence that quantum computers, if built, might be used as a dramatically…

Quantum Physics · Physics 2016-11-03 Dorit Aharonov

Many of the core disciplines of artificial intelligence have sets of standard benchmark problems well known and widely used by the community when developing new algorithms. Constraint programming and automated planning are examples of these…

Artificial Intelligence · Computer Science 2020-09-23 Özgür Akgün , Nguyen Dang , Joan Espasa , Ian Miguel , András Z. Salamon , Christopher Stone

Algebraic model counting unifies many inference tasks on logic formulas by exploiting semirings. Rather than focusing on inference, we consider learning, especially in statistical-relational and neurosymbolic AI, which combine logical,…

Artificial Intelligence · Computer Science 2025-02-26 Jaron Maene , Luc De Raedt

Abductive reasoning is a popular non-monotonic paradigm that aims to explain observed symptoms and manifestations. It has many applications, such as diagnosis and planning in artificial intelligence and database updates. In propositional…

Artificial Intelligence · Computer Science 2026-01-14 Johannes Schmidt , Mohamed Maizia , Victor Lagerkvist , Johannes K. Fichte

Existing decision-theoretic reasoning frameworks such as decision networks use simple data structures and processes. However, decisions are often made based on complex data structures, such as social networks and protein sequences, and rich…

Artificial Intelligence · Computer Science 2014-07-14 Brian E. Ruttenberg , Avi Pfeffer

Qualitative modelling is a technique integrating the fields of theoretical computer science, artificial intelligence and the physical and biological sciences. The aim is to be able to model the behaviour of systems without estimating…

Computational Engineering, Finance, and Science · Computer Science 2012-09-19 Thomas W. Kelsey , Lars Kotthoff , Christoffer A. Jefferson , Stephen A. Linton , Ian Miguel , Peter Nightingale , Ian P. Gent

Planning in robotics is often split into task and motion planning. The high-level, symbolic task planner decides what needs to be done, while the motion planner checks feasibility and fills up geometric detail. It is known however that such…

Robotics · Computer Science 2017-06-22 Jonathan Ferrer-Mestres , Guillem Francès , Hector Geffner

Automated reasoning about uncertain knowledge has many applications. One difficulty when developing such systems is the lack of a completely satisfactory integration of logic and probability. We address this problem directly. Expressive…

Logic in Computer Science · Computer Science 2012-09-13 Marcus Hutter , John W. Lloyd , Kee Siong Ng , William T. B. Uther

When using sampling-based motion planners, such as PRMs, in configuration spaces, it is difficult to determine how many samples are required for the PRM to find a solution consistently. This is relevant in Task and Motion Planning (TAMP),…

Robotics · Computer Science 2024-12-06 Seiji Shaw , Aidan Curtis , Leslie Pack Kaelbling , Tomás Lozano-Pérez , Nicholas Roy

Algorithms for continuous optimization problems have a rich history of design and innovation over the past several decades, in which mathematical analysis of their convergence and complexity properties plays a central role. Besides their…

Optimization and Control · Mathematics 2025-12-03 Stephen J. Wright
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