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A research frontier has emerged in scientific computation, wherein numerical error is regarded as a source of epistemic uncertainty that can be modelled. This raises several statistical challenges, including the design of statistical…

Machine Learning · Statistics 2017-10-19 François-Xavier Briol , Chris. J. Oates , Mark Girolami , Michael A. Osborne , Dino Sejdinovic

In this paper, a class of optimization problems with nonlinear inequality constraints is discussed. Based on the ideas of sequential quadratic programming algorithm and the method of strongly sub-feasible directions, a new superlinearly…

Optimization and Control · Mathematics 2012-06-28 Jin-Bao Jian , Chuan-Hao Guo , Chun-Ming Tang , Yan-Qin Bai

We consider Markov decision processes (MDPs) which are a standard model for probabilistic systems. We focus on qualitative properties for MDPs that can express that desired behaviors of the system arise almost-surely (with probability 1) or…

Logic in Computer Science · Computer Science 2014-05-06 Krishnendu Chatterjee , Martin Chmelik , Przemyslaw Daca

The paper introduces a generalization for known probabilistic models such as log-linear and graphical models, called here multiplicative models. These models, that express probabilities via product of parameters are shown to capture…

Artificial Intelligence · Computer Science 2012-06-18 Ydo Wexler , Christopher Meek

Unstructured search remains as one of the significant challenges in computer science, as classical search algorithms become increasingly impractical for large-scale systems due to their linear time complexity. Quantum algorithms, notably…

Quantum Physics · Physics 2025-05-22 Harishankar Mishra , Asvija Balasubramanyam , Gudapati Naresh Raghava

A process algebra is proposed, whose semantics maps a term to a nondeterministic finite automaton (NFA, for short). We prove a representability theorem: for each NFA $N$, there exists a process algebraic term $p$ such that its semantics is…

Formal Languages and Automata Theory · Computer Science 2024-02-02 Roberto Gorrieri

Roles in cryptographic protocols do not always have a linear execution, but may include choice points causing the protocol to continue along different paths. In this paper we address the problem of representing choice in the strand space…

Cryptography and Security · Computer Science 2019-04-23 Fan Yang , Santiago Escobar , Catherine Meadows , José Meseguer

The well-known process algebras, such as CCS, ACP and $\pi$-calculus, capture the interleaving concurrency based on bisimilarity semantics. We did some work on truly concurrent process algebras, such as CTC, APTC and $\pi_{tc}$, capture the…

Logic in Computer Science · Computer Science 2021-09-09 Yong Wang

Adversarial computations are a widely studied class of computations where resource-bounded probabilistic adversaries have access to oracles, i.e., probabilistic procedures with private state. These computations arise routinely in several…

Logic in Computer Science · Computer Science 2021-07-13 Alejandro Aguirre , Gilles Barthe , Marco Gaboardi , Deepak Garg , Shin-ya Katsumata , Tetsuya Sato

The growing complexity of real-world systems necessitates interdisciplinary solutions to confront myriad challenges in modeling, analysis, management, and control. To meet these demands, the parallel systems method rooted in Artificial…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-26 Yong Zhao , Zhengqiu Zhu , Bin Chen , Sihang Qiu , Jincai Huang , Xin Lu , Weiyi Yang , Chuan Ai , Kuihua Huang , Cheng He , Yucheng Jin , Zhong Liu , Fei-Yue Wang

Concurrent pattern calculus (CPC) drives interaction between processes by comparing data structures, just as sequential pattern calculus drives computation. By generalising from pattern matching to pattern unification, interaction becomes…

Logic in Computer Science · Computer Science 2015-07-01 Thomas Given-Wilson , Daniele Gorla , Barry Jay

This paper studies theoretically and empirically a method of turning machine-learning algorithms into probabilistic predictors that automatically enjoys a property of validity (perfect calibration) and is computationally efficient. The…

Machine Learning · Computer Science 2015-11-16 Vladimir Vovk , Ivan Petej , Valentina Fedorova

This paper describes a system, called PLP, for compiling ordered logic programs into standard logic programs under the answer set semantics. In an ordered logic program, rules are named by unique terms, and preferences among rules are given…

Artificial Intelligence · Computer Science 2007-05-23 James P. Delgrande , Torsten Schaub , Hans Tompits

In clustering problems, a central decision-maker is given a complete metric graph over vertices and must provide a clustering of vertices that minimizes some objective function. In fair clustering problems, vertices are endowed with a color…

Machine Learning · Computer Science 2023-06-06 Seyed A. Esmaeili , Brian Brubach , Leonidas Tsepenekas , John P. Dickerson

Arguing for the need to combine declarative and probabilistic programming, B\'ar\'any et al. (TODS 2017) recently introduced a probabilistic extension of Datalog as a "purely declarative probabilistic programming language." We revisit this…

Databases · Computer Science 2022-02-17 Martin Grohe , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Peter Lindner

We establish an assume-guarantee (AG) framework for compositional reasoning about multi-objective queries in parametric probabilistic automata (pPA) - an extension to probabilistic automata (PA), where transition probabilities are functions…

Logic in Computer Science · Computer Science 2025-06-11 Hannah Mertens , Tim Quatmann , Joost-Pieter Katoen

Possibilistic logic, an extension of first-order logic, deals with uncertainty that can be estimated in terms of possibility and necessity measures. Syntactically, this means that a first-order formula is equipped with a possibility degree…

Artificial Intelligence · Computer Science 2013-02-28 Bernhard Hollunder

A central question in computer science and statistics is whether efficient algorithms can achieve the information-theoretic limits of statistical problems. Many computational-statistical tradeoffs have been shown under average-case…

Computational Complexity · Computer Science 2025-07-18 Guy Blanc , Caleb Koch , Carmen Strassle , Li-Yang Tan

Comprehensible explanations of probabilistic reasoning are a prerequisite for wider acceptance of Bayesian methods in expert systems and decision support systems. A study of human reasoning under uncertainty suggests two different…

Artificial Intelligence · Computer Science 2013-04-05 Max Henrion , Marek J. Druzdzel

This article belongs to a subject, Directed Algebraic Topology, whose general aim is including non-reversible processes in the range of topology and algebraic topology. Here, as a further step, we also want to cover "critical processes",…

Algebraic Topology · Mathematics 2024-01-30 Marco Grandis