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Utilitarian algorithm configuration is a general-purpose technique for automatically searching the parameter space of a given algorithm to optimize its performance, as measured by a given utility function, on a given set of inputs. Recently…

Artificial Intelligence · Computer Science 2025-02-18 Devon Graham , Kevin Leyton-Brown

We explore the idea of using automatic and similar kind of presentations of structures to deal with the conceptual problem of natural proof-theoretic ordinal notations. We conclude that this approach still does not meet the goals.

Logic · Mathematics 2024-07-16 Lev D. Beklemishev , Fedor N. Pakhomov

This paper introduces an abductive framework for updating knowledge bases represented by extended disjunctive programs. We first provide a simple transformation from abductive programs to update programs which are logic programs specifying…

Databases · Computer Science 2007-05-23 Chiaki Sakama , Katsumi Inoue

In this paper, we further consider the symmetry-based method for seeking nonlocally related systems for partial differential equations. In particular, we show that the symmetry-based method for partial differential equations is the natural…

Analysis of PDEs · Mathematics 2024-07-15 George W. Bluman , Rafael de la Rosa

Quantum replacer codes are codes that can be protected from errors induced by a given set of quantum replacer channels, an important class of quantum channels that includes the erasures of subsets of qubits that arise in quantum error…

Quantum Physics · Physics 2025-12-23 Eric Chitambar , Sarah Hagen , David W. Kribs , Mike I. Nelson , Andrew Nemec

We analyze combinatorial optimization problems with ordinal, i.e., non-additive, objective functions that assign categories (like good, medium and bad) rather than cost coefficients to the elements of feasible solutions. We review different…

Optimization and Control · Mathematics 2022-04-06 Kathrin Klamroth , Michael Stiglmayr , Julia Sudhoff

We survey our results about verification of adaptable processes. We present adaptable processes as a way of overcoming the limitations that process calculi have for describing patterns of dynamic process evolution. Such patterns rely on…

Logic in Computer Science · Computer Science 2015-12-25 Mario Bravetti

Structural decomposition methods, such as generalized hypertree decompositions, have been successfully used for solving constraint satisfaction problems (CSPs). As decompositions can be reused to solve CSPs with the same constraint scopes,…

Artificial Intelligence · Computer Science 2022-09-22 Georg Gottlob , Matthias Lanzinger , Davide Mario Longo , Cem Okulmus

Superposition is an established decision procedure for a variety of first-order logic theories represented by sets of clauses. A satisfiable theory, saturated by superposition, implicitly defines a minimal term-generated model for the…

Artificial Intelligence · Computer Science 2009-11-30 Matthias Horbach , Christoph Weidenbach

The paper describes development (improvement/extension) approaches for composite (modular) systems (as combinatorial reengineering). The following system improvement/extension actions are considered: (a) improvement of systems component(s)…

Artificial Intelligence · Computer Science 2013-04-19 Mark Sh. Levin

This paper describes a generalization of Clark's completion that is applicable to logic programs containing arithmetic operations and produces syntactically simple, natural looking formulas. If a set of first-order axioms is equivalent to…

Logic in Computer Science · Computer Science 2023-05-25 Vladimir Lifschitz

Using qualitative reasoning with geographic information, contrarily, for instance, with robotics, looks not only fastidious (i.e.: encoding knowledge Propositional Logics PL), but appears to be computational complex, and not tractable at…

Artificial Intelligence · Computer Science 2007-05-23 Omar Doukari , Robert Jeansoulin

Updating a probability distribution in the light of new evidence is a very basic operation in Bayesian probability theory. It is also known as state revision or simply as conditioning. This paper recalls how locally updating a joint state…

Logic in Computer Science · Computer Science 2019-01-30 Bart Jacobs

Many random combinatorial objects have a component structure whose joint distribution is equal to that of a process of mutually independent random variables, conditioned on the value of a weighted sum of the variables. It is interesting to…

Probability · Mathematics 2013-08-16 Richard Arratia , Simon Tavare

A method for selecting solution constructors in narrowing is presented. The method is based on a sort discipline that describes regular sets of ground constructor terms as sorts. It is extended to cope with regular sets of ground…

Formal Languages and Automata Theory · Computer Science 2019-04-19 Jochen Burghardt

Adaptive filters exploiting sparsity have been a very active research field, among which the algorithms that follow the "proportional-update principle", the so-called proportionate-type algorithms, are very popular. Indeed, there are…

Machine Learning · Computer Science 2021-08-17 Markus V. S. Lima , Gabriel S. Chaves , Tadeu N. Ferreira , Paulo S. R. Diniz

A standard quadratic program is an optimization problem that consists of minimizing a (nonconvex) quadratic form over the unit simplex. We focus on reformulating a standard quadratic program as a mixed integer linear programming problem. We…

Optimization and Control · Mathematics 2018-10-05 Jacek Gondzio , E. Alper Yildirim

In many applications, e.g., recommender systems and traffic monitoring, the data comes in the form of a matrix that is only partially observed and low rank. A fundamental data-analysis task for these datasets is matrix completion, where the…

Machine Learning · Computer Science 2017-05-02 Natali Ruchansky , Mark Crovella , Evimaria Terzi

In this paper we study two operations, Pasting and Reversing, defined from a natural way to be applied over some rings such as the ring of polynomials and the ring of linear differential operators, which is a differential ring. We obtain…

History and Overview · Mathematics 2011-02-02 Primitivo B. Acosta-Humanez , Adriana Lorena Chuquen , Angela Mariette Rodriguez

We employ the notions of `sequential function' and `interrogation' (dialogue) in order to define new partial combinatory algebra structures on sets of functions. These structures are analyzed using J. Longley's preorder-enriched category of…

Logic · Mathematics 2009-05-19 Jaap van Oosten