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In this work we consider the task of constructing prediction intervals in an inductive batch setting. We present a discriminative learning framework which optimizes the expected error rate under a budget constraint on the interval sizes.…

Machine Learning · Computer Science 2018-02-28 Nir Rosenfeld , Yishay Mansour , Elad Yom-Tov

The problem of statistical inference in its various forms has been the subject of decades-long extensive research. Most of the effort has been focused on characterizing the behavior as a function of the number of available samples, with far…

Machine Learning · Computer Science 2024-11-12 Tomer Berg , Or Ordentlich , Ofer Shayevitz

In this paper, we investigate the possibility of improvement of the widely-used filtering algorithm for the linear constraints in constraint satisfaction problems in the presence of the alldifferent constraints. In many cases, the fact that…

Logic in Computer Science · Computer Science 2019-03-14 Milan Banković

Permutations of the positive integers avoiding arithmetic progressions of length $5$ were constructed in (Davis et al, 1977), implying the existence of permutations of the integers avoiding arithmetic progressions of length $7$. We…

Combinatorics · Mathematics 2018-03-19 Jesse Geneson

Recent breakthroughs in defenses against adversarial examples, like adversarial training, make the neural networks robust against various classes of attackers (e.g., first-order gradient-based attacks). However, it is an open question…

Machine Learning · Computer Science 2019-06-07 Shiqi Wang , Yizheng Chen , Ahmed Abdou , Suman Jana

This paper presents a graph-based learning approach to pairwise constraint propagation on multi-view data. Although pairwise constraint propagation has been studied extensively, pairwise constraints are usually defined over pairs of data…

Computer Vision and Pattern Recognition · Computer Science 2015-01-20 Zhiwu Lu , Liwei Wang

We introduce an effective algorithmic method for the computation of a lower bound for uniform expansion in one-dimensional dynamics. The approach employs interval arithmetic and thus provides a rigorous numerical result (computer-assisted…

Dynamical Systems · Mathematics 2026-01-28 Paweł Pilarczyk , Michał Palczewski , Stefano Luzzatto

We introduce the weighted CFG constraint and propose a propagation algorithm that enforces domain consistency in $O(n^3|G|)$ time. We show that this algorithm can be decomposed into a set of primitive arithmetic constraints without…

Artificial Intelligence · Computer Science 2009-09-25 George Katsirelos , Nina Narodytska , Toby Walsh

This paper draws on diverse areas of computer science to develop a unified view of computation: (1) Optimization in operations research, where a numerical objective function is maximized under constraints, is generalized from the numerical…

Artificial Intelligence · Computer Science 2013-02-11 A. Nait Abdallah , M. H. van Emden

Many existing global constraints can be encoded as a conjunction of among constraints. An among constraint holds if the number of the variables in its scope whose value belongs to a prespecified set, which we call its range, is within some…

Artificial Intelligence · Computer Science 2017-06-19 Victor Dalmau

Finding upper limits on the rate of events from a proposed process in the presence of unknown backgrounds is an often encountered problem in the search for rare processes. Methods based on unusually large "gaps", or spacings, in the event…

Data Analysis, Statistics and Probability · Physics 2023-03-17 Lolian Shtembari , Allen Caldwell

We show that several constraint propagation algorithms (also called (local) consistency, consistency enforcing, Waltz, filtering or narrowing algorithms) are instances of algorithms that deal with chaotic iteration. To this end we propose a…

Artificial Intelligence · Computer Science 2007-05-23 Krzysztof R. Apt

In this paper, we develop a new formulation of changeover constraints for mixed integer programming problem (MIP) that emerges in solving a short-term production scheduling problem. The new model requires fewer constraints than the original…

Optimization and Control · Mathematics 2014-08-28 Pavel A. Borisovsky , Anton V. Eremeev , Josef Kallrath

Symbolic regression via genetic programming is a flexible approach to machine learning that does not require up-front specification of model structure. However, traditional approaches to symbolic regression require the use of protected…

Neural and Evolutionary Computing · Computer Science 2017-04-18 Grant Dick

This paper presents a novel pairwise constraint propagation approach by decomposing the challenging constraint propagation problem into a set of independent semi-supervised learning subproblems which can be solved in quadratic time using…

Artificial Intelligence · Computer Science 2015-03-19 Zhiwu Lu , Horace H. S. Ip , Yuxin Peng

An integer program (IP) with a finite number of feasible solutions may have an unbounded linear programming relaxation if it contains irrational parameters, due to implicit constraints enforced by the irrational numbers. We show that those…

Optimization and Control · Mathematics 2024-02-13 Seyedmohammadhossein Hosseinian , Andrew J. Schaefer

This paper introduces a declarative framework to specify and reason about distributions of data over computing nodes in a distributed setting. More specifically, it proposes distribution constraints which are tuple and equality generating…

Databases · Computer Science 2020-03-03 Gaetano Geck , Frank Neven , Thomas Schwentick

Two non-intrusive uncertainty propagation approaches are proposed for the performance analysis of engineering systems described by expensive-to-evaluate deterministic computer models with parameters defined as interval variables. These…

Signal Processing · Electrical Eng. & Systems 2022-02-15 Alice Cicirello , Filippo Giunta

This paper presents a model and implementation techniques for speeding up constraint propagation. Three fundamental approaches to improving constraint propagation based on propagators as implementations of constraints are explored: keeping…

Artificial Intelligence · Computer Science 2010-09-03 Christian Schulte , Peter J. Stuckey

A widely adopted approach to solving constraint satisfaction problems combines systematic tree search with various degrees of constraint propagation for pruning the search space. One common technique to improve the execution efficiency is…

Logic in Computer Science · Computer Science 2007-05-23 Chiu Wo Choi , Jimmy Ho-Man Lee , Peter J. Stuckey