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We introduce statistical constraints, a declarative modelling tool that links statistics and constraint programming. We discuss two statistical constraints and some associated filtering algorithms. Finally, we illustrate applications to…

Artificial Intelligence · Computer Science 2014-09-09 Roberto Rossi , Steven Prestwich , S. Armagan Tarim

This article is concerned with the analysis of the one-dimensional compressible Euler equations with a singular pressure law, the so-called hard sphere equation of state. The result is twofold. First, we establish the existence of bounded…

Analysis of PDEs · Mathematics 2021-09-22 Roberta Bianchini , Charlotte Perrin

Optimization - minimization or maximization - in the lattice of subsets is a frequent operation in Artificial Intelligence tasks. Examples are subset-minimal model-based diagnosis, nonmonotonic reasoning by means of circumscription, or…

Artificial Intelligence · Computer Science 2016-12-23 Wolfgang Faber , Mauro Vallati , Federico Cerutti , Massimiliano Giacomin

Reducing hidden bias in the data and ensuring fairness in algorithmic data analysis has recently received significant attention. We complement several recent papers in this line of research by introducing a general method to reduce bias in…

Data Structures and Algorithms · Computer Science 2021-03-09 Aris Anagnostopoulos , Luca Becchetti , Adriano Fazzone , Cristina Menghini , Chris Schwiegelshohn

Domain generalization aims to train models on multiple source domains so that they can generalize well to unseen target domains. Among many domain generalization methods, Fourier-transform-based domain generalization methods have gained…

Image and Video Processing · Electrical Eng. & Systems 2023-12-14 Hongyi Pan , Bin Wang , Zheyuan Zhang , Xin Zhu , Debesh Jha , Ahmet Enis Cetin , Concetto Spampinato , Ulas Bagci

Chart constraints, which specify at which string positions a constituent may begin or end, have been shown to speed up chart parsers for PCFGs. We generalize chart constraints to more expressive grammar formalisms and describe a neural…

Computation and Language · Computer Science 2018-06-29 Stefan Grünewald , Sophie Henning , Alexander Koller

Certifying feasibility in decision-making, critical in many industries, can be framed as a constraint satisfaction problem. This paper focuses on characterising a subset of parameter values from an a priori set that satisfy constraints on a…

Systems and Control · Electrical Eng. & Systems 2025-11-14 Max Mowbray , Nilay Shah , Benoît Chachuat

Constraint Programming (CP) has been successfully applied to both constraint satisfaction and constraint optimization problems. A wide variety of specialized global constraints provide critical assistance in achieving a good model that can…

Artificial Intelligence · Computer Science 2007-05-23 Peter Tiedemann , Henrik Reif Andersen , Rasmus Pagh

We describe the use of array expressions as constraints, which represents a consequent generalisation of the "element" constraint. Constraint propagation for array constraints is studied theoretically, and for a set of domain reduction…

Programming Languages · Computer Science 2007-05-23 Sebastian Brand

We consider chance constrained optimization where it is sought to optimize a function while complying with constraints, both of which are affected by uncertainties. The high computational cost of realistic simulations strongly limits the…

Optimization and Control · Mathematics 2022-04-18 Julien Pelamatti , Rodolphe Le Riche , Céline Helbert , Christophette Blanchet-Scalliet

The increasing deployment of machine learning as well as legal regulations such as EU's GDPR cause a need for user-friendly explanations of decisions proposed by machine learning models. Counterfactual explanations are considered as one of…

Machine Learning · Computer Science 2020-08-04 André Artelt , Barbara Hammer

Many real-world datasets can be naturally represented as graphs, spanning a wide range of domains. However, the increasing complexity and size of graph datasets present significant challenges for analysis and computation. In response, graph…

Social and Information Networks · Computer Science 2024-07-02 Mohammad Hashemi , Shengbo Gong , Juntong Ni , Wenqi Fan , B. Aditya Prakash , Wei Jin

We propose a general algorithm of constructing an extended formulation for any given set of linear constraints with integer coefficients. Our algorithm consists of two phases: first construct a decision diagram $(V,E)$ that somehow…

Data Structures and Algorithms · Computer Science 2023-09-07 Yuta Kurokawa , Ryotaro Mitsuboshi , Haruki Hamasaki , Kohei Hatano , Eiji Takimoto , Holakou Rahmanian

We introduce globally normalized convolutional neural networks for joint entity classification and relation extraction. In particular, we propose a way to utilize a linear-chain conditional random field output layer for predicting entity…

Computation and Language · Computer Science 2018-08-08 Heike Adel , Hinrich Schütze

There are a number of approaches to testing General Relativity (GR) on linear scales using parameterized frameworks for modifying cosmological perturbation theory. It is sometimes assumed that the details of any given parameterization are…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Joe Zuntz , Tessa Baker , Pedro Ferreira , Constantinos Skordis

We suggest simple implementable modifications of conditional gradient and gradient projection methods for smooth convex optimization problems in Hilbert spaces. Usually, the custom methods attain only weak convergence. We prove strong…

Optimization and Control · Mathematics 2017-05-04 Igor Konnov

A brief review of some recent results on the global self-adjoint formulation of systems with boundaries is presented. We specialize to the 1-dimensional case and obtain a dynamical formulation of quantum confinement.

Mathematical Physics · Physics 2012-09-11 Nuno Costa Dias , João Nuno Prata

This article deals with the realisation of constraints in underdamped Langevin dynamics via soft-constrained dynamics. Specifically, we study systems with a large (or small) parameter that controls the constraint mechanisms, e.g. the…

Probability · Mathematics 2026-04-03 Carsten Hartmann , Lara Neureither , Upanshu Sharma

We consider the global rigidity problem for bar-joint frameworks where each vertex is constrained to lie on a particular line in $\mathbb R^d$. In our setting we allow multiple vertices to be constrained to the same line. Under a mild…

Provided a random realization of the cosmological model, observations of our cosmic neighborhood now allow us to build simulations of the latter down to the non-linear threshold. The resulting local Universe models are thus accurate up to a…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-10 Jenny G. Sorce