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We consider a fashion discounter distributing its many branches with integral multiples from a set of available lot-types. For the problem of approximating the branch and size dependent demand using those lots we propose a tailored exact…

Optimization and Control · Mathematics 2020-08-07 Miriam Kießling , Sascha Kurz , Jörg Rambau

Symmetry reduction is crucial for solving many interesting SAT instances in practice. Numerous approaches have been proposed, which try to strike a balance between symmetry reduction and computational overhead. Arguably the most readily…

Data Structures and Algorithms · Computer Science 2024-06-21 Markus Anders , Sofia Brenner , Gaurav Rattan

Finding interesting patterns is a challenging task in data mining. Constraint based mining is a well-known approach to this, and one for which constraint programming has been shown to be a well-suited and generic framework. Dominance…

Artificial Intelligence · Computer Science 2019-10-02 Gökberk Koçak , Özgür Akgün , Tias Guns , Ian Miguel

With the advent of the big data era, generative models of complex networks are becoming elusive from direct computational simulation. We present an exact, linear-algebraic reduction scheme of generative models of networks. By exploiting the…

Physics and Society · Physics 2019-09-19 Eugenio Valdano , Alex Arenas

Consider a subfield of the field of rational functions in several indeterminates. We present an algorithm that, given a set of generators of such a subfield, finds a simple generating set. We provide an implementation of the algorithm and…

Symbolic Computation · Computer Science 2026-03-06 Alexander Demin , Gleb Pogudin

The supersymmetric extensions of the Standard Model can tolerate quite a large hierarchy between various supersymmetry breaking terms, a good example being the models of split supersymmetry. However, theoretical models generating such a…

High Energy Physics - Phenomenology · Physics 2009-11-11 Z. Lalak , R. Matyszkiewicz

The present paper deals with the discrete inverse problem of reconstructing binary matrices from their row and column sums under additional constraints on the number and pattern of entries in specified minors. While the classical…

Data Structures and Algorithms · Computer Science 2017-02-22 Andreas Alpers , Peter Gritzmann

In this paper, a method is proposed to solve the problem of monotone smoothing splines using general linear systems. This problem, also called monotone control theoretic splines, has been solved only when the curve generator is modeled by…

Systems and Control · Computer Science 2013-08-08 Masaaki Nagahara , Clyde F. Martin

In this paper, we characterize planar point sets that can be partitioned into disjoint polygons of arbitrarily specified sizes. We provide an algorithm to construct such a partition, if it exists, in polynomial time. We show that this…

Computational Geometry · Computer Science 2016-05-19 Ajit Arvind Diwan , Bodhayan Roy

A great variety of fundamental optimization and counting problems arising in computer science, mathematics and physics can be reduced to one of the following computational tasks involving polynomials and set systems: given an $m$-variate…

Data Structures and Algorithms · Computer Science 2016-11-15 Damian Straszak , Nisheeth K. Vishnoi

The goal of this paper is to set a constraint programming framework to solve lot-sizing problems. More specifically, we consider a single-item lot-sizing problem with time-varying lower and upper bounds for production and inventory. The…

Optimization and Control · Mathematics 2019-07-05 Grigori German , Hadrien Cambazard , Jean-Philippe Gayon , Bernard Penz

Rationalization is to employ a generator and a predictor to construct a self-explaining NLP model in which the generator selects a subset of human-intelligible pieces of the input text to the following predictor. However, rationalization…

Machine Learning · Computer Science 2023-07-25 Wei Liu , Haozhao Wang , Jun Wang , Ruixuan Li , Xinyang Li , Yuankai Zhang , Yang Qiu

We introduce Generator Matching, a modality-agnostic framework for generative modeling using arbitrary Markov processes. Generators characterize the infinitesimal evolution of a Markov process, which we leverage for generative modeling in a…

Machine Learning · Computer Science 2025-02-28 Peter Holderrieth , Marton Havasi , Jason Yim , Neta Shaul , Itai Gat , Tommi Jaakkola , Brian Karrer , Ricky T. Q. Chen , Yaron Lipman

A program of wide interest in modern conformal bootstrap studies is to numerically solve general conformal field theories, based on a critical assumption that the dynamics is encoded in the conformal four-point crossing equations and…

High Energy Physics - Theory · Physics 2022-04-21 Zhijin Li

Symmetry in mathematical optimisation is of broad and current interest. In problem classes such as mixed-integer linear programming (MILP), equivalent solutions created by symmetric variables and constraints may combinatorially increase the…

Optimization and Control · Mathematics 2017-11-08 Georgia Kouyialis , Ruth Misener

Data pruning is the problem of identifying a core subset that is most beneficial to training and discarding the remainder. While pruning strategies are well studied for discriminative models like those used in classification, little…

Machine Learning · Computer Science 2025-03-17 Rania Briq , Jiangtao Wang , Stefan Kesselheim

We study the problem of determining whether a given temporal specification can be implemented by a symmetric system, i.e., a system composed from identical components. Symmetry is an important goal in the design of distributed systems,…

Logic in Computer Science · Computer Science 2017-10-17 Ruediger Ehlers , Bernd Finkbeiner

Cook and Reckhow 1979 pointed out that NP is not closed under complementation iff there is no propositional proof system that admits polynomial size proofs of all tautologies. Theory of proof complexity generators aims at constructing sets…

Computational Complexity · Computer Science 2024-06-12 Jan Krajicek

The problem of diagonalizing a class of complicated matrices, to be called ultrametric matrices, is investigated. These matrices appear at various stages in the description of disordered systems with many equilibrium phases by the technique…

Condensed Matter · Physics 2009-10-22 T. Temesvari , C De Dominicis , I. Kondor

The homomorphism problem for relational structures is an abstract way of formulating constraint satisfaction problems (CSP) and various problems in database theory. The decision version of the homomorphism problem received a lot of…

Computational Complexity · Computer Science 2009-02-10 Andrei A. Bulatov , Victor Dalmau , Martin Grohe , Daniel Marx
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