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First this report presents a restricted set of finite transducers used to synthesise structural time-series constraints described by means of a multi-layered function composition scheme. Second it provides the corresponding synthesised…

Geometric modeling by constraints, whose applications are of interest to communities from various fields such as mechanical engineering, computer aided design, symbolic computation or molecular chemistry, is now integrated into standard…

Computational Geometry · Computer Science 2018-03-06 Samy Ait-Aoudia , Adel Moussaoui , Khaled Abid , Dominique Michelucci

We develop a linear-algebraic framework for dimensional analysis in systems with constraints, particularly when variables are numerous or related by implicit relations so that direct elimination is impractical. By expressing both…

Mathematical Physics · Physics 2026-03-31 Umpei Miyamoto

Dynamical systems, described by Lagrangians with first- and second-class constraints, are investigated. In the Dirac approach to the generalized Hamiltonian formalism, the classification and separation of the first- and second-class…

High Energy Physics - Theory · Physics 2007-05-23 S. A. Gogilidze , Yu. S. Surovtsev

In this paper we consider finite-dimensional constrained Hamiltonian systems of polynomial type. In order to compute the complete set of constraints and separate them into the first and second classes we apply the modern algorithmic methods…

Numerical Analysis · Mathematics 2025-10-20 Vladimir P. Gerdt , Soso A. Gogilidze

An inductive theorem proving method for constrained term rewriting systems, which is based on rewriting induction, needs a decision procedure for reduction-completeness of constrained terms. In addition, the sufficient complete property of…

Formal Languages and Automata Theory · Computer Science 2013-11-25 Naoki Nishida , Masahiko Sakai , Yasuhiro Nakano

I extend upon the paper by Batalin and Marnelius, in which they show how to construct and quantize a gauge theory from a Hamiltonian system with second class constraints. Among the avenues explored, their technique is analyzed in relation…

High Energy Physics - Theory · Physics 2007-05-23 Michael Chesterman

This paper describes a process for clustering concepts into chains from data presented randomly to an evaluating system. There are a number of rules or guidelines that help the system to determine more accurately what concepts belong to a…

Artificial Intelligence · Computer Science 2014-03-05 Kieran Greer

We discuss the problem of non abelian constrained systems and the origin of appearance of non abelian algebras. We show that it is possible, in principle, to change a non abelian system to an abelian one, at least locally. Our method is…

High Energy Physics - Theory · Physics 2014-02-13 M. Dehghani , A. Shirzad

Second-order superintegrable systems in dimensions two and three are essentially classified. With increasing dimension, however, the non-linear partial differential equations employed in current methods become unmanageable. Here we propose…

Differential Geometry · Mathematics 2025-05-09 Jonathan Kress , Konrad Schöbel , Andreas Vollmer

We address binary classification using neural ordinary differential equations from the perspective of simultaneous control of $N$ data points. We consider a single-neuron architecture with parameters fixed as piecewise constant functions of…

Optimization and Control · Mathematics 2025-04-18 Antonio Álvarez-López , Rafael Orive-Illera , Enrique Zuazua

We address the satisfiability problem for string constraints that combine relational constraints represented by transducers, word equations, and string length constraints. This problem is undecidable in general. Therefore, we propose a new…

Formal Languages and Automata Theory · Computer Science 2023-07-11 Parosh Aziz Abdulla , Mohamed Faouzi Atig Bui Phi Diep , Lukáš Holík , Petr Janků

It is shown that the phase space path integral for a system with arbitrary second class constraints (primary, secondary ...) can be rewritten as a configuration space path integral of the exponent of the Lagrangian action with some local…

High Energy Physics - Theory · Physics 2009-10-28 M. Henneaux , S. Slavnov

The goal of constraint-based sequence mining is to find sequences of symbols that are included in a large number of input sequences and that satisfy some constraints specified by the user. Many constraints have been proposed in the…

Artificial Intelligence · Computer Science 2015-02-26 Benjamin Negrevergne , Tias Guns

We study the complexity of constraint satisfaction problems involving global constraints, i.e., special-purpose constraints provided by a solver and represented implicitly by a parametrised algorithm. Such constraints are widely used;…

Artificial Intelligence · Computer Science 2013-07-11 David A. Cohen , Peter G. Jeavons , Evgenij Thorstensen , Stanislav Živný

The family of methods collectively known as classifier chains has become a popular approach to multi-label learning problems. This approach involves linking together off-the-shelf binary classifiers in a chain structure, such that class…

Machine Learning · Computer Science 2021-02-15 Jesse Read , Bernhard Pfahringer , Geoff Holmes , Eibe Frank

Clustering is a well-known unsupervised machine learning approach capable of automatically grouping discrete sets of instances with similar characteristics. Constrained clustering is a semi-supervised extension to this process that can be…

Machine Learning · Computer Science 2023-03-02 Germán González-Almagro , Daniel Peralta , Eli De Poorter , José-Ramón Cano , Salvador García

This paper tackles the problem of the existence of solutions for recursive systems of Horn clauses with second-order variables interpreted as integer relations, and harnessed by quantifier-free difference bounds arithmetic. We start by…

Formal Languages and Automata Theory · Computer Science 2016-02-16 Radu Iosif

In this paper we reformulate Abelian and non-Abelian noninvariant systems as gauge invariant theories using a new constraint conversion scheme, developed on the symplectic framework. This conversion method is not plagued by the ambiguity…

High Energy Physics - Theory · Physics 2007-05-23 J. Ananias Neto , A. C. R. Mendes , C. Neves , W. Oliveira , D. C. Rodrigues

Semi-supervised clustering methods incorporate a limited amount of supervision into the clustering process. Typically, this supervision is provided by the user in the form of pairwise constraints. Existing methods use such constraints in…

Machine Learning · Statistics 2016-09-26 Toon Van Craenendonck , Hendrik Blockeel