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Nonlinear systems are capable of displaying complex behavior even if this is the result of a small number of interacting time scales. A widely studied case is when complex dynamics emerges out of a nonlinear system being forced by a simple…

Quantitative Methods · Quantitative Biology 2015-06-01 Leandro M. Alonso

Time series often reflect variation associated with other related variables. Controlling for the effect of these variables is useful when modeling or analysing the time series. We introduce a novel approach to normalize time series data…

We introduce a notion of compatibility between constraint encoding and compositional structure. Phrased in the language of category theory, it is given by a "composable constraint encoding". We show that every composable constraint encoding…

Category Theory · Mathematics 2021-12-14 Matt Wilson , Augustin Vanrietvelde

We propose and analyze a regularization approach for structured prediction problems. We characterize a large class of loss functions that allows to naturally embed structured outputs in a linear space. We exploit this fact to design…

Machine Learning · Computer Science 2017-07-31 Carlo Ciliberto , Alessandro Rudi , Lorenzo Rosasco

In this paper, our objective is to present a constraining principle governing the spectral properties of the sample covariance matrix. This principle exhibits harmonious behavior across diverse limiting frameworks, eliminating the need for…

Statistics Theory · Mathematics 2024-01-03 Yanqing Yin

This paper is devoted to general balance laws (with a possibly non local source term) with a non-characteristic boundary. Basic well posedness results are obtained, trying to provide sharp estimates. In particular, bounds tend to blow up as…

Analysis of PDEs · Mathematics 2008-10-30 Rinaldo M. Colombo , Graziano Guerra

Spoken language applications in natural dialogue settings place serious requirements on the choice of processing architecture. Especially under adverse phonetic and acoustic conditions parsing procedures have to be developed which do not…

cmp-lg · Computer Science 2008-02-03 Wolfgang Menzel

We present a new approach to enhancing Answer Set Programming (ASP) with Constraint Processing techniques which allows for solving interesting Constraint Satisfaction Problems in ASP. We show how constraints on finite domains can be…

Logic in Computer Science · Computer Science 2010-07-26 Christian Drescher , Toby Walsh

Data is essential to performing time series analysis utilizing machine learning approaches, whether for classic models or today's large language models. A good time-series dataset is advantageous for the model's accuracy, robustness, and…

Machine Learning · Computer Science 2024-04-29 Chenxi Sun , Hongyan Li , Yaliang Li , Shenda Hong

We provide a characterization of r-regular sets in terms of the Lipschitz regularity of normal vector fields to the boundary.

Differential Geometry · Mathematics 2014-02-20 Pedro Duarte , Maria Joana Torres

The shapelet transform is a form of feature extraction for time series, in which a time series is described by its similarity to each of a collection of `shapelets'. However it has previously suffered from a number of limitations, such as…

Machine Learning · Computer Science 2020-06-01 Patrick Kidger , James Morrill , Terry Lyons

A useful approach for analysing multiple time series is via characterising their spectral density matrix as the frequency domain analog of the covariance matrix. When the dimension of the time series is large compared to their length,…

Statistics Theory · Mathematics 2018-10-29 Mark Fiecas , Chenlei Leng , Weidong Liu , Yi Yu

Most scripting languages nowadays use regex pattern-matching libraries. These regex libraries borrow the syntax of regular expressions, but have an informal semantics that is different from the semantics of regular expressions, removing the…

Formal Languages and Automata Theory · Computer Science 2014-02-17 Sérgio Medeiros , Fabio Mascarenhas , Roberto Ierusalimschy

Error bounds are a requisite for trusting or distrusting solutions in an informed way. Until recently, provable error bounds in the absence of constraint qualifications were unattainable for many classes of cones that do not admit…

Optimization and Control · Mathematics 2024-07-19 Ying Lin , Scott B. Lindstrom , Bruno F. Lourenço , Ting Kei Pong

Characteristic formulae give a complete logical description of the behaviour of processes modulo some chosen notion of behavioural semantics. They allow one to reduce equivalence or preorder checking to model checking, and are exactly the…

Logic in Computer Science · Computer Science 2024-11-14 Luca Aceto , Antonis Achilleos , Aggeliki Chalki , Anna Ingolfsdottir

Here we define a new unification algorithm for terms interpreted in semantic domains denoted by a subclass of regular types here called deterministic regular types. This reflects our intention not to handle the semantic universe as a…

Logic in Computer Science · Computer Science 2025-02-14 João Barbosa , Mário Florido , Vítor Santos Costa

We address the problem of combining sequence models of symbolic music with user defined constraints. For typical models this is non-trivial as only the conditional distribution of each symbol given the earlier symbols is available, while…

Safety constraints are crucial to the development of mission-critical systems. The practice of developing software for systems of this type requires reliable methods for identifying and analysing project artefacts. This paper proposes a…

Logic in Computer Science · Computer Science 2020-05-15 Grygoriy Zholtkevych , Maksym Labzhaniia

Constraint programming is a family of techniques for solving combinatorial problems, where the problem is modelled as a set of decision variables (typically with finite domains) and a set of constraints that express relations among the…

Artificial Intelligence · Computer Science 2016-05-31 James Caldwell , Ian P. Gent , Peter Nightingale

A natural and established way to restrict the constraint satisfaction problem is to fix the relations that can be used to pose constraints; such a family of relations is called a constraint language. In this article, we study arc…

Artificial Intelligence · Computer Science 2011-04-27 Hubie Chen , Victor Dalmau , Berit Grußien
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