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We prove a nonlinear regularity principle in sequence spaces which produces universal estimates for special series defined therein. Some consequences are obtained and, in particular, we establish new inclusion theorems for multiple summing…

Classical Analysis and ODEs · Mathematics 2016-08-22 Daniel Pellegrino , Joedson Santos , Diana Serrano-Rodríguez , Eduardo V. Teixeira

When data contains measurement errors, it is necessary to make assumptions relating the observed, erroneous data to the unobserved true phenomena of interest. These assumptions should be justifiable on substantive grounds, but are often…

Machine Learning · Statistics 2020-12-24 Noam Finkelstein , Roy Adams , Suchi Saria , Ilya Shpitser

We propose a generalization of Categorial Grammar in which lexical categories are defined by means of recursive constraints. In particular, the introduction of relational constraints allows one to capture the effects of (recursive) lexical…

cmp-lg · Computer Science 2008-02-03 Gosse Bouma , Gertjan van Noord

Many dimension reduction techniques have been developed for independent data, and most have also been extended to time series. However, these methods often fail to account for the dynamic dependencies both within and across series. In this…

Methodology · Statistics 2025-09-25 Daniel Peña , Victor J. Yohai

In this paper, we propose a constraint-based modeling approach for the problem of discovering frequent gradual patterns in a numerical dataset. This SAT-based declarative approach offers an additional possibility to benefit from the recent…

Artificial Intelligence · Computer Science 2019-03-21 Jerry Lonlac , Saïdd Jabbour , Engelbert Mephu Nguifo , Lakhdar Saïs , Badran Raddaoui

Constraint Handling Rules provide descriptions for constraint solvers. However, they fall short when those constraints specify some binding structure, like higher-rank types in a constraint-based type inference algorithm. In this paper, the…

Logic in Computer Science · Computer Science 2017-07-11 Alejandro Serrano , Jurriaan Hage

A time series represents a set of observations collected over time. Typically, these observations are captured with a uniform sampling frequency (e.g. daily). When data points are observed in uneven time intervals the time series is…

Machine Learning · Computer Science 2022-01-03 Pedro Costa , Vitor Cerqueira , João Vinagre

In this paper we develop combinatorial techniques for the case of string algebras with the aim to give a characterization of string complexes with infinite minimal projective resolution. These complexes will be called \textit{periodic…

Representation Theory · Mathematics 2020-06-26 Andrés Franco , Hernán Giraldo , Pedro Rizzo

We introduce regular graph constraints and explore their decidability properties. The motivation for regular graph constraints is 1) type checking of changing types of objects in the presence of linked data structures, 2) shape analysis…

Programming Languages · Computer Science 2007-05-23 Viktor Kuncak , Martin Rinard

Domain-specific constraint patterns are introduced, which form the counterpart to design patterns in software engineering for the constraint programming setting. These patterns describe the expert knowledge and best-practice solution to…

Software Engineering · Computer Science 2022-06-07 Sophia Saller , Jana Koehler

In this note, we show how to obtain a "characteristic power series" of graphons -- infinite limits of dense graphs -- as the limit of normalized reciprocal characteristic polynomials. This leads to a new characterization of graph…

Combinatorics · Mathematics 2022-09-20 Joshua N. Cooper

We study linear regressions in a context where the outcome of interest and some of the covariates are observed in two different datasets that cannot be matched. Traditional approaches obtain point identification by relying, often…

Econometrics · Economics 2025-11-18 Xavier D'Haultfoeuille , Christophe Gaillac , Arnaud Maurel

When knowledge is obtained from a database, it is only possible to deduce confidence intervals for probability values. With confidence intervals replacing point values, the results in the set covering model include interval constraints for…

Artificial Intelligence · Computer Science 2013-04-10 Richard E. Neapolitan , James Kenevan

We provide a completely new relation between curvature bounds and definiteness of the causal character of maximizers by exploiting the robust notion of synthetic curvature. This enables us to relate low-regularity inextendibility of…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Tobias Beran , John Harvey , Clemens Sämann

The modeling of time series is becoming increasingly critical in a wide variety of applications. Overall, data evolves by following different patterns, which are generally caused by different user behaviors. Given a time series, we define…

Machine Learning · Computer Science 2022-07-13 Wenjie Hu , Jianping Huang , Liang Wu , Yang Yang , Zongtao Liu , Zhanlin Sun , Bingshen Yao , Ke Chen

We study ratio limits of the consecutive terms of weighted $n$-generalized Fibonacci sequences generated from arbitrary complex initial conditions by linear recurrences with arbitrary complex weights. We prove that if the characteristic…

Number Theory · Mathematics 2016-04-11 Igor Szczyrba

Some metric and graphical regularity properties of generalized constraint systems are investigated. Then, these properties are applied in order to penalize (in the sense of Clarke) various scalar and vector optimization problems. This…

Optimization and Control · Mathematics 2011-11-08 Marius Durea , Radu Strugariu

In this paper, we introduce a set of tools for providing user-friendly explanations in an explanation-based constraint programming system. The idea is to represent the constraints of a problem as an hierarchy (a tree). Users are then…

Programming Languages · Computer Science 2007-05-23 Narendra Jussien , Samir Ouis

Recently, research efforts have gained pace to cater to varied user preferences while generating text summaries. While there have been attempts to incorporate a few handpicked characteristics such as length or entities, a holistic view…

Computation and Language · Computer Science 2019-12-19 Kushal Chawla , Hrituraj Singh , Arijit Pramanik , Mithlesh Kumar , Balaji Vasan Srinivasan

This paper presents a general framework for estimating high-dimensional conditional latent factor models via constrained nuclear norm regularization. We establish large sample properties of the estimators and provide efficient algorithms…

Econometrics · Economics 2025-12-09 Qihui Chen