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We present a very general approach to learning the structure of causal models based on d-separation constraints, obtained from any given set of overlapping passive observational or experimental data sets. The procedure allows for both…

Artificial Intelligence · Computer Science 2013-09-27 Antti Hyttinen , Patrik O. Hoyer , Frederick Eberhardt , Matti Jarvisalo

Generalized counting constraint satisfaction problems include Holant problems with planarity restrictions; polynomial-time algorithms for such problems include matchgates and matchcircuits, which are based on Pfaffians. In particular, they…

Category Theory · Mathematics 2015-10-08 Jason Morton , Jacob Turner

A wide range of problems can be modelled as constraint satisfaction problems (CSPs), that is, a set of constraints that must be satisfied simultaneously. Constraints can either be represented extensionally, by explicitly listing allowed…

Artificial Intelligence · Computer Science 2015-02-10 Evgenij Thorstensen

When writing a constraint program, we have to choose which variables should be the decision variables, and how to represent the constraints on these variables. In many cases, there is considerable choice for the decision variables.…

Artificial Intelligence · Computer Science 2011-07-04 B. Hnich , B. M. Smith , T. Walsh

Control design for general nonlinear robotic systems with guaranteed stability and/or safety in the presence of model uncertainties is a challenging problem. Recent efforts attempt to learn a controller and a certificate (e.g., a Lyapunov…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Vivek Sharma , Pan Zhao , Naira Hovakimyan

We describe an algorithm for proving termination of programs abstracted to systems of monotonicity constraints in the integer domain. Monotonicity constraints are a non-trivial extension of the well-known size-change termination method.…

Logic in Computer Science · Computer Science 2011-08-01 Michael Codish , Igor Gonopolskiy , Amir M. Ben-Amram , Carsten Fuhs , Jürgen Giesl

Set constraints provide a highly general way to formulate program analyses. However, solving arbitrary boolean combinations of set constraints is NEXPTIME-hard. Moreover, while theoretical algorithms to solve arbitrary set constraints…

Programming Languages · Computer Science 2020-03-03 Joseph Eremondi

We generalize recent results on the monotonicity method, for inclusion detection in the partial data anisotropic Calder\'on problem, to very general non-self-adjoint perturbations. This involves a forward model that accounts for both the…

Analysis of PDEs · Mathematics 2026-05-07 Henrik Garde , David Johansson , Thanasis Zacharopoulos

The reliance of Large Language Models and Internet of Things systems on massive, globally distributed data flows creates systemic security and privacy challenges. When data traverses borders, it becomes subject to conflicting legal regimes,…

Cryptography and Security · Computer Science 2026-01-13 Chalitha Handapangoda

This primary purpose of this paper is to succinctly state a number of verifiable and tractable sufficient conditions under which a particular class of conservative signal processing structures may be readily used to solve a companion class…

Numerical Analysis · Computer Science 2015-10-20 Tarek A. Lahlou , Thomas A. Baran

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

To model combinatorial decision problems involving uncertainty and probability, we introduce stochastic constraint programming. Stochastic constraint programs contain both decision variables (which we can set) and stochastic variables…

Artificial Intelligence · Computer Science 2009-03-09 Toby Walsh

In this paper, we focus on the problem about direct way to design a stable controller for nonlinear system. A framework of learning controller with Lyapunov-based constraint is proposed, which is intended to transform designing and analyis…

Systems and Control · Computer Science 2019-03-11 Me Le , Chi Yanxun , Li Zhiwei , Xu Dongfu , Zhang Yulong

Multinomial processing tree (MPT) models are tools for disentangling the contributions of latent cognitive processes in a given experimental paradigm. The present note analyzes MPT models subject to order constraints on subsets of its…

Applications · Statistics 2014-11-11 Karl Christoph Klauer , Henrik Singmann , David Kellen

Enforcing safety for dynamical systems is challenging, since it requires constraint satisfaction along trajectory predictions. Equivalent control constraints can be computed in the form of sets that enforce positive invariance, and can thus…

Systems and Control · Electrical Eng. & Systems 2021-05-19 Pierre-François Massiani , Steve Heim , Sebastian Trimpe

The exponential explosion of the set of patterns is one of the main challenges in pattern mining. This challenge is approached by introducing a constraint for pattern selection. One of the first constraints proposed in pattern mining is…

Artificial Intelligence · Computer Science 2017-03-29 Aleksey Buzmakov , Sergei O. Kuznetsov , Amedeo Napoli

We develop the theory and practice of an approach to modelling and probabilistic inference in causal networks that is suitable when application-specific or analysis-specific constraints should inform such inference or when little or no data…

Artificial Intelligence · Computer Science 2017-05-16 Paul Beaumont , Michael Huth

This paper introduces a new approach to generating strongly constrained texts. We consider standardized sentence generation for the typical application of vision screening. To solve this problem, we formalize it as a discrete combinatorial…

Artificial Intelligence · Computer Science 2023-09-25 Alexandre Bonlarron , Aurélie Calabrèse , Pierre Kornprobst , Jean-Charles Régin

We give new proofs for the hardness amplification of efficiently samplable predicates and of weakly verifiable puzzles which generalize to new settings. More concretely, in the first part of the paper, we give a new proof of Yao's XOR-Lemma…

Cryptography and Security · Computer Science 2010-12-30 Thomas Holenstein , Grant Schoenebeck

Typestate systems ensure many desirable properties of imperative programs, including initialization of object fields and correct use of stateful library interfaces. Abstract sets with cardinality constraints naturally generalize typestate…

Programming Languages · Computer Science 2013-02-14 Bruno Marnette , Viktor Kuncak , Martin Rinard