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Refinement transforms an abstract system model into a concrete, executable program, such that properties established for the abstract model carry over to the concrete implementation. Refinement has been used successfully in the development…

Logic in Computer Science · Computer Science 2021-10-27 Aurel Bílý , Christoph Matheja , Peter Müller

Tree kernels have been proposed to be used in many areas as the automatic learning of natural language applications. In this paper, we propose a new linear time algorithm based on the concept of weighted tree automata for SubTree kernel…

Computation and Language · Computer Science 2023-02-03 Ludovic Mignot , Faissal Ouardi , Djelloul Ziadi

We present a disambiguation algorithm for weighted automata. The algorithm admits two main stages: a pre-disambiguation stage followed by a transition removal stage. We give a detailed description of the algorithm and the proof of its…

Formal Languages and Automata Theory · Computer Science 2014-05-06 Mehryar Mohri , Michael D. Riley

With the increasing penetration of machine learning applications in critical decision-making areas, calls for algorithmic fairness are more prominent. Although there have been various modalities to improve algorithmic fairness through…

Machine Learning · Computer Science 2024-05-21 Zhihao Hu , Yiran Xu , Mengnan Du , Jindong Gu , Xinmei Tian , Fengxiang He

This paper studies chance-constrained stochastic optimization problems with finite support. It presents an iterative method that solves reduced-size chance-constrained models obtained by partitioning the scenario set. Each reduced problem…

Optimization and Control · Mathematics 2024-11-26 Marius Roland , Alexandre Forel , Thibaut Vidal

We propose a generic variance-reduced algorithm, which we call MUltiple RANdomized Algorithm (MURANA), for minimizing a sum of several smooth functions plus a regularizer, in a sequential or distributed manner. Our method is formulated with…

Optimization and Control · Mathematics 2023-03-07 Laurent Condat , Peter Richtárik

Coalgebraic bisimilarity minimization generalizes classical automaton minimization to a large class of automata whose transition structure is specified by a functor, subsuming strong, weighted, and probabilistic bisimilarity. This offers…

Formal Languages and Automata Theory · Computer Science 2022-11-18 Jules Jacobs , Thorsten Wißmann

Designers of statistical machine translation (SMT) systems have begun to employ tree-structured translation models. Systems involving tree-structured translation models tend to be complex. This article aims to reduce the conceptual…

Computation and Language · Computer Science 2007-05-23 I. Dan Melamed , Wei Wang

This article presents the first mixed-integer linear programming (MILP)-based iterative algorithm to solve factorable mixed-integer nonlinear programs (MINLPs) with bounded, differentiable periodic functions to global optimality with an…

Optimization and Control · Mathematics 2025-10-01 Christopher Montez , Sujeevraja Sanjeevi , Kaarthik Sundar

We initiate a systematic study of utilizing predictions to improve over approximation guarantees of classic algorithms, without increasing the running time. We propose a systematic method for a wide class of optimization problems that ask…

Data Structures and Algorithms · Computer Science 2024-11-26 Antonios Antoniadis , Marek Eliáš , Adam Polak , Moritz Venzin

In tree based adaptive mesh refinement, elements are partitioned between processes using a space filling curve. The curve establishes an ordering between all elements that derive from the same root element, the tree. When representing more…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-10 Carsten Burstedde , Johannes Holke

The finite element method can be viewed as a machine that automates the discretization of differential equations, taking as input a variational problem, a finite element and a mesh, and producing as output a system of discrete equations.…

Numerical Analysis · Mathematics 2011-12-05 Anders Logg

We present an efficient algorithm to reduce the size of nondeterministic tree automata, while retaining their language. It is based on new transition pruning techniques, and quotienting of the state space w.r.t. suitable equivalences. It…

Formal Languages and Automata Theory · Computer Science 2016-01-07 Ricardo Almeida , Lukáš Holík , Richard Mayr

We provide time lower bounds for sequential and parallel algorithms deciding bisimulation on labeled transition systems that use partition refinement. For sequential algorithms this is $\Omega((m \mkern1mu {+} \mkern1mu n ) \mkern-1mu \log…

Logic in Computer Science · Computer Science 2024-02-14 Jan Friso Groote , Jan Martens , Erik. P. de Vink

Bounded linear types have proved to be useful for automated resource analysis and control in functional programming languages. In this paper we introduce an affine bounded linear typing discipline on a general notion of resource which can…

Programming Languages · Computer Science 2013-07-10 Dan R. Ghica , Alex Smith

Performance is one of the most important qualities of software. Several techniques have thus been proposed to improve it, such as program transformations, optimisation of software parameters, or compiler flags. Many automated software…

Software Engineering · Computer Science 2022-08-05 Aymeric Blot , Justyna Petke

We argue for supplementing the process of training a prediction algorithm by setting up a scheme for detecting the moment when the distribution of the data changes and the algorithm needs to be retrained. Our proposed schemes are based on…

Machine Learning · Computer Science 2021-02-23 Vladimir Vovk , Ivan Petej , Ilia Nouretdinov , Ernst Ahlberg , Lars Carlsson , Alex Gammerman

In this paper we present a simple partitioning based technique to refine the statistical analysis of classification algorithms. The core of our idea is to divide the input space into two parts such that the first part contains a suitable…

Statistics Theory · Mathematics 2018-03-06 Ingrid Blaschzyk , Ingo Steinwart

This paper studies the algorithms for the minimisation of weighted automata. It starts with the definition of morphisms-which generalises and unifies the notion of bisimulation to the whole class of weighted automata-and the unicity of a…

Discrete Mathematics · Computer Science 2023-06-22 Sylvain Lombardy , Jacques Sakarovitch

We present an algorithm that enumerates all the minimal triangulations of a graph in incremental polynomial time. Consequently, we get an algorithm for enumerating all the proper tree decompositions, in incremental polynomial time, where…

Data Structures and Algorithms · Computer Science 2023-07-28 Nofar Carmeli , Batya Kenig , Benny Kimelfeld , Markus Kröll