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In this paper, we propose an incremental algorithm for computing cylindrical algebraic decompositions. The algorithm consists of two parts: computing a complex cylindrical tree and refining this complex tree into a cylindrical tree in real…

Symbolic Computation · Computer Science 2012-10-23 Changbo Chen , Marc Moreno Maza

We introduce refinement in the function-behaviour-structure framework for design, as described by John Gero, in order to deal with complexity. We do this by connecting the frameworks for the design of two models, one the refinement of the…

Software Engineering · Computer Science 2015-04-03 Bob Diertens

Complex system design often proceeds in an iterative fashion, starting from a high-level model and adding detail as the design matures. This process can be assisted by metamodeling techniques that automate some model manipulations and check…

Systems and Control · Electrical Eng. & Systems 2019-10-10 Natasha Jarus , Sahra Sedigh Sarvestani , Ali R. Hurson

This text investigates relations between two well-known family of algorithms, matrix factorisations and recursive linear filters, by describing a probabilistic model in which approximate inference corresponds to a matrix factorisation…

Machine Learning · Statistics 2015-09-08 Ömer Deniz Akyıldız

The persistent homology pipeline includes the reduction of a, so-called, boundary matrix. We extend the work of Bauer et al. (2014) and Chen et al. (2011) where they show how to use dependencies in the boundary matrix to adapt the reduction…

Algebraic Topology · Mathematics 2017-08-17 Rodrigo Mendoza-Smith , Jared Tanner

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 2023-11-27 Aurel Bílý , João C. Pereira , Jan Schär , Peter Müller

On the topic of probabilistic rewriting, there are several works studying both termination and confluence of different systems. While working with a lambda calculus modelling quantum computation, we found a system with probabilistic…

Logic in Computer Science · Computer Science 2022-04-11 Rafael Romero , Alejandro Díaz-Caro

Particle and ensemble filters are increasingly utilized for inference, optimization, and forecast; however, both filtering methods use discrete distributions to simulate continuous state space, a drawback that can lead to degraded…

Methodology · Statistics 2014-03-27 Wan Yang , Jeffrey Shaman

It is well established that formulating an effective constraint model of a problem of interest is crucial to the efficiency with which it can subsequently be solved. Following from the observation that it is difficult, if not impossible, to…

Artificial Intelligence · Computer Science 2023-11-21 Ian Miguel , András Z. Salamon , Christopher Stone

This work provides a new multinomial resampling procedure for particle filter resampling, focused on the case where the number of samples required is less than or equal to the size of the underlying discrete distribution. This setting is…

Data Structures and Algorithms · Computer Science 2026-04-03 Andrey A. Popov

Type qualifiers offer a lightweight mechanism for enriching existing type systems to enforce additional, desirable, program invariants. They do so by offering a restricted but effective form of subtyping. While the theory of type qualifiers…

Programming Languages · Computer Science 2024-02-27 Edward Lee , Yaoyu Zhao , James You , Kavin Satheeskumar , Ondřej Lhoták , Jonathan Brachthäuser

We present a general theory of fractal transformations and show how it leads to a new type of method for filtering and transforming digital images. This work substantially generalizes earlier work on fractal tops. The approach involves…

Geometric Topology · Mathematics 2011-02-17 Michael F. Barnsley , Brendan Harding , Konstantin Igudesman

In a Systems Engineering setting, various models are produced using a variety of methods and tools. Focusing on a type of models -- called descriptive models -- which we shall describe, we argue that, while the clarity and precision of…

Systems and Control · Electrical Eng. & Systems 2022-07-29 Freddy Kamdem Simo , Dominique Ernadote , Dominique Lenne

Enterprise applications are often built as service-oriented architectures, where the individual services are designed to perform specific functions and interact with each other by means of well-defined APIs (Application Programming…

Software Engineering · Computer Science 2024-07-11 Fabrizio Montesi , Marco Peressotti , Valentino Picotti , Olaf Zimmermann

The analysis of industrial processes, modelled as descriptor systems, is often computationally hard due to the presence of both algebraic couplings and difference equations of high order. In this paper, we introduce a control refinement…

Systems and Control · Computer Science 2017-04-07 Fei Chen , Sofie Haesaert , Alessandro Abate , Siep Weiland

To refactor already working code while keeping reliability, compatibility and perhaps security, we can borrow ideas from micropass/nanopass compilers. By treating the procedure of software refactoring as composing code transformations, and…

Software Engineering · Computer Science 2023-08-15 Yu Liu

When scripts in untyped languages grow into large programs, maintaining them becomes difficult. A lack of explicit type annotations in typical scripting languages forces programmers to must (re)discover critical pieces of design information…

Programming Languages · Computer Science 2011-06-15 Sam Tobin-Hochstadt , Matthias Felleisen

Relative correctness is the property of a program to be more-correct than another program with respect to a given specification. Among the many properties of relative correctness, that which we found most intriguing is the property that…

Logic in Computer Science · Computer Science 2016-06-08 Nafi Diallo , Wided Ghardallou , Jules Desharnais , Ali Mili

This paper analyses the feasible sets structure of general mixed integer linear programs (MIPs) and its relationship with the existence of a finite cardinality test set which can be applied in augmentation algorithms. We derive and…

Optimization and Control · Mathematics 2025-09-30 Justo Puerto , Jose A. Ruiz-Alba

Decisions on which classes to refactor are fraught with difficulty. The problem of identifying candidate classes becomes acute when confronted with large systems comprising hundreds or thousands of classes. In this paper, we describe a…

Software Engineering · Computer Science 2007-05-23 Richard Wheeldon , Steve Counsell