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This paper presents a new exact method to calculate worst-case parameter realizations in two-stage robust optimization problems with categorical or binary-valued uncertain data. Traditional exact algorithms for these problems, notably…

Optimization and Control · Mathematics 2022-01-19 Anirudh Subramanyam

We study the classical problem of recovering a multidimensional source signal from observations of nonlinear mixtures of this signal. We show that this recovery is possible (up to a permutation and monotone scaling of the source's original…

Machine Learning · Statistics 2023-01-18 Alexander Schell , Harald Oberhauser

Filterless optical transport networks relies on passive optical interconnections between nodes, i.e., on splitters/couplers and amplifiers. While different studies have investigated their design, none of them offer a solution for an optimal…

Networking and Internet Architecture · Computer Science 2021-01-05 Brigitte Jaumard , Yan Wang

We consider a phase field crystal modeling approach for binary mixtures of interacting active and passive particles. The approach allows to describe generic properties for such systems within a continuum model. We validate the approach by…

Soft Condensed Matter · Physics 2018-09-19 Francesco Alaimo , Axel Voigt

Multi-class classification is mandatory for real world problems and one of promising techniques for multi-class classification is Error Correcting Output Code. We propose a method for constructing the Error Correcting Output Code to obtain…

Machine Learning · Computer Science 2013-12-30 Patoomsiri Songsiri , Thimaporn Phetkaew , Ryutaro Ichise , Boonserm Kijsirikul

A dynamic symmetry-breaking transition with noise and inertia is analyzed. Exact solution of the linearized equation that describes the critical region allows precise calculation (exponent and prefactor) of the number of defects produced as…

Condensed Matter · Physics 2009-10-31 Esteban Moro , Grant Lythe

Equations governing the nonlinear dynamics of complex systems are usually unknown and indirect methods are used to reconstruct their manifolds. In turn, they depend on embedding parameters requiring other methods and long temporal sequences…

Chaotic Dynamics · Physics 2020-06-24 Valeria d'Andrea , Manlio De Domenico

Estimating the ratio of two probability densities from a finite number of observations is a central machine learning problem. A common approach is to construct estimators using binary classifiers that distinguish observations from the two…

Machine Learning · Computer Science 2025-01-28 Werner Zellinger

Consider two or more strings $\mathbf{x}^1,\mathbf{x}^2,\ldots,$ that are concatenated to form $\mathbf{x}=\langle \mathbf{x}^1,\mathbf{x}^2,\ldots \rangle$. Suppose that up to $\delta$ deletions occur in each of the concatenated strings.…

Information Theory · Computer Science 2023-04-20 Serge Kas Hanna

In electromagnetic simulations of magnets and machines one is often interested in a highly accurate and local evaluation of the magnetic field uniformity. Based on local post-processing of the solution, a defect correction scheme is…

Numerical Analysis · Mathematics 2017-02-09 Ulrich Römer , Sebastian Schöps , Herbert De Gersem

Dynamic Optimization Problems (DOPs) are characterized by changes in the fitness landscape that can occur at any time and are common in real world applications. The main issues to be considered include detecting the change in the fitness…

Neural and Evolutionary Computing · Computer Science 2023-10-10 Alexandre Mascarenhas , Yuri Lavinas , Claus Aranha

Bin Packing with Minimum Color Fragmentation (BPMCF) is an extension of the Bin Packing Problem in which each item has a size and a color and the goal is to minimize the sum of the number of bins containing items of each color. In this…

Data Structures and Algorithms · Computer Science 2018-12-04 David Bergman , Carlos Cardonha , Saharnaz Mehrani

In the present work, we explore efficient ways to transmit binary information in discrete, semi-infinite chains of coupled oscillators using the process of nonlinear supratransmission. A previous work showed that such transmission is…

Computational Physics · Physics 2011-12-06 J. E. Macías-Díaz , A. Puri

In this paper we consider multidimensional mechanism design problem for selling discrete substitutable items to a group of buyers. Previous work on this problem mostly focus on stochastic description of valuations used by the seller.…

Computer Science and Game Theory · Computer Science 2017-01-05 Maciej Drwal

We propose using performance metrics derived from zero-failure testing to assess binary classifiers. The principal characteristic of the proposed approach is the asymmetric treatment of the two types of error. In particular, we construct a…

Machine Learning · Computer Science 2024-07-08 Ioannis Ivrissimtzis , Matthew Houliston , Shauna Concannon , Graham Roberts

The goal of this work is to build a dynamical theory of defects for quantum spin systems. A kinematic theory for an indefinite number of defects is first introduced exploiting distinguishable Fock space. Dynamics are then incorporated by…

Quantum Physics · Physics 2020-04-28 Jacob C. Bridgeman , Alexander Hahn , Tobias J. Osborne , Ramona Wolf

We discuss the problem of optimal impulse control representing the preventive maintenance of a simple reparable system. The system model is governed by coupled transport and integro-differential equations in a nonreflexive Banach space. The…

Optimization and Control · Mathematics 2017-03-29 Weiwei Hu , Rongjie Lai , Houbao Xu , Chuang Zheng

You may develop a potential prediction model, but how can I trust your model that it will benefit my software?. Using a software defect prediction (SDP) model as a tool, we address this fundamental problem in machine learning research. This…

Software Engineering · Computer Science 2023-01-16 Umamaheswara Sharma B , Ravichandra Sadam

To improve the predictability of complex computational models in the experimentally-unknown domains, we propose a Bayesian statistical machine learning framework utilizing the Dirichlet distribution that combines results of several…

Methodology · Statistics 2023-11-06 Vojtech Kejzlar , Léo Neufcourt , Witold Nazarewicz

Combinatorial optimization can be described as the problem of finding a feasible subset that maximizes a objective function. The paper discusses combinatorial optimization problems, where for each dimension the set of feasible subsets is…

Computational Complexity · Computer Science 2024-11-27 Nimrod Megiddo