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We propose a technique for reformulation of state and parameter estimation problems as that of matching explicitly computable definite integrals with known kernels to data. The technique applies for a class of systems of nonlinear ordinary…

Optimization and Control · Mathematics 2013-09-11 I. Yu. Tyukin , A. N. Gorban

In the application of the Expectation Maximization algorithm to identification of dynamical systems, internal states are typically chosen as latent variables, for simplicity. In this work, we propose a different choice of latent variables,…

Computation · Statistics 2016-08-06 Jack Umenberger , Johan Wågberg , Ian R. Manchester , Thomas B. Schön

The affine inverse eigenvalue problem consists of identifying a real symmetric matrix with a prescribed set of eigenvalues in an affine space. Due to its ubiquity in applications, various instances of the problem have been widely studied in…

Optimization and Control · Mathematics 2019-11-07 Utkan Candogan , Yong Sheng Soh , Venkat Chandrasekaran

This paper presents the ReXCL tool, which automates the extraction and classification processes in requirement engineering, enhancing the software development lifecycle. The tool features two main modules: Extraction, which processes raw…

Software Engineering · Computer Science 2025-04-11 Paheli Bhattacharya , Manojit Chakraborty , Santhosh Kumar Arumugam , Rishabh Gupta

Constrained optimization problems appear in a wide variety of challenging real-world problems, where constraints often capture the physics of the underlying system. Classic methods for solving these problems rely on iterative algorithms…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Meiyi Li , Soheil Kolouri , Javad Mohammadi

Practical model building processes are often time-consuming because many different models must be trained and validated. In this paper, we introduce a novel algorithm that can be used for computing the lower and the upper bounds of model…

Machine Learning · Statistics 2014-02-11 Yoshiki Suzuki , Kohei Ogawa , Yuki Shinmura , Ichiro Takeuchi

This paper describes a method for compiling a constraint-based grammar into a potentially more efficient form for processing. This method takes dependent disjunctions within a constraint formula and factors them into non-interacting groups…

cmp-lg · Computer Science 2008-02-03 John Griffith

We study a class of two-stage stochastic programs in which the second stage includes a set of components with uncertain capacity, and the expression for the distribution function of the uncertain capacity includes first-stage variables.…

Optimization and Control · Mathematics 2024-09-16 Hugh Medal , Samuel Affar

Variance parameter estimation in linear mixed models is a challenge for many classical nonlinear optimization algorithms due to the positive-definiteness constraint of the random effects covariance matrix. We take a completely novel view on…

Machine Learning · Statistics 2022-12-20 Lena Sembach , Jan Pablo Burgard , Volker H. Schulz

Variable independence and decomposability are algorithmic techniques for simplifying logical formulas by tearing apart connections between free variables. These techniques were originally proposed to speed up query evaluation in constraint…

Logic in Computer Science · Computer Science 2023-07-20 Alexander Mayorov

We introduce skipping refinement, a new notion of correctness for reasoning about optimized reactive systems. Reasoning about reactive systems using refinement involves defining an abstract, high-level specification system and a concrete,…

Logic in Computer Science · Computer Science 2015-02-11 Mitesh Jain , Panagiotis Manolios

Dependently typed programming languages allow sophisticated properties of data to be expressed within the type system. Of particular use in dependently typed programming are indexed types that refine data by computationally useful…

Logic in Computer Science · Computer Science 2015-07-01 Robert Atkey , Patricia Johann , Neil Ghani

Practical optimization problems may contain different kinds of difficulties that are often not tractable if one relies on a particular optimization method. Different optimization approaches offer different strengths that are good at…

Neural and Evolutionary Computing · Computer Science 2024-07-08 Ankur Sinha , Dhaval Pujara , Hemant Kumar Singh

Linear Mixed-Effects (LME) models are a fundamental tool for modeling correlated data, including cohort studies, longitudinal data analysis, and meta-analysis. Design and analysis of variable selection methods for LMEs is more difficult…

The Contextuality-by-Default approach to determining and measuring the (non)contextuality of a system of random variables requires that every random variable in the system be represented by an equivalent set of dichotomous random variables.…

Quantum Physics · Physics 2022-01-05 Janne V. Kujala , Ehtibar N. Dzhafarov

Formal specification techniques allow expressing idealized specifications, which abstract from restrictions that may arise in implementations. However, partial implementations are universal in software development due to practical…

Logic in Computer Science · Computer Science 2013-05-28 Emil Sekerinski , Tian Zhang

We use convex relaxation techniques to produce lower bounds on the optimal value of subset selection problems and generate good approximate solutions. We then explicitly bound the quality of these relaxations by studying the approximation…

Optimization and Control · Mathematics 2010-06-21 Francis Bach , Selin Damla Ahipasaoglu , Alexandre d'Aspremont

Many problems related to the quality of requirements arise during elicitation and specification activities since they are written in natural language. The flexibility and inherent nature of language make requirements prone to…

Software Engineering · Computer Science 2021-05-14 María Guadalupe Gramajo , Luciana Ballejos , Mariel Ale

In a standard regression problem, we have a set of explanatory variables whose effect on some response vector is modeled. For wide binary data, such as genetic marker data, we often have two limitations. First, we have more parameters than…

Methodology · Statistics 2021-09-20 Katharina Parry , Leo N. Geppert , Alexander Munteanu , Katja Ickstadt

A Variable Parameter (VP) analysis, that we introduce here, aims to give a precise algorithm time complexity expression in which an exponent appears solely in terms of a variable parameter. A variable parameter is the number of objects with…

Data Structures and Algorithms · Computer Science 2025-07-08 Nodari Vakhania