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This work considers special types of interval linear systems - overdetermined systems. Simply said these systems have more equations than variables. The solution set of an interval linear system is a collection of all solutions of all…

数值分析 · 计算机科学 2013-04-18 Jaroslav Horáček , Milan Hladík

This paper studies the identification of nonlinearly parameterized control systems in given experiments. Several identifiability criteria are established and an implementable algorithm is proposed for practicality with the convergence rate…

最优化与控制 · 数学 2019-08-21 Chanying Li

Computer experiments refer to the study of real systems using complex simulation models. They have been widely used as alternatives to physical experiments. Design and analysis of computer experiments have attracted great attention in past…

统计方法学 · 统计学 2025-04-29 Anita Shahrokhian , Xinwei Deng , C. Devon Lin

The ability to efficiently infer system parameters is essential in any signal-processing task that requires fast operation. Dealing with quantum systems, a serious challenge arises due to substantial growth of the underlying Hilbert space…

量子物理 · 物理学 2025-04-23 Lewis A. Clark , Jan Kolodynski

There are several forms of irreducibility in computing systems, ranging from undecidability to intractability to nonlinearity. This paper is an exploration of the conceptual issues that have arisen in the course of investigating speed-up…

计算复杂性 · 计算机科学 2011-06-24 Hector Zenil , Fernando Soler-Toscano , Joost J. Joosten

We present a novel algorithm which can overcome the drawbacks of the conventional linear scaling method with minimal computational overhead. This is achieved by introducing additional constraints, thus eliminating the redundancy of the…

材料科学 · 物理学 2015-06-25 Eiji Tsuchida

A new recalibration post-processing method is presented to improve the quality of the posterior approximation when using Approximate Bayesian Computation (ABC) algorithms. Recalibration may be used in conjunction with existing…

统计计算 · 统计学 2017-04-24 G. S. Rodrigues , D. Prangle , S. A. Sisson

The problem of distributed identification of linear stochastic system with unknown coefficients over time-varying networks is considered. For estimating the unknown coefficients, each agent in the network can only access the input and the…

系统与控制 · 电气工程与系统科学 2021-08-04 Kewei Fu , Han-Fu Chen , Wenxiao Zhao

This paper reports on a new algorithm to compute the asymptotic solutions of a linear differential system. A feature of the algorithm is the ability to accommodate periodic coefficients.

谱理论 · 数学 2025-10-20 B. M. Brown , M. S. P. Eastham , D. K. R. McCormack

This paper reviews the design of experiments for generalised linear models, including optimal design, Bayesian design and designs for models with random effects.

统计方法学 · 统计学 2015-10-20 Anthony C. Atkinson , David C. Woods

We consider a class of systems over finite alphabets, namely discrete-time systems with linear dynamics and a finite input alphabet. We formulate a notion of finite uniform bisimulation, and motivate and propose a notion of regular finite…

最优化与控制 · 数学 2015-10-15 Donglei Fan , Danielle C. Tarraf

We address the problem of parameter estimation in models of systems biology from noisy observations. The models we consider are characterized by simultaneous deterministic nonlinear differential equations whose parameters are either taken…

机器学习 · 统计学 2017-05-01 Xin Liu , Mahesan Niranjan

We present a new efficient algortithm for construction of linear latent structure (LLS) models. This algorithm reduces a problem of estimation of model parameters to a sequence of problems of linear algebra, which assures a low…

概率论 · 数学 2007-06-13 Mikhail Kovtun , Igor Akushevich , Kenneth G. Manton , H. Dennis Tolley

It is shown how the dimension of any arbitrary over-determined system of differential equations can be reduced, which makes the system suitable for numerical solution modeling. Specifically, over-determined equations of hydrodynamics are…

数学物理 · 物理学 2013-02-26 Maxim Zaytsev , Vyacheslav Akkerman

Approximate Bayesian computation (ABC) is a family of computational techniques in Bayesian statistics. These techniques allow to fi t a model to data without relying on the computation of the model likelihood. They instead require to…

统计理论 · 数学 2018-12-27 Maxime Lenormand , Franck Jabot , Guillaume Deffuant

Bayes linear analysis and approximate Bayesian computation (ABC) are techniques commonly used in the Bayesian analysis of complex models. In this article we connect these ideas by demonstrating that regression-adjustment ABC algorithms…

统计方法学 · 统计学 2012-12-10 D. J. Nott , Y. Fan , L. Marshall , S. A. Sisson

We perform certain alternating binomial summations with parameters that occur in the analysis of algorithms. A combination of integral and special function and special number representations is used. The results are sufficiently general to…

数学物理 · 物理学 2007-05-23 Mark W. Coffey

Our objective is to estimate the unknown compositional input from its output response through an unknown system after estimating the inverse of the original system with a training set. The proposed methods using artificial neural networks…

机器学习 · 计算机科学 2020-01-27 Se Un Park

We establish the exact overlaps conjecture for iterated functions systems on the real line with algebraic contractions and arbitrary translations.

动力系统 · 数学 2020-01-15 Ariel Rapaport

Approximate Bayesian computation (ABC) methods perform inference on model-specific parameters of mechanistically motivated parametric statistical models when evaluating likelihoods is difficult. Central to the success of ABC methods is…

统计计算 · 统计学 2013-01-29 Erkan O. Buzbas , Noah A. Rosenberg