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In this paper we propose a solution to the problem of moment matching with preservation of the port Hamiltonian structure, in the framework of time-domain moment matching. We characterize several families of parameterized port Hamiltonian…

Dynamical Systems · Mathematics 2024-05-06 Tudor C. Ionescu , Alessandro Astolfi

This paper is concerned with the Taylor-reduced basis method (Taylor-RBM) for the efficient approximation of eigenspaces of large scale parametric Hermitian matrices. The Taylor-RBM is a local model order reduction method, which constructs…

Numerical Analysis · Mathematics 2026-03-31 Benjamin Stamm , Zhuoyao Zeng

Bilevel optimization has gained prominence in various applications. In this study, we introduce a framework for solving bilevel optimization problems, where the variables in both the lower and upper levels are constrained on Riemannian…

Optimization and Control · Mathematics 2024-11-05 Andi Han , Bamdev Mishra , Pratik Jawanpuria , Akiko Takeda

Guaranteed lower Dirichlet eigenvalue bounds (GLB) can be computed for the $m$-th Laplace operator with a recently introduced extra-stabilized nonconforming Crouzeix-Raviart ($m=1$) or Morley ($m=2$) finite element eigensolver. Striking…

Numerical Analysis · Mathematics 2022-03-03 Carsten Carstensen , Sophie Puttkammer

This investigation continues a program aiming at obtaining effective quantum models to describe measurement statistics. In [Stark, arXiv:1209.5737 (2012)], we have described how the Gram matrix associated to the prepared states and the…

Quantum Physics · Physics 2012-10-04 Cyril Stark

This paper considers a simulation-based estimator for a general class of Markovian processes and explores some strong consistency properties of the estimator. The estimation problem is defined over a continuum of invariant distributions…

Probability · Mathematics 2010-01-14 Manuel S. Santos

In this paper, Lipschitz univariate constrained global optimization problems where both the objective function and constraints can be multiextremal are considered. The constrained problem is reduced to a discontinuous unconstrained problem…

Optimization and Control · Mathematics 2015-03-19 Yaroslav D. Sergeyev , Domenico Famularo , Paolo Pugliese

A new application of subspaces interpolation for the construction of nonlinear Parametric Reduced Order Models (PROMs) is proposed. This approach is based upon the Riemannian geometry of the manifold formed by the quotient of the set of…

Numerical Analysis · Mathematics 2020-09-25 M. Oulghelou , C. Allery

State estimation techniques for continuum robots (CRs) typically involve using computationally complex dynamic models, simplistic shape approximations, or are limited to quasi-static methods. These limitations can be sensitive to unmodelled…

Robotics · Computer Science 2025-10-03 Spencer Teetaert , Sven Lilge , Jessica Burgner-Kahrs , Timothy D. Barfoot

A new technique towards finding asymptotic normalization coefficients in the complex-ranged Gaussian basis is presented. It is shown that a diagonalisation procedure for the total Hamiltonian matrix in the given basis results in…

Nuclear Theory · Physics 2019-10-29 D. A. Sailaubek , O. A. Rubtsova

This paper describes a first step towards the definition of an abstract machine for linguistic formalisms that are based on typed feature structures, such as HPSG. The core design of the abstract machine is given in detail, including the…

cmp-lg · Computer Science 2008-02-03 Shuly Wintner , Nissim Francez

In this paper, mixed categorical structural optimization problems are investigated. The aim is to minimize the weight of a truss structure with respect to cross-section areas, materials and cross-section type. The proposed methodology…

Computational Engineering, Finance, and Science · Computer Science 2022-07-13 Pierre-Jean Barjhoux , Youssef Diouane , Stéphane Grihon , Joseph Morlier

Analytic combinatorics in several variables refers to a suite of tools that provide sharp asymptotic estimates for certain combinatorial quantities. In this paper, we apply these tools to determine the Gilbert-Varshamov (GV) bound for the…

Combinatorics · Mathematics 2024-09-04 Goyal Keshav , Duc Tu Dao , Han Mao Kiah , Mladen Kovacevic

We set up Restricted Boltzmann Machines (RBM) to reproduce the Long Range Ising (LRI) models of the Ohmic type in one dimension. The RBM parameters are tuned by using the standard machine learning procedure with an additional method of…

Statistical Mechanics · Physics 2017-01-03 Ken-Ichi Aoki , Tamao Kobayashi

We investigate a class of parametric elliptic eigenvalue problems with homogeneous essential boundary conditions where the coefficients (and hence the solution $u$) may depend on a parameter $y$. For the efficient approximate evaluation of…

Numerical Analysis · Mathematics 2024-05-17 Alexey Chernov , Tung Le

We present a novel certified model order reduction (MOR) algorithm for switched descriptor systems applicable to large-scale systems. Our algorithm combines the idea of [Hossain \& Trenn, Technical report, 2023] to reformulate the switched…

Numerical Analysis · Mathematics 2024-04-17 Mattia Manucci , Benjamin Unger

In Bayesian inference, an unknown measurement uncertainty is often quantified in terms of a Gamma distributed precision parameter, which is impractical when prior information on the standard deviation of the measurement uncertainty shall be…

Methodology · Statistics 2021-01-19 Manuel M. Eichenlaub

Filters are broadly used in signal processing and communication systems in noise reduction. Butterworth, Chebyshev-I Analog Low Pass Filters are developed and implemented in this paper. The filters are manually calculated using…

Signal Processing · Electrical Eng. & Systems 2021-02-19 Navid Fazle Rabbi

In this work we provide a computationally tractable procedure for designing affine control policies, applied to constrained, discrete-time, partially observable, linear systems subject to set bounded disturbances, stochastic noise and…

Optimization and Control · Mathematics 2018-11-27 Georgios Kotsalis , Guanghui Lan

Recent analysis of classical algorithms resulted in their axiomatization as transition systems satisfying some simple postulates, and in the formulation of the Abstract State Machine Theorem, which assures us that any classical algorithm…

Logic in Computer Science · Computer Science 2024-10-15 Andreas Blass , Nachum Dershowitz , Yuri Gurevich