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We propose a re-formulation of the Einstein evolution equations that cleanly separates the conformal degrees of freedom and the non-conformal degrees of freedom with the latter satisfying a first order strongly hyperbolic system. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Miguel Alcubierre , Bernd Brugmann , Mark Miller , Wai-Mo Suen

Fitting probabilistic models to data is often difficult, due to the general intractability of the partition function. We propose a new parameter fitting method, Minimum Probability Flow (MPF), which is applicable to any parametric model. We…

Machine Learning · Computer Science 2020-07-21 Jascha Sohl-Dickstein , Peter Battaglino , Michael R. DeWeese

Within the calibration of material models, often the numerical results of a simulation model $y$ are compared with the experimental measurements $y^*$. Usually, the differences between measurements and simulation are minimized using least…

Materials Science · Physics 2024-08-14 Thomas Most

Projection-based model order reduction of dynamical systems usually introduces an error between the high-fidelity model and its counterpart of lower dimension. This unknown error can be bounded by residual-based methods, which are typically…

Numerical Analysis · Mathematics 2023-03-31 Johannes Rettberg , Dominik Wittwar , Patrick Buchfink , Robin Herkert , Jörg Fehr , Bernard Haasdonk

We consider the P1/P1 or P1b/P1 finite element approximations to the Stokes equations in a bounded smooth domain subject to the slip boundary condition. A penalty method is applied to address the essential boundary condition $u\cdot n = g$…

Numerical Analysis · Mathematics 2015-05-26 Takahito Kashiwabara , Issei Oikawa , Guanyu Zhou

This paper continues earlier work and is concerned with the inverse problem of parameter identification in variational inequalities of the second kind that does not only treat the parameter linked to a bilinear form, but importantly also…

Optimization and Control · Mathematics 2021-01-01 Joachim Gwinner

We propose a new conceptual approach to reach unattained dissipative properties based on the friction of slender concentric sliding columns. We begin by searching for the optimal topology in the simplest telescopic system of two concentric…

General Physics · Physics 2023-05-18 G. Puglisi , N. M. Pugno

Our goal is to develop a partial ordering method for comparing stochastic choice functions on the basis of their individual rationality. To this end, we assign to any stochastic choice function a one-parameter class of deterministic choice…

Theoretical Economics · Economics 2023-12-13 Efe A. Ok , Gerelt Tserenjigmid

In this paper, we introduce an observer-free sliding mode control (SMC) method based on explicit structural compensation via the decomposition \( s = \alpha - \beta \). The proposed formulation eliminates the need for state observers and…

Systems and Control · Electrical Eng. & Systems 2025-08-25 Jaafar Gaber

The asymptotic analysis of a generic stochastic optimization algorithm mainly relies on the establishment of a specific descent condition. While the convexity assumption allows for technical shortcuts and generally leads to strict…

Optimization and Control · Mathematics 2024-04-09 Jean-Baptiste Fest

In policy learning, the goal is typically to optimize a primary performance metric, but other subsidiary metrics often also warrant attention. This paper presents two strategies for evaluating these subsidiary metrics under a policy that is…

Statistics Theory · Mathematics 2025-09-09 Zhaoqi Li , Houssam Nassif , Alex Luedtke

In this paper we consider a composite optimization problem that minimizes the sum of a weakly smooth function and a convex function with either a bounded domain or a uniformly convex structure. In particular, we first present a…

Optimization and Control · Mathematics 2023-05-30 Masaru Ito , Zhaosong Lu , Chuan He

A new method of deriving comparative statics information using generalized compensated derivatives is presented which yields constraint-free semidefiniteness results for any differentiable, constrained optimization problem. More generally,…

Optimization and Control · Mathematics 2013-10-29 M. Hossein Partovi , Michael R. Caputo

A new package for nonlinear least squares fitting is introduced in this paper. This package implements a recently developed algorithm that, for certain types of nonlinear curve fitting, reduces the number of nonlinear parameters to be…

Statistics Theory · Mathematics 2024-02-07 J. A. F. Torvisco , R. Benítez , M. R. Arias , J. Cabello Sánchez

In this paper, we propose a parameter space augmentation approach that is based on "intentionally" introducing a pseudo-nuisance parameter into generalized linear models for the purpose of variance reduction. We first consider the parameter…

Statistics Theory · Mathematics 2010-07-22 Lixing Zhu , Zhenghui Feng

In the paper we provide new conditions ensuring the isolated calmness property and the Aubin property of parameterized variational systems with constraints depending, apart from the parameter, also on the solution itself. Such systems…

Optimization and Control · Mathematics 2019-02-21 Matúš Benko , Helmut Gfrerer , Jiří V. Outrata

The objective of this work is a physical prediction of such soil shrinkage anisotropy characteristics as variation with drying of (i) different sample/layer sizes and (ii) the shrinkage geometry factor. With that, a new presentation of the…

Geophysics · Physics 2014-05-15 V. Y. Chertkov

In recent papers the author introduced a simple alternative to isoparametric finite elements of the n-simplex type, to enhance the accuracy of approximations of second-order boundary value problems with Dirichlet conditions, posed in smooth…

Numerical Analysis · Mathematics 2020-03-25 Vitoriano Ruas

Pastewka & Robbins (PNAS, 111(9), 3298-3303, 2014) recently have proposed a criterion to distinguish when two surfaces will stick together or not, and suggested it shows a large conflict with asperity theories. It is found that their…

Soft Condensed Matter · Physics 2016-02-09 M. Ciavarella

The structure of superconducting order parameter near the surface of a two-band superconductor with $s_{\pm}$ order parameter in the bulk is theoretically investigated. The main parameter of the surface, which determines the appropriate…

Superconductivity · Physics 2015-06-03 A. M. Bobkov , I. V. Bobkova