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Observability can determine which recorded variables of a given system are optimal for discriminating its different states. Quantifying observability requires knowledge of the equations governing the dynamics. These equations are often…

适应与自组织系统 · 物理学 2020-10-28 Christopher E. Gonzalez , Claudia Lainscsek , Terrence J. Sejnowski , Christophe Letellier

Events in the world may be caused by other, unobserved events. We consider sequences of events in continuous time. Given a probability model of complete sequences, we propose particle smoothing---a form of sequential importance…

机器学习 · 计算机科学 2019-05-15 Hongyuan Mei , Guanghui Qin , Jason Eisner

Computable estimates for the error of finite element discretisations of parabolic problems in the $L^\infty(0,T; L^2)$ norm are developed, which exhibit constant effectivities (the ratio of the estimated error to the true error) with…

数值分析 · 数学 2018-03-09 Oliver J. Sutton

A method is proposed for determining the masses of the new particles N,X,Y,Z in collider events containing a pair of effectively identical decay chains Z to Y+jet, Y to X+l_1, X to N+l_2, where l_1, l_2 are opposite-sign same-flavour…

高能物理 - 唯象学 · 物理学 2015-03-17 Mihoko M. Nojiri , Kazuki Sakurai , Bryan R. Webber

In this paper, we study the mixed-integer nonlinear set given by a separable quadratic constraint on continuous variables, where each continuous variable is controlled by an additional indicator. This set occurs pervasively in optimization…

最优化与控制 · 数学 2022-09-07 Andres Gomez , Weijun Xie

Optimization problems with an auxiliary latent variable structure in addition to the main model parameters occur frequently in computer vision and machine learning. The additional latent variables make the underlying optimization task…

机器学习 · 计算机科学 2020-03-13 Christopher Zach , Huu Le

Instrumental variable analysis is a powerful tool for estimating causal effects when randomization or full control of confounders is not possible. The application of standard methods such as 2SLS, GMM, and more recent variants are…

机器学习 · 统计学 2020-06-08 Andrew Bennett , Nathan Kallus , Tobias Schnabel

An initial-boundary value problem with a Caputo time derivative of fractional order $\alpha\in(0,1)$ is considered, solutions of which typically exhibit a singular behaviour at an initial time. An L2-type discrete fractional-derivative…

数值分析 · 数学 2020-07-13 Natalia Kopteva

We define discrete Hamiltonian systems in the framework of discrete embeddings. An explicit comparison with previous attempts is given. We then solve the discrete Helmholtz's inverse problem for the discrete calculus of variation in the…

数值分析 · 数学 2015-01-15 Jacky Cresson , Frédéric Pierret

We address combinatorial problems that can be formulated as minimization of a partially separable function of discrete variables (energy minimization in graphical models, weighted constraint satisfaction, pseudo-Boolean optimization, 0-1…

计算机视觉与模式识别 · 计算机科学 2015-05-05 Alexander Shekhovtsov

The difference variational bicomplex, which is the natural setting for systems of difference equations, is constructed and used to examine the geometric and algebraic properties of various systems. Exactness of the bicomplex gives a…

数学物理 · 物理学 2026-04-21 Linyu Peng , Peter E. Hydon

The 2-sets convex feasibility problem aims at finding a point in the nonempty intersection of two closed convex sets $A$ and $B$ in a Hilbert space $X$. The method of alternating projections is the simplest iterative procedure for finding a…

最优化与控制 · 数学 2020-06-29 Carlo A. De Bernardi , Enrico Miglierina

This note discusses the problem of choosing between hypotheses in a situation with many, correlated non-normal variables. A new method is introduced to shrink the many variables into a smaller subset of variables with zero mean, unit…

数据分析、统计与概率 · 物理学 2007-05-23 Byron P. Roe

Chance constraints provide a principled framework to mitigate the risk of high-impact extreme events by modifying the controllable properties of a system. The low probability and rare occurrence of such events, however, impose severe…

最优化与控制 · 数学 2022-01-11 Shanyin Tong , Anirudh Subramanyam , Vishwas Rao

We introduce an alternative approach for constrained mathematical programming problems. It rests on two main aspects: an efficient way to compute optimal solutions for unconstrained problems, and multipliers regarded as variables for a…

最优化与控制 · 数学 2015-10-27 Pablo Pedregal

It is often true that an invariant mass constructed from visible decay products of a heavy particle may attain a maximum(or minimum) for a certain kinematic configuration only -- this fact can be used to reconstruct relevant particle masses…

高能物理 - 唯象学 · 物理学 2009-07-30 N. Kersting

Bayesian change-point detection, together with latent variable models, allows to perform segmentation over high-dimensional time-series. We assume that change-points lie on a lower-dimensional manifold where we aim to infer subsets of…

机器学习 · 统计学 2020-11-04 Lorena Romero-Medrano , Pablo Moreno-Muñoz , Antonio Artés-Rodríguez

We show that the invariant measure of point vortices, when conditioning the Hamiltonian to a finite interval, converges weakly to the enstrophy measure by conditioning the renormalized energy to the same interval. We also prove the…

数学物理 · 物理学 2020-01-09 Franco Flandoli , Dejun Luo

In this work, we first consider distributed convex constrained optimization problems where the objective function is encoded by multiple local and possibly nonsmooth objectives privately held by a group of agents, and propose a distributed…

最优化与控制 · 数学 2020-02-20 Changxin Liu , Huiping Li , Yang Shi

We study the dynamics of pairs of connected masses in the plane, when nonholonomic (knife-edge) constraints are realized by forces of viscous friction, in particular its relation to constrained dynamics, and its approximation by the method…

经典物理 · 物理学 2017-05-19 Sergiy Koshkin , Vojin Jovanovic