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The statistical finite element method (StatFEM) is an emerging probabilistic method that allows observations of a physical system to be synthesised with the numerical solution of a PDE intended to describe it in a coherent statistical…

数值分析 · 数学 2022-02-21 Yanni Papandreou , Jon Cockayne , Mark Girolami , Andrew B. Duncan

This paper provides a stabilizing preparation method for quantum Gaussian states by utilizing continuous measurement. The stochastic evolution of the open quantum system is described in terms of the quantum stochastic master equation. We…

量子物理 · 物理学 2021-09-28 Liying Bao , Bo Qi , Daoyi Dong

Reliability theory is used to assess the sensitivity of a passive flexion and active flexion of the human lower leg Finite Element (FE) models with Total Knee Replacement (TKR) to the variability in the input parameters of the respective FE…

计算工程、金融与科学 · 计算机科学 2018-07-20 Corneliu T. C. Arsene

The problem of aggregating expert forecasts is ubiquitous in fields as wide-ranging as machine learning, economics, climate science, and national security. Despite this, our theoretical understanding of this question is fairly shallow. This…

计算机科学与博弈论 · 计算机科学 2022-02-24 Eric Neyman , Tim Roughgarden

Mixture-of-experts (MoE) model incorporates the power of multiple submodels via gating functions to achieve greater performance in numerous regression and classification applications. From a theoretical perspective, while there have been…

机器学习 · 统计学 2024-06-25 Huy Nguyen , Pedram Akbarian , TrungTin Nguyen , Nhat Ho

The $H_2$ norm is a commonly used performance metric in the design of estimators. However, $H_2$-optimal estimation of most PDEs is complicated by the lack of transfer function and state-space representations. To address this problem, we…

最优化与控制 · 数学 2026-05-19 Danio Braghini , Sachin Shivakumar , Matthew M. Peet

Reshef & Reshef recently published a paper in which they present a method called the Maximal Information Coefficient (MIC) that can detect all forms of statistical dependence between pairs of variables as sample size goes to infinity. While…

机器学习 · 统计学 2013-08-28 Alexander Luedtke , Linh Tran

Locomotion robots with active or passive compliance can show robustness to uncertain scenarios, which can be promising for agricultural, research and environmental industries. However, state estimation for these robots is challenging due to…

机器人学 · 计算机科学 2025-10-02 Valentin Yuryev , Max Polzin , Josie Hughes

We study statistical inference for small-noise-perturbed multiscale dynamical systems. We prove consistency, asymptotic normality, and convergence of all scaled moments of an appropriately-constructed maximum likelihood estimator (MLE) for…

概率论 · 数学 2016-06-16 Siragan Gailus , Konstantinos Spiliopoulos

Ice storms are one of the most devastating natural hazards which have the potential to inflict significant damage to the built environment. The multi-hazard nature of ice events complicates the analysis of their induced risk due to their…

大气与海洋物理 · 物理学 2024-03-27 Reda Snaiki

This paper discusses the stability of an equilibrium point of an ordinary differential equation (ODE) arising from a feed-forward position control for a musculoskeletal system. The studied system has a link, a joint and two muscles with…

动力系统 · 数学 2019-04-30 Takahiro Kosugi , Hitoshi Kino , Masaaki Goto , Yuki Matsutani

We study some of the most commonly used mutual information estimators, based on histograms of fixed or adaptive bin size, $k$-nearest neighbors and kernels, and focus on optimal selection of their free parameters. We examine the consistency…

数据分析、统计与概率 · 物理学 2015-05-13 Angeliki Papana , Dimitris Kugiumtzis

We propose a receding horizon control strategy that readily handles systems that exhibit interval-wise total energy constraints on the input control sequence. The approach is based on a variable optimization horizon length and contractive…

系统与控制 · 计算机科学 2012-03-22 Eduardo Arvelo , Nuno C. Martins

Time-series imputation benchmarks employ uniform random masking and shape-agnostic metrics (MSE, RMSE), implicitly weighting evaluation by regime prevalence. In systems with a dominant attractor -- homeostatic physiology, nominal industrial…

机器学习 · 计算机科学 2026-02-18 Amirreza Dolatpour Fathkouhi , Alireza Namazi , Heman Shakeri

This paper introduces a notion of data informativity for stabilization tailored to continuous-time signals and systems. We establish results comparable to those known for discrete-time systems with sampled data. We justify that additional…

最优化与控制 · 数学 2024-06-14 Jaap Eising , Jorge Cortes

A systematic Bayesian framework is developed for physics constrained parameter inference ofstochastic differential equations (SDE) from partial observations. The physical constraints arederived for stochastic climate models but are…

数据分析、统计与概率 · 物理学 2016-11-25 Daniel Peavoy , Christian L. E. Franzke , Gareth O. Roberts

In this paper, we consider distributed maximum likelihood estimation (MLE) with dependent quantized data under the assumption that the structure of the joint probability density function (pdf) is known, but it contains unknown deterministic…

信息论 · 计算机科学 2013-09-17 Xiaojing Shen , Pramod K. Varshney , Yunmin Zhu

Reconfigurable Intelligent Surfaces (RIS) are planar structures connected to electronic circuitry, which can be employed to steer the electromagnetic signals in a controlled manner. Through this, the signal quality and the effective data…

信息论 · 计算机科学 2021-12-21 Long Kong , Steven Kisseleff , Symeon Chatzinotas , Björn Ottersten , Melike Erol-Kantarci

We investigate the problem of persistent monitoring, where a mobile agent has to survey multiple targets in an environment in order to estimate their internal states. These internal states evolve with linear stochastic dynamics and the…

系统与控制 · 电气工程与系统科学 2021-04-02 Samuel C. Pinto , Sean B. Andersson , Julien M. Hendrickx , Christos G. Cassandras

Human pose estimation (HPE) usually requires large-scale training data to reach high performance. However, it is rather time-consuming to collect high-quality and fine-grained annotations for human body. To alleviate this issue, we revisit…

计算机视觉与模式识别 · 计算机科学 2022-05-26 Xixia Xu , Yingguo Gao , Ke Yan , Xue Lin , Qi Zou
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