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Latent space models are powerful statistical tools for modeling and understanding network data. While the importance of accounting for uncertainty in network analysis has been well recognized, the current literature predominantly focuses on…

统计理论 · 数学 2025-08-15 Jinming Li , Shihao Wu , Chengyu Cui , Gongjun Xu , Ji Zhu

The presence of solvent tunes many properties of a molecule, such as its ground and excited state geometry, dipole moment, excitation energy, and absorption spectrum. Because the energy of the system will vary depending on the solvent…

化学物理 · 物理学 2018-09-13 Tim J. Zuehlsdorff , Christine M. Isborn

We survey a range of models of opinion exchange. From the introduction: "The exchange of opinions between individuals is a fundamental social interaction... Moreover, many models in this field are an excellent playground for mathematicians,…

概率论 · 数学 2017-07-11 Elchanan Mossel , Omer Tamuz

A class of Emergent Universe (EU) model is studied in the light of recent observational data. Significant constraints on model parameters are obtained from the observational data. Density parameter for a class of model is evaluated. Some of…

宇宙学与河外天体物理 · 物理学 2015-05-28 S. Ghose , P. Thakur , B. C. Paul

Differential equations (DEs) are commonly used to describe dynamic systems evolving in one (ordinary differential equations or ODEs) or in more than one dimensions (partial differential equations or PDEs). In real data applications the…

统计方法学 · 统计学 2013-11-25 Gianluca Frasso , Jonathan Jaeger , Philippe Lambert

We study the influence of the spin-torsion coupling prescription and we prove the causal propagation for the fields of the standard model.

高能物理 - 理论 · 物理学 2011-09-13 Luca Fabbri

This talk summarizes topical theoretical work for tests of the electroweak theory and reviews the status of the electroweak Standard Model in view of the recent precision data reported at the 1997 summer conferences.

高能物理 - 唯象学 · 物理学 2007-05-23 W. Hollik

Projected Entangled Pair States (PEPS) are used in practice as an efficient parametrization of the set of ground states of quantum many body systems. The aim of this paper is to present, for a broad mathematical audience, some mathematical…

数学物理 · 物理学 2020-03-19 J. Ignacio Cirac , José Garre-Rubio , David Pérez-García

State-space models effectively model multivariate time series by updating over time a representation of the system state from which predictions are made. The state representation is usually a vector without any explicit structure.…

机器学习 · 计算机科学 2026-04-07 Daniele Zambon , Andrea Cini , Cesare Alippi

We extend the linear mixed-effects state model to accommodate the correlated individuals and investigate its parameter and state estimation based on disturbance smoothing in this paper. For parameter estimation, EM and score based…

统计方法学 · 统计学 2014-09-03 Jie Zhou , Aiping Tang

In many complex systems, states and interaction structure coevolve towards a dynamic equilibrium. For the adaptive contact process, we obtain approximate expressions for the degree distributions that characterize the interaction network in…

适应与自组织系统 · 物理学 2015-07-01 Stefan Wieland , Ana Nunes

Four lectures on experimental test of the standard model presented at the Advanced Summer Institute on Techniques and Concepts of High Energy Physics.

高能物理 - 实验 · 物理学 2007-05-23 Larry Nodulman

The problem of state reconstruction is considered for uncertain linear time-invariant systems with overparameterization, arbitrary state-space matrices and unknown additive perturbation described by an exosystem. A novel adaptive observer…

系统与控制 · 电气工程与系统科学 2024-03-14 Anton Glushchenko , Konstantin Lastochkin

The most important part of model selection and hyperparameter tuning is the evaluation of model performance. The most popular measures, such as AUC, F1, ACC for binary classification, or RMSE, MAD for regression, or cross-entropy for…

机器学习 · 计算机科学 2019-08-27 Alicja Gosiewska , Mateusz Bakala , Katarzyna Woznica , Maciej Zwolinski , Przemyslaw Biecek

Adoption of machine learning models in healthcare requires end users' trust in the system. Models that provide additional supportive evidence for their predictions promise to facilitate adoption. We define consistent evidence to be both…

计算机视觉与模式识别 · 计算机科学 2021-11-16 Peiqi Wang , Ruizhi Liao , Daniel Moyer , Seth Berkowitz , Steven Horng , Polina Golland

In this paper we propose a new state observer design technique for nonlinear systems. It consists of an extension of the recently introduced parameter estimation-based observer, which is applicable for systems verifying a particular…

动力系统 · 数学 2020-11-16 Romeo Ortega , Alexey Bobtsov , Nikolay Nikolaev , Johannes Schiffer , Denis Dochain

Weighting methods are used in observational studies to adjust for covariate imbalances between treatment and control groups. Entropy balancing (EB) is an alternative to inverse probability weighting with an estimated propensity score. The…

统计方法学 · 统计学 2022-04-25 David Källberg , Ingeborg Waernbaum

This paper aims to extend the framework of causal modelling to teleological explanations. It conceives final models as second-order models produced by interventions on first-order causal models. It shows why such formalisation permits us to…

统计方法学 · 统计学 2023-10-05 Dario Compagno

We develop estimation and inference methods for a stylized macroeconomic model with potentially multiple behavioural equilibria, where agents form expectations using a constant-gain learning rule. We first show geometric ergodicity of the…

计量经济学 · 经济学 2026-03-10 Alexander Mayer , Davide Raggi

We present a general theory of spontaneous emission at exceptional points (EPs)---exotic degeneracies in non-Hermitian systems. Our theory extends beyond spontaneous emission to any light--matter interaction described by the local density…