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State-space models are ubiquitous in the statistical literature since they provide a flexible and interpretable framework for analyzing many time series. In most practical applications, the state-space model is specified through a…

Methodology · Statistics 2020-06-18 Thi Tuyet Trang Chau , Pierre Ailliot , Valérie Monbet

This study reviews popular stochastic gradient-based schemes based on large least-square problems. These schemes, often called optimizers in machine learning, play a crucial role in finding better model parameters. Hence, this study focuses…

Machine Learning · Computer Science 2025-03-05 Ramkrishna Acharya

In this paper, we show how different types of distributed mutual algorithms can be compared in terms of performance through simulations. A simulation-based approach is presented, together with an overview of the relevant evaluation metrics…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-22 Filip De Turck

In this paper the method of simulated quantiles (MSQ) of Dominicy and Veredas (2013) and Dominick et al. (2013) is extended to a general multivariate framework (MMSQ) and to provide a sparse estimator of the scale matrix (sparse-MMSQ). The…

Methodology · Statistics 2017-10-11 Mauro Bernardi , Lea Petrella , Paola Stolfi

Simulations are valuable tools for empirically evaluating the properties of statistical methods and are primarily employed in methodological research to draw general conclusions about methods. In addition, they can often be useful to…

Other Statistics · Statistics 2025-10-08 Anne-Laure Boulesteix , Patrick Callahan , Luzia Hanssum , Vincent Gaertner , Eva Hoster

Sparse linear regression, which entails finding a sparse solution to an underdetermined system of linear equations, can formally be expressed as an $l_0$-constrained least-squares problem. The Orthogonal Least-Squares (OLS) algorithm…

Machine Learning · Statistics 2016-08-01 Abolfazl Hashemi , Haris Vikalo

Dynamic and evolving operational and economic environments present significant challenges for decision-making. We explore a simulation optimization problem characterized by non-stationary input distributions with regime-switching dynamics…

Optimization and Control · Mathematics 2025-08-19 Jianglin Xia , Haowei Wang , Songhao Wang , Szu Hui Ng

Modern signal processing (SP) methods rely very heavily on probability and statistics to solve challenging SP problems. SP methods are now expected to deal with ever more complex models, requiring ever more sophisticated computational…

Ordinary Differential Equations are a simple but powerful framework for modeling complex systems. Parameter estimation from times series can be done by Nonlinear Least Squares (or other classical approaches), but this can give…

Methodology · Statistics 2014-10-29 Quentin Clairon , Nicolas Brunel

We address the problem of channel estimation for cyclic-prefix (CP) Orthogonal Frequency Division Multiplexing (OFDM) systems. We model the channel as a vector of unknown deterministic constants and hence, do not require prior knowledge of…

Information Theory · Computer Science 2014-10-23 Karthik Upadhya , Chandra Sekhar Seelamantula , K. V. S. Hari

The dynamic mode decomposition (DMD) has become a leading tool for data-driven modeling of dynamical systems, providing a regression framework for fitting linear dynamical models to time-series measurement data. We present a simple…

Numerical Analysis · Mathematics 2017-04-11 Travis Askham , J. Nathan Kutz

Two important enhanced sampling algorithms, simulated (ST) and parallel (PT) tempering, are commonly used when ergodic simulations may be hard to achieve, e.g, due to a phase space separated by large free-energy barriers. This is so for…

Statistical Mechanics · Physics 2010-11-11 Carlos E. Fiore , M. G. E. da Luz

Scientific software is often driven by multiple parameters that affect both accuracy and performance. Since finding the optimal configuration of these parameters is a highly complex task, it extremely common that the software is used…

Computational Engineering, Finance, and Science · Computer Science 2016-08-17 Diego Fabregat-Traver , Ahmed E. Ismail , Paolo Bientinesi

ReParameterization (RP) Policy Gradient Methods (PGMs) have been widely adopted for continuous control tasks in robotics and computer graphics. However, recent studies have revealed that, when applied to long-term reinforcement learning…

Machine Learning · Computer Science 2023-11-01 Shenao Zhang , Boyi Liu , Zhaoran Wang , Tuo Zhao

We consider the problem of signal estimation (denoising) from a statistical mechanical perspective, using a relationship between the minimum mean square error (MMSE), of estimating a signal, and the mutual information between this signal…

Information Theory · Computer Science 2016-11-17 Neri Merhav , Dongning Guo , Shlomo Shamai

This two-part work considers the minimum means square error (MMSE) estimation problem for a high dimensional multi-layer generalized linear model (ML-GLM), which resembles a feed-forward fully connected deep learning network in that each of…

Information Theory · Computer Science 2020-07-21 Haochuan Zhang , Qiuyun Zou , Hongwen Yang

In astrophysical (inverse) regression problems it is an important task to decide whether a given parametric model describes the observational data sufficiently well or whether a non-parametric modelling becomes necessary. However, in…

Astrophysics · Physics 2009-11-07 N. Bissantz , A. Munk , A. Scholz

Many parallel and distributed computing research results are obtained in simulation, using simulators that mimic real-world executions on some target system. Each such simulator is configured by picking values for parameters that define the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-03 Jesse McDonald , Maximilian Horzela , Frédéric Suter , Henri Casanova

Propensity Score Matching (PSM) stands as a widely embraced method in comparative effectiveness research. PSM crafts matched datasets, mimicking some attributes of randomized designs, from observational data. In a valid PSM design where all…

Methodology · Statistics 2024-11-15 Fei Wan

We investigate mismatched estimation in the context of the distance geometry problem (DGP). In the DGP, for a set of points, we are given noisy measurements of pairwise distances between the points, and our objective is to determine the…

Signal Processing · Electrical Eng. & Systems 2022-06-14 Mahmoud Abdelkhalek , Dror Baron , Chau-Wai Wong
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