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We consider a high-dimensional mean estimation problem over a binary hidden Markov model, which illuminates the interplay between memory in data, sample size, dimension, and signal strength in statistical inference. In this model, an…

Statistics Theory · Mathematics 2022-10-13 Yihan Zhang , Nir Weinberger

In distributed, or privacy-preserving learning, we are often given a set of probabilistic models estimated from different local repositories, and asked to combine them into a single model that gives efficient statistical estimation. A…

Machine Learning · Statistics 2017-03-01 Jun Han , Qiang Liu

We propose a hybrid method combining partial differential equation (PDE) and Monte Carlo (MC) techniques to obtain efficient estimates of statistics for plastic deformation related to kinematic hardening models driven by transient coloured…

Statistical Mechanics · Physics 2025-11-12 Harry L. F. Ip , Charlie Mathey , Laurent Mertz , Jonathan J. Wylie

For linear systems, many data-driven control methods rely on the behavioral framework, using historical data of the system to predict the future trajectories. However, measurement noise introduces errors in predictions. When the noise is…

Optimization and Control · Mathematics 2023-08-29 Baiwei Guo , Yuning Jiang , Colin N. Jones , Giancarlo Ferrari-Trecate

We apply classical and Bayesian lasso regularizations to a family of models with the presence of mixture and process variables. We analyse the performance of these estimates with respect to ordinary least squares estimators by a simulation…

Dynamic Mode Decomposition (DMD) is a data-driven method for approximating the spatiotemporal modes of a system. The eigenvectors and eigenvalues of the system are approximated from a series of time-snapshots of the state variables. The…

Computational Engineering, Finance, and Science · Computer Science 2026-04-17 William Bennett , Ryan G. McClarren , Ethan Smith , Melek Derman

The Regression Discontinuity Design (RDD) is a quasi-experimental design that estimates the causal effect of a treatment when its assignment is defined by a threshold value for a continuous assignment variable. The RDD assumes that subjects…

Applications · Statistics 2020-03-27 Federico Ricciardi , Silvia Liverani , Gianluca Baio

In recent years, a new method for experimental nonlinear modal analysis has been developed, which is based on the extended periodic motion concept. The method is well suited to experimentally obtain amplitude-dependent modal properties…

Systems and Control · Electrical Eng. & Systems 2021-08-16 Maren Scheel

Ensuring the long-term reproducibility of data analyses requires results stability tests to verify that analysis results remain within acceptable variation bounds despite inevitable software updates and hardware evolutions. This paper…

We investigate nonlinear state-space models without a closed-form transition density, and propose reformulating such models over their latent noise variables rather than their latent state variables. In doing so the tractable noise density…

Computation · Statistics 2013-12-11 Lawrence M. Murray , Emlyn M. Jones , John Parslow

Large high-dimensional datasets are becoming more and more popular in an increasing number of research areas. Processing the high dimensional data incurs a high computational cost and is inherently inefficient since many of the values that…

Computer Vision and Pattern Recognition · Computer Science 2013-05-01 Alon Schclar

Instance-dependent label noise is realistic but rather challenging, where the label-corruption process depends on instances directly. It causes a severe distribution shift between the distributions of training and test data, which impairs…

Machine Learning · Computer Science 2022-10-12 Manyi Zhang , Yuxin Ren , Zihao Wang , Chun Yuan

We propose a method to detect model misspecifications in nonlinear causal additive and potentially heteroscedastic noise models. We aim to identify predictor variables for which we can infer the causal effect even in cases of such…

Methodology · Statistics 2024-03-28 Christoph Schultheiss , Peter Bühlmann

Testing procedures for assessing specific parametric model forms, or for checking the plausibility of simplifying assumptions, play a central role in the mathematical treatment of the uncertain. No certain answers are obtained by testing…

Inference in hierarchical nonlinear models needs careful consideration about targeting parameters that have either a conditional or population-average interpretation. For the special case of mixed-effects nonlinear sigmoidal models we…

Applications · Statistics 2017-07-11 Daniel Gerhard , Christian Ritz

Our article addresses the problem of flexibly estimating a multivariate density while also attempting to estimate its marginals correctly. We do so by proposing two new estimators that try to capture the best features of mixture of normals…

Methodology · Statistics 2009-01-05 Paolo Giordani , Xiuyan Mun , Robert Kohn

Accurate measurement of spatially variant noise in dynamic magnetic resonance (MR) images acquired using parallel imaging methods is problematic. We propose a new method based on the random matrix theory to accurately assess the noise…

Data Analysis, Statistics and Probability · Physics 2009-06-10 Yu Ding , Yiu-Cho Chung , Orlando P. Simonetti

Deep Metric Learning (DML) plays a critical role in various machine learning tasks. However, most existing deep metric learning methods with binary similarity are sensitive to noisy labels, which are widely present in real-world data. Since…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Jiexi Yan , Lei Luo , Cheng Deng , Heng Huang

Mediation analysis has become an important tool in the behavioral sciences for investigating the role of intermediate variables that lie in the path between a randomized treatment and an outcome variable. The influence of the intermediate…

A procedure based on a Mixture Density Model for correcting experimental data for distortions due to finite resolution and limited detector acceptance is presented. Addressing the case that the solution is known to be non-negative, in the…

Data Analysis, Statistics and Probability · Physics 2015-03-09 Nikolai Gagunashvili
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