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Simulation-based inference techniques are indispensable for parameter estimation of mechanistic and simulable models with intractable likelihoods. While traditional statistical approaches like approximate Bayesian computation and Bayesian…

Methodology · Statistics 2024-03-08 Ryan P. Kelly , David J. Nott , David T. Frazier , David J. Warne , Chris Drovandi

In system identification, estimating parameters of a model using limited observations results in poor identifiability. To cope with this issue, we propose a new method to simultaneously select and estimate sensitive parameters as key model…

This is a technical report that extends and clarifies the results presented in [1]. The model identification problem for asymptotically stable linear time invariant systems is considered. The system output is affected by an additive noise…

Optimization and Control · Mathematics 2018-09-05 Marco Lauricella , Lorenzo Fagiano

The quest for precision in parameter estimation is a fundamental task in different scientific areas. The relevance of this problem thus provided the motivation to develop methods for the application of quantum resources to estimation…

Quantum Physics · Physics 2024-06-18 Valeria Cimini , Emanuele Polino , Mauro Valeri , Nicolò Spagnolo , Fabio Sciarrino

Bayesian inference is a powerful tool for combining information in complex settings, a task of increasing importance in modern applications. However, Bayesian inference with a flawed model can produce unreliable conclusions. This review…

Methodology · Statistics 2023-05-22 David J. Nott , Christopher Drovandi , David T. Frazier

We propose new compressive parameter estimation algorithms that make use of polar interpolation to improve the estimator precision. Our work extends previous approaches involving polar interpolation for compressive parameter estimation in…

Information Theory · Computer Science 2016-11-17 Karsten Fyhn , Marco F. Duarte , Søren Holdt Jensen

Every prediction is ultimately used in a downstream task. Consequently, evaluating prediction quality is more meaningful when considered in the context of its downstream use. Metrics based solely on predictive performance often diverge from…

Machine Learning · Computer Science 2025-08-26 Novin Shahroudi , Viacheslav Komisarenko , Meelis Kull

In the era of Model-as-a-Service, organizations increasingly rely on third-party AI models for rapid deployment. However, the dynamic nature of emerging AI applications, the continual introduction of new datasets, and the growing number of…

Machine Learning · Computer Science 2026-02-10 Zihan Zhu , Yanqiu Wu , Qiongkai Xu

The paper studies distributed static parameter (vector) estimation in sensor networks with nonlinear observation models and noisy inter-sensor communication. It introduces \emph{separably estimable} observation models that generalize the…

Multiagent Systems · Computer Science 2012-05-21 Soummya Kar , Jose M. F. Moura , Kavita Ramanan

While the importance of automatic image analysis is continuously increasing, recent meta-research revealed major flaws with respect to algorithm validation. Performance metrics are particularly key for meaningful, objective, and transparent…

Image and Video Processing · Electrical Eng. & Systems 2023-12-08 Annika Reinke , Minu D. Tizabi , Carole H. Sudre , Matthias Eisenmann , Tim Rädsch , Michael Baumgartner , Laura Acion , Michela Antonelli , Tal Arbel , Spyridon Bakas , Peter Bankhead , Arriel Benis , Matthew Blaschko , Florian Buettner , M. Jorge Cardoso , Jianxu Chen , Veronika Cheplygina , Evangelia Christodoulou , Beth Cimini , Gary S. Collins , Sandy Engelhardt , Keyvan Farahani , Luciana Ferrer , Adrian Galdran , Bram van Ginneken , Ben Glocker , Patrick Godau , Robert Haase , Fred Hamprecht , Daniel A. Hashimoto , Doreen Heckmann-Nötzel , Peter Hirsch , Michael M. Hoffman , Merel Huisman , Fabian Isensee , Pierre Jannin , Charles E. Kahn , Dagmar Kainmueller , Bernhard Kainz , Alexandros Karargyris , Alan Karthikesalingam , A. Emre Kavur , Hannes Kenngott , Jens Kleesiek , Andreas Kleppe , Sven Kohler , Florian Kofler , Annette Kopp-Schneider , Thijs Kooi , Michal Kozubek , Anna Kreshuk , Tahsin Kurc , Bennett A. Landman , Geert Litjens , Amin Madani , Klaus Maier-Hein , Anne L. Martel , Peter Mattson , Erik Meijering , Bjoern Menze , David Moher , Karel G. M. Moons , Henning Müller , Brennan Nichyporuk , Felix Nickel , M. Alican Noyan , Jens Petersen , Gorkem Polat , Susanne M. Rafelski , Nasir Rajpoot , Mauricio Reyes , Nicola Rieke , Michael Riegler , Hassan Rivaz , Julio Saez-Rodriguez , Clara I. Sánchez , Julien Schroeter , Anindo Saha , M. Alper Selver , Lalith Sharan , Shravya Shetty , Maarten van Smeden , Bram Stieltjes , Ronald M. Summers , Abdel A. Taha , Aleksei Tiulpin , Sotirios A. Tsaftaris , Ben Van Calster , Gaël Varoquaux , Manuel Wiesenfarth , Ziv R. Yaniv , Paul Jäger , Lena Maier-Hein

Incomplete data are common in practical applications. Most predictive machine learning models do not handle missing values so they require some preprocessing. Although many algorithms are used for data imputation, we do not understand the…

Machine Learning · Statistics 2020-07-07 Katarzyna Woźnica , Przemysław Biecek

In this article, the analysis of misspecification was extended to the recently introduced stochastic restricted biased estimators when multicollinearity exists among the explanatory variables. The Stochastic Restricted Ridge Estimator…

Statistics Theory · Mathematics 2018-04-13 Manickavasagar Kayanan , Pushpakanthie Wijekoon

Frequency estimation from measurements corrupted by noise is a fundamental challenge across numerous engineering and scientific fields. Among the pivotal factors shaping the resolution capacity of any frequency estimation technique are…

Signal Processing · Electrical Eng. & Systems 2024-09-23 Sampath Kumar Dondapati , Omkar Nitsure , Satish Mulleti

Data-driven optimization aims to translate a machine learning model into decision-making by optimizing decisions on estimated costs. Such a pipeline can be conducted by fitting a distributional model which is then plugged into the target…

Machine Learning · Computer Science 2025-03-17 Adam N. Elmachtoub , Henry Lam , Haixiang Lan , Haofeng Zhang

In the era of increasingly complex AI models for time series forecasting, progress is often measured by marginal improvements on benchmark leaderboards. However, this approach suffers from a fundamental flaw: standard evaluation metrics…

Machine Learning · Computer Science 2026-05-28 Wanjin Feng , Yuan Yuan , Jingtao Ding , Yong Li

We assume the direct sum <A> o <B> for the signal subspace. As a result of post- measurement, a number of operational contexts presuppose the a priori knowledge of the LB -dimensional "interfering" subspace <B> and the goal is to estimate…

Applications · Statistics 2017-04-17 Guillaume Bouleux , Rémy Boyer

We study the problem of estimating an unknown parameter in a distributed and online manner. Existing work on distributed online learning typically either focuses on asymptotic analysis, or provides bounds on regret. However, these results…

Systems and Control · Electrical Eng. & Systems 2022-09-15 Lei Xin , George Chiu , Shreyas Sundaram

Complex biological processes are usually experimented along time among a collection of individuals. Longitudinal data are then available and the statistical challenge is to better understand the underlying biological mechanisms. The…

Statistics Theory · Mathematics 2015-06-11 Pierre Barbillon , Célia Barthélémy , Adeline Samson

Regression splines are largely used to investigate and predict data behavior, attracting the interest of mathematicians for their beautiful numerical properties, and of statisticians for their versatility with respect to the applications.…

Methodology · Statistics 2025-01-09 Rosanna Campagna , Serena Crisci , Gabriele Santin , Gerardo Toraldo , Marco Viola

Estimating signals underlying noisy data is a significant problem in statistics and engineering. Numerous estimators are available in the literature, depending on the observation model and estimation criterion. This paper introduces a…

Methodology · Statistics 2023-05-09 Woo Min Kim , Sutanoy Dasgupta , Anuj Srivastava