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This paper proposes maximum (quasi)likelihood estimation for high dimensional factor models with regime switching in the loadings. The model parameters are estimated jointly by the EM (expectation maximization) algorithm, which in the…

Econometrics · Economics 2023-04-11 Giovanni Urga , Fa Wang

Extracting information efficiently from quantum systems is a major component of quantum information processing tasks. Randomized measurements, or classical shadows, enable predicting many properties of arbitrary quantum states using few…

Multi-sensor state space models underpin fusion applications in networks of sensors. Estimation of latent parameters in these models has the potential to provide highly desirable capabilities such as network self-calibration. Conventional…

Systems and Control · Computer Science 2018-01-04 Murat Uney , Bernard Mulgrew , Daniel E Clark

The paper addresses the problem of estimation of the model parameters of the logistic exponential distribution based on progressive type-I hybrid censored sample. The maximum likelihood estimates are obtained and computed numerically using…

Applications · Statistics 2023-02-13 Subhankar Dutta , Suchandan Kayal

We present a maximum-likelihood method for parameter estimation in terahertz time-domain spectroscopy. We derive the likelihood function for a parameterized frequency response function, given a pair of time-domain waveforms with known…

Data Analysis, Statistics and Probability · Physics 2023-04-18 Laleh Mohtashemi , Paul Westlund , Derek G. Sahota , Graham B. Lea , Ian Bushfield , Payam Mousavi , J. Steven Dodge

This paper combines probabilistic and algebraic techniques for computing quantum expectations of operator exponentials (and their products) of quadratic forms of quantum variables in Gaussian states. Such quadratic-exponential functionals…

Quantum Physics · Physics 2018-09-19 Igor G. Vladimirov , Ian R. Petersen , Matthew R. James

Implementing Bayesian inference is often computationally challenging in applications involving complex models, and sometimes calculating the likelihood itself is difficult. Synthetic likelihood is one approach for carrying out inference…

Computation · Statistics 2021-03-15 David T. Frazier , David J. Nott , Christopher Drovandi , Robert Kohn

Classic Bayesian methods with complex models are frequently infeasible due to an intractable likelihood. Simulation-based inference methods, such as Approximate Bayesian Computing (ABC), calculate posteriors without accessing a likelihood…

Computation · Statistics 2026-01-09 Elliot Maceda , Emily C. Hector , Amanda Lenzi , Brian J. Reich

The Bayes factor, the data-based updating factor of the prior to posterior odds of two hypotheses, is a natural measure of statistical evidence for one hypothesis over the other. We show how Bayes factors can also be used for parameter…

Methodology · Statistics 2025-07-09 Samuel Pawel

Ultra-fast, precise, and controlled amplitude surrogates are essential for future LHC event generation. First, we investigate the noise reduction and biases of network ensembles and outline a new method to learn well-calibrated systematic…

High Energy Physics - Phenomenology · Physics 2026-04-09 Henning Bahl , Nina Elmer , Tilman Plehn , Ramon Winterhalder

Approximate Bayesian inference methods provide a powerful suite of tools for finding approximations to intractable posterior distributions. However, machine learning applications typically involve selecting actions, which -- in a Bayesian…

Machine Learning · Statistics 2022-01-11 Michael J. Morais , Jonathan W. Pillow

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using a…

Machine Learning · Statistics 2023-05-02 Aliaksandr Hubin , Geir Storvik

Recently there has been a great deal of interest surrounding the calibration of quantum sensors using machine learning techniques. In this work, we explore the use of regression to infer a machine-learned point estimate of an unknown…

Quantum Physics · Physics 2024-06-19 Samuel P. Nolan , Luca Pezzè , Augusto Smerzi

The machine learning community has recently put effort into quantized or low-precision arithmetics to scale large models. This paper proposes performing probabilistic inference in the quantized, discrete parameter space created by these…

Machine Learning · Computer Science 2025-08-20 Aleksanteri Sladek , Martin Trapp , Arno Solin

We present a framework for robust electric network frequency (ENF) extraction from real-world audio recordings, featuring multi-tone ENF harmonic enhancement and graph-based optimal harmonic selection. Specifically, We first extend the…

Sound · Computer Science 2021-08-03 Guang Hua , Han Liao , Haijian Zhang , Dengpan Ye , Jiayi Ma

Robust Bayesian analysis has been mainly devoted to detecting and measuring robustness w.r.t. the prior distribution. Many contributions in the literature aim to define suitable classes of priors which allow the computation of variations of…

Statistics Theory · Mathematics 2025-09-04 Antonio Di Noia , Fabrizio Ruggeri , Antonietta Mira

FeFETs hold strong potential for advancing memory and logic technologies, but their inherent randomness arising from both operational cycling and fabrication variability poses significant challenges for accurate and reliable modeling.…

Machine Learning · Computer Science 2025-08-06 Tasnia Nobi Afee , Jack Hutchins , Md Mazharul Islam , Thomas Kampfe , Ahmedullah Aziz

Parameter ensembles or sets of random effects constitute one of the cornerstones of modern statistical practice. This is especially the case in Bayesian hierarchical models, where several decision theoretic frameworks can be deployed. The…

Statistics Theory · Mathematics 2015-03-19 Cedric E. Ginestet

We propose a new, two-step empirical Bayes-type of approach for neural networks. We show in context of the nonparametric regression model that the procedure (up to a logarithmic factor) provides optimal recovery of the underlying functional…

Statistics Theory · Mathematics 2022-04-29 Stefan Franssen , Botond Szabó

When collaborating with an AI system, we need to assess when to trust its recommendations. If we mistakenly trust it in regions where it is likely to err, catastrophic failures may occur, hence the need for Bayesian approaches for…

Artificial Intelligence · Computer Science 2021-02-23 Federico Cerutti , Lance M. Kaplan , Angelika Kimmig , Murat Sensoy