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Chromosomal DNA is characterized by variation between individuals at the level of entire chromosomes (e.g., aneuploidy in which the chromosome copy number is altered), segmental changes (including insertions, deletions, inversions, and…

Applications · Statistics 2008-07-30 Robert B. Scharpf , Giovanni Parmigiani , Jonathan Pevsner , Ingo Ruczinski

The hidden Markov model (HMM) has been a workhorse of single molecule data analysis and is now commonly used as a standalone tool in time series analysis or in conjunction with other analyses methods such as tracking. Here we provide a…

Data Analysis, Statistics and Probability · Physics 2017-06-28 Ioannis Sgouralis , Steve Presse

In derivative-free and blackbox optimization, the objective function is often evaluated through the execution of a computer program seen as a blackbox. It can be noisy, in the sense that its outputs are contaminated by random errors.…

Optimization and Control · Mathematics 2019-11-15 Stéphane Alarie , Charles Audet , Pierre-Yves Bouchet , Sébastien Le Digabel

We study the frontier between learnable and unlearnable hidden Markov models (HMMs). HMMs are flexible tools for clustering dependent data coming from unknown populations. The model parameters are known to be fully identifiable (up to…

Machine Learning · Statistics 2022-10-25 Kweku Abraham , Zacharie Naulet , Elisabeth Gassiat

This paper presents a finite difference quasi-Newton method for the minimization of noisy functions. The method takes advantage of the scalability and power of BFGS updating, and employs an adaptive procedure for choosing the differencing…

Optimization and Control · Mathematics 2019-01-09 Albert S. Berahas , Richard H. Byrd , Jorge Nocedal

We consider Markov models of stochastic processes where the next-step conditional distribution is defined by a kernel density estimator (KDE), similar to Markov forecast densities and certain time-series bootstrap schemes. The KDE Markov…

Machine Learning · Computer Science 2018-07-31 Gustav Eje Henter , Arne Leijon , W. Bastiaan Kleijn

Given nonstationary data, one generally wants to extract the trend from the noise by smoothing or filtering. However, it is often important to delineate a third intermediate category, that we call high frequency (HF) features: this is the…

Signal Processing · Electrical Eng. & Systems 2019-12-02 Mathieu Mezache , Marc Hoffmann , Human Rezaei , Marie Doumic

Hidden Markov models (HMMs) are probabilistic methods in which observations are seen as realizations of a latent Markov process with discrete states that switch over time. Moving beyond standard statistical tests, HMMs offer a statistical…

Methodology · Statistics 2024-03-20 S. Mildiner Moraga , E. Aarts

We propose a two-step algorithm for the construction of a Hidden Markov Model (HMM) of assigned size, i.e. cardinality of the state space of the underlying Markov chain, whose $n$-dimensional distribution is closest in divergence to a given…

Optimization and Control · Mathematics 2023-02-27 L. Finesso , A. Grassi , P. Spreij

Quantum error mitigation(QEM), an error suppression strategy without the need for additional ancilla qubits for noisy intermediate-scale quantum~(NISQ) devices, presents a promising avenue for realizing quantum speedups of quantum computing…

Quantum Physics · Physics 2025-10-28 Ke Wang , Xiantao Li

Automated fault localization is an important issue in model validation and verification. It helps the end users in analyzing the origin of failure. In this work, we show the early experiments with probabilistic analysis approaches in fault…

Software Engineering · Computer Science 2016-11-21 Ning Ge , Marc Pantel , Xavier Crégut

In this article, we use the theory of quantum channels and open quantum systems to provide an efficient unitary characterization of a class of stochastic generators known as quantum hidden Markov models (QHMMs). By utilizing the unitary…

Quantum Physics · Physics 2025-02-27 Vanio Markov , Vladimir Rastunkov , Amol Deshmukh , Daniel Fry , Charlee Stefanski

In this work, we present a new simple way to encode/decode messages transmitted via a noisy channel and protected against errors by the Hamming method. We also propose a fast and efficient algorithm for the encoding and the decoding process…

Information Theory · Computer Science 2022-01-07 Omar Khadir

The Pseudo-Marginal (PM) algorithm is a popular Markov chain Monte Carlo (MCMC) method used to sample from a target distribution when its density is inaccessible, but can be estimated with a non-negative unbiased estimator. Its performance…

Computation · Statistics 2025-09-30 Sarra Abaoubida , Mylène Bédard , Florian Maire

Structural equation modelling (SEM) is a multivariate statistical technique for estimating complex relationships between observed and latent variables. Although numerous SEM packages exist, each of them has limitations. Some packages are…

Applications · Statistics 2021-06-02 Meshcheryakov Georgy , Igolkina Anna

This paper addresses the issue of model selection for hidden Markov models (HMMs). We generalize factorized asymptotic Bayesian inference (FAB), which has been recently developed for model selection on independent hidden variables (i.e.,…

Machine Learning · Computer Science 2012-06-22 Ryohei Fujimaki , Kohei Hayashi

We demonstrate the application of pattern recognition algorithms via hidden Markov models (HMM) for qubit readout. This scheme provides a state-path trajectory approach capable of detecting qubit state transitions and makes for a robust…

Quantum Physics · Physics 2021-01-04 Luis A. Martinez , Yaniv J. Rosen , Jonathan L. DuBois

This paper presents an "elitist approach" for extracting automatically well-realized speech sounds with high confidence. The elitist approach uses a speech recognition system based on Hidden Markov Models (HMM). The HMM are trained on…

Computation and Language · Computer Science 2007-05-23 Jean-Baptiste Maj , Anne Bonneau , Dominique Fohr , Yves Laprie

In resent years, the software ecosystem for numerical simulation still remains fragmented, with different algorithms and discretization methods often implemented in isolation, each with distinct data structures and programming conventions.…

Numerical Analysis · Mathematics 2026-03-10 Yangyang Zheng , Huayi Wei , Yunqing Huang , Chunyu Chen , Tian Tian , Hanbin Liu , Wenbin Wang , Liang He

The paper deals with state estimation of a spatially distributed system given noisy measurements from pointwise-in-time-and-space threshold sensors spread over the spatial domain of interest. A Maximum A posteriori Probability (MAP)…

Systems and Control · Electrical Eng. & Systems 2019-09-24 Giorgio Battistelli , Luigi Chisci , Nicola Forti , Stefano Gherardini