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We revisit the problem of estimating the parameters of a partially observed diffusion process, consisting of a hidden state process and an observed process, with a continuous time parameter. The estimation is to be done online, i.e. the…

Optimization and Control · Mathematics 2018-10-16 Simone Carlo Surace , Jean-Pascal Pfister

This article describes posterior maximization for topic models, identifying computational and conceptual gains from inference under a non-standard parametrization. We then show that fitted parameters can be used as the basis for a novel…

Applications · Statistics 2011-12-30 Matthew A. Taddy

We present a new algorithm for identifying the transition and emission probabilities of a hidden Markov model (HMM) from the emitted data. Expectation-maximization becomes computationally prohibitive for long observation records, which are…

Computation and Language · Computer Science 2018-06-20 Kejun Huang , Xiao Fu , Nicholas D. Sidiropoulos

We will outline novel approaches to derive model invariants for hidden Markov and related models. These approaches are based on a theoretical framework that arises from viewing random processes as elements of the vector space of string…

Statistics Theory · Mathematics 2009-02-08 Alexander Schoenhuth

This manuscript is a supplemental document providing the omitted material for our paper entitled "Nonparametric kernel estimation of the probability density function of regression errors using estimated residuals" [arXiv:1010.0439]. The…

Statistics Theory · Mathematics 2012-03-27 Rawane Samb

We propose a Bayesian nonparametric mixture model for prediction- and information extraction tasks with an efficient inference scheme. It models categorical-valued time series that exhibit dynamics from multiple underlying patterns (e.g.…

Machine Learning · Statistics 2017-06-21 Jan Reubold , Thorsten Strufe , Ulf Brefeld

We propose a novel, tractable latent state inference scheme for Markov jump processes, for which exact inference is often intractable. Our approach is based on an entropic matching framework that can be embedded into the well-known…

Machine Learning · Computer Science 2026-02-27 Yannick Eich , Bastian Alt , Heinz Koeppl

Rejoinder to ``Boosting Algorithms: Regularization, Prediction and Model Fitting'' [arXiv:0804.2752]

Methodology · Statistics 2008-12-18 Peter Bühlmann , Torsten Hothorn

Supplementary Material for "Estimation of a Multiplicative Correlation Structure in the Large Dimensional Case"

Statistics Theory · Mathematics 2019-05-23 Christian M. Hafner , Oliver B. Linton , Haihan Tang

In this paper we develop a linear expectile hidden Markov model for the analysis of cryptocurrency time series in a risk management framework. The methodology proposed allows to focus on extreme returns and describe their temporal evolution…

Applications · Statistics 2024-01-19 Beatrice Foroni , Luca Merlo , Lea Petrella

The paper introduces a generalization for known probabilistic models such as log-linear and graphical models, called here multiplicative models. These models, that express probabilities via product of parameters are shown to capture…

Artificial Intelligence · Computer Science 2012-06-18 Ydo Wexler , Christopher Meek

Non-homogeneous hidden Markov models (NHHMM) are a subclass of dependent mixture models used for semi-supervised learning, where both transition probabilities between the latent states and mean parameter of the probability distribution of…

Machine Learning · Statistics 2019-12-23 Aliaksandr Hubin

Motivated by applications in movement ecology, in this paper I propose a new class of integrated continuous-time hidden Markov models in which each observation depends on the underlying state of the process over the whole interval since the…

Methodology · Statistics 2019-10-01 Paul G Blackwell

In this supplementary appendix we provide proofs and additional extensive simulations that complement the analysis of the main paper (constrained perturbation regularization approach for signal estimation using random matrix theory).

Information Theory · Computer Science 2016-11-23 Mohamed Suliman , Tarig Ballal , Abla Kammoun , Tareq Y. Al-Naffouri

We develop a predictive-first optimisation framework for streaming hidden Markov models. Unlike classical approaches that prioritise full posterior recovery under a fully specified generative model, we assume access to regime-specific…

Machine Learning · Statistics 2026-04-13 Gerardo Duran-Martin

Reversibility is a key concept in Markov models and Master-equation models of molecular kinetics. The analysis and interpretation of the transition matrix encoding the kinetic properties of the model relies heavily on the reversibility…

Chemical Physics · Physics 2015-09-23 Benjamin Trendelkamp-Schroer , Hao Wu , Fabian Paul , Frank Noé

This work proposes a multi-agent filtering algorithm over graphs for finite-state hidden Markov models (HMMs), which can be used for sequential state estimation or for tracking opinion formation over dynamic social networks. We show that…

Signal Processing · Electrical Eng. & Systems 2022-03-10 Mert Kayaalp , Virginia Bordignon , Stefan Vlaski , Ali H. Sayed

We consider the problem of joint modelling of metabolic signals and gene expression in systems biology applications. We propose an approach based on input-output factorial hidden Markov models and propose a structured variational inference…

Machine Learning · Statistics 2013-05-20 Botond Cseke , Guido Sanguinetti

We present statistical methods for big data arising from online analytical processing, where large amounts of data arrive in streams and require fast analysis without storage/access to the historical data. In particular, we develop…

Computation · Statistics 2018-06-13 Elizabeth D. Schifano , Jing Wu , Chun Wang , Jun Yan , Ming-Hui Chen

We comment on some conceptual and and technical problems related to computational mechanics, point out some errors in several papers, and straighten out some wrong priority claims. We present explicitly the correct algorithm for…

Data Analysis, Statistics and Probability · Physics 2018-04-09 Peter Grassberger