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We test the robustness of a maximum-likelihood (ML) based classifier where sequential data as observation is corrupted by noise. The hypothesis is that a generative model, that combines the state transitions of a hidden Markov model (HMM)…

Machine Learning · Computer Science 2021-02-16 Anubhab Ghosh , Antoine Honoré , Dong Liu , Gustav Eje Henter , Saikat Chatterjee

As deep neural networks continue to revolutionize various application domains, there is increasing interest in making these powerful models more understandable and interpretable, and narrowing down the causes of good and bad predictions. We…

Machine Learning · Statistics 2016-10-04 Viktoriya Krakovna , Finale Doshi-Velez

The goal of this contribution is to use a parametric speech synthesis system for reducing background noise and other interferences from recorded speech signals. In a first step, Hidden Markov Models of the synthesis system are trained. Two…

Sound · Computer Science 2017-07-06 Daniel Dzibela , Armin Sehr

Hidden semi-Markov models (HSMMs) are latent variable models which allow latent state persistence and can be viewed as a generalization of the popular hidden Markov models (HMMs). In this paper, we introduce a novel spectral algorithm to…

Machine Learning · Statistics 2016-03-01 Igor Melnyk , Arindam Banerjee

We propose an information theoretic framework for quantitative assessment of acoustic modeling for hidden Markov model (HMM) based automatic speech recognition (ASR). Acoustic modeling yields the probabilities of HMM sub-word states for a…

Sound · Computer Science 2017-11-09 Pranay Dighe , Afsaneh Asaei , Hervé Bourlard

As deep neural networks continue to revolutionize various application domains, there is increasing interest in making these powerful models more understandable and interpretable, and narrowing down the causes of good and bad predictions. We…

Machine Learning · Statistics 2016-11-21 Viktoriya Krakovna , Finale Doshi-Velez

Hidden Markov models and their variants are the predominant sequential classification method in such domains as speech recognition, bioinformatics and natural language processing. Being generative rather than discriminative models, however,…

Machine Learning · Statistics 2013-02-18 John A. Quinn , Masashi Sugiyama

Training automatic speech recognition (ASR) models increasingly relies on decentralized federated learning to ensure data privacy and accessibility, producing multiple local models that require effective merging. In hybrid ASR systems,…

Computation and Language · Computer Science 2026-03-06 Mengze Hong , Yi Gu , Di Jiang , Hanlin Gu , Chen Jason Zhang , Lu Wang , Zhiyang Su

Hidden Markov model (HMM) has been successfully used for sequential data modeling problems. In this work, we propose to power the modeling capacity of HMM by bringing in neural network based generative models. The proposed model is termed…

Machine Learning · Computer Science 2020-05-26 Dong Liu , Antoine Honoré , Saikat Chatterjee , Lars K. Rasmussen

We show that maximum entropy (maxent) models can be modeled with certain kinds of HMMs, allowing us to construct maxent models with hidden variables, hidden state sequences, or other characteristics. The models can be trained using the…

Artificial Intelligence · Computer Science 2013-01-07 Joshua Goodman

Hidden Markov Models (HMM) have been used for several years in many time series analysis or pattern recognitions tasks. HMM are often trained by means of the Baum-Welch algorithm which can be seen as a special variant of an expectation…

Machine Learning · Computer Science 2016-05-30 Christian Gruhl , Bernhard Sick

State space models have long played an important role in signal processing. The Gaussian case can be treated algorithmically using the famous Kalman filter. Similarly since the 1970s there has been extensive application of Hidden Markov…

Statistics Theory · Mathematics 2007-06-13 Peter Bickel , Yaacov Ritov , Tobias Rydén

Model merging aims to combine multiple task-specific expert models into a single model without joint retraining, offering a practical alternative to multi-task learning when data access or computational budget is limited. Existing methods,…

Machine Learning · Computer Science 2026-05-14 Kaiyang Li , Shaobo Han , Qing Su , Shihao Ji

Model merging combines the parameters of multiple neural networks into a single model without additional training. As fine-tuned large language models (LLMs) proliferate, merging offers a computationally efficient alternative to ensembles…

Computation and Language · Computer Science 2026-03-31 Mingyang Song , Mao Zheng

Hidden Markov Models (HMM) model a sequence of observations that are dependent on a hidden (or latent) state that follow a Markov chain. These models are widely used in diverse fields including ecology, speech recognition, and…

Optimization and Control · Mathematics 2024-09-05 Sidonie Foulon , Thérèse Truong , Anne-Louise Leutenegger , Hervé Perdry

This work attempts to approximate a linear Gaussian system with a finite-state hidden Markov model (HMM), which is found useful in solving sophisticated event-based state estimation problems. An indirect modeling approach is developed,…

Systems and Control · Electrical Eng. & Systems 2020-07-10 Kaikai Zheng , Dawei Shi , Ling Shi

As one of Bayesian analysis tools, Hidden Markov Model (HMM) has been used to in extensive applications. Most HMMs are solved by Baum-Welch algorithm (BWHMM) to predict the model parameters, which is difficult to find global optimal…

Machine Learning · Statistics 2018-11-09 L. Chang , Yacine Ouzrout , Antoine Nongaillard , Abdelaziz Bouras

The Baum-Welch (B-W) algorithm is the most widely accepted method for inferring hidden Markov models (HMM). However, it is prone to getting stuck in local optima, and can be too slow for many real-time applications. Spectral learning of…

Machine Learning · Statistics 2024-08-27 Xiaoyuan Ma , Jordan Rodu

In unsupervised classification, Hidden Markov Models (HMM) are used to account for a neighborhood structure between observations. The emission distributions are often supposed to belong to some parametric family. In this paper, a…

Machine Learning · Statistics 2012-06-25 Stevenn Volant , Caroline Bérard , Marie-Laure Martin-Magniette , Stéphane Robin

We study a phase transition in parameter learning of Hidden Markov Models (HMMs). We do this by generating sequences of observed symbols from given discrete HMMs with uniformly distributed transition probabilities and a noise level encoded…

Statistical Mechanics · Physics 2021-10-13 Nikita Rau , Jörg Lücke , Alexander K. Hartmann