Robust Classification using Hidden Markov Models and Mixtures of Normalizing Flows
Anubhab Ghosh, Antoine Honor\'e, Dong Liu, Gustav Eje Henter, Saikat, Chatterjee

TL;DR
This paper introduces NMM-HMM, a generative model combining HMMs and neural network-based distributions, which enhances robustness in sequential data classification tasks like speech recognition by integrating normalizing flows.
Contribution
The paper proposes the NMM-HMM model that integrates hidden Markov models with neural network-based probability distributions using normalizing flows, trained via EM and backpropagation.
Findings
NMM-HMM improves robustness in speech recognition.
The model effectively combines HMMs with neural network distributions.
Experimental results show enhanced noise resilience.
Abstract
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) and the neural network based probability distributions for the hidden states of the HMM, can provide a robust classification performance. The combined model is called normalizing-flow mixture model based HMM (NMM-HMM). It can be trained using a combination of expectation-maximization (EM) and backpropagation. We verify the improved robustness of NMM-HMM classifiers in an application to speech recognition.
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