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Robust Classification using Hidden Markov Models and Mixtures of Normalizing Flows
Machine Learning · Submitted 15 Feb 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We verify the improved robustness of NMM-HMM classifiers in an application to speech recognition.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We test the robustness of a maximum-likelihood (ML) based classifier where sequential data as observation is corrupted by noise. | background 0.52 | 0.90 | 0.04 | asserted 0.79 |
| s1 | 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. | contribution 0.48 | 0.18 | 0.37 | hedged possibility 0.82 |
| s2 | The combined model is called normalizing-flow mixture model based HMM (NMM-HMM). | method 0.83 | 0.62 | 0.05 | asserted 0.99 |
| s3 | It can be trained using a combination of expectation-maximization (EM) and backpropagation. | method 1.00 | 0.55 | 0.03 | asserted 0.88 |
| s4 | We verify the improved robustness of NMM-HMM classifiers in an application to speech recognition. | result 0.94 | 0.94 | 0.69 | asserted 1.00 |
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The paper
Original 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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How the literature uses it
1 arXiv paper cite this in 1 sentence
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Uses the method or tool of 1 paper
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Training was carried out using Adam [ref] optimization, with data processed on a batch-wise basis.
Adam: A Method for Stochastic Optimization · Model training · 1.00
Cites as background 1 paper
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Normalizing-flow is a generative model [ref] , [ref] .
Normalizing Flows: An Introduction and Review of Current Methods · Introduction · 0.96
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