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In this study, we address the interpretability issue in complex, black-box Machine Learning models applied to sequence data. We introduce the Model-Based tree Hidden Semi-Markov Model (MOB-HSMM), an inherently interpretable model aimed at…

Machine Learning · Computer Science 2023-10-31 Chan Hsu , Wei-Chun Huang , Jun-Ting Wu , Chih-Yuan Li , Yihuang Kang

Hidden Markov models (HMMs) are one of the most widely used statistical methods for analyzing sequence data. However, the reporting of output from HMMs has largely been restricted to the presentation of the most-probable (MAP) hidden state…

Methodology · Statistics 2015-05-01 Michalis K. Titsias , Christopher Yau , Christopher C. Holmes

Hamiltonian neural networks (HNNs) are state-of-the-art models that regress the vector field of a dynamical system under the learning bias of Hamilton's equations. A recent observation is that embedding a bias regarding the additive…

Machine Learning · Computer Science 2024-08-16 Zi-Yu Khoo , Dawen Wu , Jonathan Sze Choong Low , Stéphane Bressan

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

Machine Learning · Computer Science 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

In this paper, we advance a recently-proposed uncertainty decoding scheme for DNN-HMM (deep neural network - hidden Markov model) hybrid systems. This numerical sampling concept averages DNN outputs produced by a finite set of feature…

Machine Learning · Computer Science 2016-09-08 Christian Huemmer , Ramón Fernández Astudillo , Walter Kellermann

The Dirichlet Belief Network~(DirBN) has been recently proposed as a promising approach in learning interpretable deep latent representations for objects. In this work, we leverage its interpretable modelling architecture and propose a deep…

Machine Learning · Computer Science 2020-04-30 Yaqiong Li , Xuhui Fan , Ling Chen , Bin Li , Zheng Yu , Scott A. Sisson

The ability to estimate epistemic uncertainty is often crucial when deploying machine learning in the real world, but modern methods often produce overconfident, uncalibrated uncertainty predictions. A common approach to quantify epistemic…

The Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) has been used widely as a natural Bayesian nonparametric extension of the classical Hidden Markov Model for learning from sequential and time-series data. A sticky extension…

Machine Learning · Statistics 2020-06-23 Ding Zhou , Yuanjun Gao , Liam Paninski

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

Multi-function radars (MFRs) are sophisticated types of sensors with the capabilities of complex agile inter-pulse modulation implementation and dynamic work mode scheduling. The developments in MFRs pose great challenges to modern…

Signal Processing · Electrical Eng. & Systems 2023-08-23 Jiadi Bao , Yunjie Li , Mengtao Zhu , Shafei Wang

Differentiable particle filters are an emerging class of particle filtering methods that use neural networks to construct and learn parametric state-space models. In real-world applications, both the state dynamics and measurements can…

Signal Processing · Electrical Eng. & Systems 2023-05-04 Wenhan Li , Xiongjie Chen , Wenwu Wang , Víctor Elvira , Yunpeng Li

How do the neural networks distinguish two images? It is of critical importance to understand the matching mechanism of deep models for developing reliable intelligent systems for many risky visual applications such as surveillance and…

Computer Vision and Pattern Recognition · Computer Science 2021-08-13 Wenliang Zhao , Yongming Rao , Ziyi Wang , Jiwen Lu , Jie Zhou

Cyber threat intelligence is one of the emerging areas of focus in information security. Much of the recent work has focused on rule-based methods and detection of network attacks using Intrusion Detection algorithms. In this paper we…

Machine Learning · Computer Science 2024-09-05 Soham Deshmukh , Rahul Rade , Faruk Kazi

We present a novel approach for training deep neural networks in a Bayesian way. Classical, i.e. non-Bayesian, deep learning has two major drawbacks both originating from the fact that network parameters are considered to be deterministic.…

Machine Learning · Statistics 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

The use of in-situ digital sensors for water quality monitoring is becoming increasingly common worldwide. While these sensors provide near real-time data for science, the data are prone to technical anomalies that can undermine the…

Motivated by Hubert's segmentation procedure we discuss the application of hidden Markov models (HMM) to the segmentation of hydrological and enviromental time series. We use a HMM algorithm which segments time series of several hundred…

Computational Engineering, Finance, and Science · Computer Science 2011-11-09 Ath. Kehagias

Although considerable effort has been dedicated to improving the solution to the hyperspectral unmixing problem, non-idealities such as complex radiation scattering and endmember variability negatively impact the performance of most…

Image and Video Processing · Electrical Eng. & Systems 2023-10-05 Ricardo Augusto Borsoi , Deniz Erdoğmuş , Tales Imbiriba

Despite exceptional predictive performance of Deep sequence models (DSMs), the main concern of their deployment centers around the lack of uncertainty awareness. In contrast, probabilistic models quantify the uncertainty associated with…

Machine Learning · Computer Science 2026-03-03 Wenlong Chen

Industrial processes generate a massive amount of monitoring data that can be exploited to uncover hidden time losses in the system. This can be used to enhance the accuracy of maintenance policies and increase the effectiveness of the…

Applications · Statistics 2025-08-27 Fernando Miguelez , Josu Doncel , Maria Dolores Ugarte

Large Language Models (LLMs) demonstrate strong few-shot generalization through in-context learning, yet their reasoning in dynamic and stochastic environments remains opaque. Prior studies mainly focus on static tasks and overlook the…

Artificial Intelligence · Computer Science 2025-12-23 Jensen Zhang , Jing Yang , Keze Wang