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Dirichlet processes and their extensions have reached a great popularity in Bayesian nonparametric statistics. They have also been introduced for spatial and spatio-temporal data, as a tool to analyze and predict surfaces. A popular…

Statistics Theory · Mathematics 2023-03-31 Clara Grazian

Inference in hidden Markov model has been challenging in terms of scalability due to dependencies in the observation data. In this paper, we utilize the inherent memory decay in hidden Markov models, such that the forward and backward…

Machine Learning · Statistics 2025-01-14 Felix X. -F. Ye , Yi-an Ma , Hong Qian

Multi-dimensional Hawkes process (MHP) is a class of self and mutually exciting point processes that find wide range of applications -- from prediction of earthquakes to modelling of order books in high frequency trading. This paper makes…

Machine Learning · Statistics 2020-06-05 Sobin Joseph , Lekhapriya Dheeraj Kashyap , Shashi Jain

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

Social learning strategies enable agents to infer the underlying true state of nature in a distributed manner by receiving private environmental signals and exchanging beliefs with their neighbors. Previous studies have extensively focused…

Multiagent Systems · Computer Science 2025-03-18 Dongyan Sui , Haitian Zheng , Siyang Leng , Stefan Vlaski

In this article, we use the theory of quantum channels and open quantum systems to provide an efficient unitary characterization of a class of stochastic generators known as quantum hidden Markov models (QHMMs). By utilizing the unitary…

Quantum Physics · Physics 2025-02-27 Vanio Markov , Vladimir Rastunkov , Amol Deshmukh , Daniel Fry , Charlee Stefanski

Evolving consumer demands and market trends have led to businesses increasingly embracing a production approach that prioritizes flexibility and customization. Consequently, factory workers must engage in tasks that are more complex than…

Machine Learning · Computer Science 2024-05-17 Issei Saito , Tomoaki Nakamura , Toshiyuki Hatta , Wataru Fujita , Shintaro Watanabe , Shotaro Miwa

This paper presents a new and flexible prognostics framework based on a higher order hidden semi-Markov model (HOHSMM) for systems or components with unobservable health states and complex transition dynamics. The HOHSMM extends the basic…

Applications · Statistics 2020-02-14 Ying Liao , Yisha Xiang , Min Wang

1. Hidden Markov models (HMMs) are powerful tools for modelling time-series data with underlying state structure. However, selecting appropriate parametric forms for the state-dependent distributions is often challenging and can lead to…

Disentangled representation learning offers useful properties such as dimension reduction and interpretability, which are essential to modern deep learning approaches. Although deep learning techniques have been widely applied to…

Machine Learning · Computer Science 2022-04-11 Sichen Zhao , Wei Shao , Jeffrey Chan , Flora D. Salim

Spiking neural networks (SNNs) have garnered significant attention for their low power consumption and high biological interpretability. Their rich spatio-temporal information processing capability and event-driven nature make them ideally…

Computer Vision and Pattern Recognition · Computer Science 2024-09-20 Xian Zhong , Shengwang Hu , Wenxuan Liu , Wenxin Huang , Jianhao Ding , Zhaofei Yu , Tiejun Huang

In the classical setting, the training of a Hidden Markov Model (HMM) typically relies on a single, sufficiently long observation sequence that can be regarded as representative of the underlying stochastic process. In this context, the…

Signal Processing · Electrical Eng. & Systems 2025-10-31 Margarita Cabrera-Bean , Josep Vidal , Sergio Fernandez-Bertolin , Albert Roso-Llorach , Concepcion Violan

Hidden Markov Models (HMMs) are a ubiquitous tool to model time series data, and have been widely used in two main tasks of Automatic Music Transcription (AMT): note segmentation, i.e. identifying the played notes after a multi-pitch…

Machine Learning · Statistics 2017-04-13 D. Cazau , G. Nuel

Recommendation systems that automatically generate personalized music playlists for users have attracted tremendous attention in recent years. Nowadays, most music recommendation systems rely on item-based or user-based collaborative…

Information Retrieval · Computer Science 2020-05-06 Tao Li , Minsoo Choi , Kaiming Fu , Lei Lin

Hidden Markov model (HMM) has been well studied and extensively used. In this paper, we present DPHMM ({Differentially Private Hidden Markov Model}), an HMM embedded with a private data release mechanism, in which the privacy of the data is…

Databases · Computer Science 2016-09-30 Yonghui Xiao , Yilin Shen , Jinfei Liu , Li Xiong , Hongxia Jin , Xiaofeng Xu

Background: Biomedical data are usually collections of longitudinal data assessed at certain points in time. Clinical observations assess the presences and severity of symptoms, which are the basis for description and modeling of disease…

Databases · Computer Science 2023-07-26 Richard Fechner , Jens Dörpinghaus , Robert Rockenfeller , Jennifer Faber

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

Hidden Markov Models (HMMs) are learning methods for pattern recognition. The probabilistic HMMs have been one of the most used techniques based on the Bayesian model. First-order probabilistic HMMs were adapted to the theory of belief…

Artificial Intelligence · Computer Science 2015-01-23 Jungyeul Park , Mouna Chebbah , Siwar Jendoubi , Arnaud Martin

Recent studies have proposed that one can summarize brain activity into dynamics among a relatively small number of hidden states and that such an approach is a promising tool for revealing brain function. Hidden Markov models (HMMs) are a…

Neurons and Cognition · Quantitative Biology 2021-09-02 Takahiro Ezaki , Yu Himeno , Takamitsu Watanabe , Naoki Masuda

Predictive Autoscaling is used to forecast the workloads of servers and prepare the resources in advance to ensure service level objectives (SLOs) in dynamic cloud environments. However, in practice, its prediction task often suffers from…

Machine Learning · Computer Science 2023-09-06 Hongyan Hao , Zhixuan Chu , Shiyi Zhu , Gangwei Jiang , Yan Wang , Caigao Jiang , James Zhang , Wei Jiang , Siqiao Xue , Jun Zhou