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This paper is concerned with the computational complexity of learning the Hidden Markov Model (HMM). Although HMMs are some of the most widely used tools in sequential and time series modeling, they are cryptographically hard to learn in…

Machine Learning · Computer Science 2024-02-27 Sham M. Kakade , Akshay Krishnamurthy , Gaurav Mahajan , Cyril Zhang

Recently, there has been interest in multiplicative recurrent neural networks for language modeling. Indeed, simple Recurrent Neural Networks (RNNs) encounter difficulties recovering from past mistakes when generating sequences due to high…

Machine Learning · Computer Science 2019-07-02 Diego Maupomé , Marie-Jean Meurs

We propose a Neural Hidden Markov Model (HMM) with Adaptive Granularity Attention (AGA) for high-frequency order flow modeling. The model addresses the challenge of capturing multi-scale temporal dynamics in financial markets, where…

Statistical Finance · Quantitative Finance 2026-03-24 Tianzuo Hu

This article presents a novel hybrid approach using statistics and machine learning to forecast the national demand of electricity. As investment and operation of future energy systems require long-term electricity demand forecasts with…

Machine Learning · Computer Science 2023-04-12 Tatiana Gonzalez Grandon , Johannes Schwenzer , Thomas Steens , Julia Breuing

There is much interest in the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) as a natural Bayesian nonparametric extension of the ubiquitous Hidden Markov Model for learning from sequential and time-series data. However, in…

Methodology · Statistics 2012-09-11 Matthew J. Johnson , Alan S. Willsky

Hidden Markov Models (HMMs) have become very popular as a computational tool for the analysis of sequential data. They are memoryless machines which transition from one internal state to another, while producing symbols. These symbols…

Quantum Physics · Physics 2012-10-01 Ben O`Neill , Tom M. Barlow , Dominik Safranek , Almut Beige

Consider the problem of predicting the next symbol given a sample path of length n, whose joint distribution belongs to a distribution class that may have long-term memory. The goal is to compete with the conditional predictor that knows…

Statistics Theory · Mathematics 2024-04-25 Yanjun Han , Tianze Jiang , Yihong Wu

Multivariate longitudinal data of mixed-type are increasingly collected in many science domains. However, algorithms to cluster this kind of data remain scarce, due to the challenge to simultaneously model the within- and between-time…

Machine Learning · Statistics 2025-09-16 Francesco Amato , Julien Jacques

Midterm stock price prediction is crucial for value investments in the stock market. However, most deep learning models are essentially short-term and applying them to midterm predictions encounters large cumulative errors because they…

Statistical Finance · Quantitative Finance 2019-08-06 Xinyi Li , Yinchuan Li , Xiao-Yang Liu , Christina Dan Wang

Long Short-Term Memory (LSTM) is a popular approach to boosting the ability of Recurrent Neural Networks to store longer term temporal information. The capacity of an LSTM network can be increased by widening and adding layers. However,…

Machine Learning · Statistics 2017-12-14 Zhen He , Shaobing Gao , Liang Xiao , Daxue Liu , Hangen He , David Barber

We investigate the effectiveness of different machine learning methodologies in predicting economic cycles. We identify the deep learning methodology of Bi-LSTM with Autoencoder as the most accurate model to forecast the beginning and end…

General Economics · Economics 2021-07-26 Zihao Wang , Kun Li , Steve Q. Xia , Hongfu Liu

The recent development of advanced machine learning methods for hybrid models has greatly addressed the need for the correct prediction of electrical prices. This method combines AlexNet and LSTM algorithms, which are used to introduce a…

Forecasting stock prices can be interpreted as a time series prediction problem, for which Long Short Term Memory (LSTM) neural networks are often used due to their architecture specifically built to solve such problems. In this paper, we…

Machine Learning · Computer Science 2021-06-14 Akash Doshi , Alexander Issa , Puneet Sachdeva , Sina Rafati , Somnath Rakshit

Hidden Markov Models (HMMs) are powerful tools for modeling sequential data, where the underlying states evolve in a stochastic manner and are only indirectly observable. Traditional HMM approaches are well-established for linear sequences,…

Machine Learning · Statistics 2024-06-05 Farzan Vafa , Sahand Hormoz

Time series classification is one of the very popular machine learning tasks. In this paper, we explore the application of Hidden Markov Model (HMM) for time series classification. We distinguish between two modes of HMM application. The…

Machine Learning · Computer Science 2022-04-29 Jakub Michał Bilski , Agnieszka Jastrzębska

Hidden Markov Models (HMMs) comprise a powerful generative approach for modeling sequential data and time-series in general. However, the commonly employed assumption of the dependence of the current time frame to a single or multiple…

Machine Learning · Computer Science 2021-09-13 Konstantinos P. Panousis , Sotirios Chatzis , Sergios Theodoridis

Price movements of stock market are not totally random. In fact, what drives the financial market and what pattern financial time series follows have long been the interest that attracts economists, mathematicians and most recently computer…

Statistical Finance · Quantitative Finance 2013-11-20 G. Kavitha , A. Udhayakumar , D. Nagarajan

Pairwise Markov Models (PMMs) extend the wellknown Hidden Markov Models (HMMs). Being significantly more general, PMMs enable several types of processing, like Bayesian filtering or smoothing, similar to those used in HMMs. In this paper,…

Dynamical Systems · Mathematics 2024-02-13 Marc Escudier , Ikram Abdelkefi , Clément Fernandes , Wojciech Pieczynski

Monitoring of industrial processes is a critical capability in industry and in government to ensure reliability of production cycles, quick emergency response, and national security. Process monitoring allows users to gauge the progress of…

Machine Learning · Computer Science 2024-04-29 Erik Skau , Andrew Hollis , Stephan Eidenbenz , Kim Rasmussen , Boian Alexandrov

Spatio-temporal forecasting plays a crucial role in various sectors such as transportation systems, logistics, and supply chain management. However, existing methods are limited by their ability to handle large, complex datasets. To…

Machine Learning · Computer Science 2024-08-27 Sakhinana Sagar Srinivas , Chidaksh Ravuru , Geethan Sannidhi , Venkataramana Runkana
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