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Identifying hidden dynamics from observed data is a significant and challenging task in a wide range of applications. Recently, the combination of linear multistep methods (LMMs) and deep learning has been successfully employed to discover…

Numerical Analysis · Mathematics 2022-09-14 Qiang Du , Yiqi Gu , Haizhao Yang , Chao Zhou

Deep nonlinear models pose a challenge for fitting parameters due to lack of knowledge of the hidden layer and the potentially non-affine relation of the initial and observed layers. In the present work we investigate the use of information…

Optimization and Control · Mathematics 2016-12-20 Jacob S. Hunter , Nathan O. Hodas

In this research, we compare malware detection techniques based on static, dynamic, and hybrid analysis. Specifically, we train Hidden Markov Models (HMMs ) on both static and dynamic feature sets and compare the resulting detection rates…

Cryptography and Security · Computer Science 2022-03-21 Anusha Damodaran , Fabio Di Troia , Visaggio Aaron Corrado , Thomas H. Austin , Mark Stamp

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

We investigate the use of path signatures in a machine learning context for hedging exotic derivatives under non-Markovian stochastic volatility models. In a deep learning setting, we use signatures as features in feedforward neural…

Machine Learning · Statistics 2025-08-12 Eduardo Abi Jaber , Louis-Amand Gérard

We develop algorithms with low regret for learning episodic Markov decision processes based on kernel approximation techniques. The algorithms are based on both the Upper Confidence Bound (UCB) as well as Posterior or Thompson Sampling…

Machine Learning · Computer Science 2019-11-06 Sayak Ray Chowdhury , Aditya Gopalan

Hidden Markov models (HMMs) have been extensively used in the univariate and multivariate literature. However, there has been an increased interest in the analysis of matrix-variate data over the recent years. In this manuscript we…

Methodology · Statistics 2021-07-16 Salvatore D. Tomarchio , Antonio Punzo , Antonello Maruotti

We propose the Gaussian-Linear Hidden Markov model (GLHMM), a generalisation of different types of HMMs commonly used in neuroscience. In short, the GLHMM is a general framework where linear regression is used to flexibly parameterise the…

Neurons and Cognition · Quantitative Biology 2024-10-02 Diego Vidaurre , Laura Masaracchia , Nick Y. Larsen , Lenno R. P. T Ruijters , Sonsoles Alonso , Christine Ahrends , Mark W. Woolrich

The Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) is a natural Bayesian nonparametric extension of the classical Hidden Markov Model for learning from (spatio-)temporal data. A sticky HDP-HMM has been proposed to strengthen…

Machine Learning · Computer Science 2024-11-08 Mikołaj Słupiński , Piotr Lipiński

Player modeling is an important concept that has gained much attention in game research due to its utility in developing adaptive techniques to target better designs for engagement and retention. Previous work has explored modeling…

Artificial Intelligence · Computer Science 2018-04-03 Sara Bunian , Alessandro Canossa , Randy Colvin , Magy Seif El-Nasr

In this paper, we are interested in optimal decisions in a partially observable Markov universe. Our viewpoint departs from the dynamic programming viewpoint: we are directly approximating an optimal strategic tree depending on the…

General Mathematics · Mathematics 2007-05-23 Frederic Dambreville

In this work we combine two distinct machine learning methodologies, sequential Monte Carlo and Bayesian experimental design, and apply them to the problem of inferring the dynamical parameters of a quantum system. We design the algorithm…

Quantum Physics · Physics 2012-10-10 Christopher E. Granade , Christopher Ferrie , Nathan Wiebe , D. G. Cory

Hidden Markov Models (HMM) have been used for several years in many time series analysis or pattern recognitions tasks. HMM are often trained by means of the Baum-Welch algorithm which can be seen as a special variant of an expectation…

Machine Learning · Computer Science 2016-05-30 Christian Gruhl , Bernhard Sick

We characterize Martin-L\"of randomness and Schnorr randomness in terms of the merging of opinions, along the lines of the Blackwell-Dubins Theorem. After setting up a general framework for defining notions of merging randomness, we focus…

Logic · Mathematics 2026-03-10 Simon M. Huttegger , Sean Walsh , Francesca Zaffora Blando

Modern vehicles are equipped with increasingly complex sensors. These sensors generate large volumes of data that provide opportunities for modeling and analysis. Here, we are interested in exploiting this data to learn aspects of behaviors…

Machine Learning · Statistics 2018-01-30 Vadim Smolyakov , Julian Straub , Sue Zheng , John W. Fisher

A Hidden Markov Model (HMM) is a common statistical model which is widely used for analysis of biological sequence data and other sequential phenomena. In the present paper we show how HMMs can be extended with side-constraints and present…

Artificial Intelligence · Computer Science 2010-08-02 Henning Christiansen , Christian Theil Have , Ole Torp Lassen , Matthieu Petit

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)…

Machine Learning · Computer Science 2021-02-16 Anubhab Ghosh , Antoine Honoré , Dong Liu , Gustav Eje Henter , Saikat Chatterjee

There are many applications that benefit from computing the exact divergence between 2 discrete probability measures, including machine learning. Unfortunately, in the absence of any assumptions on the structure or independencies within…

Machine Learning · Computer Science 2023-10-16 Loong Kuan Lee , Nico Piatkowski , François Petitjean , Geoffrey I. Webb

Hidden semi-Markov models (HSMMs) are latent variable models which allow latent state persistence and can be viewed as a generalization of the popular hidden Markov models (HMMs). In this paper, we introduce a novel spectral algorithm to…

Machine Learning · Statistics 2016-03-01 Igor Melnyk , Arindam Banerjee

With the growing amount of cyber threats, the need for development of high-assurance cyber systems is becoming increasingly important. The objective of this paper is to address the challenges of modeling and detecting sophisticated network…

Cryptography and Security · Computer Science 2019-10-31 Tawfeeq Shawly , Ali Elghariani , Jason Kobes , Arif Ghafoor
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