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In many fields, researchers are interested in large and complex biological processes. Two important examples are gene expression and DNA methylation in genetics. One key problem is to identify aberrant patterns of these processes and…

应用统计 · 统计学 2012-10-03 Matthias Kormaksson , James G. Booth , Maria E. Figueroa , Ari Melnick

Markov state modeling has gained popularity in various scientific fields since it reduces complex time-series data sets into transitions between a few states. Yet common Markov state modeling frameworks assume a single Markov chain…

统计方法学 · 统计学 2026-02-25 Christopher E. Miles , Robert J. Webber

We developed a prediction model based on the evolutionary causal matrices (ECM) and the Markov Chain to predict long-term influences of educational interventions on adolescents development. Particularly, we created a computational model…

应用统计 · 统计学 2016-12-02 Hyemin Han , Kangwook Lee , Firat Soylu

In this paper, we compare predictive models for students' final performance in a blended course using a set of generic features collected from the first six weeks of class. These features were extracted from students' online homework…

人工智能 · 计算机科学 2018-12-04 Hengxuan Li , Collin F. Lynch , Tiffany Barnes

We propose a multimodal approach for detection of students' behavioral engagement states (i.e., On-Task vs. Off-Task), based on three unobtrusive modalities: Appearance, Context-Performance, and Mouse. Final behavioral engagement states are…

人机交互 · 计算机科学 2019-01-18 Nese Alyuz , Eda Okur , Utku Genc , Sinem Aslan , Cagri Tanriover , Asli Arslan Esme

A probabilistic model for random hypergraphs is introduced to represent unary, binary and higher order interactions among objects in real-world problems. This model is an extension of the Latent Class Analysis model, which captures…

统计方法学 · 统计学 2018-08-16 Tin Lok James Ng , Thomas Brendan Murphy

Expectation-Maximization (EM) algorithm is a widely used iterative algorithm for computing maximum likelihood estimate when dealing with Gaussian Mixture Model (GMM). When the sample size is smaller than the data dimension, this could lead…

机器学习 · 统计学 2023-07-06 Pierre Houdouin , Matthieu Jonkcheere , Frederic Pascal

Online (also called "recursive" or "adaptive") estimation of fixed model parameters in hidden Markov models is a topic of much interest in times series modelling. In this work, we propose an online parameter estimation algorithm that…

统计计算 · 统计学 2011-02-16 Olivier Cappé

K-12 classrooms consistently integrate collaboration as part of their learning experiences. However, owing to large classroom sizes, teachers do not have the time to properly assess each student and give them feedback. In this paper we…

机器学习 · 计算机科学 2020-09-04 Anirudh Som , Sujeong Kim , Bladimir Lopez-Prado , Svati Dhamija , Nonye Alozie , Amir Tamrakar

Online variants of the Expectation Maximization (EM) algorithm have recently been proposed to perform parameter inference with large data sets or data streams, in independent latent models and in hidden Markov models. Nevertheless, the…

统计理论 · 数学 2012-06-01 Sylvain Le Corff , Gersende Fort

Model-based unsupervised learning, as any learning task, stalls as soon as missing data occurs. This is even more true when the missing data are informative, or said missing not at random (MNAR). In this paper, we propose model-based…

A model based clustering procedure for data of mixed type, clustMD, is developed using a latent variable model. It is proposed that a latent variable, following a mixture of Gaussian distributions, generates the observed data of mixed type.…

统计方法学 · 统计学 2015-11-06 Damien McParland , Isobel Claire Gormley

We propose a new approach -- called PK-clustering -- to help social scientists create meaningful clusters in social networks. Many clustering algorithms exist but most social scientists find them difficult to understand, and tools do not…

人机交互 · 计算机科学 2021-05-18 Alexis Pister , Paolo Buono , Jean-Daniel Fekete , Catherine Plaisant , Paola Valdivia

The study of animal behavioural states inferred through hidden Markov models and similar state switching models has seen a significant increase in popularity in recent years. The ability to account for varying levels of behavioural scale…

统计计算 · 统计学 2021-05-06 Giada Sacchi , Ben Swallow

Classical Mixtures of Experts (MoE) are Machine Learning models that involve partitioning the input space, with a separate "expert" model trained on each partition. Recently, MoE-based model architectures have become popular as a means to…

机器学习 · 计算机科学 2025-10-14 Quentin Fruytier , Aryan Mokhtari , Sujay Sanghavi

In this paper, we introduce and evaluate a data-driven staged mixture modeling technique for building density, regression, and classification models. Our basic approach is to sequentially add components to a finite mixture model using the…

机器学习 · 计算机科学 2013-01-07 Christopher Meek , Bo Thiesson , David Heckerman

Student simulation presents a transformative approach to enhance learning outcomes, advance educational research, and ultimately shape the future of effective pedagogy. We explore the feasibility of using large language models (LLMs), a…

人工智能 · 计算机科学 2023-10-31 Songlin Xu , Xinyu Zhang

Students disengaging from their tasks can have serious long-term consequences, including academic drop-out. This is particularly relevant for students in distance education. One way to measure the level of disengagement in distance…

With the rise of online learning, many novice tutors lack experience engaging students remotely. We introduce TutorUp, a Large Language Model (LLM)-based system that enables novice tutors to practice engagement strategies with simulated…

In this paper, we outline the use of Mixture Models in density estimation of large astronomical databases. This method of density estimation has been known in Statistics for some time but has not been implemented because of the large…

天体物理学 · 物理学 2007-05-23 A. J. Connolly , C. Genovese , A. W. Moore , R. C. Nichol , J. Schneider , L. Wasserman