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In this paper, we address the issue of model specification in probabilistic latent variable models (PLVMs) using an infinite-horizon optimal control approach. Traditional PLVMs rely on joint distributions to model complex data, but…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Zhichao Chen , Hao Wang , Licheng Pan , Yiran Ma , Yunfei Teng , Jiaze Ma , Le Yao , Zhiqiang Ge , Zhihuan Song

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

Support Vector Machine (SVM) stands out as a prominent machine learning technique widely applied in practical pattern recognition tasks. It achieves binary classification by maximizing the "margin", which represents the minimum distance…

Machine Learning · Computer Science 2026-01-21 Zhezheng Hao , Feiping Nie , Rong Wang

Restricted Boltzmann Machines (RBMs) are a common family of undirected graphical models with latent variables. An RBM is described by a bipartite graph, with all observed variables in one layer and all latent variables in the other. We…

Machine Learning · Computer Science 2020-10-20 Guy Bresler , Rares-Darius Buhai

We establish a family of subspace-based learning method for multi-view learning using the least squares as the fundamental basis. Specifically, we investigate orthonormalized partial least squares (OPLS) and study its important properties…

Machine Learning · Computer Science 2020-07-13 Li Wang , Ren-Cang Li , Wen-Wei

Unsupervised learning aims at the discovery of hidden structure that drives the observations in the real world. It is essential for success in modern machine learning. Latent variable models are versatile in unsupervised learning and have…

Machine Learning · Computer Science 2016-06-13 Furong Huang

Inverse problems arise in many applications, especially tomographic imaging. We develop a Learned Alternating Minimization Algorithm (LAMA) to solve such problems via two-block optimization by synergizing data-driven and classical…

Computer Vision and Pattern Recognition · Computer Science 2025-08-07 Chi Ding , Qingchao Zhang , Ge Wang , Xiaojing Ye , Yunmei Chen

Through the lense of multilevel model (MLM) specification and regularization, this is a connect-the-dots introductory summary of Small Area Estimation, e.g. small group prediction informed by a complex sampling design. While a comprehensive…

Methodology · Statistics 2018-05-23 Michael Tzen

Graphical models are powerful tools for modeling high-dimensional data, but learning graphical models in the presence of latent variables is well-known to be difficult. In this work we give new results for learning Restricted Boltzmann…

Machine Learning · Computer Science 2020-07-28 Surbhi Goel , Adam Klivans , Frederic Koehler

Generalization is one of the most important issues in machine learning problems. In this study, we consider generalization in restricted Boltzmann machines (RBMs). We propose an RBM with multivalued hidden variables, which is a simple…

Machine Learning · Statistics 2020-01-09 Yuuki Yokoyama , Tomu Katsumata , Muneki Yasuda

In our study, we propose a self-supervised neural topic model (NTM) that combines the power of NTMs and regularized self-supervised learning methods to improve performance. NTMs use neural networks to learn latent topics hidden behind the…

Machine Learning · Computer Science 2025-02-27 Weiran Xu , Kengo Hirami , Koji Eguchi

Latent variable models are an elegant framework for capturing rich probabilistic dependencies in many applications. However, current approaches typically parametrize these models using conditional probability tables, and learning relies…

Machine Learning · Computer Science 2012-10-19 Ankur P. Parikh , Le Song , Mariya Ishteva , Gabi Teodoru , Eric P. Xing

Deep generative models like VAEs and diffusion models have advanced various generation tasks by leveraging latent variables to learn data distributions and generate high-quality samples. Despite the field of explainable AI making strides in…

Machine Learning · Computer Science 2025-12-22 Mengdan Zhu , Raasikh Kanjiani , Jiahui Lu , Andrew Choi , Qirui Ye , Liang Zhao

Panel vector auto-regressive (VAR) models are widely used to capture the dynamics of multivariate time series across different subpopulations, where each subpopulation shares a common set of variables. In this work, we propose a panel VAR…

Methodology · Statistics 2025-09-22 Yuchen Xu , George Michailidis

Machine learning can provide deep insights into data, allowing machines to make high-quality predictions and having been widely used in real-world applications, such as text mining, visual classification, and recommender systems. However,…

Machine Learning · Computer Science 2020-08-11 Meng Wang , Weijie Fu , Xiangnan He , Shijie Hao , Xindong Wu

Predicting future frames of a video sequence has been a problem of high interest in the field of Computer Vision as it caters to a multitude of applications. The ability to predict, anticipate and reason about future events is the essence…

Computer Vision and Pattern Recognition · Computer Science 2020-09-04 Jasmeen Kaur , Sukhendu Das

It has been previously observed that training Variational Recurrent Autoencoders (VRAE) for text generation suffers from serious uninformative latent variables problem. The model would collapse into a plain language model that totally…

Computation and Language · Computer Science 2019-11-20 Dayiheng Liu , Xu Yang , Feng He , Yuanyuan Chen , Jiancheng Lv

Multimodal large language models (MLLMs) trained with visual instruction tuning have achieved strong performance across diverse tasks, yet they remain limited in vision-centric tasks such as object counting or spatial reasoning. We…

Computer Vision and Pattern Recognition · Computer Science 2025-10-13 Heeji Yoon , Jaewoo Jung , Junwan Kim , Hyungyu Choi , Heeseong Shin , Sangbeom Lim , Honggyu An , Chaehyun Kim , Jisang Han , Donghyun Kim , Chanho Eom , Sunghwan Hong , Seungryong Kim

A Vector Auto-Regressive (VAR) model is commonly used to model multivariate time series, and there are many penalized methods to handle high dimensionality. However in terms of spatio-temporal data, most methods do not take the spatial and…

Methodology · Statistics 2020-12-21 Zhenzhong Wang , Abolfazl Safikhani , Zhengyuan Zhu , David S. Matteson

Multimodal Large Language Models (MLLMs) have shown remarkable versatility in understanding diverse multimodal data and tasks. However, these capabilities come with an increased model scale. While post-training pruning reduces model size in…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Jaewoo Lee , Keyang Xuan , Chanakya Ekbote , Sandeep Polisetty , Yi R. Fung , Paul Pu Liang