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Simultaneous recordings from N electrodes generate N-dimensional time series that call for efficient representations to expose relevant aspects of the underlying dynamics. Binning the time series defines neural activity vectors that…

Neurons and Cognition · Quantitative Biology 2017-07-05 Gabriel Baglietto , Guido Gigante , Paolo Del Giudice

Neuronal activity is found to lie on low-dimensional manifolds embedded within the high-dimensional neuron space. Variants of principal component analysis are frequently employed to assess these manifolds. These methods are, however,…

Neurons and Cognition · Quantitative Biology 2025-06-19 Peter Bouss , Sandra Nestler , Kirsten Fischer , Claudia Merger , Alexandre René , Moritz Helias

Real-world tabular databases routinely combine continuous measurements and categorical records, yet missing entries are pervasive and can distort downstream analysis. We propose Statistical-Neural Interaction (SNI), an interpretable…

Machine Learning · Computer Science 2026-01-21 Ou Deng , Shoji Nishimura , Atsushi Ogihara , Qun Jin

Modern intelligent transportation systems rely on accurate spatiotemporal traffic analysis to optimize urban mobility and infrastructure resilience. However, pervasive missing data caused by sensor failures and heterogeneous sensing gaps…

Machine Learning · Computer Science 2025-09-04 Wenyu Luo , Yikai Hou , Peng Tang

Non-negative matrix factorization (NMF) is a common method for generating topic models from text data. NMF is widely accepted for producing good results despite its relative simplicity of implementation and ease of computation. One…

Machine Learning · Computer Science 2016-08-09 Brendan Gavin , Vijay Gadepally , Jeremy Kepner

Recommendation models can effectively estimate underlying user interests and predict one's future behaviors by factorizing an observed user-item rating matrix into products of two sets of latent factors. However, the user-specific embedding…

Information Retrieval · Computer Science 2022-03-08 Qitian Wu , Hengrui Zhang , Xiaofeng Gao , Junchi Yan , Hongyuan Zha

Recent advances in acquisition equipment is providing experiments with growing amounts of precise yet affordable sensors. At the same time an improved computational power, coming from new hardware resources (GPU, FPGA, ACAP), has been made…

Computational Physics · Physics 2021-09-01 A. Rigoni Garola , R. Cavazzana , M. Gobbin , R. S. Delogu , G. Manduchi , C. Taliercio , A. Luchetta

Nearly all identifiability results in unsupervised representation learning inspired by, e.g., independent component analysis, factor analysis, and causal representation learning, rely on assumptions of additive independent noise or…

Machine Learning · Computer Science 2025-03-24 Yujia Zheng , Yang Liu , Jiaxiong Yao , Yingyao Hu , Kun Zhang

In this paper we present a modification to a latent topic model, which makes the model exploit supervision to produce a factorized representation of the observed data. The structured parameterization separately encodes variance that is…

Machine Learning · Computer Science 2013-04-24 Cheng Zhang , Carl Henrik Ek , Andreas Damianou , Hedvig Kjellstrom

Structural and functional neuroimaging modalities provide complementary windows into brain organization: structural imaging characterizes neural tissue anatomy and microstructure, while functional imaging captures dynamic patterns of neural…

Methodology · Statistics 2026-03-24 Sakul Mahat , Sharmistha Guha , Jessica Bernard

Thanks to novel, powerful brain activity recording techniques, we can create data-driven models from thousands of recording channels and large portions of the cortex, which can improve our understanding of brain-states neuromodulation and…

Background: Functional magnetic resonance imaging (fMRI) provides non-invasive measures of neuronal activity using an endogenous Blood Oxygenation-Level Dependent (BOLD) contrast. This article introduces a nonlinear dimensionality reduction…

Image and Video Processing · Electrical Eng. & Systems 2019-12-09 Gagan Sidhu

Non-negative Matrix Factorization (NMF) is one of the most popular techniques for data representation and clustering, and has been widely used in machine learning and data analysis. NMF concentrates the features of each sample into a…

Image and Video Processing · Electrical Eng. & Systems 2021-03-26 Mulin Chen , Maoguo Gong , Xuelong Li

Neuroimaging meta-analysis is an important tool for finding consistent effects over studies that each usually have 20 or fewer subjects. Interest in meta-analysis in brain mapping is also driven by a recent focus on so-called "reverse…

Applications · Statistics 2014-12-05 Jian Kang , Thomas E. Nichols , Tor D. Wager , Timothy D. Johnson

Nonnegative matrix factorization (NMF) has been widely used to dimensionality reduction in machine learning. However, the traditional NMF does not properly handle outliers, so that it is sensitive to noise. In order to improve the…

Machine Learning · Computer Science 2022-06-08 Tingting Shen , Junhang Li , Can Tong , Qiang He , Chen Li , Yudong Yao , Yueyang Teng

Network representation learning aims to generate an embedding for each node in a network, which facilitates downstream machine learning tasks such as node classification and link prediction. Current work mainly focuses on transductive…

Social and Information Networks · Computer Science 2023-06-02 Meng Liu , Yong Liu

We consider the problem of precision matrix estimation where, due to extraneous confounding of the underlying precision matrix, the data are independent but not identically distributed. While such confounding occurs in many scientific…

Machine Learning · Statistics 2019-07-01 Sinong Geng , Mladen Kolar , Oluwasanmi Koyejo

In scientific applications, multivariate observations often come in tandem with temporal or spatial covariates, with which the underlying signals vary smoothly. The standard approaches such as principal component analysis and factor…

Statistics Theory · Mathematics 2019-10-15 Mark Koudstaal , Dengdeng Yu , Dehan Kong , Fang Yao

Algorithmic feature learners provide high-dimensional vector representations for non-matrix structured signals, like images, audio, text, and graphs. Low-dimensional projections derived from these representations can be used to explore…

Computation · Statistics 2022-02-02 Kris Sankaran

Data often comes in the form of an array or matrix. Matrix factorization techniques attempt to recover missing or corrupted entries by assuming that the matrix can be written as the product of two low-rank matrices. In other words, matrix…

Machine Learning · Computer Science 2015-12-16 Gintare Karolina Dziugaite , Daniel M. Roy