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We introduce a new method based on nonnegative matrix factorization, Neural NMF, for detecting latent hierarchical structure in data. Datasets with hierarchical structure arise in a wide variety of fields, such as document classification,…

Machine Learning · Computer Science 2023-03-02 Tyler Will , Runyu Zhang , Eli Sadovnik , Mengdi Gao , Joshua Vendrow , Jamie Haddock , Denali Molitor , Deanna Needell

A novel unsupervised deep learning method is developed to identify individual-specific large scale brain functional networks (FNs) from resting-state fMRI (rsfMRI) in an end-to-end learning fashion. Our method leverages deep Encoder-Decoder…

Computer Vision and Pattern Recognition · Computer Science 2020-12-14 Hongming Li , Yong Fan

The brain uses positive signals as a means of signaling. Forward interactions in the early visual cortex are also positive, realized by excitatory synapses. Only local interactions also include inhibition. Non-negative matrix factorization…

Machine Learning · Computer Science 2025-03-27 Mahbod Nouri , David Rotermund , Alberto Garcia-Ortiz , Klaus R. Pawelzik

Functional connectivity (FC) studies have demonstrated the overarching value of studying the brain and its disorders through the undirected weighted graph of fMRI correlation matrix. Most of the work with the FC, however, depends on the way…

Neurons and Cognition · Quantitative Biology 2021-12-09 Usman Mahmood , Zening Fu , Vince Calhoun , Sergey Plis

Semi-Non-negative Matrix Factorization is a technique that learns a low-dimensional representation of a dataset that lends itself to a clustering interpretation. It is possible that the mapping between this new representation and our…

Computer Vision and Pattern Recognition · Computer Science 2015-09-11 George Trigeorgis , Konstantinos Bousmalis , Stefanos Zafeiriou , Bjoern W. Schuller

We propose a new approach, called as functional deep neural network (FDNN), for classifying multi-dimensional functional data. Specifically, a deep neural network is trained based on the principle components of the training data which shall…

Machine Learning · Statistics 2022-05-19 Shuoyang Wang , Guanqun Cao , Zuofeng Shang

Constrained low-rank matrix approximations have been known for decades as powerful linear dimensionality reduction techniques to be able to extract the information contained in large data sets in a relevant way. However, such low-rank…

Machine Learning · Computer Science 2021-12-20 Pierre De Handschutter , Nicolas Gillis , Xavier Siebert

Nonnegative Matrix Factorization (NMF) aims to factorize a matrix into two optimized nonnegative matrices and has been widely used for unsupervised learning tasks such as product recommendation based on a rating matrix. However, although…

Social and Information Networks · Computer Science 2015-04-03 Junyu Xuan , Jie Lu , Xiangfeng Luo , Guangquan Zhang

Deep Neural Networks (DNNs) have already become a crucial computational approach to revealing the spatial patterns in the human brain; however, there are three major shortcomings in utilizing DNNs to detect the spatial patterns in…

Machine Learning · Computer Science 2022-05-26 Wei Zhang , Yu Bao

Deep matrix factorizations (deep MFs) are recent unsupervised data mining techniques inspired by constrained low-rank approximations. They aim to extract complex hierarchies of features within high-dimensional datasets. Most of the loss…

Machine Learning · Computer Science 2023-01-26 Pierre De Handschutter , Nicolas Gillis

We introduce a new class of non-linear models for functional data based on neural networks. Deep learning has been very successful in non-linear modeling, but there has been little work done in the functional data setting. We propose two…

Machine Learning · Computer Science 2023-05-11 Aniruddha Rajendra Rao , Matthew Reimherr

Despite their increasing popularity and success in a variety of supervised learning problems, deep neural networks are extremely hard to interpret and debug: Given and already trained Deep Neural Net, and a set of test inputs, how can we…

Machine Learning · Computer Science 2018-06-07 Uday Singh Saini , Evangelos E. Papalexakis

It has become increasingly popular to study the brain as a network due to the realization that functionality cannot be explained exclusively by independent activation of specialized regions. Instead, across a large spectrum of behaviors,…

Neurons and Cognition · Quantitative Biology 2014-07-22 Petko Bogdanov , Nazli Dereli , Danielle S. Bassett , Scott T. Grafton , Ambuj K. Singh

In this paper, we develop an approach to modeling high-dimensional networks with a large number of nodes arranged in a hierarchical and modular structure. We propose a novel multi-scale factor analysis (MSFA) model which partitions the…

Applications · Statistics 2020-04-10 Chee-Ming Ting , Hernando Ombao , Sh-Hussain Salleh

We present Supervised Deep Multimodal Matrix Factorization (SD3MF), an interpretable framework for integrative brain network analysis that generalizes Symmetric Nonnegative Matrix Tri-Factorization (SNMTF) from unsupervised single-graph…

Machine Learning · Computer Science 2026-05-14 Amjad Seyedi , Lifang He , Songlin Zhao , Akwum Onwunta , Nicolas Gillis

Functional magnetic resonance (fMRI) is an invaluable tool in studying cognitive processes in vivo. Many recent studies use functional connectivity (FC), partial correlation connectivity (PC), or fMRI-derived brain networks to predict…

Neurons and Cognition · Quantitative Biology 2023-08-04 Anton Orlichenko , Gang Qu , Kuan-Jui Su , Anqi Liu , Hui Shen , Hong-Wen Deng , Yu-Ping Wang

Semi-structured networks (SSNs) merge the structures familiar from additive models with deep neural networks, allowing the modeling of interpretable partial feature effects while capturing higher-order non-linearities at the same time. A…

Machine Learning · Computer Science 2024-10-15 David Rügamer , Bernard X. W. Liew , Zainab Altai , Almond Stöcker

Human brains exhibit highly organized multiscale neurophysiological dynamics. Understanding those dynamic changes and the neuronal networks involved is critical for understanding how the brain functions in health and disease. Functional…

Neurons and Cognition · Quantitative Biology 2024-09-09 Manuel Morante , Kristian Frølich , Naveed ur Rehman

Brain network analysis is a useful approach to studying human brain disorders because it can distinguish patients from healthy people by detecting abnormal connections. Due to the complementary information from multiple modal neuroimages,…

Image and Video Processing · Electrical Eng. & Systems 2023-08-22 Qiankun Zuo , Yanfei Zhu , Libin Lu , Zhi Yang , Yuhui Li , Ning Zhang

We propose a novel two-phase approach to functional network estimation of multi-subject functional Magnetic Resonance Imaging (fMRI) data, which applies model-based image segmentation to determine a group-representative connectivity map. In…

Computation · Statistics 2018-09-05 Aditi Iyer , Bingjing Tang , Vinayak Rao , Nan Kong
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