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The tensor-train (TT) format is a data-sparse tensor representation commonly used in high dimensional data approximations. In order to represent data with interpretability in data science, researchers develop data-centric skeletonized low…

Numerical Analysis · Mathematics 2026-02-10 Daniel Hayes , Jing-Mei Qiu , Tianyi Shi

In this paper, we propose an easily trained yet powerful representation learning approach with performance highly competitive to deep neural networks in a digital pathology image segmentation task. The method, called sparse coding driven…

Computer Vision and Pattern Recognition · Computer Science 2020-08-14 Jie Song , Liang Xiao , Mohsen Molaei , Zhichao Lian

Skeleton-based action recognition has achieved remarkable performance with the development of graph convolutional networks (GCNs). However, most of these methods tend to construct complex topology learning mechanisms while neglecting the…

Computer Vision and Pattern Recognition · Computer Science 2024-11-21 Zeyu Liang , Hailun Xia , Naichuan Zheng , Huan Xu

The article explores an encoding and structural information processing approach using sparse bit vectors and fixed-length linear vectors. The following are presented: a discrete method of speculative stochastic dimensionality reduction of…

Machine Learning · Computer Science 2025-08-05 Dmitriy Kashitsyn , Dmitriy Shabanov

The human brain contains approximately $10^9$ neurons, each with approximately $10^3$ connections, synapses, with other neurons. Most sensory, cognitive and motor functions of our brains depend on the interaction of a large population of…

Neurons and Cognition · Quantitative Biology 2021-08-30 Bülent Karasözen

Classification of biological neuron types and networks poses challenges to the full understanding of the brain's organisation and functioning. In this paper, we develop a novel objective classification model of biological neuronal types and…

Neurons and Cognition · Quantitative Biology 2020-03-31 Michael Taynnan Barros , Harun Siljak , Peter Mullen , Constantinos Papadias , Jari Hyttinen , Nicola Marchetti

Much information about a graph can be obtained by studying its spanning trees. On the other hand, a graph can be regarded as a 1-dimensional cell complex, raising the question of developing a theory of trees in higher dimension. As observed…

Combinatorics · Mathematics 2015-06-24 Art M. Duval , Caroline J. Klivans , Jeremy L. Martin

Cataloging the neuronal cell types that comprise circuitry of individual brain regions is a major goal of modern neuroscience and the BRAIN initiative. Single-cell RNA sequencing can now be used to measure the gene expression profiles of…

Daily internet communication relies heavily on tree-structured graphs, embodied by popular data formats such as XML and JSON. However, many recent generative (probabilistic) models utilize neural networks to learn a probability distribution…

Machine Learning · Computer Science 2024-08-20 Milan Papež , Martin Rektoris , Tomáš Pevný , Václav Šmídl

We study the problem of inferring network topology from information cascades, in which the amount of time taken for information to diffuse across an edge in the network follows an unknown distribution. Unlike previous studies, which assume…

Social and Information Networks · Computer Science 2019-03-05 Feng Ji , Wenchang Tang , Wee Peng Tay , Edwin K. P. Chong

We study network loss tomography based on observing average loss rates over a set of paths forming a tree -- a severely underdetermined linear problem for the unknown link loss probabilities. We examine in detail the role of sparsity as a…

Networking and Internet Architecture · Computer Science 2015-03-19 Vijay Arya , Darryl Veitch

Graph convolutional networks (GCNs) have been widely used and achieved remarkable results in skeleton-based action recognition. In GCNs, graph topology dominates feature aggregation and therefore is the key to extracting representative…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Yuxin Chen , Ziqi Zhang , Chunfeng Yuan , Bing Li , Ying Deng , Weiming Hu

Neuronal morphology is an essential element for brain activity and function. We take advantage of current availability of brain-wide neuron digital reconstructions of the Pyramidal cells from a mouse brain, and analyze several emergent…

Dynamical Systems · Mathematics 2018-10-09 Congping Lin , Yuanfei Huang , Tingwei Quan , Yiwei Zhang

Normalized random measures (NRMs) provide a broad class of discrete random measures that are often used as priors for Bayesian nonparametric models. Dirichlet process is a well-known example of NRMs. Most of posterior inference methods for…

Machine Learning · Statistics 2015-11-19 Juho Lee , Seungjin Choi

In deep neural networks, better results can often be obtained by increasing the complexity of previously developed basic models. However, it is unclear whether there is a way to boost performance by decreasing the complexity of such models.…

Machine Learning · Computer Science 2022-06-07 Junran Wu , Shangzhe Li , Jianhao Li , Yicheng Pan , Ke Xu

Medical image segmentation has achieved remarkable advancements using deep neural networks (DNNs). However, DNNs often need big amounts of data and annotations for training, both of which can be difficult and costly to obtain. In this work,…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Hengji Cui , Dong Wei , Kai Ma , Shi Gu , Yefeng Zheng

Understanding brain connectivity has become one of the most important issues in neuroscience. But connectivity data can reflect either the functional relationships of the brain activities or the anatomical properties between brain areas.…

Neurons and Cognition · Quantitative Biology 2015-04-13 Tiago Simas , Mario Chavez , Pablo Rodriguez , Albert Diaz-Guilera

Diffusion-weighted magnetic resonance imaging (dMRI) is widely used to assess the brain white matter. One of the most common computations in dMRI involves cross-subject tract-specific analysis, whereby dMRI-derived biomarkers are compared…

Image and Video Processing · Electrical Eng. & Systems 2023-07-12 Davood Karimi , Hamza Kebiri , Ali Gholipour

The field of computational pathology has witnessed great advancements since deep neural networks have been widely applied. These networks usually require large numbers of annotated data to train vast parameters. However, it takes…

Computer Vision and Pattern Recognition · Computer Science 2022-08-11 Yixiao Zhang , Adam Kortylewski , Qing Liu , Seyoun Park , Benjamin Green , Elizabeth Engle , Guillermo Almodovar , Ryan Walk , Sigfredo Soto-Diaz , Janis Taube , Alex Szalay , Alan Yuille

Capsule networks are biologically inspired neural networks that group neurons into vectors called capsules, each explicitly representing an object or one of its parts. The routing mechanism connects capsules in consecutive layers, forming a…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Riccardo Renzulli , Enzo Tartaglione , Marco Grangetto
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