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Reliable classification and detection of certain medical conditions, in images, with state-of-the-art semantic segmentation networks, require vast amounts of pixel-wise annotation. However, the public availability of such datasets is…

Computer Vision and Pattern Recognition · Computer Science 2023-03-17 Erik Ostrowski , Bharath Srinivas Prabakaran , Muhammad Shafique

Matrix-variate distributions can intuitively model the dependence structure of matrix-valued observations that arise in applications with multivariate time series, spatio-temporal or repeated measures. This paper develops an…

Methodology · Statistics 2019-12-24 Geoffrey Z. Thompson , Ranjan Maitra , William Q. Meeker , Ashraf Bastawros

Although various clustering methods have been successfully applied to polarimetric synthetic aperture radar (PolSAR) image clustering tasks, most of the available approaches fail to realize automatic determination of cluster number, nor…

Image and Video Processing · Electrical Eng. & Systems 2021-04-06 Shijie Ren , Feng Zhou , Changlong Wang

For modern industrial applications, accurately detecting and diagnosing anomalies in multivariate time series data is essential. Despite such need, most state-of-the-art methods often prioritize detection performance over model…

Machine Learning · Computer Science 2024-10-31 Minha Kim , Kishor Kumar Bhaumik , Amin Ahsan Ali , Simon S. Woo

This paper deals with a clustering algorithm for histogram data based on a Self-Organizing Map (SOM) learning. It combines a dimension reduction by SOM and the clustering of the data in a reduced space. Related to the kind of data, a…

Machine Learning · Computer Science 2021-09-10 Guénaël Cabanes , Younès Bennani , Rosanna Verde , Antonio Irpino

Generating realistic MRIs to accurately predict future changes in the structure of brain is an invaluable tool for clinicians in assessing clinical outcomes and analysing the disease progression at the patient level. However, current…

Computer Vision and Pattern Recognition · Computer Science 2025-09-04 Mattia Litrico , Francesco Guarnera , Mario Valerio Giuffrida , Daniele Ravì , Sebastiano Battiato

We investigate whether the Wigner semi-circle and Marcenko-Pastur distributions, often used for deep neural network theoretical analysis, match empirically observed spectral densities. We find that even allowing for outliers, the observed…

Machine Learning · Statistics 2021-11-04 Diego Granziol

In the present work, eigenvalue distributions defined by a random rectangular matrix whose components are neither independently nor identically distributed are analyzed using replica analysis and belief propagation. In particular, we…

Portfolio Management · Quantitative Finance 2016-05-24 Takashi Shinzato

Characterising the representation of sensory stimuli in the brain is a fundamental scientific endeavor, which can illuminate principles of information coding. Most characterizations reduce the dimensionality of neural data by converting…

Neurons and Cognition · Quantitative Biology 2024-01-23 James B Isbister

We study the partial transposition ${W}^\Gamma=(\mathrm{id}\otimes \mathrm{t})W\in M_{dn}(\mathbb C)$ of a Wishart matrix $W\in M_{dn}(\mathbb C)$ of parameters $(dn,dm)$. Our main result is that, with $d\to\infty$, the law of $m{W}^\Gamma$…

Probability · Mathematics 2013-08-16 Teodor Banica , Ion Nechita

Modeling observations as random distributions embedded within Wasserstein spaces is becoming increasingly popular across scientific fields, as it captures the variability and geometric structure of the data more effectively. However, the…

Statistics Theory · Mathematics 2026-04-08 François Bachoc , Alberto González-Sanz , Jean-Michel Loubes , Yisha Yao

The paper deals with a Batch Self Organizing Map algorithm (DBSOM) for data described by distributional-valued variables. This kind of variables is characterized to take as values one-dimensional probability or frequency distributions on a…

Other Statistics · Statistics 2019-04-01 Antonio Irpino , Francisco De Carvalho , Rosanna Verde , Antonio Balzanella

Identifying epileptic seizures through analysis of the electroencephalography (EEG) signal becomes a standard method for the diagnosis of epilepsy. Manual seizure identification on EEG by trained neurologists is time-consuming,…

Machine Learning · Computer Science 2019-06-07 X. Yao , X. Li , Q. Ye , Y. Huang , Q. Cheng , G. -Q. Zhang

White matter (WM) tract segmentation is a crucial step for brain connectivity studies. It is performed on diffusion magnetic resonance imaging (dMRI), and deep neural networks (DNNs) have achieved promising segmentation accuracy. Existing…

Image and Video Processing · Electrical Eng. & Systems 2023-09-26 Wan Liu , Chuyang Ye

This paper develops on-line inference for the multivariate local level model, with the focus being placed on covariance estimation of the innovations. We assess the application of the inverse Wishart prior distribution in this context and…

Methodology · Statistics 2013-11-05 K. Triantafyllopoulos

Spike sorting is an essential process in neural recording, which identifies and separates electrical signals from individual neurons recorded by electrodes in the brain, enabling researchers to study how specific neurons communicate and…

Neurons and Cognition · Quantitative Biology 2025-12-23 Yimu Zhang , Dongqi Han , Yansen Wang , Zhenning Lv , Yu Gu , Dongsheng Li

Empirical risk minimization (ERM) is not robust to changes in the distribution of data. When the distribution of test data is different from that of training data, the problem is known as out-of-distribution generalization. Recently, two…

Computer Vision and Pattern Recognition · Computer Science 2025-01-16 Shijian Xu

This paper presents a novel approach to the analysis of spatial behavior distribution, utilizing weighted Voronoi diagrams. The objective is to map and understand how an experimental subject moves and spends time in various areas of a given…

Deploying clinical prediction models across healthcare systems often fails when key training covariates are unavailable at deployment and labeled outcomes are limited in the target domain. For example, high-performing models for…

Class distribution mismatch (CDM) refers to the discrepancy between class distributions in training data and target tasks. Previous methods address this by designing classifiers to categorize classes known during training, while grouping…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Pan Du , Wangbo Zhao , Xinai Lu , Nian Liu , Zhikai Li , Chaoyu Gong , Suyun Zhao , Hong Chen , Cuiping Li , Kai Wang , Yang You