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High-density DNA arrays, used to monitor gene expression at a genomic scale, have produced vast amounts of information which require the development of efficient computational methods to analyze them. The important first step is to extract…

Biological Physics · Physics 2009-10-31 G. Getz , E. Levine , E. Domany , M. Q. Zhang

A novel procedure to perform fuzzy clustering of multivariate time series generated from different dependence models is proposed. Different amounts of dissimilarity between the generating models or changes on the dynamic behaviours over…

Methodology · Statistics 2021-09-09 Ángel López-Oriona , José A. Vilar , Pierpaolo-D'Urso

The propagation of noise through parallel regulatory pathways is a characteristic feature of feed-forward loops in genetic networks. Although the contributions of the direct and indirect regulatory pathways of feed-forward loops to output…

Molecular Networks · Quantitative Biology 2025-07-10 Mintu Nandi , Sudip Chattopadhyay , Suman K Banik

Transceivers used for telecommunications transmit and receive specific modulation patterns that are represented as sequences of complex numbers. Classifying modulation patterns is challenging because noise and channel impairments affect the…

Machine Learning · Computer Science 2020-10-30 Jakob Krzyston , Rajib Bhattacharjea , Andrew Stark

Diffusion models (DMs) have become dominant in visual generation but suffer performance drop when tested on resolutions that differ from the training scale, whether lower or higher. In fact, the key challenge in generating variable-scale…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Guohui Zhang , Jiangtong Tan , Linjiang Huang , Zhonghang Yuan , Mingde Yao , Jie Huang , Feng Zhao

Bi-clustering is a useful approach in analyzing biological data when observations come from heterogeneous groups and have a large number of features. We outline a general Bayesian approach in tackling bi-clustering problems in moderate to…

Applications · Statistics 2021-02-11 Han Yan , Jiexing Wu , Yang Li , Jun S. Liu

A central challenge in computational modeling of dynamic biological systems is parameter inference from experimental time course measurements. However, one would not only like to infer kinetic parameters but also study their variability…

Discovering and characterizing the large-scale topological features in empirical networks are crucial steps in understanding how complex systems function. However, most existing methods used to obtain the modular structure of networks…

Data Analysis, Statistics and Probability · Physics 2014-03-26 Tiago P. Peixoto

We consider the problem of sparse variable selection on high dimension heterogeneous data sets, which has been taking on renewed interest recently due to the growth of biological and medical data sets with complex, non-i.i.d. structures and…

Methodology · Statistics 2024-04-22 Hui Liu , Xiang Liu , Jing Diao , Wenting Ye , Xueling Liu , Dehui Wei

Multi-sensor data that track system operating behaviors are widely available nowadays from various engineering systems. Measurements from each sensor over time form a curve and can be viewed as functional data. Clustering of these…

Methodology · Statistics 2024-01-08 Zhongnan Jin , Jie Min , Yili Hong , Pang Du , Qingyu Yang

We derive exact solutions of simplified models for the temporal evolution of the protein concentration within a cell population arbitrarily far from the stationary state. We show that monitoring the dynamics can assist in modeling and…

Biomolecules · Quantitative Biology 2015-05-13 Sandro Azaele , Jayanth R. Banavar , Amos Maritan

The density estimation is one of the core problems in statistics. Despite this, existing techniques like maximum likelihood estimation are computationally inefficient due to the intractability of the normalizing constant. For this reason an…

Machine Learning · Computer Science 2021-01-14 Tsimboy Olga , Yermek Kapushev , Evgeny Burnaev , Ivan Oseledets

This paper presents a novel method for fault detection in vibration/acoustic signals contaminated with non-Gaussian noise, specifically addressing the challenge of random impulsive and wideband disturbances in industrial measurements. While…

Signal Processing · Electrical Eng. & Systems 2025-02-18 A Drewnicka , A Michalak , R Zimroz , A Kumar , A Wyłomańska , J Wodecki

Brain decoding algorithms form an important part of the arsenal of analysis tools available to neuroscientists, allowing for a more detailed study of the kind of information represented in patterns of cortical activity. While most current…

Quantitative Methods · Quantitative Biology 2017-08-17 R. S. van Bergen , J. F. M. Jehee

Identifying drivers of complex traits from the noisy signals of genetic variation obtained from high throughput genome sequencing technologies is a central challenge faced by human geneticists today. We hypothesize that the variants…

Populations and Evolution · Quantitative Biology 2013-06-18 M. Cyrus Maher , Lawrence H. Uricchio , Dara G. Torgerson , Ryan D. Hernandez

Over the past decades, statisticians and machine-learning researchers have developed literally thousands of new tools for the reduction of high-dimensional data in order to identify the variables most responsible for a particular trait.…

Machine Learning · Statistics 2012-05-31 Chamont Wang , Jana Gevertz , Chaur-Chin Chen , Leonardo Auslender

Spatial, amplitude and phase variations in spatial functional data are confounded. Conclusions from the popular functional trace variogram, which quantifies spatial variation, can be misleading when analysing misaligned functional data with…

Methodology · Statistics 2020-10-20 Xiaohan Guo , Sebastian Kurtek , Karthik Bharath

In this paper, we analyze electroencephalograms (EEG) which are recordings of brain electrical activity. We develop new clustering methods for identifying synchronized brain regions, where the EEGs show similar oscillations or waveforms…

Methodology · Statistics 2020-07-29 Tianbo Chen , Ying Sun , Carolina Euan , Hernando Ombao

Microarrays are made it possible to simultaneously monitor the expression profiles of thousands of genes under various experimental conditions. Identification of co-expressed genes and coherent patterns is the central goal in microarray or…

Computational Engineering, Finance, and Science · Computer Science 2013-07-15 T. Chandrasekhar , K. Thangavel , E. Elayaraja , E. N. Sathishkumar

High-dimensional data must be highly structured to be learnable. Although the compositional and hierarchical nature of data is often put forward to explain learnability, quantitative measurements establishing these properties are scarce.…

Machine Learning · Statistics 2025-03-04 Antonio Sclocchi , Alessandro Favero , Noam Itzhak Levi , Matthieu Wyart
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