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We consider learning from data of variable quality that may be obtained from different heterogeneous sources. Addressing learning from heterogeneous data in its full generality is a challenging problem. In this paper, we adopt instead a…

Machine Learning · Computer Science 2014-12-19 Shuang Song , Kamalika Chaudhuri , Anand D. Sarwate

Changes in the number of copies of certain parts of the genome, known as copy number alterations (CNAs), due to somatic mutation processes are a hallmark of many cancers. This genomic complexity is known to be associated with poorer…

Genomics · Quantitative Biology 2024-08-26 Charles Gadd , Christopher Yau

We propose a data processing technique that allows searches for a stochastic background of gravitational radiation with data from a single detector. Our technique exploits the difference between the coherence time of the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2012-05-22 Massimo Tinto , J. W. Armstrong

Feature noise and label noise are ubiquitous in practical scenarios, which pose great challenges for training a robust machine learning model. Most previous approaches usually deal with only a single problem of either feature noise or label…

Machine Learning · Computer Science 2024-07-08 Yang Wei , Shuo Chen , Shanshan Ye , Bo Han , Chen Gong

The variation in DNA copy number carries information on the modalities of genome evolution and misregulation of DNA replication in cancer cells; its study can be helpful to localize tumor suppressor genes, distinguish different populations…

Methodology · Statistics 2012-03-20 Zhongyang Zhang , Kenneth Lange , Chiara Sabatti

Fault diagnosis plays an essential role in reducing the maintenance costs of rotating machinery manufacturing systems. In many real applications of fault detection and diagnosis, data tend to be imbalanced, meaning that the number of…

Machine Learning · Computer Science 2022-03-30 Masoud Jalayer , Amin Kaboli , Carlotta Orsenigo , Carlo Vercellis

Deep neural networks can memorize corrupted labels, making data quality critical for model performance, yet real-world datasets are frequently compromised by both label noise and input noise. This paper proposes a mutual information-based…

Machine Learning · Computer Science 2025-08-12 Jinghan Yang , Jiayu Weng

Principal Component Analysis (PCA) is one of the most used tools for extracting low-dimensional representations of data, in particular for time series. Performances are known to strongly depend on the quality (amount of noise) and the…

Applications · Statistics 2024-12-16 Mariia Legenkaia , Laurent Bourdieu , Rémi Monasson

Motivation: As cancer researchers have come to appreciate the importance of intratumor heterogeneity, much attention has focused on the challenges of accurately profiling heterogeneity in individual patients. Experimental technologies for…

Genomics · Quantitative Biology 2018-02-07 Theodore Roman , Lu Xie , Russell Schwartz

Noise reduction constitutes a crucial operation within Digital Signal Processing. Regrettably, it frequently remains neglected when dealing with the processing of convolutional features in segmentation networks. This oversight could trigger…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Hong Zheng , Nan Mu , Han Su , Lin Feng , Xiaoning Li

Autism spectrum disorder (ASD) is a heterogeneous neurodevelopmental disorder (NDD) that is caused by genetic, epigenetic, and environmental factors. Recent advances in genomic analysis have uncovered numerous candidate genes with common…

We introduce a noise-aware extension to the parametric maximum-likelihood framework for component separation by modeling correlated $1/f^\alpha$ noise as a harmonic-space power law. This approach addresses a key limitation of existing…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-07 Goureesankar Sathyanathan , Josquin Errard , Soumen Basak

Batch effects represent a major confounder in genomic diagnostics. In copy number variant (CNV) detection from NGS, many algorithms compare read depth between test samples and a reference sample, assuming they are process-matched. When this…

Genomics · Quantitative Biology 2026-01-16 Austin Talbot , Yue Ke

Noise in various interferometer systems can sometimes couple non-linearly to create excess noise in the gravitational wave (GW) strain data. Third-order statistics, such as bicoherence and biphase, can identify these couplings and help…

General Relativity and Quantum Cosmology · Physics 2024-07-29 Bernard Hall , Sudhagar Suyamprakasam , Nairwita Mazumder , Anupreeta More , Sukanta Bose

Self-synchronization under the presence of additive noise can be achieved by allocating a certain number of bits of each codeword as markers for synchronization. Difference systems of sets are combinatorial designs which specify the…

Information Theory · Computer Science 2013-03-19 Yuichiro Fujiwara , Vladimir D. Tonchev

Technical and environmental noise in ground-based laser interferometers designed for gravitational-wave observations like Advanced LIGO, Advanced Virgo and KAGRA, can manifest as narrow (<1Hz) or broadband ($10'$s or even $100'$s of Hz)…

General Relativity and Quantum Cosmology · Physics 2025-09-17 Christina Reissel , Siddharth Soni , Muhammed Saleem , Michael Coughlin , Philip Harris , Erik Katsavounidis

Constraint-based methods and noise-based methods are two distinct families of methods proposed for uncovering causal graphs from observational data. However, both operate under strong assumptions that may be challenging to validate or could…

Artificial Intelligence · Computer Science 2024-05-01 Daria Bystrova , Charles K. Assaad , Julyan Arbel , Emilie Devijver , Eric Gaussier , Wilfried Thuiller

Genomic variants, including copy number variants (CNVs) and genome-wide associa-tion study (GWAS) single nucleotide polymorphisms (SNPs), represent structural alterations that influence genomic diversity and disease susceptibility. While…

Genomics · Quantitative Biology 2024-11-28 Yuheng Liang , Sedigheh Abedini , Nona Farbehi , Hamid Alinejad-Rokny

We propose a change-point detection method for large scale multiple testing problems with data having clustered signals. Unlike the classic change-point setup, the signals can vary in size within a cluster. The clustering structure on the…

Methodology · Statistics 2021-10-07 Hongyuan Cao , Wei Biao Wu

Deep Learning based methods have emerged as the indisputable leaders for virtually all image restoration tasks. Especially in the domain of microscopy images, various content-aware image restoration (CARE) approaches are now used to improve…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Mangal Prakash , Alexander Krull , Florian Jug