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In this paper, we consider voxel selection for functional Magnetic Resonance Imaging (fMRI) brain data with the aim of finding a more complete set of probably correlated discriminative voxels, thus improving interpretation of the discovered…

Computer Vision and Pattern Recognition · Computer Science 2015-06-09 Yilun Wang , Junjie Zheng , Sheng Zhang , Xujun Duan , Huafu Chen

Principal component regression (PCR) is a two-stage procedure: the first stage performs principal component analysis (PCA) and the second stage constructs a regression model whose explanatory variables are replaced by principal components…

Machine Learning · Statistics 2021-11-22 Shuichi Kawano

Noise plagues many numerical datasets, where the recorded values in the data may fail to match the true underlying values due to reasons including: erroneous sensors, data entry/processing mistakes, or imperfect human estimates. We consider…

Machine Learning · Statistics 2024-03-14 Hang Zhou , Jonas Mueller , Mayank Kumar , Jane-Ling Wang , Jing Lei

This work concerns noise reduction for one-dimensional spectra in the case that the signal is corrupted by an additive white noise. The proposed method starts with mapping the noisy spectrum to a partial circulant matrix. In virtue of…

Data Analysis, Statistics and Probability · Physics 2020-10-29 X. C. Chen , Yu. A. Litvinov , M. Wang , Q. Wang , Y. H. Zhang

Gene expression estimation from pathology images has the potential to reduce the RNA sequencing cost. Point-wise loss functions have been widely used to minimize the discrepancy between predicted and absolute gene expression values.…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Kazuya Nishimura , Haruka Hirose , Ryoma Bise , Kaito Shiku , Yasuhiro Kojima

Magnetic particle imaging is an emerging quantitative imaging modality, exploiting the unique nonlinear magnetization phenomenon of superparamagnetic iron oxide nanoparticles for recovering the concentration. Traditionally the…

Numerical Analysis · Mathematics 2020-06-09 Tobias Kluth , Bangti Jin

In reinforcement learning, policy gradient algorithms optimize the policy directly and rely on sampling efficiently an environment. Nevertheless, while most sampling procedures are based on direct policy sampling, self-performance measures…

Machine Learning · Computer Science 2020-11-23 Yannis Flet-Berliac , Philippe Preux

A low rank matrix X has been contaminated by uniformly distributed noise, missing values, outliers and corrupt entries. Reconstruction of X from the singular values and singular vectors of the contaminated matrix Y is a key problem in…

Information Theory · Computer Science 2017-11-21 Danny Barash , Matan Gavish

Real-time multi-camera 3D reconstruction is crucial for 3D perception, immersive interaction, and robotics. Existing methods struggle with multi-view fusion, camera extrinsic uncertainty, and scalability for large camera setups. We propose…

Computer Vision and Pattern Recognition · Computer Science 2026-02-09 Chentian Sun

Signal estimation from incomplete observations improves as more signal structure can be exploited in the inference process. Classic algorithms (e.g., Kalman filtering) have exploited strong dynamic structure for time-varying signals while…

Statistics Theory · Mathematics 2015-07-23 Adam S. Charles , Christopher J. Rozell

PINT is a pure-Python framework for high-precision pulsar timing developed on top of widely used and well-tested Python libraries, supporting both interactive and programmatic data analysis workflows. We present a new frequentist framework…

It is by now well established that noise itself can be useful for performing quantum information processing tasks. We present results which show how one can effectively reduce the error rate associated with a noisy quantum channel, by…

Quantum Physics · Physics 2017-11-15 Jeffrey Marshall , Lorenzo Campos Venuti , Paolo Zanardi

This paper presents a performance analysis of the MUltiple SIgnal Classification (MUSIC) algorithm applied on $D$ dimensional single-snapshot spectral estimation while $s$ true frequencies are located on the continuum of a bounded domain.…

Information Theory · Computer Science 2016-11-17 Wenjing Liao

We propose the first fractal frequency mapping, which in a simple form enables to replicate complex neuronal effects. Unlike the conventional filters, which suppress or amplify the input spectral components according to the filter weights,…

Neurons and Cognition · Quantitative Biology 2025-08-08 Mariia Sorokina

Seismic attributes calculated by conventional methods are susceptible to noise. Conventional filtering reduces the noise in the cost of losing the spectral bandwidth. The challenge of having a high-resolution and robust signal processing…

Geophysics · Physics 2020-12-02 M. Kazemnia Kakhki , W. J. Mansur , K. Aghazadeh

The truncated singular value decomposition (SVD) of the measurement matrix is the optimal solution to the_representation_ problem of how to best approximate a noisy measurement matrix using a low-rank matrix. Here, we consider the…

Statistics Theory · Mathematics 2014-04-21 Raj Rao Nadakuditi

In recent years, there is a growing need for processing methods aimed at extracting useful information from large datasets. In many cases the challenge is to discover a low-dimensional structure in the data, often concealed by the existence…

Statistics Theory · Mathematics 2019-06-05 Yariv Aizenbud , Boris Landa , Yoel Shkolnisky

We develop a data-driven optimal shrinkage algorithm for matrix denoising in the presence of high-dimensional noise with a separable covariance structure; that is, the noise is colored and dependent across samples. The algorithm, coined…

Applications · Statistics 2024-05-14 Pei-Chun Su , Hau-Tieng Wu

Seismic data noise processing is an important part of seismic exploration data processing, and the effect of noise elimination is directly related to the follow-up processing of data. In response to this problem, many authors have proposed…

Geophysics · Physics 2024-10-28 Junheng Peng , Yong Li , Zhangquan Liao , Xuben Wang , Xingyu Yang

Random and structured noise both affect seismic data, hiding the reflections of interest (primaries) that carry meaningful geophysical interpretation. When the structured noise is composed of multiple reflections, its adaptive cancellation…

Geophysics · Physics 2014-06-19 Mai Quyen Pham , Caroline Chaux , Laurent Duval , Jean-Christophe Pesquet