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This paper studies the multi-task high-dimensional linear regression models where the noise among different tasks is correlated, in the moderately high dimensional regime where sample size $n$ and dimension $p$ are of the same order. Our…

Statistics Theory · Mathematics 2022-06-16 Kai Tan , Gabriel Romon , Pierre C Bellec

The performance of a quantum sensor is fundamentally limited by noise. This noise is particularly damaging when it becomes correlated with the readout of a target signal, caused by fluctuations of the sensor's operating parameters. These…

Noise in data appears to be inevitable in most real-world machine learning applications and would cause severe overfitting problems. Not only can data features contain noise, but labels are also prone to be noisy due to human input. In this…

Machine Learning · Computer Science 2025-05-09 Weipeng Huang , Qin Li , Yang Xiao , Cheng Qiao , Tie Cai , Junwei Liang , Neil J. Hurley , Guangyuan Piao

Filtering point targets in highly cluttered and noisy data frames can be very challenging, especially for complex target motions. Fixed motion models can fail to provide accurate predictions, while learning based algorithm can be difficult…

Computer Vision and Pattern Recognition · Computer Science 2019-02-21 Mehryar Emambakhsh , Alessandro Bay , Eduard Vazquez

Super-resolution imaging aims at improving the resolution of an image by enhancing it with other images or data that might have been acquired using different imaging techniques or modalities. In this paper we consider the task of doubling,…

Data Structures and Algorithms · Computer Science 2018-11-08 Andreas Alpers , Peter Gritzmann

Training Single-Image Super-Resolution (SISR) models using pixel-based regression losses can achieve high distortion metrics scores (e.g., PSNR and SSIM), but often results in blurry images due to insufficient recovery of high-frequency…

Image and Video Processing · Electrical Eng. & Systems 2024-09-10 Qiwen Zhu , Yanjie Wang , Shilv Cai , Liqun Chen , Jiahuan Zhou , Luxin Yan , Sheng Zhong , Xu Zou

We obtain an information theoretic criterion for the feasibility of assembling diffraction signals from noisy tomographs when the positions of the tomographs within the signal are unknown. For shot-noise limited data, the minimum number of…

Computational Physics · Physics 2007-09-26 Veit Elser

Conducting surveillance of the Earth's orbit is a key task towards achieving space situational awareness (SSA). Our work focuses on the optical detection of man-made objects (e.g., satellites, space debris) in Geostationary orbit (GEO),…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Daqi Liu , Bo Chen , Tat-Jun Chin , Mark Rutten

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 introduce a novel learning-based method to reconstruct the high-quality geometry and complex, spatially-varying BRDF of an arbitrary object from a sparse set of only six images captured by wide-baseline cameras under collocated point…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Sai Bi , Zexiang Xu , Kalyan Sunkavalli , David Kriegman , Ravi Ramamoorthi

Self-attention transformers have demonstrated accuracy for image classification with smaller data sets. However, a limitation is that tests to-date are based upon single class image detection with known representation of image populations.…

Machine Learning · Computer Science 2026-03-25 Veronica Wendt , Jacob Steiner , Byunggu Yu , Caleb Kelly , Justin Kim

We present a novel approach for recovering a sparse signal from cross-correlated data. Cross-correlations naturally arise in many fields of imaging, such as optics, holography and seismic interferometry. Compared to the sparse signal…

Signal Processing · Electrical Eng. & Systems 2021-04-28 Miguel Moscoso , Alexei Novikov , George Papanicolaou , Chrysoula Tsogka

Image denoising can be described as the problem of mapping from a noisy image to a noise-free image. In another paper, we show that multi-layer perceptrons can achieve outstanding image denoising performance for various types of noise…

Computer Vision and Pattern Recognition · Computer Science 2012-11-08 Harold Christopher Burger , Christian J. Schuler , Stefan Harmeling

Machine learning problems with multiple objective functions appear either in learning with multiple criteria where learning has to make a trade-off between multiple performance metrics such as fairness, safety and accuracy; or, in…

Machine Learning · Computer Science 2024-03-20 Heshan Fernando , Han Shen , Miao Liu , Subhajit Chaudhury , Keerthiram Murugesan , Tianyi Chen

Separating signals from an additive mixture may be an unnecessarily hard problem when one is only interested in specific properties of a given signal. In this work, we tackle simpler "statistical component separation" problems that focus on…

Machine Learning · Statistics 2024-03-01 Bruno Régaldo-Saint Blancard , Michael Eickenberg

In this paper, we investigate the problem of joint searching and tracking of multiple mobile targets by a group of mobile agents. The targets appear and disappear at random times inside a surveillance region and their positions are random…

Systems and Control · Electrical Eng. & Systems 2023-02-06 Savvas Papaioannou , Panayiotis Kolios , Theocharis Theocharides , Christos G. Panayiotou , Marios M. Polycarpou

Sparse-view computed tomography (CT) enables fast and low-dose CT imaging, an essential feature for patient-save medical imaging and rapid non-destructive testing. In sparse-view CT, only a few projection views are acquired, causing…

Image and Video Processing · Electrical Eng. & Systems 2024-02-28 Nadja Gruber , Johannes Schwab , Elke Gizewski , Markus Haltmeier

With the development of deep learning, medical image classification has been significantly improved. However, deep learning requires massive data with labels. While labeling the samples by human experts is expensive and time-consuming,…

Image and Video Processing · Electrical Eng. & Systems 2021-09-14 Jiarun Liu , Ruirui Li , Chuan Sun

This technical report is an extended version of the paper 'Cooperative Multi-Target Localization With Noisy Sensors' accepted to the 2013 IEEE International Conference on Robotics and Automation (ICRA). This paper addresses the task of…

Robotics · Computer Science 2015-01-30 Philip Dames , Vijay Kumar

In the multireference alignment model, a signal is observed by the action of a random circular translation and the addition of Gaussian noise. The goal is to recover the signal's orbit by accessing multiple independent observations. Of…

Information Theory · Computer Science 2018-11-06 Emmanuel Abbe , Tamir Bendory , William Leeb , João Pereira , Nir Sharon , Amit Singer
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