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Maximizing the area under the receiver operating characteristic curve (AUC) is a standard approach to imbalanced classification. So far, various supervised AUC optimization methods have been developed and they are also extended to…

机器学习 · 统计学 2022-04-12 Tomoya Sakai , Gang Niu , Masashi Sugiyama

Traditional sampling theories consider the problem of reconstructing an unknown signal $x$ from a series of samples. A prevalent assumption which often guarantees recovery from the given measurements is that $x$ lies in a known subspace.…

元胞自动机与格子气 · 物理学 2009-03-30 Yonina C. Eldar , Moshe Mishali

Compressed sensing techniques enable efficient acquisition and recovery of sparse, high-dimensional data signals via low-dimensional projections. In this work, we propose Uncertainty Autoencoders, a learning framework for unsupervised…

机器学习 · 统计学 2019-04-15 Aditya Grover , Stefano Ermon

Parallel acquisition systems are employed successfully in a variety of different sensing applications when a single sensor cannot provide enough measurements for a high-quality reconstruction. In this paper, we consider compressed sensing…

信息论 · 计算机科学 2023-08-31 Il Yong Chun , Ben Adcock

Recent advances in quantized compressed sensing and high-dimensional estimation have shown that signal recovery is even feasible under strong non-linear distortions in the observation process. An important characteristic of associated…

信息论 · 计算机科学 2023-08-08 Martin Genzel , Alexander Stollenwerk

Compressed sensing (CS) demonstrates that a sparse, or compressible signal can be acquired using a low rate acquisition process below the Nyquist rate, which projects the signal onto a small set of vectors incoherent with the sparsity…

信息论 · 计算机科学 2014-02-25 Yuli Sun , Jinxu Tao

In the Multiple Measurements Vector (MMV) model, measurement vectors are connected to unknown, jointly sparse signal vectors through a linear regression model employing a single known measurement matrix (or dictionary). Typically, the…

统计方法学 · 统计学 2024-08-05 Esa Ollila

In this paper we present a new algorithm for compressive sensing that makes use of binary measurement matrices and achieves exact recovery of ultra sparse vectors, in a single pass and without any iterations. Due to its noniterative nature,…

信息论 · 计算机科学 2018-05-22 Mahsa Lotfi , Mathukumalli Vidyasagar

This paper considers binary and multilabel classification problems in a setting where labels are missing independently and with a known rate. Missing labels are a ubiquitous phenomenon in extreme multi-label classification (XMC) tasks, such…

机器学习 · 计算机科学 2021-09-24 Erik Schultheis , Rohit Babbar

Compressed sensing (CS) is about recovering a structured signal from its under-determined linear measurements. Starting from sparsity, recovery methods have steadily moved towards more complex structures. Emerging machine learning tools…

信息论 · 计算机科学 2019-12-18 Pei Peng , Shirin Jalali , Xin Yuan

In this paper, we study a general framework for compressive sensing assuming the existence of the prior knowledge that $\boldsymbol{x}^*$ belongs to the union of multiple convex sets, $\boldsymbol{x}^{*} \in \bigcup_i \mathcal{C}_i$. In…

最优化与控制 · 数学 2019-08-14 Hang Zhang , Afshin Abdi , Faramarz Fekri

Unsupervised Deep Distance Metric Learning (UDML) aims to learn sample similarities in the embedding space from an unlabeled dataset. Traditional UDML methods usually use the triplet loss or pairwise loss which requires the mining of…

计算机视觉与模式识别 · 计算机科学 2020-09-10 Binh X. Nguyen , Binh D. Nguyen , Gustavo Carneiro , Erman Tjiputra , Quang D. Tran , Thanh-Toan Do

Snapshot compressed sensing (CS) refers to compressive imaging systems in which multiple frames are mapped into a single measurement frame. Each pixel in the acquired frame is a noisy linear mapping of the corresponding pixels in the frames…

信息论 · 计算机科学 2019-04-30 Shirin Jalali , Xin Yuan

The goal in signal compression is to reduce the size of the input signal without a significant loss in the quality of the recovered signal. One way to achieve this goal is to apply the principles of compressive sensing, but this has not…

信号处理 · 电气工程与系统科学 2020-03-09 Fereshteh Fakhar Firouzeh , John W. Chinneck , Sreeraman Rajan

In the application of machine learning to remote sensing, labeled data is often scarce or expensive, which impedes the training of powerful models like deep convolutional neural networks. Although unlabeled data is abundant, recent…

计算机视觉与模式识别 · 计算机科学 2021-08-12 Aidan M. Swope , Xander H. Rudelis , Kyle T. Story

A new framework of compressive sensing (CS), namely statistical compressive sensing (SCS), that aims at efficiently sampling a collection of signals that follow a statistical distribution and achieving accurate reconstruction on average, is…

计算机视觉与模式识别 · 计算机科学 2010-10-22 Guoshen Yu , Guillermo Sapiro

The sparse signal recovery in the standard compressed sensing (CS) problem requires that the sensing matrix be known a priori. Such an ideal assumption may not be met in practical applications where various errors and fluctuations exist in…

信息论 · 计算机科学 2015-06-03 Zai Yang , Cishen Zhang , Lihua Xie

Learning against label noise is a vital topic to guarantee a reliable performance for deep neural networks. Recent research usually refers to dynamic noise modeling with model output probabilities and loss values, and then separates clean…

机器学习 · 统计学 2022-07-13 Yingsong Huang , Bing Bai , Shengwei Zhao , Kun Bai , Fei Wang

In this paper we develop a novel computational sensing framework for sensing and recovering structured signals. When trained on a set of representative signals, our framework learns to take undersampled measurements and recover signals from…

机器学习 · 统计学 2017-07-12 Ali Mousavi , Gautam Dasarathy , Richard G. Baraniuk

One-bit compressed sensing (1bCS) is an extreme-quantized signal acquisition method that has been intermittently studied in the past decade. In 1bCS, linear samples of a high dimensional signal are quantized to only one bit per sample (sign…

信息论 · 计算机科学 2021-09-15 Arya Mazumdar , Soumyabrata Pal