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We consider the problem of recovering a low-rank matrix from its clipped observations. Clipping is conceivable in many scientific areas that obstructs statistical analyses. On the other hand, matrix completion (MC) methods can recover a…

机器学习 · 计算机科学 2019-03-05 Takeshi Teshima , Miao Xu , Issei Sato , Masashi Sugiyama

This paper studies the problem of post-hoc calibration of machine learning classifiers. We introduce the following desiderata for uncertainty calibration: (a) accuracy-preserving, (b) data-efficient, and (c) high expressive power. We show…

机器学习 · 计算机科学 2020-07-01 Jize Zhang , Bhavya Kailkhura , T. Yong-Jin Han

We introduce a comprehensive and statistical framework in a model free setting for a complete treatment of localized data corruptions due to severe noise sources, e.g., an occluder in the case of a visual recording. Within this framework,…

机器学习 · 计算机科学 2014-10-02 Huseyin Ozkan , Ozgun S. Pelvan , Suleyman S. Kozat

The problem of determining the configuration of points from partial distance information, known as the Euclidean Distance Geometry (EDG) problem, is fundamental to many tasks in the applied sciences. In this paper, we propose two algorithms…

最优化与控制 · 数学 2024-10-10 Chandler Smith , HanQin Cai , Abiy Tasissa

Recently, ad-hoc microphone array has been widely studied. Unlike traditional microphone array settings, the spatial arrangement and number of microphones of ad-hoc microphone arrays are not known in advance, which hinders the adaptation of…

声音 · 计算机科学 2021-07-02 Chengdong Liang , Junqi Chen , Shanzheng Guan , Xiao-Lei Zhang

We study the calibration process in circular ultrasound tomography devices where the sensor positions deviate from the circumference of a perfect circle. This problem arises in a variety of applications in signal processing ranging from…

机器学习 · 计算机科学 2016-11-18 Reza Parhizkar , Amin Karbasi , Sewoong Oh , Martin Vetterli

Matrix completion is a ubiquitous tool in machine learning and data analysis. Most work in this area has focused on the number of observations necessary to obtain an accurate low-rank approximation. In practice, however, the cost of…

机器学习 · 计算机科学 2021-04-19 Dong Hu , Alex Gittens , Malik Magdon-Ismail

With the aim of estimating the abundance map from observations only, linear unmixing approaches are not always suitable to spectral images, especially when the number of bands is too small or when the spectra of the observed data are too…

图像与视频处理 · 电气工程与系统科学 2025-03-27 Antoine Bottenmuller , Florent Magaud , Arnaud Demortière , Etienne Decencière , Petr Dokladal

A matrix completion problem is to recover the missing entries in a partially observed matrix. Most of the existing matrix completion methods assume a low rank structure of the underlying complete matrix. In this paper, we introduce an…

机器学习 · 统计学 2020-11-16 Chencheng Cai , Rong Chen , Han Xiao

This paper presents a method to reconstruct the 3D structure of generic convex rooms from sound signals. Differently from most of the previous approaches, the method is fully uncalibrated in the sense that no knowledge about the microphones…

声音 · 计算机科学 2016-06-21 Marco Crocco , Andrea Trucco , Alessio Del Bue

We consider the problem of positioning a cloud of points in the Euclidean space $\mathbb{R}^d$, using noisy measurements of a subset of pairwise distances. This task has applications in various areas, such as sensor network localization and…

统计理论 · 数学 2012-11-22 Adel Javanmard , Andrea Montanari

This paper concerns the problem of matrix completion, which is to estimate a matrix from observations in a small subset of indices. We propose a calibrated spectrum elastic net method with a sum of the nuclear and Frobenius penalties and…

统计理论 · 数学 2012-11-13 Tingni Sun , Cun-Hui Zhang

In the rapidly evolving fields of virtual and augmented reality, accurate spatial audio capture and reproduction are essential. For these applications, Ambisonics has emerged as a standard format. However, existing methods for encoding…

音频与语音处理 · 电气工程与系统科学 2024-11-27 Yhonatan Gayer , Vladimir Tourbabin , Zamir Ben-Hur , Jacob Donley , Boaz Rafaely

This paper considers the problem of matrix completion when the observed entries are noisy and contain outliers. It begins with introducing a new optimization criterion for which the recovered matrix is defined as its solution. This…

机器学习 · 统计学 2017-12-29 Raymond K. W. Wong , Thomas C. M. Lee

This paper studies low-rank matrix completion in the presence of heavy-tailed and possibly asymmetric noise, where we aim to estimate an underlying low-rank matrix given a set of highly incomplete noisy entries. Though the matrix completion…

统计理论 · 数学 2022-06-10 Bingyan Wang , Jianqing Fan

We proposed a new criterion \textit{noise-stability}, which revised the classical rigidity theory, for evaluation of MDS algorithms which can truthfully represent the fidelity of global structure reconstruction; then we proved the…

计算几何 · 计算机科学 2022-07-15 Zishuo Zhao

We study the problem of exact completion for $m \times n$ sized matrix of rank $r$ with the adaptive sampling method. We introduce a relation of the exact completion problem with the sparsest vector of column and row spaces (which we call…

机器学习 · 计算机科学 2022-03-08 Ilqar Ramazanli , Barnabas Poczos

In this paper a novel distributed algorithm for blind macro calibration in sensor networks based on output synchronization is proposed. The algorithm is formulated as a set of gradient-type recursions for estimating parameters of sensor…

系统与控制 · 计算机科学 2016-03-27 Miloš S. Stanković , Srđan S. Stanković , Karl Henrik Johansson

We consider the problem of noisy 1-bit matrix completion under an exact rank constraint on the true underlying matrix $M^*$. Instead of observing a subset of the noisy continuous-valued entries of a matrix $M^*$, we observe a subset of…

机器学习 · 统计学 2015-02-25 Sonia Bhaskar , Adel Javanmard

Euclidean embedding from noisy observations containing outlier errors is an important and challenging problem in statistics and machine learning. Many existing methods would struggle with outliers due to a lack of detection ability. In this…

机器学习 · 统计学 2020-12-24 Qian Zhang , Xinyuan Zhao , Chao Ding