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The truncated moment problem consists of determining whether a given finitedimensional vector of real numbers y is obtained by integrating a basis of the vector space of polynomials of bounded degree with respect to a non-negative measure…

Algebraic Geometry · Mathematics 2023-02-15 Didier Henrion , Simone Naldi , Mohab Safey El Din

Blind system identification is known to be an ill-posed problem and without further assumptions, no unique solution is at hand. In this contribution, we are concerned with the task of identifying an ARX model from only output measurements.…

Systems and Control · Computer Science 2013-12-10 Henrik Ohlsson , Lillian J. Ratliff , Roy Dong , S. Shankar Sastry

Blind system identification is known to be a hard ill-posed problem and without further assumptions, no unique solution is at hand. In this contribution, we are concerned with the task of identifying an ARX model from only output…

Systems and Control · Computer Science 2013-03-28 Henrik Ohlsson , Lillian Ratliff , Roy Dong , S. Shankar Sastry

Though semantic segmentation has been heavily explored in vision literature, unique challenges remain in the remote sensing domain. One such challenge is how to handle resolution mismatch between overhead imagery and ground-truth label…

Computer Vision and Pattern Recognition · Computer Science 2022-11-30 Scott Workman , Armin Hadzic , M. Usman Rafique

While much of recent study in semi-supervised learning (SSL) has achieved strong performance on single-label classification problems, an equally important yet underexplored problem is how to leverage the advantage of unlabeled data in…

Computer Vision and Pattern Recognition · Computer Science 2022-08-31 Junxiang Huang , Alexander Huang , Beatriz C. Guerra , Yen-Yun Yu

Extreme multi-label classification (XMC) is the problem of finding the relevant labels for an input, from a very large universe of possible labels. We consider XMC in the setting where labels are available only for groups of samples - but…

Machine Learning · Computer Science 2020-04-02 Yanyao Shen , Hsiang-fu Yu , Sujay Sanghavi , Inderjit Dhillon

We develop an efficient alternating framework for learning a generalized version of Factorization Machine (gFM) on steaming data with provable guarantees. When the instances are sampled from $d$ dimensional random Gaussian vectors and the…

Machine Learning · Statistics 2016-10-27 Ming Lin , Jieping Ye

We consider the problem of exact low-rank matrix completion from a geometric viewpoint: given a partially filled matrix M, we keep the positions of specified and unspecified entries fixed, and study how the minimal completion rank depends…

Statistics Theory · Mathematics 2019-09-24 Daniel Irving Bernstein , Grigoriy Blekherman , Rainer Sinn

Given a compact parameter set $Y\subset R^p$, we consider polynomial optimization problems $(P_y$) on $R^n$ whose description depends on the parameter $y\inY$. We assume that one can compute all moments of some probability measure $\phi$ on…

Optimization and Control · Mathematics 2009-05-18 Jean B. Lasserre

In this paper we study the problem of recovering a low-rank matrix from linear measurements. Our algorithm, which we call Procrustes Flow, starts from an initial estimate obtained by a thresholding scheme followed by gradient descent on a…

Optimization and Control · Mathematics 2016-02-08 Stephen Tu , Ross Boczar , Max Simchowitz , Mahdi Soltanolkotabi , Benjamin Recht

We consider the iterative solution of large linear systems of equations in which the coefficient matrix is the sum of two terms, a sparse matrix $A$ and a possibly dense, rank deficient matrix of the form $\gamma UU^T$, where $\gamma > 0$…

Numerical Analysis · Mathematics 2022-11-08 Michele Benzi , Chiara Faccio

We propose a unified framework for estimating low-rank matrices through nonconvex optimization based on gradient descent algorithm. Our framework is quite general and can be applied to both noisy and noiseless observations. In the general…

Machine Learning · Statistics 2016-10-18 Lingxiao Wang , Xiao Zhang , Quanquan Gu

In the problem of learning a mixture of linear classifiers, the aim is to learn a collection of hyperplanes from a sequence of binary responses. Each response is a result of querying with a vector and indicates the side of a randomly chosen…

Machine Learning · Statistics 2020-12-29 Venkata Gandikota , Arya Mazumdar , Soumyabrata Pal

This paper studies the problem of novel category discovery on single- and multi-modal data with labels from different but relevant categories. We present a generic, end-to-end framework to jointly learn a reliable representation and assign…

Computer Vision and Pattern Recognition · Computer Science 2021-10-18 Xuhui Jia , Kai Han , Yukun Zhu , Bradley Green

In this paper, we develop a unified approach to study partial identification of a finite-dimensional parameter defined by a general moment model with incomplete data. We establish a novel characterization of the identified set for the true…

Econometrics · Economics 2025-10-03 Yanqin Fan , Hyeonseok Park , Brendan Pass , Xuetao Shi

Matrix completion is a modern missing data problem where both the missing structure and the underlying parameter are high dimensional. Although missing structure is a key component to any missing data problems, existing matrix completion…

Machine Learning · Statistics 2020-03-23 Xiaojun Mao , Raymond K. W. Wong , Song Xi Chen

While supervised techniques in re-identification are extremely effective, the need for large amounts of annotations makes them impractical for large camera networks. One-shot re-identification, which uses a singular labeled tracklet for…

Computer Vision and Pattern Recognition · Computer Science 2020-07-23 Dripta S. Raychaudhuri , Amit K. Roy-Chowdhury

Matrix completion is a classical problem in data science wherein one attempts to reconstruct a low-rank matrix while only observing some subset of the entries. Previous authors have phrased this problem as a nuclear norm minimization…

Machine Learning · Computer Science 2019-04-19 Christian Parkinson , Kevin Huynh , Deanna Needell

To calculate the model accuracy on a computer vision task, e.g., object recognition, we usually require a test set composing of test samples and their ground truth labels. Whilst standard usage cases satisfy this requirement, many…

Computer Vision and Pattern Recognition · Computer Science 2021-05-26 Weijian Deng , Liang Zheng

We consider the problem of recovering a single or multiple frequency-sparse signals, which share the same frequency components, from a subset of regularly spaced samples. The problem is referred to as continuous compressed sensing (CCS) in…

Information Theory · Computer Science 2014-10-24 Zai Yang , Lihua Xie
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