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A new approach to precise determination of atomic matrix elements is described whereby measurement of spectral locations of zeros in the Rayleigh scattering cross-section allows frequency-domain extraction of matrix elements in terms of a…

Quantum Physics · Physics 2015-08-12 M. D. Havey

Power systems are developing very fast nowadays, both in size and in complexity; this situation is a challenge for Early Event Detection (EED). This paper proposes a data- driven unsupervised learning method to handle this challenge.…

Methodology · Statistics 2015-09-16 Xing He , Robert Caiming Qiu , Qian Ai , Yinshuang Cao , Jie Gu , Zhijian Jin

The essence of distantly supervised relation extraction is that it is an incomplete multi-label classification problem with sparse and noisy features. To tackle the sparsity and noise challenges, we propose solving the classification…

Computation and Language · Computer Science 2014-11-18 Miao Fan , Deli Zhao , Qiang Zhou , Zhiyuan Liu , Thomas Fang Zheng , Edward Y. Chang

Following the discovery of the brightest high-energy neutrino sources in the sky, the further detection of fainter sources is more challenging. A natural solution is to combine fainter source candidates, and instead of individual…

High Energy Astrophysical Phenomena · Physics 2025-06-03 I. Bartos , M. Ackermann , M. Kowalski

Predicting unobserved entries of a partially observed matrix has found wide applicability in several areas, such as recommender systems, computational biology, and computer vision. Many scalable methods with rigorous theoretical guarantees…

Machine Learning · Statistics 2018-02-15 Vatsal Shah , Nikhil Rao , Weicong Ding

The experimental issue of the search for new particles of unknown mass poses the challenge of exploring a wide interval to look for the usual signatures represented by excess of events above the background. A side effect of such a broad…

Data Analysis, Statistics and Probability · Physics 2012-01-24 Gioacchino Ranucci

We consider the problem of ranking a set of items from pairwise comparisons in the presence of features associated with the items. Recent works have established that $O(n\log(n))$ samples are needed to rank well when there is no feature…

Machine Learning · Computer Science 2021-02-10 Aadirupa Saha , Arun Rajkumar

The problem of approximating a matrix by a low-rank one has been extensively studied. This problem assumes, however, that the whole matrix has a low-rank structure. This assumption is often false for real-world matrices. We consider the…

Data Structures and Algorithms · Computer Science 2025-11-05 Martino Ciaperoni , Aristides Gionis , Heikki Mannila

Recovering sparse vectors and low-rank matrices from noisy linear measurements has been the focus of much recent research. Various reconstruction algorithms have been studied, including $\ell_1$ and nuclear norm minimization as well as…

Optimization and Control · Mathematics 2011-11-10 Samet Oymak , Karthik Mohan , Maryam Fazel , Babak Hassibi

Click-based learning to rank (LTR) tackles the mismatch between click frequencies on items and their actual relevance. The approach of previous work has been to assume a model of click behavior and to subsequently introduce a method for…

Information Retrieval · Computer Science 2022-06-27 Harrie Oosterhuis

Given an undirected graph representing similarities between a set of items and an additive measure evaluating the items, we treat the position of a special subset of items in an ordinal ranking through a collection of combinatorial…

Data Structures and Algorithms · Computer Science 2026-05-05 Samuel Boardman

Matrix completion constantly receives tremendous attention from many research fields. It is commonly applied for recommender systems such as movie ratings, computer vision such as image reconstruction or completion, multi-task learning such…

Machine Learning · Computer Science 2019-10-08 Abdallah Chehade , Zunya Shi

The matrix element method is widely considered the ultimate LHC inference tool for small event numbers. We show how a combination of two conditional generative neural networks encodes the QCD radiation and detector effects without any…

High Energy Physics - Phenomenology · Physics 2023-09-13 Anja Butter , Theo Heimel , Till Martini , Sascha Peitzsch , Tilman Plehn

We consider the problem of learning a low-rank matrix, constrained to lie in a linear subspace, and introduce a novel factorization for modeling such matrices. A salient feature of the proposed factorization scheme is it decouples the…

Machine Learning · Statistics 2018-06-18 Pratik Jawanpuria , Bamdev Mishra

Matrix low rank approximation including the classical PCA and the robust PCA (RPCA) method have been applied to solve the background modeling problem in video analysis. Recently, it has been demonstrated that a special weighted low rank…

Optimization and Control · Mathematics 2017-03-21 Aritra Dutta , Xin Li

Low rank model arises from a wide range of applications, including machine learning, signal processing, computer algebra, computer vision, and imaging science. Low rank matrix recovery is about reconstructing a low rank matrix from…

Numerical Analysis · Mathematics 2018-09-12 Jian-Feng Cai , Ke Wei

We develop two iterative algorithms for solving the low rank phase retrieval (LRPR) problem. LRPR refers to recovering a low-rank matrix $\X$ from magnitude-only (phaseless) measurements of random linear projections of its columns. Both…

Information Theory · Computer Science 2017-08-02 Namrata Vaswani , Seyedehsara Nayer , Yonina C. Eldar

The task of reconstructing a low rank matrix from incomplete linear measurements arises in areas such as machine learning, quantum state tomography and in the phase retrieval problem. In this note, we study the particular setup that the…

Information Theory · Computer Science 2016-12-12 Holger Rauhut , Ulrich Terstiege

We consider an extension of the setting of label ranking, in which the learner is allowed to make predictions in the form of partial instead of total orders. Predictions of that kind are interpreted as a partial abstention: If the learner…

Artificial Intelligence · Computer Science 2011-12-05 Weiwei Cheng , Eyke Hüllermeier

Search for new physics events at the LHC mostly rely on the assumption that the events are characterized in terms of standard-reconstructed objects such as isolated photons, leptons, and jets initiated by QCD-partons. While such strategy…

High Energy Physics - Phenomenology · Physics 2018-06-12 Amit Chakraborty , Abhishek M. Iyer , Tuhin S. Roy