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Recently, Chernozhukov, Chetverikov, and Kato [Ann. Statist. 42 (2014) 1564--1597] developed a new Gaussian comparison inequality for approximating the suprema of empirical processes. This paper exploits this technique to devise sharp…

统计理论 · 数学 2017-05-30 Fang Han , Sheng Xu , Wen-Xin Zhou

In this paper we propose and develop a relatively simple and efficient approach for estimating unknown elements of a user-rating matrix in the context of a recommender system (RS). The critical theoretical property of the method is its…

社会与信息网络 · 计算机科学 2019-06-04 Jeffrey Uhlmann

There is a great need for robust techniques in data mining and machine learning contexts where many standard techniques such as principal component analysis and linear discriminant analysis are inherently susceptible to outliers.…

统计方法学 · 统计学 2015-09-28 Garth Tarr , Samuel Müller , Neville C. Weber

Nyquist criterion-based impedance ratio criteria (IRCs) have been widely applied for inspecting the risk of small-signal instability among converter-based AC power systems. Aided by a comparative study on voltage source converter, including…

系统与控制 · 电气工程与系统科学 2023-06-27 Chongbin Zhao , Qirong Jiang

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

In nonadaptive group testing, the main research objective is to design an efficient algorithm to identify a set of up to $t$ positive elements among $n$ samples with as few tests as possible. Disjunct matrices and separable matrices are two…

组合数学 · 数学 2021-10-15 Bingchen Qian , Xin Wang , Gennian Ge

Models that learn spurious correlations from training data often fail when deployed in new environments. While many methods aim to learn invariant representations to address this, they often underperform standard empirical risk minimization…

机器学习 · 计算机科学 2025-11-11 Ruqi Bai , Yao Ji , Zeyu Zhou , David I. Inouye

When using graphs and graph transformations to model systems, consistency is an important concern. While consistency has primarily been viewed as a binary property, i.e., a graph is consistent or inconsistent with respect to a set of…

软件工程 · 计算机科学 2026-03-11 Lars Fritsche , Alexander Lauer , Maximilian Kratz , Andy Schürr , Gabriele Taentzer

We aim to create the highest possible quality of treatment-control matches for categorical data in the potential outcomes framework. Matching methods are heavily used in the social sciences due to their interpretability, but most matching…

机器学习 · 统计学 2019-06-11 Yameng Liu , Aw Dieng , Sudeepa Roy , Cynthia Rudin , Alexander Volfovsky

Ill-posed linear inverse problems appear frequently in various signal processing applications. It can be very useful to have theoretical characterizations that quantify the level of ill-posedness for a given inverse problem and the degree…

信号处理 · 电气工程与系统科学 2023-04-26 Justin P. Haldar

We consider a simple model of imprecise comparisons: there exists some $\delta>0$ such that when a subject is given two elements to compare, if the values of those elements (as perceived by the subject) differ by at least $\delta$, then the…

数据结构与算法 · 计算机科学 2015-01-14 Miklos Ajtai , Vitaly Feldman , Avinatan Hassidim , Jelani Nelson

Compared with co-prime integers, co-prime integer matrices are more challenging due to the non-commutativity. In this paper, we present a new family of pairwise co-prime integer matrices of any dimension and large size. These matrices are…

信号处理 · 电气工程与系统科学 2025-04-14 Guangpu Guo , Xiang-Gen Xia

Rand (1971) proposed what has since become a well-known index for comparing two partitions obtained on the same set of units. The index takes a value on the interval between 0 and 1, where a higher value indicates more similar partitions.…

统计方法学 · 统计学 2018-05-22 Marjan Cugmas , Anuška Ferligoj

Recently, Brand, Ganian and Simonov introduced a parameterized refinement of the classical PAC-learning sample complexity framework. A crucial outcome of their investigation is that for a very wide range of learning problems, there is a…

数据结构与算法 · 计算机科学 2023-08-23 Robert Ganian , Liana Khazaliya , Kirill Simonov

Most computer vision application rely on algorithms finding local correspondences between different images. These algorithms detect and compare stable local invariant descriptors centered at scale-invariant keypoints. Because of the…

计算机视觉与模式识别 · 计算机科学 2014-09-10 Ives Rey-Otero , Mauricio Delbracio , Jean-Michel Morel

Given a set of incomplete observations, we study the nonparametric problem of testing whether data are Missing Completely At Random (MCAR). Our first contribution is to characterise precisely the set of alternatives that can be…

统计理论 · 数学 2022-05-19 Thomas B Berrett , Richard J Samworth

Repeated measurements are common in many fields, where random variables are observed repeatedly across different subjects. Such data have an underlying hierarchical structure, and it is of interest to learn covariance/correlation at…

统计方法学 · 统计学 2023-06-13 Sunpeng Duan , Guo Yu , Juntao Duan , Yuedong Wang

The use of Association Rule Mining techniques in diverse contexts and domains has resulted in the creation of numerous interestingness measures. This, in turn, has motivated researchers to come up with various classification schemes for…

机器学习 · 计算机科学 2017-12-15 Nandan Sudarsanam , Nishanth Kumar , Abhishek Sharma , Balaraman Ravindran

In this paper, we advocate the use of setwise contests for aggregating a set of input rankings into an output ranking. We propose a generalization of the Kemeny rule where one minimizes the number of k-wise disagreements instead of pairwise…

人工智能 · 计算机科学 2022-02-10 Hugo Gilbert , Tom Portoleau , Olivier Spanjaard

The algorithm for finding the optimal consistent approximation of an inconsistent pairwise comparisons matrix is based on a logarithmic transformation of a pairwise comparisons matrix into a vector space with the Euclidean metric.…

其他计算机科学 · 计算机科学 2015-05-11 W. W. Koczkodaj , M. Orlowski