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A system with many degrees of freedom can be characterized by a covariance matrix; principal components analysis (PCA) focuses on the eigenvalues of this matrix, hoping to find a lower dimensional description. But when the spectrum is…

生物物理 · 物理学 2017-04-26 Serena Bradde , William Bialek

We consider a data analyst's problem of purchasing data from strategic agents to compute an unbiased estimate of a statistic of interest. Agents incur private costs to reveal their data and the costs can be arbitrarily correlated with their…

计算机科学与博弈论 · 计算机科学 2018-09-06 Yiling Chen , Nicole Immorlica , Brendan Lucier , Vasilis Syrgkanis , Juba Ziani

Probabilistic principal component analysis (PPCA) seeks a low dimensional representation of a data set in the presence of independent spherical Gaussian noise, Sigma = (sigma^2)*I. The maximum likelihood solution for the model is an…

机器学习 · 统计学 2011-06-23 Alfredo A. Kalaitzis , Neil D. Lawrence

Principal component analysis (PCA) is a widely used method for data processing, such as for dimension reduction and visualization. Standard PCA is known to be sensitive to outliers, and thus, various robust PCA methods have been proposed.…

机器学习 · 统计学 2020-08-11 Keishi Sando , Hideitsu Hino

Due to the rapid growth of smart agents such as weakly connected computational nodes and sensors, developing decentralized algorithms that can perform computations on local agents becomes a major research direction. This paper considers the…

机器学习 · 计算机科学 2021-02-09 Haishan Ye , Tong Zhang

Information flow analysis is a powerful technique for reasoning about the sensitive information exposed by a program during its execution. While past work has proposed information theoretic metrics (e.g., Shannon entropy, min-entropy,…

密码学与安全 · 计算机科学 2010-09-22 Ji Zhu , Mudhakar Srivatsa

This paper is part of an ongoing investigation of "pragmatic information", defined in Weinberger (2002) as "the amount of information actually used in making a decision". Because a study of information rates led to the Noiseless and Noisy…

信息论 · 计算机科学 2026-03-03 Edward D. Weinberger

We study the problem of corrupted sensing, a generalization of compressed sensing in which one aims to recover a signal from a collection of corrupted or unreliable measurements. While an arbitrary signal cannot be recovered in the face of…

信息论 · 计算机科学 2014-02-05 Rina Foygel , Lester Mackey

We study the long-standing problem of determining the number of principal components in econometric applications from a selective inference perspective. We consider i.i.d. observations from a $p$-dimensional random vector with $p<n$ and…

计量经济学 · 经济学 2025-12-12 Yasuyuki Matsumura , Chisato Tachibana

The clandestine nature of covert networks makes reliable data difficult to obtain and leads to concerns with missing data. We explore the use of network models to represent missingness mechanisms. Exponential random graph models provide a…

统计方法学 · 统计学 2025-01-28 Jonathan Januar , H Colin Gallagher , Johan Koskinen

This survey paper presents a comprehensive analysis of crime prediction methodologies, exploring the various techniques and technologies utilized in this area. The paper covers the statistical methods, machine learning algorithms, and deep…

机器学习 · 计算机科学 2024-03-05 Kamal Taha

Principal components analysis (PCA) is a well-known technique for approximating a tabular data set by a low rank matrix. Here, we extend the idea of PCA to handle arbitrary data sets consisting of numerical, Boolean, categorical, ordinal,…

机器学习 · 统计学 2015-05-06 Madeleine Udell , Corinne Horn , Reza Zadeh , Stephen Boyd

A data table which is arranged according to two factors can often be considered as a compositional table. An example is the number of unemployed people, split according to gender and age classes. Analyzed as compositions, the relevant…

统计方法学 · 统计学 2019-04-12 Julie Rendlová , Karel Hron , Kamila Fačevicová , Peter Filzmoser

Criminals are using every means available to launder the profits from their illegal activities into ostensibly legitimate assets. Meanwhile, most commercial anti-money laundering systems are still rule-based, which cannot adapt to the…

社会与信息网络 · 计算机科学 2025-01-17 Xurui Li , Xiang Cao , Xuetao Qiu , Jintao Zhao , Jianbin Zheng

This paper investigates the intrinsic group structures within the framework of large-dimensional approximate factor models, which portrays homogeneous effects of the common factors on the individuals that fall into the same group. To this…

统计方法学 · 统计学 2025-03-18 Yong He , Dong Liu , Guangming Pan , Yiming Wang

We propose Robust Lasso-Zero, an extension of the Lasso-Zero methodology, initially introduced for sparse linear models, to the sparse corruptions problem. We give theoretical guarantees on the sign recovery of the parameters for a slightly…

应用统计 · 统计学 2022-03-24 Pascaline Descloux , Claire Boyer , Julie Josse , Aude Sportisse , Sylvain Sardy

Imputation of missing values is a strategy for handling non-responses in surveys or data loss in measurement processes, which may be more effective than ignoring them. When the variable represents a count, the literature dealing with this…

应用统计 · 统计学 2020-07-31 Gilma Hernández-Herrera , Albert Navarro , David Moriña

Classical Principal Component Analysis (PCA) approximates data in terms of projections on a small number of orthogonal vectors. There are simple procedures to efficiently compute various functions of the data from the PCA approximation. The…

机器学习 · 统计学 2019-07-26 Guihong Wan , Crystal Maung , Haim Schweitzer

Data collected in criminal investigations may suffer from: (i) incompleteness, due to the covert nature of criminal organisations; (ii) incorrectness, caused by either unintentional data collection errors and intentional deception by…

In many scientific disciplines, the features of interest cannot be observed directly, so must instead be inferred from observed behaviour. Latent variable analyses are increasingly employed to systematise these inferences, and Principal…