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Multi-dimensional scaling (MDS) plays a central role in data-exploration, dimensionality reduction and visualization. State-of-the-art MDS algorithms are not robust to outliers, yielding significant errors in the embedding even when only a…

计算机视觉与模式识别 · 计算机科学 2018-02-08 Leonid Blouvshtein , Daniel Cohen-Or

Outliers arise in networks due to different reasons such as fraudulent behavior of malicious users or default in measurement instruments and can significantly impair network analyses. In addition, real-life networks are likely to be…

机器学习 · 统计学 2020-12-02 Solenne Gaucher , Olga Klopp , Geneviève Robin

Comparing learned neural representations in neural networks is a challenging but important problem, which has been approached in different ways. The Centered Kernel Alignment (CKA) similarity metric, particularly its linear variant, has…

机器学习 · 计算机科学 2022-11-17 MohammadReza Davari , Stefan Horoi , Amine Natik , Guillaume Lajoie , Guy Wolf , Eugene Belilovsky

The task of outlier detection is to find small groups of data objects that are exceptional when compared with rest large amount of data. Detection of such outliers is important for many applications such as fraud detection and customer…

数据库 · 计算机科学 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng

Anomalies in economic and financial data -- often linked to rare yet impactful events -- are of theoretical interest, but can also severely distort inference. Although outlier-robust methodologies can be used, many researchers prefer…

统计方法学 · 统计学 2025-09-01 Monica Billio , Roberto Casarin , Fausto Corradin , Antonio Peruzzi

Factor modeling is a powerful statistical technique that permits to capture the common dynamics in a large panel of data with a few latent variables, or factors, thus alleviating the curse of dimensionality. Despite its popularity and…

计量经济学 · 经济学 2021-03-03 Varlam Kutateladze

Mapping gene expression as a quantitative trait using whole genome-sequencing and transcriptome analysis allows to discover the functional consequences of genetic variation. We developed a novel method and ultra-fast software Findr for…

基因组学 · 定量生物学 2017-08-23 Lingfei Wang , Tom Michoel

Functional linear regression is a widely used approach to model functional responses with respect to functional inputs. However, classical functional linear regression models can be severely affected by outliers. We therefore introduce a…

统计方法学 · 统计学 2019-09-02 Harjit Hullait , David S. Leslie , Nicos G. Pavlidis , Steve King

There exist multiple methods to detect outliers in multivariate data in the literature, but most of them require to estimate the covariance matrix. The higher the dimension, the more complex the estimation of the matrix becoming impossible…

统计方法学 · 统计学 2020-12-01 P. Navarro-Esteban , J. A. Cuesta-Albertos

Canonical Correlation Analysis (CCA) is a classic technique for multi-view data analysis. To overcome the deficiency of linear correlation in practical multi-view learning tasks, various CCA variants were proposed to capture nonlinear…

机器学习 · 计算机科学 2019-07-05 Yaxin Shi , Yuangang Pan , Donna Xu , Ivor Tsang

We consider the problem of principal component analysis (PCA) in the presence of outliers. Given a matrix $A$ ($d \times n$) and parameters $k, m$, the goal is to remove a set of at most $m$ columns of $A$ (known as outliers), so as to…

数据结构与算法 · 计算机科学 2018-05-14 Aditya Bhaskara , Srivatsan Kumar

Outlier detection algorithms typically assign an outlier score to each observation in a dataset, indicating the degree to which an observation is an outlier. However, these scores are often not comparable across algorithms and can be…

Attitude is one of the crucial parameters for space objects and plays a vital role in collision prediction and debris removal. Analyzing light curves to determine attitude is the most commonly used method. In photometric observations,…

天体物理仪器与方法 · 物理学 2024-04-03 Hui Li , Rong-Wang Li , Peng Shu , Yu-Qiang Li

Mutual fund categorization has become a standard tool for the investment management industry and is extensively used by allocators for portfolio construction and manager selection, as well as by fund managers for peer analysis and…

统计金融 · 定量金融 2023-08-15 Dhruv Desai , Ashmita Dhiman , Tushar Sharma , Deepika Sharma , Dhagash Mehta , Stefano Pasquali

Inference is the task of drawing conclusions about unobserved variables given observations of related variables. Applications range from identifying diseases from symptoms to classifying economic regimes from price movements. Unfortunately,…

Distributional data analysis, concerned with statistical analysis and modeling for data objects consisting of random probability density functions (PDFs) in the framework of functional data analysis (FDA), has received considerable interest…

统计方法学 · 统计学 2021-10-05 Xinyi Lei , Zhicheng Chen , Hui Li

To understand the biology of cancer, joint analysis of multiple data modalities, including imaging and genomics, is crucial. The involved nature of gene-microenvironment interactions necessitates the use of algorithms which treat both data…

信号处理 · 电气工程与系统科学 2018-02-27 Vaishnavi Subramanian , Benjamin Chidester , Jian Ma , Minh N. Do

In classical canonical correlation analysis (CCA), the goal is to determine the linear transformations of two random vectors into two new random variables that are most strongly correlated. Canonical variables are pairs of these new random…

统计方法学 · 统计学 2025-10-24 Tomasz Górecki , Mirosław Krzyśko , Felix Gnettner , Piotr Kokoszka

In recent years, a comprehensive study of multi-view datasets (e.g., multi-omics and imaging scans) has been a focus and forefront in biomedical research. State-of-the-art biomedical technologies are enabling us to collect multi-view…

机器学习 · 统计学 2020-04-30 Md Ashad Alam , Chuan Qiu , Hui Shen , Yu-Ping Wang , Hong-Wen Deng

Outliers widely occur in big-data applications and may severely affect statistical estimation and inference. In this paper, a framework of outlier-resistant estimation is introduced to robustify an arbitrarily given loss function. It has a…

统计方法学 · 统计学 2023-04-20 Yiyuan She , Zhifeng Wang , Jiahui Shen
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