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Real data often contain anomalous cases, also known as outliers. These may spoil the resulting analysis but they may also contain valuable information. In either case, the ability to detect such anomalies is essential. A useful tool for…

机器学习 · 统计学 2021-01-13 Peter J. Rousseeuw , Mia Hubert

Robustness to natural distribution shifts has seen remarkable progress thanks to recent pre-training strategies combined with better fine-tuning methods. However, such fine-tuning assumes access to large amounts of labelled data, and the…

计算机视觉与模式识别 · 计算机科学 2023-09-26 Aaditya Singh , Kartik Sarangmath , Prithvijit Chattopadhyay , Judy Hoffman

Although machine learning models typically experience a drop in performance on out-of-distribution data, accuracies on in- versus out-of-distribution data are widely observed to follow a single linear trend when evaluated across a testbed…

机器学习 · 计算机科学 2021-07-01 Anders Andreassen , Yasaman Bahri , Behnam Neyshabur , Rebecca Roelofs

Empirical likelihood serves as a powerful tool for constructing confidence intervals in nonparametric regression and regression discontinuity designs (RDD). The original empirical likelihood framework can be naturally extended to these…

统计理论 · 数学 2025-04-03 Qin Fang , Shaojun Guo , Yang Hong , Xinghao Qiao

In today's era of big data, robust least-squares regression becomes a more challenging problem when considering the adversarial corruption along with explosive growth of datasets. Traditional robust methods can handle the noise but suffer…

数据结构与算法 · 计算机科学 2017-10-04 Xuchao Zhang , Liang Zhao , Arnold P. Boedihardjo , Chang-Tien Lu

We adopt the statistical framework on robustness proposed by Watson and Holmes in 2016 and then tackle the practical challenges that hinder its applicability to network models. The goal is to evaluate how the quality of an inference for a…

统计方法学 · 统计学 2020-12-08 Marios Papamichalis , Simon Lunagomez , Patrick J. Wolfe

We present a robust framework to perform linear regression with missing entries in the features. By considering an elliptical data distribution, and specifically a multivariate normal model, we are able to conditionally formulate a…

机器学习 · 计算机科学 2022-11-10 Alireza Aghasi , MohammadJavad Feizollahi , Saeed Ghadimi

The study of network robustness is a critical tool in the characterization and sense making of complex interconnected systems such as infrastructure, communication and social networks. While significant research has been conducted in all of…

社会与信息网络 · 计算机科学 2022-03-31 Scott Freitas , Diyi Yang , Srijan Kumar , Hanghang Tong , Duen Horng Chau

We propose a robust elastic net (REN) model for high-dimensional sparse regression and give its performance guarantees (both the statistical error bound and the optimization bound). A simple idea of trimming the inner product is applied to…

机器学习 · 计算机科学 2016-05-03 Weiyang Liu , Rongmei Lin , Meng Yang

Cellwise outliers are likely to occur together with casewise outliers in modern data sets with relatively large dimension. Recent work has shown that traditional robust regression methods may fail for data sets in this paradigm. The…

统计理论 · 数学 2016-12-28 Andy Leung , Hongyang Zhang , Ruben H. Zamar

Methods for cluster-robust inference are routinely used in economics and many other disciplines. However, it is only recently that theoretical foundations for the use of these methods in many empirically relevant situations have been…

计量经济学 · 经济学 2022-05-09 James G. MacKinnon , Morten Ørregaard Nielsen , Matthew D. Webb

The last decade has seen a number of advances in computationally efficient algorithms for statistical methods subject to robustness constraints. An estimator may be robust in a number of different ways: to contamination of the dataset, to…

机器学习 · 统计学 2025-09-08 Gautam Kamath

Convolutional and Recurrent, deep neural networks have been successful in machine learning systems for computer vision, reinforcement learning, and other allied fields. However, the robustness of such neural networks is seldom apprised,…

神经与进化计算 · 计算机科学 2018-05-01 Biswa Sengupta , Karl J. Friston

Robustness of linear systems with constant coefficients is considered. There exist methods and tools for analyzing the stability of systems with random or deterministic uncertainties. At the same time, there are no approaches for the…

最优化与控制 · 数学 2020-12-08 Andrey Tremba

Data analysis based on information from several sources is common in economic and biomedical studies. This setting is often referred to as the data fusion problem, which differs from traditional missing data problems since no complete data…

统计方法学 · 统计学 2022-04-07 Wei Li , Shanshan Luo , Wangli Xu

Robust estimation is much more challenging in high dimensions than it is in one dimension: Most techniques either lead to intractable optimization problems or estimators that can tolerate only a tiny fraction of errors. Recent work in…

机器学习 · 计算机科学 2018-03-14 Ilias Diakonikolas , Gautam Kamath , Daniel M. Kane , Jerry Li , Ankur Moitra , Alistair Stewart

The accuracies for many pattern recognition tasks have increased rapidly year by year, achieving or even outperforming human performance. From the perspective of accuracy, pattern recognition seems to be a nearly-solved problem. However,…

计算机视觉与模式识别 · 计算机科学 2020-06-15 Xu-Yao Zhang , Cheng-Lin Liu , Ching Y. Suen

Concerning bivariate least squares linear regression, the classical results obtained for extreme structural models in earlier attempts are reviewed using a new formalism in terms of deviation (matrix) traces which, for homoscedastic data,…

天体物理仪器与方法 · 物理学 2017-11-17 R. Caimmi

Machine learning and data analysis have been used in many robotics fields, especially for modelling. Data are usually the result of sensor measurements and, as such, they might be subjected to noise and outliers. The presence of outliers…

机器人学 · 计算机科学 2019-08-26 Francesco Cursi , Guang-Zhong Yang

Regression has attracted immense interest lately due to its effectiveness in tasks like predicting values. And Regression is of widespread use in multiple fields such as Economics, Finance, Business, Biology and so on. While considerable…

机器学习 · 计算机科学 2021-04-27 Yunpeng Tai