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We develop a new robust geographically weighted regression method in the presence of outliers. We embed the standard geographically weighted regression in robust objective function based on $\gamma$-divergence. A novel feature of the…

Methodology · Statistics 2021-10-15 Shonosuke Sugasawa , Daisuke Murakami

Robust regression models in the presence of outliers have significant practical relevance in areas such as signal processing, financial econometrics, and energy management. Many existing robust regression methods, either grounded in…

Signal Processing · Electrical Eng. & Systems 2025-06-30 Pengyang Song , Jue Wang

A key recent advance in face recognition models a test face image as a sparse linear combination of a set of training face images. The resulting sparse representations have been shown to possess robustness against a variety of distortions…

Computer Vision and Pattern Recognition · Computer Science 2011-11-09 Yi Chen , Umamahesh Srinivas , Thong T. Do , Vishal Monga , Trac D. Tran

Robust principal component analysis (RPCA) is a critical tool in modern machine learning, which detects outliers in the task of low-rank matrix reconstruction. In this paper, we propose a scalable and learnable non-convex approach for…

Machine Learning · Computer Science 2023-02-28 HanQin Cai , Jialin Liu , Wotao Yin

Unsupervised representation learning has been extensively employed in anomaly detection, achieving impressive performance. Extracting valuable feature vectors that can remarkably improve the performance of anomaly detection are essential in…

Machine Learning · Computer Science 2022-04-26 Muhao Xu , Xueying Zhou , Xizhan Gao , WeiKai He , Sijie Niu

Despite achieving state-of-the-art performance, deep learning methods generally require a large amount of labeled data during training and may suffer from overfitting when the sample size is small. To ensure good generalizability of deep…

Computer Vision and Pattern Recognition · Computer Science 2020-06-30 Xiaoxu Li , Liyun Yu , Xiaochen Yang , Zhanyu Ma , Jing-Hao Xue , Jie Cao , Jun Guo

This paper introduces a new type of regression methodology named as Convex-Area-Wise Linear Regression(CALR), which separates given datasets by disjoint convex areas and fits different linear regression models for different areas. This…

Databases · Computer Science 2024-06-11 Bohan Lyu , Jianzhong Li

A common explanation for the failure of deep networks to generalize out-of-distribution is that they fail to recover the "correct" features. We challenge this notion with a simple experiment which suggests that ERM already learns sufficient…

Machine Learning · Computer Science 2022-10-31 Elan Rosenfeld , Pradeep Ravikumar , Andrej Risteski

Label noise and class imbalance commonly coexist in real-world data. Previous works for robust learning, however, usually address either one type of the data biases and underperform when facing them both. To mitigate this gap, this work…

Machine Learning · Computer Science 2023-09-06 Shenwang Jiang , Jianan Li , Jizhou Zhang , Ying Wang , Tingfa Xu

Latest least squares regression (LSR) methods mainly try to learn slack regression targets to replace strict zero-one labels. However, the difference of intra-class targets can also be highlighted when enlarging the distance between…

Computer Vision and Pattern Recognition · Computer Science 2019-10-09 Zhe Chen , Xiao-Jun Wu , Josef Kittler

In this paper, we propose a robust representation learning model called Adaptive Structure-constrained Low-Rank Coding (AS-LRC) for the latent representation of data. To recover the underlying subspaces more accurately, AS-LRC seamlessly…

Computer Vision and Pattern Recognition · Computer Science 2019-08-23 Zhao Zhang , Lei Wang , Sheng Li , Yang Wang , Zheng Zhang , Zhengjun Zha , Meng Wang

Deep neural networks (DNNs) experience significant performance degradation when processing noisy labels, primarily due to overfitting on mislabeled data. Current mainstream approaches attempt to mitigate this issue by passively filtering…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Ningkang Peng , Jingyang Mao , Xiaoqian Peng , Peirong Ma , Xichen Yang , Weiguang Qu , Yanhui Gu

We study the fundamental problem of ReLU regression, where the goal is to fit Rectified Linear Units (ReLUs) to data. This supervised learning task is efficiently solvable in the realizable setting, but is known to be computationally hard…

Machine Learning · Computer Science 2022-01-27 Ilias Diakonikolas , Jongho Park , Christos Tzamos

In this paper we explore different regression models based on Clusterwise Linear Regression (CLR). CLR aims to find the partition of the data into $k$ clusters, such that linear regressions fitted to each of the clusters minimize overall…

Machine Learning · Computer Science 2018-05-01 Igor Gitman , Jieshi Chen , Eric Lei , Artur Dubrawski

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…

Robotics · Computer Science 2019-08-26 Francesco Cursi , Guang-Zhong Yang

Large occlusions result in a significant decline in image classification accuracy. During inference, diverse types of unseen occlusions introduce out-of-distribution data to the classification model, leading to accuracy dropping as low as…

Computer Vision and Pattern Recognition · Computer Science 2024-02-13 Ketan Kotwal , Tanay Deshmukh , Preeti Gopal

In recent years, the learned local descriptors have outperformed handcrafted ones by a large margin, due to the powerful deep convolutional neural network architectures such as L2-Net [1] and triplet based metric learning [2]. However,…

Computer Vision and Pattern Recognition · Computer Science 2019-01-29 Yanwu Xu , Mingming Gong , Tongliang Liu , Kayhan Batmanghelich , Chaohui Wang

Knowledge graph reasoning (KGR) infers missing facts, with recent advances increasingly harnessing the semantic priors and reasoning abilities of Large Language Models (LLMs). However, prevailing generative paradigms are prone to memorizing…

Computation and Language · Computer Science 2026-02-26 Bo Xue , Yuan Jin , Luoyi Fu , Jiaxin Ding , Xinbing Wang

The model of low-dimensional manifold and sparse representation are two well-known concise models that suggest each data can be described by a few characteristics. Manifold learning is usually investigated for dimension reduction by…

Computer Vision and Pattern Recognition · Computer Science 2016-03-22 Xi Peng , Lei Zhang , Zhang Yi , Kok Kiong Tan

Modern deep architectures often rely on large-scale datasets, but training on these datasets incurs high computational and storage overhead. Real-world datasets often contain substantial redundancies, prompting the need for more…

Machine Learning · Computer Science 2025-06-27 Suorong Yang , Peijia Li , Furao Shen , Jian Zhao