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The biological brain has inspired multiple advances in machine learning. However, most state-of-the-art models in computer vision do not operate like the human brain, simply because they are not capable of changing or improving their…

计算机视觉与模式识别 · 计算机科学 2024-12-23 David Calhas , João Marques , Arlindo L. Oliveira

Principal Component Analysis (PCA) is the most widely used tool for linear dimensionality reduction and clustering. Still it is highly sensitive to outliers and does not scale well with respect to the number of data samples. Robust PCA…

计算机视觉与模式识别 · 计算机科学 2015-04-24 Nauman Shahid , Vassilis Kalofolias , Xavier Bresson , Michael Bronstein , Pierre Vandergheynst

There is a gap between the theoretical foundations of disentanglement and the practice of modern representation learning. Existing theoretical frameworks, particularly Independent Component Analysis (ICA) and its nonlinear variants, assume…

机器学习 · 计算机科学 2026-05-22 Edmond Cunningham

Mechanisms of human color vision are characterized by two phenomenological aspects: the system is nonlinear and adaptive to changing environments. Conventional attempts to derive these features from statistics use separate arguments for…

机器学习 · 统计学 2016-02-02 Valero Laparra , Sandra Jiménez , Gustavo Camps-Valls , Jesús Malo

Independent Component Analysis (ICA) recently has attracted attention in the statistical literature as an alternative to elliptical models. Whereas k-dimensional elliptical densities depend on one single unspecified radial density, however,…

统计方法学 · 统计学 2013-12-17 Marc Hallin , Chintan Mehta

Afshani, Barbay and Chan (2017) introduced the notion of instance-optimal algorithm in the order-oblivious setting. An algorithm A is instance-optimal in the order-oblivious setting for a certain class of algorithms A* if the following…

计算几何 · 计算机科学 2023-07-28 Jean Cardinal , Justin Dallant , John Iacono

Deep neural networks often fail to adapt representations to novel tasks under distribution shifts, especially when only a few examples are available. This paper identifies a core obstacle behind this failure: channel bias, where networks…

计算机视觉与模式识别 · 计算机科学 2025-09-11 Ji Zhang , Xu Luo , Lianli Gao , Difan Zou , Hengtao Shen , Jingkuan Song

Exposure correction methods aim to adjust the luminance while maintaining other luminance-unrelated information. However, current exposure correction methods have difficulty in fully separating luminance-related and luminance-unrelated…

计算机视觉与模式识别 · 计算机科学 2024-11-26 Jingchao Peng , Thomas Bashford-Rogers , Jingkun Chen , Haitao Zhao , Zhengwei Hu , Kurt Debattista

This work introduces a novel principle we call disentanglement via mechanism sparsity regularization, which can be applied when the latent factors of interest depend sparsely on past latent factors and/or observed auxiliary variables. We…

Principal component analysis (PCA) is widely used for feature extraction and dimensionality reduction, with documented merits in diverse tasks involving high-dimensional data. Standard PCA copes with one dataset at a time, but it is…

机器学习 · 计算机科学 2019-01-30 Jia Chen , Gang Wang , Georgios B. Giannakis

Sparse Principal Component Analysis (sPCA) is a cardinal technique for obtaining combinations of features, or principal components (PCs), that explain the variance of high-dimensional datasets in an interpretable manner. This involves…

最优化与控制 · 数学 2025-12-02 Ryan Cory-Wright , Jean Pauphilet

Independent component analysis (ICA), as an approach to the blind source-separation (BSS) problem, has become the de-facto standard in many medical imaging settings. Despite successes and a large ongoing research effort, the limitation of…

机器学习 · 计算机科学 2016-03-23 R. Devon Hjelm , Sergey M. Plis , Vince C. Calhoun

In this position paper, we consider the state of computer vision research with respect to invariance to the horizontal orientation of an image -- what we term reflection invariance. We describe why we consider reflection invariance to be an…

计算机视觉与模式识别 · 计算机科学 2015-06-09 Craig Henderson , Ebroul Izquierdo

Image quality plays a big role in CNN-based image classification performance. Fine-tuning the network with distorted samples may be too costly for large networks. To solve this issue, we propose a transfer learning approach optimized to…

计算机视觉与模式识别 · 计算机科学 2019-06-04 Alessandro Bianchi , Moreno Raimondo Vendra , Pavlos Protopapas , Marco Brambilla

Principal Component Analysis (PCA) is a powerful and popular dimensionality reduction technique. However, due to its linear nature, it often fails to capture the complex underlying structure of real-world data. While Kernel PCA (kPCA)…

机器学习 · 计算机科学 2026-02-05 Thomas Uriot , Elise Chung

Capturing patterns of variation present in a dataset is important in exploratory data analysis and unsupervised learning. Contrastive dimension reduction methods, such as contrastive principal component analysis (cPCA), find patterns unique…

机器学习 · 计算机科学 2021-04-19 Robin Tu , Alexander H. Foss , Sihai D. Zhao

Independent component analysis (ICA) studies mixtures of independent latent sources. An ICA model is identifiable if the mixing can be recovered uniquely. It is well-known that ICA is identifiable if and only if at most one source is…

统计理论 · 数学 2024-01-29 Kexin Wang , Anna Seigal

Standard resampling ratios (e.g., $\alpha \approx 0.632$) are widely used as default baselines in ensemble learning for three decades. However, how these ratios interact with a base learner's intrinsic functional complexity in finite…

机器学习 · 计算机科学 2026-04-14 Ye Su , Mingrui Ye , Yining Wang , Jipeng Guo , Yong Liu

This work includes all the technical details of the Sequential Principal Curves Analysis (SPCA) in a single document. SPCA is an unsupervised nonlinear and invertible feature extraction technique. The identified curvilinear features can be…

机器学习 · 统计学 2016-06-06 Valero Laparra , Jesus Malo

The persistent storage of big data requires advanced error correction schemes. The classical approach is to use error correcting codes (ECCs). This work studies an alternative approach, which uses the redundancy inherent in data itself for…

信息论 · 计算机科学 2019-10-17 Pulakesh Upadhyaya , Anxiao Jiang