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Dimensionality reduction is a main step in the learning process which plays an essential role in many applications. The most popular methods in this field like SVD, PCA, and LDA, only can be applied to data with vector format. This means…

Machine Learning · Computer Science 2019-03-01 Soheil Ahmadi , Mansoor Rezghi

Principal Component Analysis (PCA) is a classical method for reducing the dimensionality of data by projecting them onto a subspace that captures most of their variation. Effective use of PCA in modern applications requires understanding…

Statistics Theory · Mathematics 2019-06-14 David Hong , Laura Balzano , Jeffrey A. Fessler

Face inpainting is important in various applications, such as photo restoration, image editing, and virtual reality. Despite the significant advances in face generative models, ensuring that a person's unique facial identity is maintained…

Computer Vision and Pattern Recognition · Computer Science 2023-12-07 Jianjin Xu , Saman Motamed , Praneetha Vaddamanu , Chen Henry Wu , Christian Haene , Jean-Charles Bazin , Fernando de la Torre

Recognition of document images have important applications in restoring old and classical texts. The problem involves quality improvement before passing it to a properly trained OCR to get accurate recognition of the text. The image…

Computer Vision and Pattern Recognition · Computer Science 2017-02-01 Ram Krishna Pandey , A G Ramakrishnan

Multimodal large language models (MLLMs) that think with images can interactively use tools to reason about visual inputs, but current approaches often rely on a narrow set of tools with limited real-world necessity and scalability. In this…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Zirun Guo , Minjie Hong , Feng Zhang , Kai Jia , Tao Jin

It is demonstrated that non-constant kernel solution, that can fit the spatial variations of the kernel can be obtained with minimum computing time. The CPU cost required with this new extension of the image subtraction method is almost the…

Astrophysics · Physics 2007-05-23 C. Alard

Canonical Correlation Analysis (CCA) is a multivariate technique that takes two datasets and forms the most highly correlated possible pairs of linear combinations between them. Each subsequent pair of linear combinations is orthogonal to…

Methodology · Statistics 2015-12-22 Jacob Coleman , Joseph Replogle , Gabriel Chandler , Johanna Hardin

Word embeddings have become the basic building blocks for several natural language processing and information retrieval tasks. Pre-trained word embeddings are used in several downstream applications as well as for constructing…

Computation and Language · Computer Science 2017-11-22 Vikas Raunak

Data analysis often requires methods that are invariant with respect to specific transformations, such as rotations in case of images or shifts in case of images and time series. While principal component analysis (PCA) is a widely-used…

Machine Learning · Statistics 2024-01-30 Florian Heinrichs

Object recognition systems are usually trained and evaluated on high resolution images. However, in real world applications, it is common that the images have low resolutions or have small sizes. In this study, we first track the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-15 Amir Ghasemi , Nasrin Bayat , Fatemeh Mottaghian , Akram Bayat

This work evaluates six state-of-the-art deep neural network (DNN) architectures applied to the problem of enhancing camera-captured document images. The results from each network were evaluated both qualitatively and quantitatively using…

Computer Vision and Pattern Recognition · Computer Science 2021-06-30 Lucas N. Kirsten , Ricardo Piccoli , Ricardo Ribani

3D Gaussian Splatting has recently emerged as an efficient solution for high-quality and real-time novel view synthesis. However, its capability for accurate surface reconstruction remains underexplored. Due to the discrete and unstructured…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Qing Li , Huifang Feng , Xun Gong , Yu-Shen Liu

Various and different methods can be used to produce high-resolution multispectral images from high-resolution panchromatic image (PAN) and low-resolution multispectral images (MS), mostly on the pixel level. However, the jury is still out…

Computer Vision and Pattern Recognition · Computer Science 2011-10-25 Firouz Abdullah Al-Wassai , N. V. Kalyankar , Ali A. Al-Zaky

Recent advances in citation recommendation have improved accuracy by leveraging multi-view representation learning to integrate the various modalities present in scholarly documents. However, effectively combining multiple data views…

Information Retrieval · Computer Science 2025-07-24 Conor McNamara , Effirul Ramlan

Remote sensing research focusing on feature selection has long attracted the attention of the remote sensing community because feature selection is a prerequisite for image processing and various applications. Different feature selection…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-13 Nhien-An Le-Khac , M-Tahar Kechadi , Bo Wu , C. Chen

In the domain of scientific imaging, interpreting visual data often demands an intricate combination of human expertise and deep comprehension of the subject materials. This study presents a novel methodology to linguistically emulate and…

Machine Learning · Computer Science 2023-09-27 Abdulelah S. Alshehri , Franklin L. Lee , Shihu Wang

Unlabeled data is often used to learn representations which can be used to supplement baseline features in a supervised learner. For example, for text applications where the words lie in a very high dimensional space (the size of the…

Computation and Language · Computer Science 2012-07-03 Paramveer Dhillon , Jordan Rodu , Dean Foster , Lyle Ungar

Principal component analysis (PCA) is a classical method for dimensionality reduction based on extracting the dominant eigenvectors of the sample covariance matrix. However, PCA is well known to behave poorly in the ``large $p$, small $n$''…

Statistics Theory · Mathematics 2009-08-26 Arash A. Amini , Martin J. Wainwright

One of the central issues of several machine learning applications on real data is the choice of the input features. Ideally, the designer should select only the relevant, non-redundant features to preserve the complete information…

Machine Learning · Computer Science 2023-03-28 Paolo Bonetti , Alberto Maria Metelli , Marcello Restelli

In this paper, the problem of multi-view embedding from different visual cues and modalities is considered. We propose a unified solution for subspace learning methods using the Rayleigh quotient, which is extensible for multiple views,…

Computer Vision and Pattern Recognition · Computer Science 2017-09-01 Guanqun Cao , Alexandros Iosifidis , Ke Chen , Moncef Gabbouj