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Supervised dimensionality reduction has emerged as an important theme in the last decade. Despite the plethora of models and formulations, there is a lack of a simple model which aims to project the set of patterns into a space defined by…

Machine Learning · Statistics 2016-10-28 Anthony O. Smith , Anand Rangarajan

Layer pruning has emerged as a potent approach to remove redundant layers in the pre-trained network on the purpose of reducing network size and improve computational efficiency. However, existing layer pruning methods mostly overlook the…

Machine Learning · Computer Science 2025-11-17 Yuqi Li , Yao Lu , Junhao Dong , Zeyu Dong , Chuanguang Yang , Xin Yin , Yihao Chen , Jianping Gou , Yingli Tian , Tingwen Huang

Kernel alignment measures the degree of similarity between two kernels. In this paper, inspired from kernel alignment, we propose a new Linear Discriminant Analysis (LDA) formulation, kernel alignment LDA (kaLDA). We first define two…

Machine Learning · Computer Science 2016-10-17 Shuai Zheng , Chris Ding

Token representations in high-dimensional latent spaces often exhibit redundancy, limiting computational efficiency and reducing structural coherence across model layers. Hierarchical latent space folding introduces a structured…

Computation and Language · Computer Science 2025-08-11 Fenella Harcourt , Naderdel Piero , Gilbert Sutherland , Daphne Holloway , Harriet Bracknell , Julian Ormsby

Principal component analysis (PCA) is a well-known linear dimension-reduction method that has been widely used in data analysis and modeling. It is an unsupervised learning technique that identifies a suitable linear subspace for the input…

Machine Learning · Statistics 2021-09-10 Shaojie Xu , Joel Vaughan , Jie Chen , Agus Sudjianto , Vijayan Nair

An efficient computational approach for optimal reconstructing parameters of binary-type physical properties for models in biomedical applications is developed and validated. The methodology includes gradient-based multiscale optimization…

Computational Physics · Physics 2020-12-24 Priscilla M. Koolman , Vladislav Bukshtynov

Large language models (LLMs) achieve state-of-the-art results across many natural language tasks, but their internal mechanisms remain difficult to interpret. In this work, we extract, process, and visualize latent state geometries in…

Machine Learning · Computer Science 2026-01-06 Alex Ning , Vainateya Rangaraju , Yen-Ling Kuo

Low-dimensional embeddings for data from disparate sources play critical roles in multi-modal machine learning, multimedia information retrieval, and bioinformatics. In this paper, we propose a supervised dimensionality reduction method…

Machine Learning · Computer Science 2021-01-15 Yanjun Li , Bihan Wen , Hao Cheng , Yoram Bresler

Hyperspectral optical imaging provides rich spectral information for estimating continuous environmental and material parameters; however, its high dimensionality and strong feature correlation pose significant challenges for machine…

Optics · Physics 2025-12-18 Parisa Parand , Mahmoud Samadpour

Quantum Machine Learning (QML) has emerged as a promising framework for exploring how quantum dynamics may enhance data processing tasks. Here we investigate Quantum Extreme Learning Machines (QELMs), a quantum analogue of classical Extreme…

Quantum Physics · Physics 2026-04-27 A. De Lorenzis , M. P. Casado , N. Lo Gullo , T. Lux , F. Plastina , A. Riera

Enabling low precision implementations of deep learning models, without considerable performance degradation, is necessary in resource and latency constrained settings. Moreover, exploiting the differences in sensitivity to quantization…

Machine Learning · Computer Science 2022-10-28 Ignacio Hounie , Juan Elenter , Alejandro Ribeiro

Efficient model inference is an important and practical issue in the deployment of deep neural network on resource constraint platforms. Network quantization addresses this problem effectively by leveraging low-bit representation and…

Computer Vision and Pattern Recognition · Computer Science 2020-01-01 Tianshu Chu , Qin Luo , Jie Yang , Xiaolin Huang

Data visualization is important in understanding the characteristics of data that are difficult to see directly. It is used to visualize loss landscapes and optimization trajectories to analyze optimization performance. Popular optimization…

Quantum Physics · Physics 2023-12-04 Yoshiaki Kawase , Kosuke Mitarai , Keisuke Fujii

This paper proposes a novel kernel approach to linear dimension reduction for supervised learning. The purpose of the dimension reduction is to find directions in the input space to explain the output as effectively as possible. The…

Machine Learning · Statistics 2011-09-05 Kenji Fukumizu , Chenlei Leng

Deep unfolding networks (DUNs) have achieved remarkable success and become the mainstream paradigm for spectral compressive imaging (SCI) reconstruction. Existing DUNs are derived from full-HSI imaging models, where each stage operates…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 He Huang , Yujun Guo , Wei He

In recent years, the performance of lightweight Single-Image Super-Resolution (SISR) has been improved significantly with the application of Convolutional Neural Networks (CNNs) and Large Kernel Attention (LKA). However, existing…

Image and Video Processing · Electrical Eng. & Systems 2025-06-17 Fangwei Hao , Ji Du , Desheng Kong , Jiesheng Wu , Jing Xu , Ping Li

Discriminative features play an important role in image and object classification and also in other fields of research such as semi-supervised learning, fine-grained classification, out of distribution detection. Inspired by Linear…

Computer Vision and Pattern Recognition · Computer Science 2021-07-14 Mai Lan Ha , Gianni Franchi , Emanuel Aldea , Volker Blanz

Variational quantum circuits for image classification suffer from barren plateaus, while quantum kernel methods scale quadratically with dataset size. We propose an iterative framework based on Quadratic Unconstrained Binary Optimization…

Quantum Physics · Physics 2026-03-04 Mostafa Atallah , Rebekah Herrman

Identifying low-dimensional latent structures within high-dimensional data has long been a central topic in the machine learning community, driven by the need for data compression, storage, transmission, and deeper data understanding.…

Machine Learning · Statistics 2025-03-28 Ye Tian , Sanyou Wu , Long Feng

Vector Quantization (VQ) is an appealing model compression method to obtain a tiny model with less accuracy loss. While methods to obtain better codebooks and codes under fixed clustering dimensionality have been extensively studied,…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Zezhou Zhu , Yucong Zhou , Zhao Zhong