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Advanced representation learning techniques require reliable and general evaluation methods. Recently, several algorithms based on the common idea of geometric and topological analysis of a manifold approximated from the learned data…

机器学习 · 计算机科学 2022-02-15 Petra Poklukar , Vladislav Polianskii , Anastasia Varava , Florian Pokorny , Danica Kragic

Ptychographic imaging confronts inherent challenges in applying deep learning for phase retrieval from diffraction patterns. Conventional neural architectures, both convolutional neural networks and Transformer-based methods, are optimized…

This paper compares two neural network input selection schemes, the Principal Component Analysis (PCA) and the Automatic Relevance Determination (ARD) based on Mac-Kay's evidence framework. The PCA takes all the input data and projects it…

计算工程、金融与科学 · 计算机科学 2007-05-23 L. Mdlazi , T. Marwala , C. J. Stander , C. Scheffer , P. S. Heyns

Recently, the robustification of principal component analysis has attracted lots of attention from statisticians, engineers and computer scientists. In this work we study the type of outliers that are not necessarily apparent in the…

统计方法学 · 统计学 2016-01-29 Yiyuan She , Shijie Li , Dapeng Wu

Ubiquitous geometric objects can be precisely and efficiently represented as polyhedra. The transformation of a polyhedron into a vector, known as polyhedra representation learning, is crucial for manipulating these shapes with mathematical…

计算机视觉与模式识别 · 计算机科学 2025-02-20 Dazhou Yu , Genpei Zhang , Liang Zhao

A key property of neural networks (both biological and artificial) is how they learn to represent and manipulate input information in order to solve a task. Different types of representations may be suited to different types of tasks,…

机器学习 · 计算机科学 2023-07-18 Ryan Pyle , Sebastian Musslick , Jonathan D. Cohen , Ankit B. Patel

Principal Component Analysis (PCA) is a widely used technique in machine learning, data analysis and signal processing. With the increase in the size and complexity of datasets, it has become important to develop low-space usage algorithms…

机器学习 · 计算机科学 2023-03-09 Yichuan Deng , Zhao Song , Zifan Wang , Han Zhang

Principal component analysis (PCA) can be significantly limited when there is too few examples of the target data of interest. We propose a transfer learning approach to PCA (TL-PCA) where knowledge from a related source task is used in…

机器学习 · 计算机科学 2024-10-15 Sharon Hendy , Yehuda Dar

Methods for supervised principal component analysis (SPCA) aim to incorporate label information into principal component analysis (PCA), so that the extracted features are more useful for a prediction task of interest. Prior work on SPCA…

机器学习 · 统计学 2022-08-18 Alexander Ritchie , Laura Balzano , Daniel Kessler , Chandra S. Sripada , Clayton Scott

Autonomous assembly of objects is an essential task in robotics and 3D computer vision. It has been studied extensively in robotics as a problem of motion planning, actuator control and obstacle avoidance. However, the task of developing a…

计算机视觉与模式识别 · 计算机科学 2021-08-02 Abhinav Narayan Harish , Rajendra Nagar , Shanmuganathan Raman

We consider the problem of interpretable network representation learning for samples of network-valued data. We propose the Principal Component Analysis for Networks (PCAN) algorithm to identify statistically meaningful low-dimensional…

机器学习 · 统计学 2021-06-29 James D. Wilson , Jihui Lee

Recently, feature relation learning has drawn widespread attention in cross-spectral image patch matching. However, existing related research focuses on extracting diverse relations between image patch features and ignores sufficient…

计算机视觉与模式识别 · 计算机科学 2025-04-22 Chuang Yu , Yunpeng Liu , Jinmiao Zhao , Dou Quan , Zelin Shi , Xiangyu Yue

We revisit the problem of fair principal component analysis (PCA), where the goal is to learn the best low-rank linear approximation of the data that obfuscates demographic information. We propose a conceptually simple approach that allows…

机器学习 · 统计学 2023-02-28 Matthäus Kleindessner , Michele Donini , Chris Russell , Muhammad Bilal Zafar

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…

机器学习 · 统计学 2024-01-30 Florian Heinrichs

In the rapidly evolving realm of machine learning, algorithm effectiveness often faces limitations due to data quality and availability. Traditional approaches grapple with data sharing due to legal and privacy concerns. The federated…

机器学习 · 计算机科学 2023-11-16 Sin Cheng Ciou , Pin Jui Chen , Elvin Y. Tseng , Yuh-Jye Lee

Process monitoring based on neural networks is getting more and more attention. Compared with classical neural networks, high-order neural networks have natural advantages in dealing with heteroscedastic data. However, high-order neural…

机器学习 · 计算机科学 2021-12-22 Peng Jingchao , Zhao Haitao , Hu Zhengwei

Accurate representation to an academic network is of great significance to academic relationship mining like predicting scientific impact. A Latent Factorization of Tensors (LFT) model is one of the most effective models for learning the…

机器学习 · 计算机科学 2025-04-14 Chunyang Zhang , Xin Liao , Hao Wu

Data collection often results in records that have missing values or variables. This investigation compares 3 different data imputation models and identifies their merits by using accuracy measures. Autoencoder Neural Networks, Principal…

人工智能 · 计算机科学 2007-09-18 Vukosi N. Marivate , Fulufhelo V. Nelwamodo , Tshilidzi Marwala

Comparing different neural network representations and determining how representations evolve over time remain challenging open questions in our understanding of the function of neural networks. Comparing representations in neural networks…

机器学习 · 统计学 2018-10-25 Ari S. Morcos , Maithra Raghu , Samy Bengio

In order to classify the nonlinear feature with linear classifier and improve the classification accuracy, a deep learning network named kernel principal component analysis network (KPCANet) is proposed. First, mapping the data into higher…

机器学习 · 计算机科学 2015-12-22 Dan Wu , Jiasong Wu , Rui Zeng , Longyu Jiang , Lotfi Senhadji , Huazhong Shu