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Sparse principal component analysis (PCA) is a popular dimensionality reduction technique for obtaining principal components which are linear combinations of a small subset of the original features. Existing approaches cannot supply…

Optimization and Control · Mathematics 2022-02-22 Dimitris Bertsimas , Ryan Cory-Wright , Jean Pauphilet

This paper explores the application of Reinforcement Learning (RL) to the two-dimensional rectangular packing problem. We propose a reduced representation of the state and action spaces that allow us for high granularity. Leveraging UNet…

Machine Learning · Computer Science 2024-09-25 Waldemar Kołodziejczyk , Mariusz Kaleta

Principal component analysis (PCA) is arguably the most widely used approach for large-dimensional factor analysis. While it is effective when the factors are sufficiently strong, it can be inconsistent when the factors are weak and/or the…

Methodology · Statistics 2025-08-22 Zhongyuan Lyu , Ming Yuan

Prediction of poly(lactic co glycolic acid) (PLGA) micro- and nanoparticles' dissolution rates plays a significant role in pharmaceutical and medical industries. The prediction of PLGA dissolution rate is crucial for drug manufacturing.…

Quantitative Methods · Quantitative Biology 2017-05-22 Varun Kumar Ojha , Konrad Jackowski , Ajith Abraham , Václav Snášel

Principal component analysis (PCA) is a widely used technique for dimension reduction. As datasets continue to grow in size, distributed-PCA (DPCA) has become an active research area. A key challenge in DPCA lies in efficiently aggregating…

Machine Learning · Statistics 2024-10-02 Zhi-Yu Jou , Su-Yun Huang , Hung Hung , Shinto Eguchi

Intermediate Representations (IRs) play a critical role in compiler design and program analysis, yet their comprehension by Large Language Models (LLMs) remains underexplored. In this paper, we present an explorative empirical study…

Machine Learning · Computer Science 2025-06-06 Hailong Jiang , Jianfeng Zhu , Yao Wan , Bo Fang , Hongyu Zhang , Ruoming Jin , Qiang Guan

Principal components analysis (PCA) is a classical method for the reduction of dimensionality of data in the form of n observations (or cases) of a vector with p variables. For a simple model of factor analysis type, it is proved that…

Statistics Theory · Mathematics 2009-01-29 Iain M Johnstone , Arthur Yu Lu

This paper proposes a tool for dimension reduction where the dimension of the original space is reduced: a Principal Loading Analysis (PLA). PLA is a tool to reduce dimensions by discarding variables. The intuition is that variables are…

Statistics Theory · Mathematics 2021-03-05 Jan O. Bauer , Bernhard Drabant

Representational similarity analysis (RSA) has been shown to be an effective framework to characterize brain-activity profiles and deep neural network activations as representational geometry by computing the pairwise distances of the…

Neurons and Cognition · Quantitative Biology 2019-07-30 Baihan Lin , Marieke Mur , Tim Kietzmann , Nikolaus Kriegeskorte

Recently neural network based approaches to knowledge-intensive NLP tasks, such as question answering, started to rely heavily on the combination of neural retrievers and readers. Retrieval is typically performed over a large textual…

Information Retrieval · Computer Science 2022-04-20 Vilém Zouhar , Marius Mosbach , Miaoran Zhang , Dietrich Klakow

Large Language Models have shown remarkable capabilities in the NLP domain. Their effectiveness can mainly be attributed to their ability to adapt to an array of downstream tasks. However, generally, full fine-tuning is a computationally…

Computation and Language · Computer Science 2025-06-10 Harsh Bihany , Shubham Patel , Ashutosh Modi

Dimension reduction is useful for exploratory data analysis. In many applications, it is of interest to discover variation that is enriched in a "foreground" dataset relative to a "background" dataset. Recently, contrastive principal…

Methodology · Statistics 2021-05-04 Didong Li , Andrew Jones , Barbara Engelhardt

Principal component analysis (PCA) is a key tool in the field of data dimensionality reduction. However, some applications involve heterogeneous data that vary in quality due to noise characteristics associated with each data sample.…

Machine Learning · Statistics 2026-03-18 Javier Salazar Cavazos , Jeffrey A. Fessler , Laura Balzano

Principal component analysis (PCA) is a widely used technique for data analysis and dimension reduction with numerous applications in science and engineering. However, the standard PCA suffers from the fact that the principal components…

Optimization and Control · Mathematics 2009-07-14 Zhaosong Lu , Yong Zhang

Random Projection (RP) technique has been widely applied in many scenarios because it can reduce high-dimensional features into low-dimensional space within short time and meet the need of real-time analysis of massive data. There is an…

Machine Learning · Computer Science 2017-06-20 Haozhe Xie , Jie Li , Qiaosheng Zhang , Yadong Wang

Representation learning is a pivotal area in the field of machine learning, focusing on the development of methods to automatically discover the representations or features needed for a given task from raw data. Unlike traditional feature…

Machine Learning · Computer Science 2024-10-11 Jose Antonio Martin H. , Freddy Perozo , Manuel Lopez

As a widely used method in machine learning, principal component analysis (PCA) shows excellent properties for dimensionality reduction. It is a serious problem that PCA is sensitive to outliers, which has been improved by numerous Robust…

Machine Learning · Computer Science 2020-11-24 Shenglan Liu , Yang Yu

Principal Component Analysis (PCA) and Kernel Principal Component Analysis (KPCA) are fundamental methods in machine learning for dimensionality reduction. The former is a technique for finding this approximation in finite dimensions and…

Machine Learning · Computer Science 2018-07-11 Rudrasis Chakraborty , Søren Hauberg , Baba C. Vemuri

Dimensionality reduction (DR) methods are commonly used for analyzing and visualizing multidimensional data. However, when data is a live streaming feed, conventional DR methods cannot be directly used because of their computational…

Graphics · Computer Science 2019-10-16 Takanori Fujiwara , Jia-Kai Chou , Shilpika , Panpan Xu , Liu Ren , Kwan-Liu Ma

As Language Model (LM) capabilities advance, evaluating and supervising them at scale is getting harder for humans. There is hope that other language models can automate both these tasks, which we refer to as ''AI Oversight''. We study how…

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