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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…

最优化与控制 · 数学 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…

机器学习 · 计算机科学 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…

统计方法学 · 统计学 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.…

定量方法 · 定量生物学 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…

机器学习 · 统计学 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…

机器学习 · 计算机科学 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…

统计理论 · 数学 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…

统计理论 · 数学 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…

神经元与认知 · 定量生物学 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…

信息检索 · 计算机科学 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…

计算与语言 · 计算机科学 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…

统计方法学 · 统计学 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.…

机器学习 · 统计学 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…

最优化与控制 · 数学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

图形学 · 计算机科学 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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