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Sufficient dimension reduction is a powerful tool to extract core information hidden in the high-dimensional data and has potentially many important applications in machine learning tasks. However, the existing nonlinear sufficient…

机器学习 · 计算机科学 2022-10-11 Siqi Liang , Yan Sun , Faming Liang

The purpose of sufficient dimension reduction (SDR) is to find the low-dimensional subspace of input features that is sufficient for predicting output values. In this paper, we propose a novel distribution-free SDR method called sufficient…

机器学习 · 统计学 2011-03-28 Makoto Yamada , Gang Niu , Jun Takagi , Masashi Sugiyama

Current deep learning adaptive optimizer methods adjust the step magnitude of parameter updates by altering the effective learning rate used by each parameter. Motivated by the known inverse relation between batch size and learning rate on…

机器学习 · 计算机科学 2022-08-02 Cristian Simionescu , George Stoica , Robert Herscovici

A common belief in high-dimensional data analysis is that data are concentrated on a low-dimensional manifold. This motivates simultaneous dimension reduction and regression on manifolds. We provide an algorithm for learning gradients on…

统计理论 · 数学 2010-02-24 Sayan Mukherjee , Qiang Wu , Ding-Xuan Zhou

Most learning algorithms require the practitioner to manually set the values of many hyperparameters before the learning process can begin. However, with modern algorithms, the evaluation of a given hyperparameter setting can take a…

神经与进化计算 · 计算机科学 2018-07-20 Tobias Hinz , Nicolás Navarro-Guerrero , Sven Magg , Stefan Wermter

Selecting the appropriate dimensionality reduction (DR) technique and determining its optimal hyperparameter settings that maximize the accuracy of the output projections typically involves extensive trial and error, often resulting in…

人机交互 · 计算机科学 2026-01-13 Hyeon Jeon , Jeongin Park , Soohyun Lee , Dae Hyun Kim , Sungbok Shin , Jinwook Seo

Deep Neural Networks (DNN's) are a widely-used solution for a variety of machine learning problems. However, it is often necessary to invest a significant amount of a data scientist's time to pre-process input data, test different neural…

机器学习 · 计算机科学 2022-05-27 Anish Thite , Mohan Dodda , Pulak Agarwal , Jason Zutty

Deep learning has become the method of choice to tackle real-world problems in different domains, partly because of its ability to learn from data and achieve impressive performance on a wide range of applications. However, its success…

计算机视觉与模式识别 · 计算机科学 2022-08-17 Xiaofeng Liu , Chaehwa Yoo , Fangxu Xing , Hyejin Oh , Georges El Fakhri , Je-Won Kang , Jonghye Woo

The accuracy of deep learning (e.g., convolutional neural networks) for an image classification task critically relies on the amount of labeled training data. Aiming to solve an image classification task on a new domain that lacks labeled…

计算机视觉与模式识别 · 计算机科学 2019-01-01 Xianghong Fang , Haoli Bai , Ziyi Guo , Bin Shen , Steven Hoi , Zenglin Xu

Overparameterization in deep learning is powerful: Very large models fit the training data perfectly and yet often generalize well. This realization brought back the study of linear models for regression, including ordinary least squares…

机器学习 · 统计学 2022-04-07 Ningyuan Huang , David W. Hogg , Soledad Villar

Revisiting PCA for Time Series Reduction in Temporal Dimension; Jiaxin Gao, Wenbo Hu, Yuntian Chen; Deep learning has significantly advanced time series analysis (TSA), enabling the extraction of complex patterns for tasks like…

机器学习 · 计算机科学 2024-12-30 Jiaxin Gao , Wenbo Hu , Yuntian Chen

In statistical learning, high covariate dimensionality poses challenges for robust prediction and inference. To address this challenge, supervised dimension reduction is often performed, where dependence on the outcome is maximized for a…

统计方法学 · 统计学 2018-08-24 Patrick Staples , Min Ouyang , Robert F. Dougherty , Gregory A. Ryslik , Paul Dagum

Unsupervised anomaly detection (AD) is a major topic in the field of Cyber-Physical Production Systems (CPPSs). A closely related concern is dimensionality reduction (DR) which is: 1) often used as a preprocessing step in an AD solution, 2)…

机器学习 · 计算机科学 2020-10-29 Benedikt Eiteneuer , Nemanja Hranisavljevic , Oliver Niggemann

As an effective strategy, data augmentation (DA) alleviates data scarcity scenarios where deep learning techniques may fail. It is widely applied in computer vision then introduced to natural language processing and achieves improvements in…

计算与语言 · 计算机科学 2022-06-28 Bohan Li , Yutai Hou , Wanxiang Che

Dimension reduction (DR) algorithms have proven to be extremely useful for gaining insight into large-scale high-dimensional datasets, particularly finding clusters in transcriptomic data. The initial phase of these DR methods often…

机器学习 · 计算机科学 2025-10-15 Yingfan Wang , Yiyang Sun , Haiyang Huang , Cynthia Rudin

In [1], we have explored the theoretical aspects of feature selection and evolutionary algorithms. In this chapter, we focus on optimization algorithms for enhancing data analytic process, i.e., we propose to explore applications of…

机器学习 · 计算机科学 2019-08-26 Farid Ghareh Mohammadi , M. Hadi Amini , Hamid R. Arabnia

Moment-based distributionally robust optimization (DRO) provides an optimization framework to integrate statistical information with traditional optimization approaches. Under this framework, one assumes that the underlying joint…

最优化与控制 · 数学 2023-11-01 Shiyi Jiang , Jianqiang Cheng , Kai Pan , Zuo-Jun Max Shen

Random projection is widely used as a method of dimension reduction. In recent years, its combination with standard techniques of regression and classification has been explored. Here we examine its use with principal component analysis…

统计方法学 · 统计学 2012-04-13 Qi Ding , Eric D. Kolaczyk

Principal component analysis (PCA) has well-documented merits for data extraction and dimensionality reduction. PCA deals with a single dataset at a time, and it is challenged when it comes to analyzing multiple datasets. Yet in certain…

机器学习 · 计算机科学 2017-10-27 Gang Wang , Jia Chen , Georgios B. Giannakis

Unsupervised Domain Adaptation (UDA) aims at classifying unlabeled target images leveraging source labeled ones. In this work, we consider the Partial Domain Adaptation (PDA) variant, where we have extra source classes not present in the…

计算机视觉与模式识别 · 计算机科学 2022-10-05 Tiago Salvador , Kilian Fatras , Ioannis Mitliagkas , Adam Oberman