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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

Dimension reduction plays a pivotal role in analysing high-dimensional data. However, observations with missing values present serious difficulties in directly applying standard dimension reduction techniques. As a large number of dimension…

Machine Learning · Statistics 2021-09-28 Yurong Ling , Zijing Liu , Jing-Hao Xue

Dimensionality reduction techniques map data represented on higher dimensions onto lower dimensions with varying degrees of information loss. Graph dimensionality reduction techniques adopt the same principle of providing latent…

Machine Learning · Computer Science 2022-11-11 Akhil Pandey Akella

Existing automatic data augmentation (DA) methods either ignore updating DA's parameters according to the target model's state during training or adopt update strategies that are not effective enough. In this work, we design a novel data…

Computer Vision and Pattern Recognition · Computer Science 2023-05-11 Xiaogang Xu , Hengshuang Zhao

Dimension Estimation (DE) and Dimension Reduction (DR) are two closely related topics, but with quite different goals. In DE, one attempts to estimate the intrinsic dimensionality or number of latent variables in a set of measurements of a…

Machine Learning · Computer Science 2019-09-25 Nitish Bahadur , Randy Paffenroth

We propose a new learning method for heterogeneous domain adaptation (HDA), in which the data from the source domain and the target domain are represented by heterogeneous features with different dimensions. Using two different projection…

Machine Learning · Computer Science 2012-06-22 Lixin Duan , Dong Xu , Ivor Tsang

The scalability of statistical estimators is of increasing importance in modern applications. One approach to implementing scalable algorithms is to compress data into a low dimensional latent space using dimension reduction methods. In…

Machine Learning · Statistics 2015-04-14 Gregory Darnell , Stoyan Georgiev , Sayan Mukherjee , Barbara E Engelhardt

In human-level NLP tasks, such as predicting mental health, personality, or demographics, the number of observations is often smaller than the standard 768+ hidden state sizes of each layer within modern transformer-based language models,…

Computation and Language · Computer Science 2023-06-05 Adithya V Ganesan , Matthew Matero , Aravind Reddy Ravula , Huy Vu , H. Andrew Schwartz

In the covariate shift learning scenario, the training and test covariate distributions differ, so that a predictor's average loss over the training and test distributions also differ. In this work, we explore the potential of extreme…

Machine Learning · Computer Science 2018-03-13 Fulton Wang , Cynthia Rudin

Because of high dimensionality, correlation among covariates, and noise contained in data, dimension reduction (DR) techniques are often employed to the application of machine learning algorithms. Principal Component Analysis (PCA), Linear…

Machine Learning · Statistics 2019-10-08 Katherine C. Kempfert , Yishi Wang , Cuixian Chen , Samuel W. K. Wong

One of the central issues of several machine learning applications on real data is the choice of the input features. Ideally, the designer should select only the relevant, non-redundant features to preserve the complete information…

Machine Learning · Computer Science 2023-03-28 Paolo Bonetti , Alberto Maria Metelli , Marcello Restelli

Modern data analytics take advantage of ensemble learning and transfer learning approaches to tackle some of the most relevant issues in data analysis, such as lack of labeled data to use to train the analysis models, sparsity of the…

The development and use of dimension reduction methods is prevalent in modern statistical literature. This paper reviews a class of dimension reduction techniques which aim to simultaneously select relevant predictors and find clusters…

Methodology · Statistics 2022-02-18 Suchit Mehrotra

The use of well-disentangled representations offers many advantages for downstream tasks, e.g. an increased sample efficiency, or better interpretability. However, the quality of disentangled interpretations is often highly dependent on the…

Machine Learning · Computer Science 2023-03-03 Benjamin Estermann , Roger Wattenhofer

The recent increase in dimensionality of data has thrown a great challenge to the existing dimensionality reduction methods in terms of their effectiveness. Dimensionality reduction has emerged as one of the significant preprocessing steps…

Machine Learning · Computer Science 2010-02-10 M. Babu Reddy , L. S. S. Reddy

Dimensionality reduction is a crucial step for pattern recognition and data mining tasks to overcome the curse of dimensionality. Principal component analysis (PCA) is a traditional technique for unsupervised dimensionality reduction, which…

Machine Learning · Computer Science 2017-05-04 Zan Gao , Guotai Zhang , Feiping Nie , Hua Zhang

An analysis of high-dimensional data can offer a detailed description of a system but is often challenged by the curse of dimensionality. General dimensionality reduction techniques can alleviate such difficulty by extracting a few…

Methodology · Statistics 2021-09-28 Di Bo , Hoon Hwangbo , Vinit Sharma , Corey Arndt , Stephanie C. TerMaath

Domain adaptation (DA) aims to generalize a learning model across training and testing data despite the mismatch of their data distributions. In light of a theoretical estimation of upper error bound, we argue in this paper that an…

Computer Vision and Pattern Recognition · Computer Science 2018-01-01 Lingkun Luo , Liming Chen , Shiqiang Hu , Ying Lu , Xiaofang Wang

Dimensionality reduction techniques play important roles in the analysis of big data. Traditional dimensionality reduction approaches, such as principal component analysis (PCA) and linear discriminant analysis (LDA), have been studied…

Machine Learning · Computer Science 2018-05-31 Haozhe Xie , Jie Li , Hanqing Xue

Protecting sensitive information against data exploiting attacks is an emerging research area in data mining. Over the past, several different methods have been introduced to protect individual privacy from such attacks while maximizing…

Cryptography and Security · Computer Science 2021-07-29 Hung Nguyen , Di Zhuang , Pei-Yuan Wu , Morris Chang