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Despite the prominence of neural network approaches in the field of recommender systems, simple methods such as matrix factorization with quadratic loss are still used in industry for several reasons. These models can be trained with…

Information Retrieval · Computer Science 2022-05-24 Dmitrii Beloborodov , Andrei Zimovnov , Petr Molodyk , Dmitrii Kirillov

Multi-dimensional data exploration is a classic research topic in visualization. Most existing approaches are designed for identifying record patterns in dimensional space or subspace. In this paper, we propose a visual analytics approach…

Machine Learning · Computer Science 2021-04-27 Peng Xie , Wenyuan Tao , Jie Li , Wentao Huang , Siming Chen

Due to the ever-growing diversity of the data source, multi-modality feature learning has attracted more and more attention. However, most of these methods are designed by jointly learning feature representation from multi-modalities that…

Computer Vision and Pattern Recognition · Computer Science 2020-06-09 Danfeng Hong , Jocelyn Chanussot , Naoto Yokoya , Jian Kang , Xiao Xiang Zhu

Similarity between objects is multi-faceted and it can be easier for human annotators to measure it when the focus is on a specific aspect. We consider the problem of mapping objects into view-specific embeddings where the distance between…

Machine Learning · Statistics 2015-10-08 Liwen Zhang , Subhransu Maji , Ryota Tomioka

This paper proposes a supervised dimension reduction methodology for tensor data which has two advantages over most image-based prognostic models. First, the model does not require tensor data to be complete which expands its application to…

Machine Learning · Computer Science 2023-06-06 Chengyu Zhou , Xiaolei Fang

Most data sets comprise of measurements on continuous and categorical variables. In regression and classification Statistics literature, modeling high-dimensional mixed predictors has received limited attention. In this paper we study the…

Statistics Theory · Mathematics 2021-10-26 Efstathia Bura , Liliana Forzani , Rodrigo García Arancibia , Pamela Llop , Diego Tomassi

Inspired by the success of deep learning techniques in the physical and chemical sciences, we apply a modification of an autoencoder type deep neural network to the task of dimension reduction of molecular dynamics data. We can show that…

Machine Learning · Statistics 2018-04-04 Christoph Wehmeyer , Frank Noé

High-dimensional linear classifiers, such as the support vector machine (SVM) and distance weighted discrimination (DWD), are commonly used in biomedical research to distinguish groups of subjects based on a large number of features.…

Methodology · Statistics 2017-10-20 Tianmeng Lyu , Eric F. Lock , Lynn E. Eberly

The problem of joint estimation of multiple graphical models from high dimensional data has been studied in the statistics and machine learning literature, due to its importance in diverse fields including molecular biology, neuroscience…

Methodology · Statistics 2019-07-04 Peyman Jalali , Kshitij Khare , George Michailidis

Among applications of deep learning (DL) involving low cost sensors, remote image classification involves a physical channel that separates edge sensors and cloud classifiers. Traditional DL models must be divided between an encoder for the…

Image and Video Processing · Electrical Eng. & Systems 2023-10-31 Siyu Qi , Achintha Wijesinghe , Lahiru D. Chamain , Zhi Ding

The emergence of low-cost sensor architectures for diverse modalities has made it possible to deploy sensor arrays that capture a single event from a large number of vantage points and using multiple modalities. In many scenarios, these…

Machine Learning · Computer Science 2009-12-09 Mark A. Davenport , Chinmay Hegde , Marco F. Duarte , Richard G. Baraniuk

Embedding techniques have become essential components of large databases in the deep learning era. By encoding discrete entities, such as words, items, or graph nodes, into continuous vector spaces, embeddings facilitate more efficient…

Information Retrieval · Computer Science 2024-10-18 Shiwei Li , Zhuoqi Hu , Xing Tang , Haozhao Wang , Shijie Xu , Weihong Luo , Yuhua Li , Xiuqiang He , Ruixuan Li

In recent years, manifold methods have moved into focus as tools for dimension reduction. Assuming that the high-dimensional data actually lie on or close to a low-dimensional nonlinear manifold, these methods have shown convincing results…

Machine Learning · Statistics 2020-12-23 Moritz Herrmann , Fabian Scheipl

Dimensionality reduction is often used as an initial step in data exploration, either as preprocessing for classification or regression or for visualization. Most dimensionality reduction techniques to date are unsupervised; they do not…

Machine Learning · Statistics 2020-06-17 Jake S. Rhodes , Adele Cutler , Guy Wolf , Kevin R. Moon

In microbiome and genomic studies, the regression of compositional data has been a crucial tool for identifying microbial taxa or genes that are associated with clinical phenotypes. To account for the variation in sequencing depth, the…

Methodology · Statistics 2021-03-11 Pixu Shi , Yuchen Zhou , Anru R. Zhang

Large collections of high-dimensional data have become nearly ubiquitous across many academic fields and application domains, ranging from biology to the humanities. Since working directly with high-dimensional data poses challenges, the…

Datasets such as images, text, or movies are embedded in high-dimensional spaces. However, in important cases such as images of objects, the statistical structure in the data constrains samples to a manifold of dramatically lower…

Machine Learning · Computer Science 2019-10-29 Stefano Recanatesi , Matthew Farrell , Madhu Advani , Timothy Moore , Guillaume Lajoie , Eric Shea-Brown

Numerous embedding models have been recently explored to incorporate semantic knowledge into visual recognition. Existing methods typically focus on minimizing the distance between the corresponding images and texts in the embedding space…

Computer Vision and Pattern Recognition · Computer Science 2017-06-06 Dong Li , Hsin-Ying Lee , Jia-Bin Huang , Shengjin Wang , Ming-Hsuan Yang

While several feature embedding models have been developed in the literature, comparisons of these embeddings have largely focused on their numerical performance in classification-related downstream applications. However, an interpretable…

Machine Learning · Computer Science 2025-08-19 Mohammad Jalali , Bahar Dibaei Nia , Farzan Farnia

Dimension reduction is the process of embedding high-dimensional data into a lower dimensional space to facilitate its analysis. In the Euclidean setting, one fundamental technique for dimension reduction is to apply a random linear map to…

Probability · Mathematics 2017-09-19 Samet Oymak , Joel A. Tropp