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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…

Machine Learning · Statistics 2011-03-28 Makoto Yamada , Gang Niu , Jun Takagi , Masashi Sugiyama

Causal inference plays an important role in under standing the underlying mechanisation of the data generation process across various domains. It is challenging to estimate the average causal effect and individual causal effects from…

Data Structures and Algorithms · Computer Science 2023-01-05 Haoran Zhao , Yinghao Zhang , Debo Cheng , Chen Li , Zaiwen Feng

Over the past few decades, we have witnessed a large family of algorithms that have been designed to provide different solutions to the problem of dimensionality reduction (DR). The DR is an essential tool to excavate the important…

Machine Learning · Computer Science 2020-05-22 Haohao Li , Huibing Wang

With the rapid development of data collection techniques, complex data objects that are not in the Euclidean space are frequently encountered in new statistical applications. Fr\'echet regression model (Peterson & M\"uller 2019) provides a…

Methodology · Statistics 2022-12-08 Qi Zhang , Lingzhou Xue , Bing Li

Searching for the $k$-nearest neighbors (KNN) in multimodal data retrieval is computationally expensive, particularly due to the inherent difficulty in comparing similarity measures across different modalities. Recent advances in multimodal…

Machine Learning · Computer Science 2025-08-25 Chengyu Gong , Gefei Shen , Luanzheng Guo , Nathan Tallent , Dongfang Zhao

Dimensionality reduction (DR) is a popular method for preparing and analyzing high-dimensional data. Reduced data representations are less computationally intensive and easier to manage and visualize, while retaining a significant…

Machine Learning · Computer Science 2022-05-02 Avraam Bardos , Ioannis Mollas , Nick Bassiliades , Grigorios Tsoumakas

The vast majority of Dimensionality Reduction (DR) techniques rely on second-order statistics to define their optimization objective. Even though this provides adequate results in most cases, it comes with several shortcomings. The methods…

Computer Vision and Pattern Recognition · Computer Science 2017-08-21 Nikolaos Passalis , Anastasios Tefas

Dimension reduction (DR) is commonly utilized to capture the intrinsic structure and transform high-dimensional data into low-dimensional space while retaining meaningful properties of the original data. It is used in various applications,…

Machine Learning · Computer Science 2022-11-29 Zelin Zang , Shenghui Cheng , Linyan Lu , Hanchen Xia , Liangyu Li , Yaoting Sun , Yongjie Xu , Lei Shang , Baigui Sun , Stan Z. Li

Fast and cheaper next generation sequencing technologies will generate unprecedentedly massive and highly-dimensional genomic and epigenomic variation data. In the near future, a routine part of medical record will include the sequenced…

Genomics · Quantitative Biology 2013-01-17 Momiao Xiong , Long Ma

The state-of-the-art in discriminative unsupervised surface anomaly detection relies on external datasets for synthesizing anomaly-augmented training images. Such approaches are prone to failure on near-in-distribution anomalies since these…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Vitjan Zavrtanik , Matej Kristan , Danijel Skočaj

Unsupervised learning aims to capture the underlying structure of potentially large and high-dimensional datasets. Traditionally, this involves using dimensionality reduction (DR) methods to project data onto lower-dimensional spaces or…

Machine Learning · Computer Science 2025-06-30 Hugues Van Assel , Cédric Vincent-Cuaz , Nicolas Courty , Rémi Flamary , Pascal Frossard , Titouan Vayer

Sufficient dimension reduction (SDR) is a popular tool in regression analysis, which replaces the original predictors with a minimal set of their linear combinations. However, the estimated linear combinations generally contain all original…

Computation · Statistics 2020-12-16 Lei Yan , Xin Chen

Semi-supervised regression (SSR), which aims to predict continuous scores for samples while reducing the reliance on large-scale labeled data, has recently attracted considerable attention across various applications, including computer…

Machine Learning · Computer Science 2026-05-28 Ye Su , Hezhe Qiao , Wei Huang , Lin Chen

The goal of supervised representation learning is to construct effective data representations for prediction. Among all the characteristics of an ideal nonparametric representation of high-dimensional complex data, sufficiency, low…

Machine Learning · Computer Science 2022-09-02 Jian Huang , Yuling Jiao , Xu Liao , Jin Liu , Zhou Yu

Volume Rendering is an important technique for visualizing three-dimensional scalar data grids and is commonly employed for scientific and medical image data. Direct Volume Rendering (DVR) is a well established and efficient rendering…

Graphics · Computer Science 2021-06-11 Jakob Weiss , Nassir Navab

Despite the remarkable progresses made in deep-learning based depth map super-resolution (DSR), how to tackle real-world degradation in low-resolution (LR) depth maps remains a major challenge. Existing DSR model is generally trained and…

Computer Vision and Pattern Recognition · Computer Science 2020-06-03 Xibin Song , Yuchao Dai , Dingfu Zhou , Liu Liu , Wei Li , Hongdng Li , Ruigang Yang

The challenge in fine-grained visual categorization lies in how to explore the subtle differences between different subclasses and achieve accurate discrimination. Previous research has relied on large-scale annotated data and pre-trained…

Computer Vision and Pattern Recognition · Computer Science 2024-05-16 Tianxu Wu , Shuo Ye , Shuhuang Chen , Qinmu Peng , Xinge You

This paper investigates the Sensor Network Localization (SNL) problem, which seeks to determine sensor locations based on known anchor locations and partially given anchors-sensors and sensors-sensors distances. Two primary methods for…

Optimization and Control · Mathematics 2023-08-09 Mingyu Lei , Jiayu Zhang , Yinyu Ye

In ordinary Dimensionality Reduction (DR), each data instance in a high dimensional space (original space), or on a distance matrix denoting original space distances, is mapped to (projected onto) one point in a low dimensional space…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Farshad Barahimi

This paper proposes a novel pixel-level distribution regularization scheme (DRSL) for self-supervised domain adaptation of semantic segmentation. In a typical setting, the classification loss forces the semantic segmentation model to…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Javed Iqbal , Hamza Rawal , Rehan Hafiz , Yu-Tseh Chi , Mohsen Ali