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Sufficient dimension reduction aims for reduction of dimensionality of a regression without loss of information by replacing the original predictor with its lower-dimensional subspace. Partial (sufficient) dimension reduction arises when…

Methodology · Statistics 2019-09-27 Lu Li , Kai Tan , Xuerong Meggie Wen , Zhou Yu

The merit of projecting data onto linear subspaces is well known from, e.g., dimension reduction. One key aspect of subspace projections, the maximum preservation of variance (principal component analysis), has been thoroughly researched…

Machine Learning · Computer Science 2022-09-27 Erik Thordsen , Erich Schubert

Dimension reduction is often the first step in statistical modeling or prediction of multivariate spatial data. However, most existing dimension reduction techniques do not account for the spatial correlation between observations and do not…

Methodology · Statistics 2025-05-27 Si Cheng , Magali N. Blanco , Timothy V. Larson , Lianne Sheppard , Adam Szpiro , Ali Shojaie

Correspondence selection aiming at seeking correct feature correspondences from raw feature matches is pivotal for a number of feature-matching-based tasks. Various 2D (image) correspondence selection algorithms have been presented with…

Computer Vision and Pattern Recognition · Computer Science 2019-05-01 Chen Zhao , Jiaqi Yang , Yang Xiao , Zhiguo Cao

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…

Human-Computer Interaction · Computer Science 2026-01-13 Hyeon Jeon , Jeongin Park , Soohyun Lee , Dae Hyun Kim , Sungbok Shin , Jinwook Seo

Due to the abundance of 2D product images from the Internet, developing efficient and scalable algorithms to recover the missing depth information is central to many applications. Recent works have addressed the single-view depth estimation…

Computer Vision and Pattern Recognition · Computer Science 2016-06-13 Guilin Liu , Chao Yang , Zimo Li , Duygu Ceylan , Qixing Huang

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

The use of orthogonal projections on high-dimensional input and target data in learning frameworks is studied. First, we investigate the relations between two standard objectives in dimension reduction, preservation of variance and of…

Computational photography involves sophisticated capture methods. A new trend is to capture projection of higher dimensional visual signals such as videos, multi-spectral data and lightfields on lower dimensional sensors. Carefully designed…

Computer Vision and Pattern Recognition · Computer Science 2011-09-12 Rohit Pandharkar , Ashok Veeraraghavan , Ramesh Raskar

Recent advancements in Direct Preference Optimization (DPO) have significantly enhanced the alignment of Large Language Models (LLMs) with human preferences, owing to its simplicity and effectiveness. However, existing methods typically…

Computation and Language · Computer Science 2024-10-28 Shilong Li , Yancheng He , Hui Huang , Xingyuan Bu , Jiaheng Liu , Hangyu Guo , Weixun Wang , Jihao Gu , Wenbo Su , Bo Zheng

Sharpened dimensionality reduction (SDR), which belongs to the class of multidimensional projection techniques, has recently been introduced to tackle the challenges in the exploratory and visual analysis of high-dimensional data. SDR has…

Computer Vision and Pattern Recognition · Computer Science 2022-02-24 Jeewon Heo , Youngjoo Kim , Jos B. T. M. Roerdink

Dimensionality reduction (DR) is one of the key tools for the visual exploration of high-dimensional data and uncovering its cluster structure in two- or three-dimensional spaces. The vast majority of DR methods in the literature do not…

Machine Learning · Computer Science 2026-04-28 Stavros Gerolymatos , Xenophon Evangelopoulos , Vladimir Gusev , John Y. Goulermas

We present a collection of heuristics and simple tests for evaluating the quality of a projection-based virtual reality display. A typical VR system includes numerous potential sources of error. By understanding the characteristics of a…

Human-Computer Interaction · Computer Science 2023-11-17 Dave Pape , Dan Sandin

Multidimensional projections (MP) are among the most essential approaches in the visual analysis of multidimensional data. It transforms multidimensional data into two-dimensional representations that may be shown as scatter plots while…

Computer Vision and Pattern Recognition · Computer Science 2024-07-24 Maniru Ibrahim , Thales Vieira

This work presents a systematic investigation into how alternative LiDAR-to-image projections affect metric place recognition when coupled with a state-of-the-art vision foundation model. We introduce a modular retrieval pipeline that…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Pierpaolo Serio , Giulio Pisaneschi , Andrea Dan Ryals , Vincenzo Infantino , Lorenzo Gentilini , Valentina Donzella , Lorenzo Pollini

This paper proposes two linear projection methods for supervised dimension reduction using only the first and second-order statistics. The methods, each catering to a different parameter regime, are derived under the general Gaussian model…

Information Theory · Computer Science 2024-08-13 Biao Chen , Joshua Kortje

We consider the problem of segmenting a large population of customers into non-overlapping groups with similar preferences, using diverse preference observations such as purchases, ratings, clicks, etc. over subsets of items. We focus on…

Methodology · Statistics 2017-01-27 Srikanth Jagabathula , Lakshminarayanan Subramanian , Ashwin Venkataraman

Recently, various methods for 6D pose and shape estimation of objects have been proposed. Typically, these methods evaluate their pose estimation in terms of average precision, and reconstruction quality with chamfer distance. In this work…

Computer Vision and Pattern Recognition · Computer Science 2022-02-22 Leonard Bruns , Patric Jensfelt

The accuracy of recommender systems influences their trust and decision-making when using them. Providing additional information, such as visualizations, offers context that would otherwise be lacking. However, the role of visualizations in…

Human-Computer Interaction · Computer Science 2024-09-24 Bhavana Doppalapudi , Md Dilshadur Rahman , Paul Rosen

Dimensionality reduction (DR) algorithms compress high-dimensional data into a lower dimensional representation while preserving important features of the data. DR is a critical step in many analysis pipelines as it enables visualisation,…

Machine Learning · Statistics 2023-05-26 Aditya Ravuri , Francisco Vargas , Vidhi Lalchand , Neil D. Lawrence
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