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We propose a higher-order dimensionality reduction framework based on the Trace Ratio (TR) optimization problem. We establish conditions for existence and uniqueness of solutions and clarify the theoretical connection between the Trace…

Numerical Analysis · Mathematics 2025-11-25 Alaeddine Zahir , Franck Dufrenois , Khalide Jbilou , Ahmed Ratnani

We propose TRACE, a structure-aware framework leveraging diffusion models for localized character encoding to embed data. Unlike existing methods that rely on edge features or pre-defined codebooks, TRACE exploits character structures that…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Jiale Meng , Jie Zhang , Runyi Hu , Zhe-Ming Lu , Tianwei Zhang , Yiming Li

A large class of data questions can be modeled as identifying important slices of data driven by user defined metrics. This paper presents TRACE, a Time-Relational Approximate Cubing Engine that enables interactive analysis on such slices…

Information Retrieval · Computer Science 2024-01-15 Suharsh Sivakumar , Jonathan Shen , Rajat Monga

Dimensionality reduction techniques are widely used for visualizing high-dimensional data in two dimensions. Existing methods are typically designed to preserve either local (e.g., $t$-SNE, UMAP) or global (e.g., MDS, PCA) structure of the…

Machine Learning · Computer Science 2026-02-02 Noël Kury , Dmitry Kobak , Sebastian Damrich

We present TRACE, a mesh-guided 3DGS editing framework that achieves automated, high-fidelity scene transformation. By anchoring video diffusion with explicit 3D geometry, TRACE uniquely enables fine-grained, part-level manipulatio--such as…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Jiyuan Hu , Zechuan Zhang , Zongxin Yang , Yi Yang

For users navigating travel e-commerce websites, the process of researching products and making a purchase often results in intricate browsing patterns that span numerous sessions over an extended period of time. The resulting clickstream…

Information Retrieval · Computer Science 2024-09-23 William Black , Alexander Manlove , Jack Pennington , Andrea Marchini , Ercument Ilhan , Vilda Markeviciute

3D medical image generation is essential for data augmentation and patient privacy, calling for reliable and efficient models suited for clinical practice. However, current methods suffer from limited anatomical fidelity, restricted axial…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Minye Shao , Xingyu Miao , Haoran Duan , Zeyu Wang , Jingkun Chen , Yawen Huang , Xian Wu , Jingjing Deng , Yang Long , Yefeng Zheng

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

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

Modeling place functions from a computational perspective is a prevalent research topic. Trajectory embedding, as a neural-network-backed dimension reduction technology, allows the possibility to put places with similar social functions at…

Artificial Intelligence · Computer Science 2020-12-15 Cheng Fu , Robert Weibel

Although the estimation of 3D human pose and shape (HPS) is rapidly progressing, current methods still cannot reliably estimate moving humans in global coordinates, which is critical for many applications. This is particularly challenging…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Yu Sun , Qian Bao , Wu Liu , Tao Mei , Michael J. Black

High-dimensional imaging is becoming increasingly relevant in many fields from astronomy and cultural heritage to systems biology. Visual exploration of such high-dimensional data is commonly facilitated by dimensionality reduction.…

Computer Vision and Pattern Recognition · Computer Science 2023-08-04 Alexander Vieth , Anna Vilanova , Boudewijn Lelieveldt , Elmar Eisemann , Thomas Höllt

Understanding dynamic 3D scenes is crucial for extended reality (XR) and autonomous driving. Incorporating semantic information into 3D reconstruction enables holistic scene representations, unlocking immersive and interactive applications.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Yun-Jin Li , Mariia Gladkova , Yan Xia , Daniel Cremers

Dimensionality reduction techniques are widely used for visualizing high-dimensional data. However, support for interpreting patterns of dimension reduction results in the context of the original data space is often insufficient.…

Human-Computer Interaction · Computer Science 2024-04-15 Brian Montambault , Gabriel Appleby , Jen Rogers , Camelia D. Brumar , Mingwei Li , Remco Chang

Graph embedding methods transform high-dimensional and complex graph contents into low-dimensional representations. They are useful for a wide range of graph analysis tasks including link prediction, node classification, recommendation and…

Machine Learning · Computer Science 2019-12-03 Bhagya Hettige , Yuan-Fang Li , Weiqing Wang , Wray Buntine

We study object motion path editing in videos, where the goal is to alter a target object's trajectory while preserving the original scene content. Unlike prior video editing methods that primarily manipulate appearance or rely on…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Quynh Phung , Long Mai , Cusuh Ham , Feng Liu , Jia-Bin Huang , Aniruddha Mahapatra

The central challenge in robotic manipulation of deformable objects lies in aligning high-level semantic instructions with physical interaction points under complex appearance and texture variations. Due to near-infinite degrees of freedom,…

Robotics · Computer Science 2026-01-29 Wanjun Jia , Kang Li , Fan Yang , Mengfei Duan , Wenrui Chen , Yiming Jiang , Hui Zhang , Kailun Yang , Zhiyong Li , Yaonan Wang

Low-dimensional representations, or embeddings, of a graph's nodes facilitate several practical data science and data engineering tasks. As such embeddings rely, explicitly or implicitly, on a similarity measure among nodes, they require…

Machine Learning · Computer Science 2023-01-06 Anton Tsitsulin , Marina Munkhoeva , Davide Mottin , Panagiotis Karras , Ivan Oseledets , Emmanuel Müller

Reliable mathematical and scientific reasoning remains an open challenge for large vision-language models. Standard final-answer evaluation often masks reasoning errors, allowing silent failures to persist. To address this gap, we introduce…

Artificial Intelligence · Computer Science 2025-12-15 Shima Imani , Seungwhan Moon , Lambert Mathias , Lu Zhang , Babak Damavandi

Embeddings mapping high-dimensional discrete input to lower-dimensional continuous vector spaces have been widely adopted in machine learning applications as a way to capture domain semantics. Interviewing 13 embedding users across…

Human-Computer Interaction · Computer Science 2022-03-07 Angie Boggust , Brandon Carter , Arvind Satyanarayan
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