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We introduce hydra (hyperbolic distance recovery and approximation), a new method for embedding network- or distance-based data into hyperbolic space. We show mathematically that hydra satisfies a certain optimality guarantee: It minimizes…

Computation · Statistics 2019-09-04 Martin Keller-Ressel , Stephanie Nargang

We tackle the task of synthesizing novel views of an object given a few input images and associated camera viewpoints. Our work is inspired by recent 'geometry-free' approaches where multi-view images are encoded as a (global) set-latent…

Computer Vision and Pattern Recognition · Computer Science 2023-01-12 Naveen Venkat , Mayank Agarwal , Maneesh Singh , Shubham Tulsiani

Energy-based predictive world models provide a powerful approach for multi-step visual planning by reasoning over latent energy landscapes rather than generating pixels. However, existing approaches face two major challenges: (i) their…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Zeyu Zhang , Danning Li , Ian Reid , Richard Hartley

Motivated by an application of eliciting users' preferences, we investigate the problem of learning hemimetrics, i.e., pairwise distances among a set of $n$ items that satisfy triangle inequalities and non-negativity constraints. In our…

Machine Learning · Statistics 2016-05-30 Adish Singla , Sebastian Tschiatschek , Andreas Krause

Recent progress in Sign Language Translation (SLT) has focussed primarily on improving the representational capacity of large language models to incorporate Sign Language features. This work explores an alternative direction: enhancing the…

Computer Vision and Pattern Recognition · Computer Science 2025-10-29 Edward Fish , Richard Bowden

Deep metric learning (DML) is a popular approach for images retrieval, solving verification (same or not) problems and addressing open set classification. Arguably, the most common DML approach is with triplet loss, despite significant…

Machine Learning · Computer Science 2019-12-02 Istvan Fehervari , Avinash Ravichandran , Srikar Appalaraju

Exploiting internal spatial geometric constraints of sparse LiDARs is beneficial to depth completion, however, has been not explored well. This paper proposes an efficient method to learn geometry-aware embedding, which encodes the local…

Computer Vision and Pattern Recognition · Computer Science 2022-06-02 Wenchao Du , Hu Chen , Hongyu Yang , Yi Zhang

Full 3D estimation of human pose from a single image remains a challenging task despite many recent advances. In this paper, we explore the hypothesis that strong prior information about scene geometry can be used to improve pose estimation…

Computer Vision and Pattern Recognition · Computer Science 2021-12-10 Zhe Wang , Liyan Chen , Shaurya Rathore , Daeyun Shin , Charless Fowlkes

Autonomous robots are increasingly becoming a strong fixture in social environments. Effective crowd navigation requires not only safe yet fast planning, but should also enable interpretability and computational efficiency for working in…

In this paper, we propose a simple and effective {geometric} model fitting method to fit and segment multi-structure data even in the presence of severe outliers. We cast the task of geometric model fitting as a representative mode-seeking…

Computer Vision and Pattern Recognition · Computer Science 2018-02-07 Hanzi Wang , Guobao Xiao , Yan Yan , David Suter

In this work, we study group recommendation in a particular scenario, namely Occasional Group Recommendation (OGR). Most existing works have addressed OGR by aggregating group members' personal preferences to learn the group representation.…

Information Retrieval · Computer Science 2021-05-10 Lei Guo , Hongzhi Yin , Tong Chen , Xiangliang Zhang , Kai Zheng

Hyperbolic networks have shown prominent improvements over their Euclidean counterparts in several areas involving hierarchical datasets in various domains such as computer vision, graph analysis, and natural language processing. However,…

Machine Learning · Computer Science 2022-06-09 Nurendra Choudhary , Chandan K. Reddy

Hyperbolic-spaces are better suited to represent data with underlying hierarchical relationships, e.g., tree-like data. However, it is often necessary to incorporate, through alignment, different but related representations meaningfully.…

Machine Learning · Statistics 2020-12-03 Andrés Hoyos-Idrobo

This paper introduces a method of calculating and rendering shapes in a non-Euclidean 2D space. In order to achieve this, we developed a physics and graphics engine that uses hyperbolic trigonometry to calculate and subsequently render the…

Graphics · Computer Science 2019-08-13 Daniil Osudin , Christopher Child , Yang-Hui He

Reconstructing both objects and hands in 3D from a single RGB image is complex. Existing methods rely on manually defined hand-object constraints in Euclidean space, leading to suboptimal feature learning. Compared with Euclidean space,…

Computer Vision and Pattern Recognition · Computer Science 2023-09-07 Zhiying Leng , Shun-Cheng Wu , Mahdi Saleh , Antonio Montanaro , Hao Yu , Yin Wang , Nassir Navab , Xiaohui Liang , Federico Tombari

Learning representations according to the underlying geometry is of vital importance for non-Euclidean data. Studies have revealed that the hyperbolic space can effectively embed hierarchical or tree-like data. In particular, the few past…

Machine Learning · Computer Science 2023-06-16 Eric Qu , Dongmian Zou

Reconstructing 3D objects from 2D images is both challenging for our brains and machine learning algorithms. To support this spatial reasoning task, contextual information about the overall shape of an object is critical. However, such…

Computer Vision and Pattern Recognition · Computer Science 2022-09-19 Dominik J. E. Waibel , Scott Atwell , Matthias Meier , Carsten Marr , Bastian Rieck

Hyperbolic space is quickly gaining traction as a promising geometry for hierarchical and robust representation learning. A core open challenge is the development of a mathematical formulation of hyperbolic neural networks that is both…

Machine Learning · Computer Science 2026-01-30 Robert van der Klis , Ricardo Chávez Torres , Max van Spengler , Yuhui Ding , Thomas Hofmann , Pascal Mettes

Crochet models of a hyperbolic plane is a popular educational tool as they help to visualize complicated objets in hyperbolic geometry. We present another way how to make crochet models when we view them as a part of a triangulated…

History and Overview · Mathematics 2019-10-15 Maria Trnkova

As recommender systems increasingly guide physical actions, often through wearables and coaching tools, new challenges arise around how users interpret, trust, and respond to this advice. This paper introduces a conceptual framework for…

Human-Computer Interaction · Computer Science 2025-12-22 Alan Said