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We develop a mathematical framework to address a broad class of metric and preference learning problems within a Hilbert space. We obtain a novel representer theorem for the simultaneous task of metric and preference learning. Our key…

Machine Learning · Computer Science 2025-10-28 Peyman Morteza

Metric learning from a set of triplet comparisons in the form of "Do you think item h is more similar to item i or item j?", indicating similarity and differences between items, plays a key role in various applications including image…

Machine Learning · Statistics 2025-08-07 Gokcan Tatli , Yi Chen , Blake Mason , Robert Nowak , Ramya Korlakai Vinayak

Analysis of images of sets of fibers such as myelin sheaths or skeletal muscles must account for both the spatial distribution of fibers and differences in fiber shape. This necessitates a combination of point process and shape analysis…

It is widely accepted that reasoning about object shape is important for object recognition. However, the most powerful object recognition methods today do not explicitly make use of object shape during learning. In this work, motivated by…

Computer Vision and Pattern Recognition · Computer Science 2021-06-22 Stefan Stojanov , Anh Thai , James M. Rehg

We extend our work for compression of currents and varifolds to a compression algorithm for the embedded normal cycles representation of shape, restricted to the constant normal kernel case, using the Nystrom approximation in Reproducing…

Numerical Analysis · Mathematics 2026-05-26 Allen Paul , Neill Campbell , Tony Shardlow

This paper presents a novel deep learning architecture to classify structured objects in datasets with a large number of visually similar categories. We model sequences of images as linear-chain CRFs, and jointly learn the parameters from…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Eran Goldman , Jacob Goldberger

Hyperspectral imaging provides detailed information about the scanned objects, as it captures their spectral characteristics within a large number of wavelength bands. Classification of such data has become an active research topic due to…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Jakub Nalepa , Lukasz Tulczyjew , Michal Myller , Michal Kawulok

Visual object counting is a fundamental computer vision task underpinning numerous real-world applications, from cell counting in biomedicine to traffic and wildlife monitoring. However, existing methods struggle to handle the challenge of…

Computer Vision and Pattern Recognition · Computer Science 2025-07-31 Corentin Dumery , Noa Etté , Aoxiang Fan , Ren Li , Jingyi Xu , Hieu Le , Pascal Fua

The 3D localisation of an object and the estimation of its properties, such as shape and dimensions, are challenging under varying degrees of transparency and lighting conditions. In this paper, we propose a method for jointly localising…

Computer Vision and Pattern Recognition · Computer Science 2020-03-11 Alessio Xompero , Ricardo Sanchez-Matilla , Apostolos Modas , Pascal Frossard , Andrea Cavallaro

Labeling cost is often expensive and is a fundamental limitation of supervised learning. In this paper, we study importance labeling problem, in which we are given many unlabeled data and select a limited number of data to be labeled from…

Machine Learning · Computer Science 2021-04-13 Tomoya Murata , Taiji Suzuki

Kernel mean embeddings have recently attracted the attention of the machine learning community. They map measures $\mu$ from some set $M$ to functions in a reproducing kernel Hilbert space (RKHS) with kernel $k$. The RKHS distance of two…

Machine Learning · Statistics 2019-12-18 Carl-Johann Simon-Gabriel , Bernhard Schölkopf

Despite progress in the rapidly developing field of geometric deep learning, performing statistical analysis on geometric data--where each observation is a shape such as a curve, graph, or surface--remains challenging due to the…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Emmanuel Hartman , Nicolas Charon

Object detection is the identification of an object in the image along with its localisation and classification. It has wide spread applications and is a critical component for vision based software systems. This paper seeks to perform a…

Computer Vision and Pattern Recognition · Computer Science 2018-08-23 Karanbir Singh Chahal , Kuntal Dey

Humans effortlessly identify objects by leveraging a rich understanding of the surrounding scene, including spatial relationships, material properties, and the co-occurrence of other objects. In contrast, most computational object…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Ciprian Constantinescu , Marius Leordeanu

We construct a space of vector fields that are normal to differentiable curves in the plane. Its basis functions are defined via saddle point variational problems in reproducing kernel Hilbert spaces (RKHSs). First, we study the properties…

Optimization and Control · Mathematics 2018-07-04 Alberto Paganini , Kevin Sturm

The shape of objects is an important source of visual information in a wide range of applications. One of the core challenges of shape quantification is to ensure that the extracted measurements remain invariant to transformations that…

Computer Vision and Pattern Recognition · Computer Science 2025-07-02 Anna Foix Romero , Craig Russell , Alexander Krull , Virginie Uhlmann

Objects are represented in sensory systems by continuous manifolds due to sensitivity of neuronal responses to changes in physical features such as location, orientation, and intensity. What makes certain sensory representations better…

Disordered Systems and Neural Networks · Physics 2016-08-23 SueYeon Chung , Daniel D. Lee , Haim Sompolinsky

The X-ray transform is one of the most fundamental integral operators in image processing and reconstruction. In this article, we revisit the formalism of the X-ray transform by considering it as an operator between Reproducing Kernel…

Functional Analysis · Mathematics 2024-06-26 Ho Yun , Victor M. Panaretos

Machine learning and data mining techniques are effective tools to classify large amounts of data. But they tend to preserve any inherent bias in the data, for example, with regards to gender or race. Removing such bias from data or the…

Computational Geometry · Computer Science 2021-05-20 Pantea Haghighatkhah , Wouter Meulemans , Bettina Speckman , Jérôme Urhausen , Kevin Verbeek

Human shape and clothing estimation has gained significant prominence in various domains, including online shopping, fashion retail, augmented reality (AR), virtual reality (VR), and gaming. The visual representation of human shape and…

Computer Vision and Pattern Recognition · Computer Science 2024-02-29 Aayush Gupta , Aditya Gulati , Himanshu , Lakshya LNU