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This is a tutorial and survey paper on metric learning. Algorithms are divided into spectral, probabilistic, and deep metric learning. We first start with the definition of distance metric, Mahalanobis distance, and generalized Mahalanobis…

机器学习 · 统计学 2022-01-25 Benyamin Ghojogh , Ali Ghodsi , Fakhri Karray , Mark Crowley

Statistical learning of materials properties or functions so far starts with a largely silent, non-challenged step: the choice of the set of descriptive parameters (termed descriptor). However, when the scientific connection between the…

数据分析、统计与概率 · 物理学 2015-03-13 Luca M. Ghiringhelli , Jan Vybiral , Sergey V. Levchenko , Claudia Draxl , Matthias Scheffler

Due to the growing ubiquity of unlabeled data, learning with unlabeled data is attracting increasing attention in machine learning. In this paper, we propose a novel semi-supervised kernel learning method which can seamlessly combine…

机器学习 · 计算机科学 2012-03-19 Qi Mao , Ivor W. Tsang

Determinantal point processes (DPPs) are well-suited for modeling repulsion and have proven useful in many applications where diversity is desired. While DPPs have many appealing properties, such as efficient sampling, learning the…

机器学习 · 统计学 2014-02-21 Raja Hafiz Affandi , Emily B. Fox , Ryan P. Adams , Ben Taskar

Eigenanalysis of differential operators, such as the Laplace operator or elastic energy Hessian, is typically restricted to a single shape and its discretization, limiting reduced order modeling (ROM). We introduce the first eigenanalysis…

图形学 · 计算机科学 2025-05-14 Yue Chang , Otman Benchekroun , Maurizio M. Chiaramonte , Peter Yichen Chen , Eitan Grinspun

Methods for medical image registration infer geometric transformations that align pairs/groups of images by maximising an image similarity metric. This problem is ill-posed as several solutions may have equivalent likelihoods, also…

计算机视觉与模式识别 · 计算机科学 2024-03-19 Aisha L. Shuaibu , Ivor J. A. Simpson

The challenge of selecting the most relevant features of a given dataset arises ubiquitously in data analysis and dimensionality reduction. However, features found to be of high importance for the entire dataset may not be relevant to…

机器学习 · 统计学 2024-04-11 Otto Sumray , Heather A. Harrington , Vidit Nanda

Deformable image registration is a fundamental task in medical image analysis and plays a crucial role in a wide range of clinical applications. Recently, deep learning-based approaches have been widely studied for deformable medical image…

图像与视频处理 · 电气工程与系统科学 2023-07-03 Jing Zou , Noémie Debroux , Lihao Liu , Jing Qin , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

We present a method to match three dimensional shapes under non-isometric deformations, topology changes and partiality. We formulate the problem as matching between a set of pair-wise and point-wise descriptors, imposing a continuity prior…

Shapes and texture image recognition usage is an essential branch of pattern recognition. It is made up of techniques that aim at extracting information from images via human knowledge and works. Local Binary Pattern (LBP) ensures encoding…

计算机视觉与模式识别 · 计算机科学 2014-11-27 Mohammed A. Talab , Siti Norul Huda Sheikh Abdullah , Bilal Bataineh

Many PDEs involving fractional Laplacian are naturally set in unbounded domains with underlying solutions decay very slowly, subject to certain power laws. Their numerical solutions are under-explored. This paper aims at developing accurate…

数值分析 · 数学 2019-05-08 Tao Tang , Li-Lian Wang , Huifang Yuan , Tao Zhou

Design of filters for graph signal processing benefits from knowledge of the spectral decomposition of matrices that encode graphs, such as the adjacency matrix and the Laplacian matrix, used to define the shift operator. For shift matrices…

数值分析 · 计算机科学 2017-01-10 Stephen Kruzick , José M. F. Moura

Smoothing a signal based on local neighborhoods is a core operation in machine learning and geometry processing. On well-structured domains such as vector spaces and manifolds, the Laplace operator derived from differential geometry offers…

计算机视觉与模式识别 · 计算机科学 2025-07-09 Nathan Kessler , Robin Magnet , Jean Feydy

We propose ULFS-KDPE, a kernel debiased plug-in estimator based on the universal least favorable submodel, for estimating pathwise differentiable parameters in nonparametric models. The method constructs a data-adaptive debiasing flow in a…

统计理论 · 数学 2026-03-11 Haiyi Chen , Yang Liu , Ivana Malenica

We investigate the problem of facial expression recognition using 3D data. Building from one of the most successful frameworks for facial analysis using exclusively 3D geometry, we extend the analysis from a curve-based representation into…

计算机视觉与模式识别 · 计算机科学 2017-05-22 Dmytro Derkach , Federico M. Sukno

Feature selection of high-dimensional labeled data with limited observations is critical for making powerful predictive modeling accessible, scalable, and interpretable for domain experts. Spectroscopy data, which records the interaction…

机器学习 · 计算机科学 2022-02-10 Frantishek Akulich , Hadis Anahideh , Manaf Sheyyab , Dhananjay Ambre

Feature matching in omnidirectional vision systems is a challenging problem, mainly because complicated optical systems make the theoretical modelling of invariance and construction of invariant feature descriptors hard or even impossible.…

计算机视觉与模式识别 · 计算机科学 2011-12-30 Jonathan Masci , Davide Migliore , Michael M. Bronstein , Jürgen Schmidhuber

Feature-based approaches have recently become very popular in computer vision and image analysis applications, and are becoming a promising direction in shape retrieval. SHREC'11 robust feature detection and description benchmark simulates…

We investigate input-conditioned hypernetworks for multi-tasking in NLP, generating parameter-efficient adaptations for a decoder using a hypernetwork conditioned on the output of an encoder. This approach produces a unique decoder…

计算与语言 · 计算机科学 2022-10-19 Hamish Ivison , Matthew E. Peters

We propose a general framework for differentiating shapes represented in binary images with respect to their parameters. This framework functions as an automatic differentiation tool for shape parameters, generating both binary density maps…

计算物理 · 物理学 2024-12-04 Zhaocheng Liu , Jim Bonar