Curvilinear distance metric learning

S Chen, L Luo, J Yang, C Gong, J Li… - Advances in Neural …, 2019 - proceedings.neurips.cc
… We provide a new intuitive interpretation for traditional linear metric learning by explicitly …
a generalized metric learning model dubbed CDML with discovering the curvilinear distance

Curvilinear collaborative metric learning with macro-micro attentions

H Zhang, RK Wong, VW Chu - 2021 International Joint …, 2021 - ieeexplore.ieee.org
… In this paper, we study the curvilinear metric learning for … CCML solves the geometric
problems that existing linear metric learning … RELATED WORK CCML is a metric learning based …

A convex model for support vector distance metric learning

Y Ruan, Y Xiao, Z Hao, B Liu - … Neural Networks and Learning …, 2021 - ieeexplore.ieee.org
Distance metric learning (DML) aims to learn a distance metric to process the data
distribution. … Specifically, we learn a specific Mahalanobis distance metric from the kernel-transformed …

Handwritten Chinese text line segmentation by clustering with distance metric learning

F Yin, CL Liu - Pattern Recognition, 2009 - Elsevier
… tree (MST) clustering with distance metric learning. Given a distance metric, the connected
… By learning the distance metric in supervised learning on a dataset of pairs of CCs, the …

Nonlinear projection with curvilinear distances: Isomap versus curvilinear distance analysis

JA Lee, A Lendasse, M Verleysen - Neurocomputing, 2004 - Elsevier
… At the first glance, the curvilinear distance appears as a very strange concept. Indeed, …
distance, the curvilinear distance depends not only on the two points between which the distance

Multiple metric learning via local metric fusion

X Guo, L Li, C Dang, J Liang, W Wei - Information Sciences, 2023 - Elsevier
… Adaptive distance metric learning based on the characteristics of data can significantly … of
single metric learning for heterogeneous data, multiple local metric learning has become an …

[PDF][PDF] Curvilinear distance analysis versus Isomap.

JA Lee, A Lendasse, M Verleysen - ESANN, 2002 - researchgate.net
… This paper compares two nonlinear projection methods: Isomap and Curvilinear Distance
Analysis. Contrarily to the traditional linear PCA, these methods work like multidimensional …

A non-isotropic probabilistic take on proxy-based deep metric learning

M Kirchhof, K Roth, Z Akata, E Kasneci - European Conference on …, 2022 - Springer
… by reformulating the standard proxy-based metric learning approach to a distributional one
on … (3) We introduce various distribution-to-distribution metrics for DML and contrast them to …

Spectral, probabilistic, and deep metric learning: Tutorial and survey

B Ghojogh, A Ghodsi, F Karray, M Crowley - arXiv preprint arXiv …, 2022 - arxiv.org
… , locally linear metric adaptation, and adversarial metric learning are covered. We also … for
metric learning in the feature space. We also introduce geometric metric learning methods on …

Riemannian metric learning: Closer to you than you imagine

S Gruffaz, J Sassen - arXiv preprint arXiv:2503.05321, 2025 - arxiv.org
… review of Riemannian metric learning, a generalization of metric learning that has recently
… • We present Riemannian metric learning as a generalization of distance metric learning