P$^2$OT: Progressive Partial Optimal Transport for Deep Imbalanced Clustering

Fuente: arXiv
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Autores principales: Zhang, Chuyu, Ren, Hui, He, Xuming
Formato: Preprint
Publicado: 2024
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author Zhang, Chuyu
Ren, Hui
He, Xuming
author_facet Zhang, Chuyu
Ren, Hui
He, Xuming
contents Deep clustering, which learns representation and semantic clustering without labels information, poses a great challenge for deep learning-based approaches. Despite significant progress in recent years, most existing methods focus on uniformly distributed datasets, significantly limiting the practical applicability of their methods. In this paper, we first introduce a more practical problem setting named deep imbalanced clustering, where the underlying classes exhibit an imbalance distribution. To tackle this problem, we propose a novel pseudo-labeling-based learning framework. Our framework formulates pseudo-label generation as a progressive partial optimal transport problem, which progressively transports each sample to imbalanced clusters under prior distribution constraints, thus generating imbalance-aware pseudo-labels and learning from high-confident samples. In addition, we transform the initial formulation into an unbalanced optimal transport problem with augmented constraints, which can be solved efficiently by a fast matrix scaling algorithm. Experiments on various datasets, including a human-curated long-tailed CIFAR100, challenging ImageNet-R, and large-scale subsets of fine-grained iNaturalist2018 datasets, demonstrate the superiority of our method.
format Preprint
id arxiv_https___arxiv_org_abs_2401_09266
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle P$^2$OT: Progressive Partial Optimal Transport for Deep Imbalanced Clustering
Zhang, Chuyu
Ren, Hui
He, Xuming
Computer Vision and Pattern Recognition
Deep clustering, which learns representation and semantic clustering without labels information, poses a great challenge for deep learning-based approaches. Despite significant progress in recent years, most existing methods focus on uniformly distributed datasets, significantly limiting the practical applicability of their methods. In this paper, we first introduce a more practical problem setting named deep imbalanced clustering, where the underlying classes exhibit an imbalance distribution. To tackle this problem, we propose a novel pseudo-labeling-based learning framework. Our framework formulates pseudo-label generation as a progressive partial optimal transport problem, which progressively transports each sample to imbalanced clusters under prior distribution constraints, thus generating imbalance-aware pseudo-labels and learning from high-confident samples. In addition, we transform the initial formulation into an unbalanced optimal transport problem with augmented constraints, which can be solved efficiently by a fast matrix scaling algorithm. Experiments on various datasets, including a human-curated long-tailed CIFAR100, challenging ImageNet-R, and large-scale subsets of fine-grained iNaturalist2018 datasets, demonstrate the superiority of our method.
title P$^2$OT: Progressive Partial Optimal Transport for Deep Imbalanced Clustering
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2401.09266