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Related papers: Generalized Clustering and Multi-Manifold Learning…

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A promising direction in deep learning research consists in learning representations and simultaneously discovering cluster structure in unlabeled data by optimizing a discriminative loss function. As opposed to supervised deep learning,…

Data fields sampled on irregularly spaced points arise in many applications in the sciences and engineering. For regular grids, Convolutional Neural Networks (CNNs) have been successfully used to gaining benefits from weight sharing and…

Machine Learning · Computer Science 2023-02-28 Nathaniel Trask , Ravi G. Patel , Ben J. Gross , Paul J. Atzberger

Generalized category discovery (GCD) is a recently proposed open-world task. Given a set of images consisting of labeled and unlabeled instances, the goal of GCD is to automatically cluster the unlabeled samples using information…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Xiangli Yang , Xinglin Pan , Irwin King , Zenglin Xu

Deep clustering has increasingly been demonstrating superiority over conventional shallow clustering algorithms. Deep clustering algorithms usually combine representation learning with deep neural networks to achieve this performance,…

Machine Learning · Computer Science 2020-07-01 Ryan McConville , Raul Santos-Rodriguez , Robert J Piechocki , Ian Craddock

Data living on manifolds commonly appear in many applications. Often this results from an inherently latent low-dimensional system being observed through higher dimensional measurements. We show that under certain conditions, it is possible…

Machine Learning · Statistics 2018-07-05 Ariel Schwartz , Ronen Talmon

Continual Learning (CL) focuses on learning from dynamic and changing data distributions while retaining previously acquired knowledge. Various methods have been developed to address the challenge of catastrophic forgetting, including…

Machine Learning · Computer Science 2024-03-21 Zhenyi Wang , Yan Li , Li Shen , Heng Huang

Transformer models have consistently achieved remarkable results in various domains such as natural language processing and computer vision. However, despite ongoing research efforts to better understand these models, the field still lacks…

Machine Learning · Computer Science 2024-10-18 Ilya Kaufman , Omri Azencot

We discuss topological aspects of cluster analysis and show that inferring the topological structure of a dataset before clustering it can considerably enhance cluster detection: theoretical arguments and empirical evidence show that…

Machine Learning · Computer Science 2022-07-04 Moritz Herrmann , Daniyal Kazempour , Fabian Scheipl , Peer Kröger

Preserving geometric structure is important in learning. We propose a unified class of geometry-aware architectures that interleave geometric updates between layers, where both projection layers and intrinsic exponential map updates arise…

Machine Learning · Computer Science 2026-02-04 Karthik Elamvazhuthi , Shiba Biswal , Kian Rosenblum , Arushi Katyal , Tianli Qu , Grady Ma , Rishi Sonthalia

Given a union of non-linear manifolds, non-linear subspace clustering or manifold clustering aims to cluster data points based on manifold structures and also learn to parameterize each manifold as a linear subspace in a feature space. Deep…

Machine Learning · Computer Science 2022-01-26 Zengyi Li , Yubei Chen , Yann LeCun , Friedrich T. Sommer

We consider the problem of simultaneously clustering and learning a linear representation of data lying close to a union of low-dimensional manifolds, a fundamental task in machine learning and computer vision. When the manifolds are…

Machine Learning · Computer Science 2023-08-25 Tianjiao Ding , Shengbang Tong , Kwan Ho Ryan Chan , Xili Dai , Yi Ma , Benjamin D. Haeffele

Co-clustering targets on grouping the samples (e.g., documents, users) and the features (e.g., words, ratings) simultaneously. It employs the dual relation and the bilateral information between the samples and features. In many realworld…

Machine Learning · Computer Science 2016-11-18 Ping Li , Jiajun Bu , Chun Chen , Zhanying He , Deng Cai

Nonlinear dimensional reduction with the manifold assumption, often called manifold learning, has proven its usefulness in a wide range of high-dimensional data analysis. The significant impact of t-SNE and UMAP has catalyzed intense…

Machine Learning · Computer Science 2026-04-02 Jungeum Kim , Xiao Wang

One of the most promising approaches for unsupervised learning is combining deep representation learning and deep clustering. Some recent works propose to simultaneously learn representation using deep neural networks and perform clustering…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Mina Rezaei , Emilio Dorigatti , David Ruegamer , Bernd Bischl

Language-guided grasping has emerged as a promising paradigm for enabling robots to identify and manipulate target objects through natural language instructions, yet it remains highly challenging in cluttered or occluded scenes. Existing…

Robotics · Computer Science 2026-02-05 Rui Tang , Guankun Wang , Long Bai , Huxin Gao , Jiewen Lai , Chi Kit Ng , Jiazheng Wang , Fan Zhang , Hongliang Ren

Many scientific fields study data with an underlying structure that is a non-Euclidean space. Some examples include social networks in computational social sciences, sensor networks in communications, functional networks in brain imaging,…

Computer Vision and Pattern Recognition · Computer Science 2017-08-02 Michael M. Bronstein , Joan Bruna , Yann LeCun , Arthur Szlam , Pierre Vandergheynst

Massive multi-input multi-output (MIMO) in Frequency Division Duplex (FDD) mode suffers from heavy feedback overhead for Channel State Information (CSI). In this paper, a novel manifold learning-based CSI feedback framework (MLCF) is…

Information Theory · Computer Science 2024-08-27 Yandi Cao , Haifan Yin , Ziao Qin , Weidong Li , Weimin Wu , Mérouane Debbah

Deep clustering as an important branch of unsupervised representation learning focuses on embedding semantically similar samples into the identical feature space. This core demand inspires the exploration of contrastive learning and…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Haifeng Xia , Hai Huang , Zhengming Ding

We present Multi-Scale Manifold Alignment(MSMA), an information-geometric framework that decomposes LLM representations into local, intermediate, and global manifolds and learns cross-scale mappings that preserve geometry and information.…

Computation and Language · Computer Science 2025-10-14 Yukun Zhang , Qi Dong

In this paper, we focus on unsupervised representation learning for clustering of images. Recent advances in deep clustering and unsupervised representation learning are based on the idea that different views of an input image (generated…

Computer Vision and Pattern Recognition · Computer Science 2022-04-26 Aniket Anand Deshmukh , Jayanth Reddy Regatti , Eren Manavoglu , Urun Dogan