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Multidimensional scaling (MDS) is a popular technique for mapping a finite metric space into a low-dimensional Euclidean space in a way that best preserves pairwise distances. We study a notion of MDS on infinite metric measure spaces,…

Statistics Theory · Mathematics 2019-04-17 Lara Kassab

Unsupervised domain adaptation aims to transfer the classifier learned from the source domain to the target domain in an unsupervised manner. With the help of target pseudo-labels, aligning class-level distributions and learning the…

Machine Learning · Computer Science 2019-06-11 Dong-Dong Chen , Yisen Wang , Jinfeng Yi , Zaiyi Chen , Zhi-Hua Zhou

Unsupervised learning aims to capture the underlying structure of potentially large and high-dimensional datasets. Traditionally, this involves using dimensionality reduction (DR) methods to project data onto lower-dimensional spaces or…

Machine Learning · Computer Science 2025-06-30 Hugues Van Assel , Cédric Vincent-Cuaz , Nicolas Courty , Rémi Flamary , Pascal Frossard , Titouan Vayer

We present a set of algorithms implementing multidimensional scaling (MDS) for large data sets. MDS is a family of dimensionality reduction techniques using a $n \times n$ distance matrix as input, where $n$ is the number of individuals,…

Computation · Statistics 2024-02-02 Pedro Delicado , Cristian Pachón-García

Despite the remarkable results that can be achieved by data-driven intelligent fault diagnosis techniques, they presuppose the same distribution of training and test data as well as sufficient labeled data. Various operating states often…

Machine Learning · Computer Science 2023-11-27 Zixuan Wang , Haoran Tang , Haibo Wang , Bo Qin , Mark D. Butala , Weiming Shen , Hongwei Wang

Unsupervised domain adaptation aims to transfer and adapt knowledge learned from a labeled source domain to an unlabeled target domain. Key components of unsupervised domain adaptation include: (a) maximizing performance on the target, and…

Machine Learning · Statistics 2019-12-20 Kowshik Thopalli , Jayaraman J. Thiagarajan , Rushil Anirudh , Pavan Turaga

Domain adaptation is an essential task in transfer learning to leverage data in one domain to bolster learning in another domain. In this paper, we present a new semi-supervised manifold alignment technique based on a two-step approach of…

Machine Learning · Computer Science 2020-11-12 Stefan Dernbach , Don Towsley

Domain shift poses a fundamental challenge in time series analysis, where models trained on source domain often fail dramatically when applied in target domain with different yet similar distributions. While current unsupervised domain…

Machine Learning · Computer Science 2025-08-07 Rongyao Cai , Ming Jin , Qingsong Wen , Kexin Zhang

Domain shifts in the training data are common in practical applications of machine learning; they occur for instance when the data is coming from different sources. Ideally, a ML model should work well independently of these shifts, for…

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

Score matching provides an effective approach to learning flexible unnormalized models, but its scalability is limited by the need to evaluate a second-order derivative. In this paper, we present a scalable approximation to a general family…

Machine Learning · Statistics 2020-02-19 Ziyu Wang , Shuyu Cheng , Yueru Li , Jun Zhu , Bo Zhang

We consider the regression problem of estimating functions on $\mathbb{R}^D$ but supported on a $d$-dimensional manifold $ \mathcal{M} \subset \mathbb{R}^D $ with $ d \ll D $. Drawing ideas from multi-resolution analysis and nonlinear…

Machine Learning · Statistics 2021-01-14 Wenjing Liao , Mauro Maggioni , Stefano Vigogna

This paper presents a novel unsupervised domain adaptation method for cross-domain visual recognition. We propose a unified framework that reduces the shift between domains both statistically and geometrically, referred to as Joint…

Computer Vision and Pattern Recognition · Computer Science 2017-05-17 Jing Zhang , Wanqing Li , Philip Ogunbona

Joint distribution matching (JDM) problem, which aims to learn bidirectional mappings to match joint distributions of two domains, occurs in many machine learning and computer vision applications. This problem, however, is very difficult…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 JieZhang Cao , Langyuan Mo , Qing Du , Yong Guo , Peilin Zhao , Junzhou Huang , Mingkui Tan

Many real-world problems can be formulated as the alignment between two geometric patterns. Previously, a great amount of research focus on the alignment of 2D or 3D patterns in the field of computer vision. Recently, the alignment problem…

Computer Vision and Pattern Recognition · Computer Science 2023-07-11 Hu Ding , Wenjie Liu , Mingquan Ye

In recent years many works have shown that unsupervised Machine Learning (ML) can help detect unusual objects and uncover trends in large astronomical datasets, but a few challenges remain. We show here, for example, that different methods,…

Instrumentation and Methods for Astrophysics · Physics 2019-11-19 Itamar Reis , Michael Rotman , Dovi Poznanski , J. Xavier Prochaska , Lior Wolf

Unsupervised domain mapping has attracted substantial attention in recent years due to the success of models based on the cycle-consistency assumption. These models map between two domains by fooling a probabilistic discriminator, thereby…

Machine Learning · Computer Science 2019-01-25 Matthew Amodio , Smita Krishnaswamy

In order to avoid the curse of dimensionality, frequently encountered in Big Data analysis, there was a vast development in the field of linear and nonlinear dimension reduction techniques in recent years. These techniques (sometimes…

Graphics · Computer Science 2020-02-27 Barak Sober , David Levin

Multidimensional scaling (MDS) is widely used to reconstruct a low-dimensional representation of high-dimensional data while preserving pairwise distances. However, Bayesian MDS approaches based on Markov chain Monte Carlo (MCMC) face…

Methodology · Statistics 2026-02-26 Jiarui Zhang , Jiguo Cao , Liangliang Wang

Domain adaptation for Cross-LiDAR 3D detection is challenging due to the large gap on the raw data representation with disparate point densities and point arrangements. By exploring domain-invariant 3D geometric characteristics and motion…

Computer Vision and Pattern Recognition · Computer Science 2022-12-02 Xidong Peng , Xinge Zhu , Yuexin Ma