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This paper extends the recently introduced assignment flow approach for supervised image labeling to unsupervised scenarios where no labels are given. The resulting self-assignment flow takes a pairwise data affinity matrix as input data…

Machine Learning · Computer Science 2020-03-25 Matthias Zisler , Artjom Zern , Stefania Petra , Christoph Schnörr

Unsupervised domain adaptation is effective in leveraging rich information from a labeled source domain to an unlabeled target domain. Though deep learning and adversarial strategy made a significant breakthrough in the adaptability of…

Machine Learning · Computer Science 2020-08-25 You-Wei Luo , Chuan-Xian Ren , Dao-Qing Dai , Hong Yan

We introduce a novel geometric approach to the image labeling problem. Abstracting from specific labeling applications, a general objective function is defined on a manifold of stochastic matrices, whose elements assign prior data that are…

Computer Vision and Pattern Recognition · Computer Science 2017-01-16 Freddie Åström , Stefania Petra , Bernhard Schmitzer , Christoph Schnörr

Unsupervised domain adaptation is effective in leveraging the rich information from the source domain to the unsupervised target domain. Though deep learning and adversarial strategy make an important breakthrough in the adaptability of…

Machine Learning · Computer Science 2020-03-02 You-Wei Luo , Chuan-Xian Ren , Pengfei Ge , Ke-Kun Huang , Yu-Feng Yu

Unsupervised domain adaptation aiming to learn a specific task for one domain using another domain data has emerged to address the labeling issue in supervised learning, especially because it is difficult to obtain massive amounts of…

Machine Learning · Computer Science 2019-03-13 Jaeyoon Yoo , Changhwa Park , Yongjun Hong , Sungroh Yoon

The assignment flow recently introduced in the J. Math. Imaging and Vision 58/2 (2017), constitutes a high-dimensional dynamical system that evolves on an elementary statistical manifold and performs contextual labeling (classification) of…

Dynamical Systems · Mathematics 2021-11-23 Artjom Zern , Alexander Zeilmann , Christoph Schnörr

Impressive advances in acquisition and sharing technologies have made the growth of multimedia collections and their applications almost unlimited. However, the opposite is true for the availability of labeled data, which is needed for…

Computer Vision and Pattern Recognition · Computer Science 2023-04-26 Lucas Pascotti Valem , Daniel Carlos Guimarães Pedronette , Longin Jan Latecki

This paper introduces the sigma flow model for the prediction of structured labelings of data observed on Riemannian manifolds, including Euclidean image domains as special case. The approach combines the Laplace-Beltrami framework for…

Dynamical Systems · Mathematics 2025-09-12 Jonas Cassel , Bastian Boll , Stefania Petra , Peter Albers , Christoph Schnörr

The usage of convolutional neural networks (CNNs) for unsupervised image segmentation was investigated in this study. In the proposed approach, label prediction and network parameter learning are alternately iterated to meet the following…

Computer Vision and Pattern Recognition · Computer Science 2020-08-26 Wonjik Kim , Asako Kanezaki , Masayuki Tanaka

The scarcity of labeled data is a long-standing challenge for many machine learning tasks. We propose our gradient flow method to leverage the existing dataset (i.e., source) to generate new samples that are close to the dataset of interest…

Machine Learning · Computer Science 2023-11-06 Xinru Hua , Truyen Nguyen , Tam Le , Jose Blanchet , Viet Anh Nguyen

The assignment flow is a smooth dynamical system that evolves on an elementary statistical manifold and performs contextual data labeling on a graph. We derive and introduce the linear assignment flow that evolves nonlinearly on the…

Numerical Analysis · Mathematics 2021-10-14 Alexander Zeilmann , Fabrizio Savarino , Stefania Petra , Christoph Schnörr

We introduce a novel algorithm for estimating optimal parameters of linearized assignment flows for image labeling. An exact formula is derived for the parameter gradient of any loss function that is constrained by the linear system of ODEs…

Machine Learning · Computer Science 2022-04-07 Alexander Zeilmann , Stefania Petra , Christoph Schnörr

Recent semi-supervised learning methods have shown to achieve comparable results to their supervised counterparts while using only a small portion of labels in image classification tasks thanks to their regularization strategies. In this…

Machine Learning · Computer Science 2020-09-25 Wei-Hong Li , Chuan-Sheng Foo , Hakan Bilen

We introduce a novel generative model for the representation of joint probability distributions of a possibly large number of discrete random variables. The approach uses measure transport by randomized assignment flows on the statistical…

Machine Learning · Statistics 2025-01-15 Bastian Boll , Daniel Gonzalez-Alvarado , Stefania Petra , Christoph Schnörr

Assignment flows denote a class of dynamical models for contextual data labeling (classification) on graphs. We derive a novel parametrization of assignment flows that reveals how the underlying information geometry induces two processes…

Dynamical Systems · Mathematics 2019-10-17 Fabrizio Savarino , Christoph Schnörr

Unsupervised domain adaptation aims to address the problem of classifying unlabeled samples from the target domain whilst labeled samples are only available from the source domain and the data distributions are different in these two…

Machine Learning · Computer Science 2019-11-20 Qian Wang , Toby P. Breckon

We study the inverse problem of model parameter learning for pixelwise image labeling, using the linear assignment flow and training data with ground truth. This is accomplished by a Riemannian gradient flow on the manifold of parameters…

Optimization and Control · Mathematics 2020-06-26 Ruben Hühnerbein , Fabrizio Savarino , Stefania Petra , Christoph Schnörr

Supervised learning usually requires a large amount of labelled data. However, attaining ground-truth labels is costly for many tasks. Alternatively, weakly supervised methods learn with cheap weak signals that only approximately label some…

Machine Learning · Computer Science 2024-11-26 You Lu , Wenzhuo Song , Chidubem Arachie , Bert Huang

Supervised learning with large scale labeled datasets and deep layered models has made a paradigm shift in diverse areas in learning and recognition. However, this approach still suffers generalization issues under the presence of a domain…

Machine Learning · Statistics 2016-03-28 Ozan Sener , Hyun Oh Song , Ashutosh Saxena , Silvio Savarese

The need for labeled data is among the most common and well-known practical obstacles to deploying deep learning algorithms to solve real-world problems. The current generation of learning algorithms requires a large volume of data labeled…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Aaron Reite , Scott Kangas , Zackery Steck , Steven Goley , Jonathan Von Stroh , Steven Forsyth
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