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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

We transpose an optimal control technique to the image segmentation problem. The idea is to consider image segmentation as a parameter estimation problem. The parameter to estimate is the color of the pixels of the image. We use the…

Numerical Analysis · Mathematics 2011-05-24 Hend Ben Ameur , Guy Chavent , Francois Clément , Pierre Weis

We develop an interpolation-based modeling framework for parameter-dependent partial differential equations arising in control, inverse problems, and uncertainty quantification. The solution is discretized in the physical domain using…

Numerical Analysis · Mathematics 2026-04-20 Erik Burman , Mats G. Larson , Karl Larsson , Jonatan Vallin

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

We introduce a novel approach to Maximum A Posteriori inference based on discrete graphical models. By utilizing local Wasserstein distances for coupling assignment measures across edges of the underlying graph, a given discrete objective…

Machine Learning · Computer Science 2018-05-29 Ruben Hühnerbein , Fabrizio Savarino , Freddie Åström , Christoph Schnörr

The importance of wild video based image set recognition is becoming monotonically increasing. However, the contents of these collected videos are often complicated, and how to efficiently perform set modeling and feature extraction is a…

Computer Vision and Pattern Recognition · Computer Science 2019-08-07 Rui Wang , XiaoJun Wu , Josef Kittler

In this work, we propose a parameterised quantum circuit learning approach to point set matching problem. In contrast to previous annealing-based methods, we propose a quantum circuit-based framework whose parameters are optimised via…

Computer Vision and Pattern Recognition · Computer Science 2021-06-29 Mohammadreza Noormandipour , Hanchen Wang

In this contribution, we are concerned with model order reduction in the context of iterative regularization methods for the solution of inverse problems arising from parameter identification in elliptic partial differential equations. Such…

Numerical Analysis · Mathematics 2024-10-14 Michael Kartmann , Tim Keil , Mario Ohlberger , Stefan Volkwein , Barbara Kaltenbacher

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

To model manifold data using normalizing flows, we employ isometric autoencoders to design embeddings with explicit inverses that do not distort the probability distribution. Using isometries separates manifold learning and density…

Machine Learning · Computer Science 2023-05-09 Eike Cramer , Felix Rauh , Alexander Mitsos , Raúl Tempone , Manuel Dahmen

In this work, we propose a model order reduction framework to deal with inverse problems in a non-intrusive setting. Inverse problems, especially in a partial differential equation context, require a huge computational load due to the…

Numerical Analysis · Mathematics 2024-01-22 Anna Ivagnes , Nicola Demo , Gianluigi Rozza

This paper presents an approach for learning invariant features for object affordance understanding. One of the major problems for a robotic agent acquiring a deeper understanding of affordances is finding sensory-grounded semantics. Being…

Robotics · Computer Science 2019-01-31 Martin Hjelm , Carl Henrik Ek , Renaud Detry , Danica Kragic

Effective learning of asymmetric and local features in images and other data observed on multi-dimensional grids is a challenging objective critical for a wide range of image processing applications involving biomedical and natural images.…

Methodology · Statistics 2022-10-06 Meng Li , Li Ma

Visual place recognition is a critical task in computer vision, especially for localization and navigation systems. Existing methods often rely on contrastive learning: image descriptors are trained to have small distance for similar images…

Computer Vision and Pattern Recognition · Computer Science 2024-01-30 María Leyva-Vallina , Nicola Strisciuglio , Nicolai Petkov

Transfer Learning is concerned with the application of knowledge gained from solving a problem to a different but related problem domain. In this paper, we propose a method and efficient algorithm for ranking and selecting representations…

Machine Learning · Computer Science 2014-05-29 Son N. Tran , Artur d'Avila Garcez

Selecting the best regularization parameter in inverse problems is a classical and yet challenging problem. Recently, data-driven approaches have become popular to tackle this challenge. These approaches are appealing since they do require…

Statistics Theory · Mathematics 2025-10-22 Jonathan Chirinos Rodriguez , Ernesto De Vito , Cesare Molinari , Lorenzo Rosasco , Silvia Villa

Hyper-parameter selection remains a daunting task when building a pattern recognition architecture which performs well, particularly in recently constructed visual pipeline models for feature extraction. We re-formulate pooling in an…

Computer Vision and Pattern Recognition · Computer Science 2013-01-17 Derek Rose , Itamar Arel

Images can vary according to changes in viewpoint, resolution, noise, and illumination. In this paper, we aim to learn representations for an image, which are robust to wide changes in such environmental conditions, using training pairs of…

Computer Vision and Pattern Recognition · Computer Science 2013-01-17 Kye-Hyeon Kim , Rui Cai , Lei Zhang , Seungjin Choi

We propose Regularized Learning under Label shifts (RLLS), a principled and a practical domain-adaptation algorithm to correct for shifts in the label distribution between a source and a target domain. We first estimate importance weights…

Machine Learning · Computer Science 2020-08-10 Kamyar Azizzadenesheli , Anqi Liu , Fanny Yang , Animashree Anandkumar

In this paper, we present a novel deep metric learning method to tackle the multi-label image classification problem. In order to better learn the correlations among images features, as well as labels, we attempt to explore a latent space,…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Changsheng Li , Chong Liu , Lixin Duan , Peng Gao , Kai Zheng