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Many material response functions depend strongly on microstructure, such as inhomogeneities in phase or orientation. Homogenization presents the task of predicting the mean response of a sample of the microstructure to external loading for…

Machine Learning · Computer Science 2022-10-04 Reese Jones , Cosmin Safta , Ari Frankel

We develop information geometric techniques to understand the representations learned by deep networks when they are trained on different tasks using supervised, meta-, semi-supervised and contrastive learning. We shed light on the…

Machine Learning · Computer Science 2023-07-25 Rahul Ramesh , Jialin Mao , Itay Griniasty , Rubing Yang , Han Kheng Teoh , Mark Transtrum , James P. Sethna , Pratik Chaudhari

Neural networks that can capture key principles underlying brain computation offer exciting new opportunities for developing artificial intelligence and brain-like computing algorithms. Such networks remain biologically plausible while…

Neural and Evolutionary Computing · Computer Science 2025-01-10 Naresh Ravichandran , Anders Lansner , Pawel Herman

Manifold learning is a hot research topic in the field of computer science and has many applications in the real world. A main drawback of manifold learning methods is, however, that there is no explicit mappings from the input data…

Computer Vision and Pattern Recognition · Computer Science 2010-01-18 Hong Qiao , Peng Zhang , Di Wang , Bo Zhang

We consider a family of problems that are concerned about making predictions for the majority of unlabeled, graph-structured data samples based on a small proportion of labeled samples. Relational information among the data samples, often…

Machine Learning · Computer Science 2019-11-05 Jiaqi Ma , Weijing Tang , Ji Zhu , Qiaozhu Mei

Graphs naturally lend themselves to model the complexities of Hyperspectral Image (HSI) data as well as to serve as semi-supervised classifiers by propagating given labels among nearest neighbours. In this work, we present a novel framework…

Computer Vision and Pattern Recognition · Computer Science 2021-11-01 Madeleine Kotzagiannidis , Carola-Bibiane Schönlieb

Deep neural networks have been demonstrated to achieve phenomenal success in many domains, and yet their inner mechanisms are not well understood. In this paper, we investigate the curvature of image manifolds, i.e., the manifold deviation…

Machine Learning · Computer Science 2023-11-17 Ilya Kaufman , Omri Azencot

Supervised training of neural networks for classification is typically performed with a global loss function. The loss function provides a gradient for the output layer, and this gradient is back-propagated to hidden layers to dictate an…

Machine Learning · Statistics 2019-05-09 Arild Nøkland , Lars Hiller Eidnes

In this paper, we introduce a new model for leveraging unlabeled data to improve generalization performances of image classifiers: a two-branch encoder-decoder architecture called HybridNet. The first branch receives supervision signal and…

Machine Learning · Computer Science 2018-07-31 Thomas Robert , Nicolas Thome , Matthieu Cord

Despite the remarkable performance of supervised medical image segmentation models, relying on a large amount of labeled data is impractical in real-world situations. Semi-supervised learning approaches aim to alleviate this challenge using…

Computer Vision and Pattern Recognition · Computer Science 2025-09-17 Yunyao Lu , Yihang Wu , Ahmad Chaddad , Tareef Daqqaq , Reem Kateb

Graph neural networks have shown superior performance in a wide range of applications providing a powerful representation of graph-structured data. Recent works show that the representation can be further improved by auxiliary tasks.…

Machine Learning · Computer Science 2021-02-09 Dasol Hwang , Jinyoung Park , Sunyoung Kwon , Kyung-Min Kim , Jung-Woo Ha , Hyunwoo J. Kim

Graph Neural Networks (GNNs) have attracted increasing attention in recent years and have achieved excellent performance in semi-supervised node classification tasks. The success of most GNNs relies on one fundamental assumption, i.e., the…

Machine Learning · Computer Science 2024-12-03 Junchao Lin , Yuan Wan , Jingwen Xu , Xingchen Qi

We propose two graph neural network layers for graphs with features in a Riemannian manifold. First, based on a manifold-valued graph diffusion equation, we construct a diffusion layer that can be applied to an arbitrary number of nodes and…

Machine Learning · Computer Science 2025-02-26 Martin Hanik , Gabriele Steidl , Christoph von Tycowicz

Deep neural networks can approximate functions on different types of data, from images to graphs, with varied underlying structure. This underlying structure can be viewed as the geometry of the data manifold. By extending recent advances…

Machine Learning · Computer Science 2023-01-03 Saket Tiwari , George Konidaris

Neural networks have seen an explosion of usage and research in the past decade, particularly within the domains of computer vision and natural language processing. However, only recently have advancements in neural networks yielded…

Machine Learning · Computer Science 2022-07-20 Jacob Renn , Ian Sotnek , Benjamin Harvey , Brian Caffo

Graph representation learning is a ubiquitous task in machine learning where the goal is to embed each vertex into a low-dimensional vector space. We consider the bipartite graph and formalize its representation learning problem as a…

Machine Learning · Statistics 2020-03-03 Sen Na , Yuwei Luo , Zhuoran Yang , Zhaoran Wang , Mladen Kolar

For semi-supervised learning on graphs, we study how initial kernels in a supervised learning regime can be augmented with additional information from known priors or from unsupervised learning outputs. These augmented kernels are…

Machine Learning · Computer Science 2020-03-18 Wolfgang Erb

Designing a neural network architecture for molecular representation is crucial for AI-driven drug discovery and molecule design. In this work, we propose a new framework for molecular representation learning. Our contribution is threefold:…

Machine Learning · Computer Science 2022-10-18 Jiye Kim , Seungbeom Lee , Dongwoo Kim , Sungsoo Ahn , Jaesik Park

Traditional supervised medical image segmentation models require large amounts of labeled data for training; however, obtaining such large-scale labeled datasets in the real world is extremely challenging. Recent semi-supervised…

Computer Vision and Pattern Recognition · Computer Science 2025-05-26 Yunyao Lu , Yihang Wu , Reem Kateb , Ahmad Chaddad

In some machine learning applications the availability of labeled instances for supervised classification is limited while unlabeled instances are abundant. Semi-supervised learning algorithms deal with these scenarios and attempt to…

Neural and Evolutionary Computing · Computer Science 2023-03-07 Roberto Santana , Ivan Hidalgo-Cenalmor , Unai Garciarena , Alexander Mendiburu , Jose Antonio Lozano
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