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We consider the problem of statistical inference for the effective dynamics of multiscale diffusion processes with (at least) two widely separated characteristic time scales. More precisely, we seek to determine parameters in the effective…

Statistics Theory · Mathematics 2013-05-30 Sebastian Krumscheid , Grigorios A. Pavliotis , Serafim Kalliadasis

Graph learning methods have recently been receiving increasing interest as means to infer structure in datasets. Most of the recent approaches focus on different relationships between a graph and data sample distributions, mostly in…

Machine Learning · Computer Science 2020-03-23 Hermina Petric Maretic , Pascal Frossard

Representing data by means of graph structures identifies one of the most valid approach to extract information in several data analysis applications. This is especially true when multimodal datasets are investigated, as records collected…

Social and Information Networks · Computer Science 2022-10-18 Andrea Marinoni , Christian Jutten , Mark Girolami

Multimodal datasets contain an enormous amount of relational information, which grows exponentially with the introduction of new modalities. Learning representations in such a scenario is inherently complex due to the presence of multiple…

Machine Learning · Computer Science 2019-09-24 Devanshu Arya , Stevan Rudinac , Marcel Worring

In this paper, we present a graph-based semi-supervised framework for hyperspectral image classification. We first introduce a novel superpixel algorithm based on the spectral covariance matrix representation of pixels to provide a better…

Computer Vision and Pattern Recognition · Computer Science 2019-05-16 Philip Sellars , Angelica Aviles-Rivero , Nicolas Papadakis , David Coomes , Anita Faul , Carola-Bibane Schönlieb

The ability of Graph Neural Networks (GNNs) to capture long-range and global topology information is limited by the scope of conventional graph Laplacian, leading to unsatisfactory performance on some datasets, particularly on heterophilic…

Machine Learning · Computer Science 2024-09-17 Qincheng Lu , Jiaqi Zhu , Sitao Luan , Xiao-Wen Chang

Graph-based semi-supervised learning is the problem of propagating labels from a small number of labelled data points to a larger set of unlabelled data. This paper is concerned with the consistency of optimization-based techniques for such…

Machine Learning · Statistics 2020-03-11 Franca Hoffmann , Bamdad Hosseini , Zhi Ren , Andrew M. Stuart

Multilayer networks provide a more comprehensive framework for exploring real-world and engineering systems than traditional single-layer networks, consisting of multiple interacting networks. However, despite significant research in…

Optimization and Control · Mathematics 2024-11-12 C. D. Rodríguez-Camargo , A. F. Urquijo-Rodríguez , E. A. Mojica-Nava

Class Incremental Learning (CIL) is challenging due to catastrophic forgetting. On top of that, Exemplar-free Class Incremental Learning is even more challenging due to forbidden access to previous task data. Recent exemplar-free CIL…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Zichong Meng , Jie Zhang , Changdi Yang , Zheng Zhan , Pu Zhao , Yanzhi Wang

Video representation learning is a vital problem for classification task. Recently, a promising unsupervised paradigm termed self-supervised learning has emerged, which explores inherent supervisory signals implied in massive data for…

Computer Vision and Pattern Recognition · Computer Science 2018-04-27 Chenrui Zhang , Yuxin Peng

The dynamics of compressible liquid-vapor flow depends sensitively on the microscale behavior at the phase boundary. We consider a sharp-interface approach, and propose a multiscale model to describe liquid-vapor flow accurately, without…

Numerical Analysis · Mathematics 2022-09-14 Jim Magiera , Christian Rohde

We present new methods for multilabel classification, relying on ensemble learning on a collection of random output graphs imposed on the multilabel and a kernel-based structured output learner as the base classifier. For ensemble learning,…

Machine Learning · Computer Science 2013-11-19 Hongyu Su , Juho Rousu

Multimodal recommendation systems integrate diverse multimodal information into the feature representations of both items and users, thereby enabling a more comprehensive modeling of user preferences. However, existing methods are hindered…

Multimedia · Computer Science 2025-01-03 Qiya Song , Jiajun Hu , Lin Xiao , Bin Sun , Xieping Gao , Shutao Li

Cross-modal alignment is an effective approach to improving visual classification. Existing studies typically enforce a one-step mapping that uses deep neural networks to project the visual features to mimic the distribution of textual…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Zixuan Li , Lei Meng , Guoqing Chao , Wei Wu , Xiaoshuo Yan , Yimeng Yang , Zhuang Qi , Xiangxu Meng

Deep supervised models have an unprecedented capacity to absorb large quantities of training data. Hence, training on many datasets becomes a method of choice towards graceful degradation in unusual scenes. Unfortunately, different datasets…

Computer Vision and Pattern Recognition · Computer Science 2021-11-03 Petra Bevandić , Marin Oršić , Ivan Grubišić , Josip Šarić , Siniša Šegvić

In this paper, a progressive learning technique for multi-class classification is proposed. This newly developed learning technique is independent of the number of class constraints and it can learn new classes while still retaining the…

Machine Learning · Computer Science 2017-01-24 Rajasekar Venkatesan , Meng Joo Er

Standard deep learning architectures used for classification generate label predictions with a projection head and softmax activation function. Although successful, these methods fail to leverage the relational information between samples…

Machine Learning · Computer Science 2025-12-10 Jason Brown , Bohan Chen , Harris Hardiman-Mostow , Jeff Calder , Andrea L. Bertozzi

In this work, a thermodynamically consistent and conservative diffuse-interface model for gas-liquid-solid multiphase flows is proposed. In this model, a novel free energy for the gas-liquid-solid multiphase flows is established according…

Fluid Dynamics · Physics 2025-04-09 Chengjie Zhan , Xi Liu , Zhenhua Chai , Baochang Shi

When processing high-dimensional datasets, a common pre-processing step is feature selection. Filter-based feature selection algorithms are not tailored to a specific classification method, but rather rank the relevance of each feature with…

Machine Learning · Computer Science 2023-03-06 Shir Friedman , Gonen Singer , Neta Rabin

Mosaic Flow is a novel domain decomposition method designed to scale physics-informed neural PDE solvers to large domains. Its unique approach leverages pre-trained networks on small domains to solve partial differential equations on large…

Machine Learning · Computer Science 2023-08-29 Arthur Feeney , Zitong Li , Ramin Bostanabad , Aparna Chandramowlishwaran
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