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Graph-structured data arise in many scenarios. A fundamental problem is to quantify the similarities of graphs for tasks such as classification. R-convolution graph kernels are positive-semidefinite functions that decompose graphs into…

Machine Learning · Computer Science 2022-01-25 Wei Ye , Omid Askarisichani , Alex Jones , Ambuj Singh

Over the past decade, Deep Convolutional Neural Networks (DCNNs) have shown remarkable performance in most computer vision tasks. These tasks traditionally use a fixed dataset, and the model, once trained, is deployed as is. Adding new…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Deboleena Roy , Priyadarshini Panda , Kaushik Roy

Autoencoders learn data representations (codes) in such a way that the input is reproduced at the output of the network. However, it is not always clear what kind of properties of the input data need to be captured by the codes. Kernel…

Machine Learning · Statistics 2018-07-24 Michael Kampffmeyer , Sigurd Løkse , Filippo M. Bianchi , Robert Jenssen , Lorenzo Livi

Many algorithms for ranked data become computationally intractable as the number of objects grows due to the complex geometric structure induced by rankings. An additional challenge is posed by partial rankings, i.e. rankings in which the…

Machine Learning · Computer Science 2022-07-19 Michelangelo Conserva , Marc Peter Deisenroth , K S Sesh Kumar

An important goal in visual recognition is to devise image representations that are invariant to particular transformations. In this paper, we address this goal with a new type of convolutional neural network (CNN) whose invariance is…

Computer Vision and Pattern Recognition · Computer Science 2015-01-08 Julien Mairal , Piotr Koniusz , Zaid Harchaoui , Cordelia Schmid

Both biological and artificial neural networks inherently balance their performance with their operational cost, which balances their computational abilities. Typically, an efficient neuromorphic neural network is one that learns…

Neurons and Cognition · Quantitative Biology 2023-12-25 Hugo J. Ladret , Christian Casanova , Laurent Udo Perrinet

Motivated by chemical applications, we revisit and extend a family of positive definite kernels for graphs based on the detection of common subtrees, initially proposed by Ramon et al. (2003). We propose new kernels with a parameter to…

Quantitative Methods · Quantitative Biology 2016-08-16 Pierre Mahé , Jean-Philippe Vert

Understanding the context of complex and cluttered scenes is a challenging problem for semantic segmentation. However, it is difficult to model the context without prior and additional supervision because the scene's factors, such as the…

Computer Vision and Pattern Recognition · Computer Science 2021-04-06 Hiroaki Aizawa , Yukihiro Domae , Kunihito Kato

Tree-like structures, such as blood vessels, often express complexity at very fine scales, requiring high-resolution grids to adequately describe their shape. Such sparse morphology can alternately be represented by locations of centreline…

Computer Vision and Pattern Recognition · Computer Science 2018-11-09 Kerry Halupka , Rahil Garnavi , Stephen Moore

We propose a kernelized classification layer for deep networks. Although conventional deep networks introduce an abundance of nonlinearity for representation (feature) learning, they almost universally use a linear classifier on the learned…

Machine Learning · Computer Science 2021-03-22 Sadeep Jayasumana , Srikumar Ramalingam , Sanjiv Kumar

Aerial remote sensing using multispectral and RGB imagers has provided a critical impetus to precision agriculture. Analysis of the hyperspectral images with limited or no labels is challenging. This paper focuses on self-supervised…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Moqsadur Rahman , Saurav Kumar , Santosh S. Palmate , M. Shahriar Hossain

Hierarchical tree structures are common in many real-world systems, from tree roots and branches to neuronal dendrites and biologically inspired artificial neural networks, as well as in technological networks for organizing and searching…

Statistical Mechanics · Physics 2025-02-04 Davide Cipollini , Lambert Schomaker

We present in this work a new methodology to design kernels on data which is structured with smaller components, such as text, images or sequences. This methodology is a template procedure which can be applied on most kernels on measures…

Machine Learning · Computer Science 2007-05-23 Marco Cuturi , Kenji Fukumizu

Tree structured graphical models are powerful at expressing long range or hierarchical dependency among many variables, and have been widely applied in different areas of computer science and statistics. However, existing methods for…

Machine Learning · Statistics 2014-01-17 Le Song , Han Liu , Ankur Parikh , Eric Xing

Node classification in structural networks has been proven to be useful in many real world applications. With the development of network embedding, the performance of node classification has been greatly improved. However, nearly all the…

Social and Information Networks · Computer Science 2021-04-13 Jia-Nan Guo , Xian-Ling Mao , Shu-Yang Lin , Wei Wei , Heyan Huang

We continue our study from Lynch and Mallmann-Trenn (Neural Networks, 2021), of how concepts that have hierarchical structure might be represented in brain-like neural networks, how these representations might be used to recognize the…

Neural and Evolutionary Computing · Computer Science 2023-07-13 Nancy Lynch , Frederik Mallmann-Trenn

Over the past decade, deep neural networks have proven to be adept in image classification tasks, often surpassing humans in terms of accuracy. However, standard neural networks often fail to understand the concept of hierarchical…

Computer Vision and Pattern Recognition · Computer Science 2022-06-15 Amitangshu Mukherjee , Isha Garg , Kaushik Roy

Subgraph isomorphism counting is known as #P-complete and requires exponential time to find the accurate solution. Utilizing representation learning has been shown as a promising direction to represent substructures and approximate the…

Machine Learning · Computer Science 2024-05-14 Xin Liu , Weiqi Wang , Jiaxin Bai , Yangqiu Song

Context plays a crucial role in visual recognition as it provides complementary clues for different learning tasks including image classification and annotation. As the performances of these tasks are currently reaching a plateau, any extra…

Computer Vision and Pattern Recognition · Computer Science 2020-01-01 Mingyuan Jiu , Hichem Sahbi

We introduce the loss kernel, an interpretability method for measuring similarity between data points according to a trained neural network. The kernel is the covariance matrix of per-sample losses computed under a distribution of…

Machine Learning · Computer Science 2025-10-01 Maxwell Adam , Zach Furman , Jesse Hoogland