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Graph kernels have recently emerged as a promising approach for tackling the graph similarity and learning tasks at the same time. In this paper, we propose a general framework for designing graph kernels. The proposed framework capitalizes…

Machine Learning · Statistics 2018-08-09 Giannis Nikolentzos , Michalis Vazirgiannis

Recent advances in self-supervised learning and neural network scaling have enabled the creation of large models, known as foundation models, which can be easily adapted to a wide range of downstream tasks. The current paradigm for…

Machine Learning · Computer Science 2024-01-09 Brandon Duderstadt , Hayden S. Helm , Carey E. Priebe

The mainstream crowd counting methods regress density map and integrate it to obtain counting results. Since the density representation to one head accords to its adjacent distribution, it embeds the same category objects with variant…

Computer Vision and Pattern Recognition · Computer Science 2022-12-06 Qi Wang , Juncheng Wang , Junyu Gao , Yuan Yuan , Xuelong Li

In this paper we propose a framework for predicting kernelized classifiers in the visual domain for categories with no training images where the knowledge comes from textual description about these categories. Through our optimization…

Computer Vision and Pattern Recognition · Computer Science 2015-06-30 Mohamed Elhoseiny , Ahmed Elgammal , Babak Saleh

We extend the notion of lossy kernelization, introduced by Lokshtanov et al. [STOC 2017], to approximate Turing kernelization. An $\alpha$-approximate Turing kernel for a parameterized optimization problem is a polynomial-time algorithm…

Data Structures and Algorithms · Computer Science 2020-04-28 Eva-Maria C. Hols , Stefan Kratsch , Astrid Pieterse

A fundamental problem on graph-structured data is that of quantifying similarity between graphs. Graph kernels are an established technique for such tasks; in particular, those based on random walks and return probabilities have proven to…

Machine Learning · Computer Science 2021-01-21 Leo Huang , Andrew Graven , David Bindel

Many kinds of data are naturally amenable to being treated as sequences. An example is text data, where a text may be seen as a sequence of words. Another example is clickstream data, where a data instance is a sequence of clicks made by a…

Machine Learning · Computer Science 2019-10-31 Abhishek Ghose

Tabular neural network (NN) has attracted remarkable attentions and its recent advances have gradually narrowed the performance gap with respect to tree-based models on many public datasets. While the mainstreams focus on calibrating NN to…

Machine Learning · Computer Science 2024-03-05 Xuan Li , Yun Wang , Bo Li

In this paper, we propose a new type of graph, denoted as "embedded-graph", and its theory, which employs a distributed representation to describe the relations on the graph edges. Embedded-graphs can express linguistic and complicated…

Discrete Mathematics · Computer Science 2017-09-15 Atsushi Yokoyama

Multi-kernel learning (MKL) has been widely used in function approximation tasks. The key problem of MKL is to combine kernels in a prescribed dictionary. Inclusion of irrelevant kernels in the dictionary can deteriorate accuracy of MKL,…

Machine Learning · Computer Science 2021-02-10 Pouya M Ghari , Yanning Shen

We present an application of mosaic diagrams to the visualisation of set relations. Venn and Euler diagrams are the best known visual representations of sets and their relationships (intersections, containment or subsets, exclusion or…

Graphics · Computer Science 2017-11-09 Saturnino Luz , Masood Masoodian

Many methods have been developed for data clustering, such as k-means, expectation maximization and algorithms based on graph theory. In this latter case, graphs are generally constructed by taking into account the Euclidian distance as a…

Data Analysis, Statistics and Probability · Physics 2011-01-27 Francisco A. Rodrigues , Guilherme Ferraz de Arruda , Luciano da Fontoura Costa

An approach based on the kernel methods for capturing the nonlinear interdependence between two signals is introduced. It is demonstrated that the proposed approach is useful for characterizing generalized synchronization with a successful…

Chaotic Dynamics · Physics 2009-11-11 Hiromichi Suetani , Yukito Iba , Kazuyuki Aihara

Representation of large data sets became a key question of many scientific disciplines in the last decade. Several approaches for network visualization, data ordering and coarse-graining accomplished this goal. However, there was no…

Physics and Society · Physics 2015-09-23 István A. Kovács , Réka Mizsei , Peter Csermely

In a standard cluster analysis, such as k-means, in addition to clusters locations and distances between them, it's important to know if they are connected or well separated from each other. The main focus of this paper is discovering the…

Machine Learning · Statistics 2017-05-22 Evgeny Bauman , Konstantin Bauman

Ranked data is commonly used in research across many fields of study including medicine, biology, psychology, and economics. One common statistic used for analyzing ranked data is Kendall's {\tau} coefficient, a non-parametric measure of…

Methodology · Statistics 2023-09-04 Nicholas D. Edwards , Enzo de Jong , Stephen T. Ferguson

Quantitative evaluations of differences and/or similarities between data samples define and shape optimisation problems associated with learning data distributions. Current methods to compare data often suffer from limitations in capturing…

Machine Learning · Computer Science 2024-01-23 Deborah Pelacani Cruz , George Strong , Oscar Bates , Carlos Cueto , Jiashun Yao , Lluis Guasch

Deep neural networks are a family of computational models that have led to a dramatical improvement of the state of the art in several domains such as image, voice or text analysis. These methods provide a framework to model complex,…

Machine Learning · Statistics 2018-02-12 Louis Falissard , Guy Fagherazzi , Newton Howard , Bruno Falissard

With the impressive capability to capture visual content, deep convolutional neural networks (CNN) have demon- strated promising performance in various vision-based ap- plications, such as classification, recognition, and objec- t…

Computer Vision and Pattern Recognition · Computer Science 2015-09-16 Zhen Liu

A main challenge in mining network-based data is finding effective ways to represent or encode graph structures so that it can be efficiently exploited by machine learning algorithms. Several methods have focused in network representation…

Social and Information Networks · Computer Science 2019-03-18 Leonardo Gutiérrez-Gómez , Jean-Charles Delvenne