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Machine learning on graph structured data has attracted much research interest due to its ubiquity in real world data. However, how to efficiently represent graph data in a general way is still an open problem. Traditional methods use…

机器学习 · 计算机科学 2019-11-14 Jiaqi Ma , Qiaozhu Mei

Numerous important problems can be framed as learning from graph data. We propose a framework for learning convolutional neural networks for arbitrary graphs. These graphs may be undirected, directed, and with both discrete and continuous…

机器学习 · 计算机科学 2016-06-09 Mathias Niepert , Mohamed Ahmed , Konstantin Kutzkov

Recent advances in graph convolutional networks have significantly improved the performance of chemical predictions, raising a new research question: "how do we explain the predictions of graph convolutional networks?" A possible approach…

Biological systems and processes are networks of complex nonlinear regulatory interactions between nucleic acids, proteins, and metabolites. A natural way in which to represent these interaction networks is through the use of a graph. In…

分子网络 · 定量生物学 2023-01-04 Jacob Rast

We consider the problem of classifying graphs using graph kernels. We define a new graph kernel, called the generalized shortest path kernel, based on the number and length of shortest paths between nodes. For our example classification…

数据结构与算法 · 计算机科学 2015-11-20 Linus Hermansson , Fredrik D. Johansson , Osamu Watanabe

Biological and cellular systems are often modeled as graphs in which vertices represent objects of interest (genes, proteins, drugs) and edges represent relational ties among these objects (binds-to, interacts-with, regulates). This…

机器学习 · 统计学 2017-03-16 Jose Lugo-Martinez , Predrag Radivojac

Frequent and structurally related subgraphs, also known as network motifs, are valuable features of many graph datasets. However, the high computational complexity of identifying motif sets in arbitrary datasets (motif mining) has limited…

机器学习 · 计算机科学 2022-06-08 Carlos Oliver , Dexiong Chen , Vincent Mallet , Pericles Philippopoulos , Karsten Borgwardt

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,…

机器学习 · 计算机科学 2021-02-10 Pouya M Ghari , Yanning Shen

Numerous social, medical, engineering and biological challenges can be framed as graph-based learning tasks. Here, we propose a new feature based approach to network classification. We show how dynamics on a network can be useful to reveal…

机器学习 · 统计学 2017-06-01 Leonardo Gutierrez Gomez , Benjamin Chiem , Jean-Charles Delvenne

Predicating macroscopic influences of drugs on human body, like efficacy and toxicity, is a central problem of small-molecule based drug discovery. Molecules can be represented as an undirected graph, and we can utilize graph convolution…

机器学习 · 计算机科学 2017-09-19 Junying Li , Deng Cai , Xiaofei He

Gene expression data is widely used in disease analysis and cancer diagnosis. However, since gene expression data could contain thousands of genes simultaneously, successful microarray classification is rather difficult. Feature selection…

机器学习 · 计算机科学 2016-12-28 Li-Yeh Chuang , Chao-Hsuan Ke , Cheng-Hong Yang

In deep neural networks, better results can often be obtained by increasing the complexity of previously developed basic models. However, it is unclear whether there is a way to boost performance by decreasing the complexity of such models.…

机器学习 · 计算机科学 2022-06-07 Junran Wu , Shangzhe Li , Jianhao Li , Yicheng Pan , Ke Xu

Graphs and networks are common ways of depicting biological information. In biology, many different biological processes are represented by graphs, such as regulatory networks, metabolic pathways and protein--protein interaction networks.…

应用统计 · 统计学 2010-11-16 Caiyan Li , Hongzhe Li

A subgraph is constructed by using a subset of vertices and edges of a given graph. There exist many graph properties that are hereditary for subgraphs. Hence, researchers from different communities have paid a great deal of attention in…

组合数学 · 数学 2023-06-06 Kai Siong Yow , Ningyi Liao , Siqiang Luo , Reynold Cheng , Chenhao Ma , Xiaolin Han

Recent genomic and bioinformatic advances have motivated the development of numerous random network models purporting to describe graphs of biological, technological, and sociological origin. The success of a model has been evaluated by how…

We study the challenges of applying deep learning to gene expression data. We find experimentally that there exists non-linear signal in the data, however is it not discovered automatically given the noise and low numbers of samples used in…

基因组学 · 定量生物学 2018-06-20 Francis Dutil , Joseph Paul Cohen , Martin Weiss , Georgy Derevyanko , Yoshua Bengio

Connectivity networks have recently become widely used in biology due to increasing amounts of information on the physical and functional links between individual proteins. This connectivity data provides valuable material for expanding our…

基因组学 · 定量生物学 2013-02-15 O. V. Valba , S. K. Nechaev , O. Vasieva

Microarray gene expression data are analyzed by means of a Bayesian nonparametric model, with emphasis on prediction of future observables, yielding a method for selection of differentially expressed genes and a classifier.

统计方法学 · 统计学 2022-03-09 Paulo C. Marques F. , Carlos A. de B. Pereira

We study the problem of graph structure identification, i.e., of recovering the graph of dependencies among time series. We model these time series data as components of the state of linear stochastic networked dynamical systems. We assume…

机器学习 · 计算机科学 2023-06-29 Sérgio Machado , Anirudh Sridhar , Paulo Gil , Jorge Henriques , José M. F. Moura , Augusto Santos

We show how a graph algorithm for finding matching labeled paths in pairs of labeled directed graphs can be used to perform model validation for a class of dynamical systems including regulatory network models of relevance to systems…

动力系统 · 数学 2017-06-15 Bree Cummins , Tomas Gedeon , Shaun Harker , Konstantin Mischaikow