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Next Point-of-Interest (POI) recommendation plays a crucial role in urban mobility applications. Recently, POI recommendation models based on Graph Neural Networks (GNN) have been extensively studied and achieved, however, the effective…

IR drop analysis is essential in physical chip design to ensure the power integrity of on-chip power delivery networks. Traditional Electronic Design Automation (EDA) tools have become slow and expensive as transistor density scales. Recent…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Kiran Thorat , Nicole Meng , Mostafa Karami , Caiwen Ding , Yingjie Lao , Zhijie Jerry Shi

There are many variations on partition functions for graph homomorphisms or colorings. The case considered here is a counting or hard constraint problem in which the range or color graph carries a free and vertex transitive Abelian group…

Combinatorics · Mathematics 2012-04-06 Eric Babson , Matthias Beck

The aim of the paper is to establish a certain logic corresponding to lattice effect algebras. First, we answer a natural question whether a lattice effect algebra can be represented by means of a groupoid-like structure. We establish a…

Logic · Mathematics 2018-10-15 I. Chajda , H. Länger , J. Paseka

Graph contrastive learning (GCL) is an effective paradigm for node representation learning in graphs. The key components hidden behind GCL are data augmentation and positive-negative pair selection. Typical data augmentations in GCL, such…

Machine Learning · Computer Science 2024-07-25 Jiaqiang Zhang , Songcan Chen

Grid homology for MOY graphs is immediately defined from grid homology for transverse spatial graphs developed by Harvey and O'Donnol in 2017. We studied some properties of grid homology for MOY graphs such as the oriented skein relation,…

Geometric Topology · Mathematics 2023-02-01 Hajime Kubota

In this paper we show how connections and their generalizations on transitive Lie algebroids are related to the notion of connections in the framework of the derivation-based noncommutative geometry. In order to compare the two…

Differential Geometry · Mathematics 2011-11-28 Serge Lazzarini , Thierry Masson

Human-Object Interaction (HOI) detection is a fundamental visual task aiming at localizing and recognizing interactions between humans and objects. Existing works focus on the visual and linguistic features of humans and objects. However,…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Tao He , Lianli Gao , Jingkuan Song , Yuan-Fang Li

We introduced a methodology to efficiently exploit natural-language expressed biomedical knowledge for repurposing existing drugs towards diseases for which they were not initially intended. Leveraging on developments in Computational…

Quantitative Methods · Quantitative Biology 2014-06-17 Ruggero Gramatica , T. Di Matteo , Stefano Giorgetti , Massimo Barbiani , Dorian Bevec , Tomaso Aste

Graph Neural Networks (GNNs) address two key challenges in applying deep learning to graph-structured data: they handle varying size input graphs and ensure invariance under graph isomorphism. While GNNs have demonstrated broad…

Artificial Intelligence · Computer Science 2026-02-20 Bernardo Cuenca Grau , Eva Feng , Przemysław Andrzej Wałęga

Albeit the ubiquitous use of Graph Neural Networks (GNNs) in machine learning (ML) prediction tasks involving graph-structured data, their interpretability remains challenging. In explainable artificial intelligence (XAI), the Shapley Value…

Graph neural networks (GNNs) are a powerful architecture for tackling graph learning tasks, yet have been shown to be oblivious to eminent substructures such as cycles. We present TOGL, a novel layer that incorporates global topological…

Machine Learning · Computer Science 2022-03-18 Max Horn , Edward De Brouwer , Michael Moor , Yves Moreau , Bastian Rieck , Karsten Borgwardt

Graph of Thoughts (GoT), a generalized form of recent prompting paradigms for large language models (LLMs), has been shown to be useful for elaborate problem solving. By executing a graph of operations, thoughts of the LLM are structured as…

Machine Learning · Computer Science 2026-05-22 Manuel Noah Riesen , Peter Alfred von Niederhäusern

In many ways, graphs are the main modality of data we receive from nature. This is due to the fact that most of the patterns we see, both in natural and artificial systems, are elegantly representable using the language of graph structures.…

Machine Learning · Computer Science 2023-09-06 Petar Veličković

We demonstrate a deep learning framework which is inherently based in the highly expressive language of relational logic, enabling to, among other things, capture arbitrarily complex graph structures. We show how Graph Neural Networks and…

Machine Learning · Computer Science 2020-11-09 Gustav Sourek , Filip Zelezny , Ondrej Kuzelka

The mapping class group of a surface with one boundary component admits numerous interesting representations including as a group of automorphisms of a free group and as a group of symplectic transformations. Insofar as the mapping class…

Geometric Topology · Mathematics 2009-06-01 Jorgen Ellegaard Andersen , Alex James Bene , R. C. Penner

Generalized additive models (GAMs) are favored in many regression and binary classification problems because they are able to fit complex, nonlinear functions while still remaining interpretable. In the first part of this paper, we…

Machine Learning · Computer Science 2019-06-03 Xuezhou Zhang , Sarah Tan , Paul Koch , Yin Lou , Urszula Chajewska , Rich Caruana

The expressive power of Graph Neural Networks (GNNs) has been studied extensively through the Weisfeiler-Leman (WL) graph isomorphism test. However, standard GNNs and the WL framework are inapplicable for geometric graphs embedded in…

Machine Learning · Computer Science 2024-03-05 Chaitanya K. Joshi , Cristian Bodnar , Simon V. Mathis , Taco Cohen , Pietro Liò

Probabilistic graphical models combine the graph theory and probability theory to give a multivariate statistical modeling. They provide a unified description of uncertainty using probability and complexity using the graphical model.…

Machine Learning · Statistics 2011-11-30 Yang Zhou

In recent years, powered by the learned discriminative representation via graph neural network (GNN) models, deep graph matching methods have made great progresses in the task of matching semantic features. However, these methods usually…

Computer Vision and Pattern Recognition · Computer Science 2021-11-18 He Liu , Tao Wang , Yidong Li , Congyan Lang , Yi Jin , Haibin Ling
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