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Graph transformers need strong inductive biases to derive meaningful attention scores. Yet, current methods often fall short in capturing longer ranges, hierarchical structures, or community structures, which are common in various graphs…

Machine Learning · Computer Science 2024-05-28 Yuankai Luo , Hongkang Li , Lei Shi , Xiao-Ming Wu

The construction of a meaningful graph plays a crucial role in the success of many graph-based representations and algorithms for handling structured data, especially in the emerging field of graph signal processing. However, a meaningful…

Machine Learning · Computer Science 2016-02-23 Xiaowen Dong , Dorina Thanou , Pascal Frossard , Pierre Vandergheynst

We believe the error prone nature of traditional spreadsheets is due to their low level of abstraction. End user programmers are forced to construct their data models from low level cells which we define as "a data container or manipulator…

Software Engineering · Computer Science 2020-06-11 David Birch , Nicolai Stawinoga , Jack Binks , Bruno Nicoletti , Paul Kelly

Graph neural networks, which generalize deep neural network models to graph structured data, have attracted increasing attention in recent years. They usually learn node representations by transforming, propagating and aggregating node…

Machine Learning · Computer Science 2019-05-21 Yao Ma , Suhang Wang , Charu C. Aggarwal , Jiliang Tang

We present a general graph-based modeling abstraction for optimization that we call an OptiGraph. Under this abstraction, any optimization problem is treated as a hierarchical hypergraph in which nodes represent optimization subproblems and…

Optimization and Control · Mathematics 2026-05-11 Jordan Jalving , Sungho Shin , Victor M. Zavala

There has been a recent surge in transformer-based architectures for learning on graphs, mainly motivated by attention as an effective learning mechanism and the desire to supersede handcrafted operators characteristic of message passing…

Machine Learning · Computer Science 2025-06-10 David Buterez , Jon Paul Janet , Dino Oglic , Pietro Lio

Large graphs commonly appear in social networks, knowledge graphs, recommender systems, life sciences, and decision making problems. Summarizing large graphs by their high level properties is helpful in solving problems in these settings.…

Machine Learning · Statistics 2022-08-01 Elise van der Pol , Ian Gemp , Yoram Bachrach , Richard Everett

Graph signal processing (GSP) is a key tool for satisfying the growing demand for information processing over networks. However, the success of GSP in downstream learning and inference tasks is heavily dependent on the prior identification…

Signal Processing · Electrical Eng. & Systems 2021-03-29 Seyed Saman Saboksayr , Gonzalo Mateos , Mujdat Cetin

There is a vast literature on representation learning based on principles such as coding efficiency, statistical independence, causality, controllability, or symmetry. In this paper we propose to learn representations from sequence data by…

Machine Learning · Computer Science 2026-03-11 Yue Song , Thomas Anderson Keller , Yisong Yue , Pietro Perona , Max Welling

Graph are a ubiquitous data representation, as they represent a flexible and compact representation. For instance, the 3D structure of RNA can be efficiently represented as $\textit{2.5D graphs}$, graphs whose nodes are nucleotides and…

Machine Learning · Computer Science 2021-09-21 Vincent Mallet , Carlos G. Oliver , William L. Hamilton

Proposing an effective and flexible matrix to represent a graph is a fundamental challenge that has been explored from multiple perspectives, e.g., filtering in Graph Fourier Transforms. In this work, we develop a novel and general…

Machine Learning · Computer Science 2023-05-11 Mingqi Yang , Wenjie Feng , Yanming Shen , Bryan Hooi

For deep learning problems on graph-structured data, pooling layers are important for down sampling, reducing computational cost, and to minimize overfitting. We define a pooling layer, nervePool, for data structured as simplicial…

Computational Geometry · Computer Science 2025-11-17 Sarah McGuire Scullen , Ernst Röell , Elizabeth Munch , Bastian Rieck , Matthew Hirn

Geometric variations like rotation, scaling, and viewpoint changes pose a significant challenge to visual understanding. One common solution is to directly model certain intrinsic structures, e.g., using landmarks. However, it then becomes…

Machine Learning · Statistics 2020-10-13 Xiuyuan Cheng , Zichen Miao , Qiang Qiu

Bio-inspired neuromorphic cameras asynchronously record pixel brightness changes and generate sparse event streams. They can capture dynamic scenes with little motion blur and more details in extreme illumination conditions. Due to the…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Pei Zhang , Chutian Wang , Edmund Y. Lam

Understanding how information is represented in neural networks is a fundamental challenge in both neuroscience and artificial intelligence. Despite their nonlinear architectures, recent evidence suggests that neural networks encode…

Machine Learning · Computer Science 2025-03-04 David Klindt , Charles O'Neill , Patrik Reizinger , Harald Maurer , Nina Miolane

Signed graphs are equipped with both positive and negative edge weights, encoding pairwise correlations as well as anti-correlations in data. A balanced signed graph is a signed graph with no cycles containing an odd number of negative…

Machine Learning · Computer Science 2025-06-03 Haruki Yokota , Hiroshi Higashi , Yuichi Tanaka , Gene Cheung

To enable heterogeneous computing systems with autonomous programming and optimization capabilities, we propose a unified, end-to-end, programmable graph representation learning (PGL) framework that is capable of mining the complexity of…

Machine Learning · Computer Science 2022-04-27 Yao Xiao , Guixiang Ma , Nesreen K. Ahmed , Mihai Capota , Theodore Willke , Shahin Nazarian , Paul Bogdan

Graph embeddings play a critical role in graph representation learning, allowing machine learning models to explore and interpret graph-structured data. However, existing methods often rely on opaque, high-dimensional embeddings, limiting…

Machine Learning · Computer Science 2025-11-26 Astrit Tola , Funmilola Mary Taiwo , Cuneyt Gurcan Akcora , Baris Coskunuzer

Unsupervised graph representation learning aims to distill various graph information into a downstream task-agnostic dense vector embedding. However, existing graph representation learning approaches are designed mainly under the node…

Machine Learning · Computer Science 2022-03-04 You Li , Bei Lin , Binli Luo , Ning Gui

Graphs are the most ubiquitous form of structured data representation used in machine learning. They model, however, only pairwise relations between nodes and are not designed for encoding the higher-order relations found in many real-world…

Machine Learning · Computer Science 2020-10-12 Devanshu Arya , Deepak K. Gupta , Stevan Rudinac , Marcel Worring
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