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This paper investigates the active sampling for estimation of approximately bandlimited graph signals. With the assistance of a graph filter, an approximately bandlimited graph signal can be formulated by a Gaussian random field over the…

Signal Processing · Electrical Eng. & Systems 2019-02-19 Sijie Lin , Xuan Xie , Hui Feng , Bo Hu

Large Language Models (LLMs) have achieved impressive performance in text understanding and have become an essential tool for building smart assistants. Originally focusing on text, they have been enhanced with multimodal capabilities in…

Software Engineering · Computer Science 2024-10-24 Aaron Haag , Vlad Argatu , Oliver Lohse

We describe an algorithm that recognizes some (perhaps all) intrinsically knotted (IK) graphs, and can help find knotless embeddings for graphs that are not IK. The algorithm, implemented as a Mathematica program, has already been used by…

Geometric Topology · Mathematics 2013-10-10 Jonathan Miller , Ramin Naimi

This paper presents a graph signal processing algorithm to uncover the intrinsic low-rank components and the underlying graph of a high-dimensional, graph-smooth and grossly-corrupted dataset. In our problem formulation, we assume that the…

Image and Video Processing · Electrical Eng. & Systems 2018-01-09 Rui Liu , Hossein Nejati , Ngai-Man Cheung

We present results from numerical studies of supervised learning operations in recurrent networks considered as graphs, leading from a given set of input conditions to predetermined outputs. Graphs that have optimized their output for…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 H. Atmanspacher , T. Filk

This paper presents a novel neural machine translation model which jointly learns translation and source-side latent graph representations of sentences. Unlike existing pipelined approaches using syntactic parsers, our end-to-end model…

Computation and Language · Computer Science 2017-07-25 Kazuma Hashimoto , Yoshimasa Tsuruoka

We consider network topology identification subject to a signal smoothness prior on the nodal observations. A fast dual-based proximal gradient algorithm is developed to efficiently tackle a strongly convex, smoothness-regularized network…

Machine Learning · Computer Science 2021-10-20 Seyed Saman Saboksayr , Gonzalo Mateos

Graph embedding algorithms are used to efficiently represent (encode) a graph in a low-dimensional continuous vector space that preserves the most important properties of the graph. One aspect that is often overlooked is whether the graph…

Machine Learning · Computer Science 2020-01-31 Zekarias T. Kefato , Nasrullah Sheikh , Alberto Montresor

Given a graph $G$, a vertex switch of $v \in V(G)$ results in a new graph where neighbors of $v$ become nonneighbors and vice versa. This operation gives rise to an equivalence relation over the set of labeled digraphs on $n$ vertices. The…

Data Structures and Algorithms · Computer Science 2014-08-22 Nathan Lindzey

We investigate graph signal reconstruction and sample selection for classification tasks. We present general theoretical characterisations of classification error applicable to multiple commonly used reconstruction methods, and compare that…

Signal Processing · Electrical Eng. & Systems 2025-09-16 Baskaran Sripathmanathan , Xiaowen Dong , Michael Bronstein

We introduce a general class of algorithms and supply a number of general results useful for analysing these algorithms when applied to regular graphs of large girth. As a result, we can transfer a number of results proved for random…

Combinatorics · Mathematics 2017-03-06 Carlos Hoppen , Nicholas Wormald

This short review aims to make the reader familiar with state-of-the-art works relating to planning, scheduling and learning. First, we study state-of-the-art planning algorithms. We give a brief introduction of neural networks. Then we…

Artificial Intelligence · Computer Science 2023-10-19 Kevin Osanlou , Christophe Guettier , Tristan Cazenave , Eric Jacopin

We consider the problem of offline, pool-based active semi-supervised learning on graphs. This problem is important when the labeled data is scarce and expensive whereas unlabeled data is easily available. The data points are represented by…

Machine Learning · Computer Science 2014-05-20 Akshay Gadde , Aamir Anis , Antonio Ortega

Sampling technique has become one of the recent research focuses in the graph-related fields. Most of the existing graph sampling algorithms tend to sample the high degree or low degree nodes in the complex networks because of the…

Social and Information Networks · Computer Science 2018-02-02 Junpeng Zhu , Hui Li , Mei Chen , Zhenyu Dai , Ming Zhu

As an emerging field, Automated Machine Learning (AutoML) aims to reduce or eliminate manual operations that require expertise in machine learning. In this paper, a graph-based architecture is employed to represent flexible combinations of…

Neural and Evolutionary Computing · Computer Science 2019-01-24 Fei Qi , Zhaohui Xia , Gaoyang Tang , Hang Yang , Yu Song , Guangrui Qian , Xiong An , Chunhuan Lin , Guangming Shi

Graph neural networks trained to predict observable dynamics can be used to decompose the temporal activity of complex heterogeneous systems into simple, interpretable representations. Here we apply this framework to simulated neural…

Neurons and Cognition · Quantitative Biology 2026-02-17 Cédric Allier , Larissa Heinrich , Magdalena Schneider , Stephan Saalfeld

Social learning algorithms provide models for the formation of opinions over social networks resulting from local reasoning and peer-to-peer exchanges. Interactions occur over an underlying graph topology, which describes the flow of…

Signal Processing · Electrical Eng. & Systems 2023-03-15 Valentina Shumovskaia , Konstantinos Ntemos , Stefan Vlaski , Ali H. Sayed

The aim of this paper is to present an algorithm which gives all the possible paths that start from a specific node to another of a weighted multi-graph. This algorithm is intended to be applied for the direct topological method.

Data Structures and Algorithms · Computer Science 2012-07-03 Abderrahmane Euldji , Abderrahim Tienti , Amine Boudghene Stambouli

In recent years, algorithms and neural architectures based on the Weisfeiler-Leman algorithm, a well-known heuristic for the graph isomorphism problem, emerged as a powerful tool for (supervised) machine learning with graphs and relational…

Machine Learning · Computer Science 2021-11-23 Christopher Morris , Matthias Fey , Nils M. Kriege

Numerous models for supervised and reinforcement learning benefit from combinations of discrete and continuous model components. End-to-end learnable discrete-continuous models are compositional, tend to generalize better, and are more…

Machine Learning · Computer Science 2023-07-27 David Friede , Mathias Niepert