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A generalized criterion for signature related algorithms to compute Gr\"obner basis is proposed in this paper. Signature related algorithms are a popular kind of algorithms for computing Gr\"obner basis, including the famous F5 algorithm,…

符号计算 · 计算机科学 2011-02-22 Yao Sun , Dingkang Wang

We propose a new framework for how to use sequential Monte Carlo (SMC) algorithms for inference in probabilistic graphical models (PGM). Via a sequential decomposition of the PGM we find a sequence of auxiliary distributions defined on a…

统计方法学 · 统计学 2014-10-07 Christian A. Naesseth , Fredrik Lindsten , Thomas B. Schön

We describe a unified approach to calculating the partition functions of a general multi-level system with a free Hamiltonian. Particularly, we present new results for parastatistical systems of any order in the second quantized approach.…

高能物理 - 理论 · 物理学 2009-10-30 S. Meljanac , M. Stojic , D. Svrtan

Recently Graph Neural Network (GNN) has been applied successfully to various NLP tasks that require reasoning, such as multi-hop machine reading comprehension. In this paper, we consider a novel case where reasoning is needed over graphs…

计算与语言 · 计算机科学 2020-04-13 Ming Tu , Jing Huang , Xiaodong He , Bowen Zhou

Graph convolutional neural networks (GCNs) generalize tradition convolutional neural networks (CNNs) from low-dimensional regular graphs (e.g., image) to high dimensional irregular graphs (e.g., text documents on word embeddings). Due to…

机器学习 · 计算机科学 2021-03-30 Mehrnaz Najafi , Philip S. Yu

Graph pooling is a family of operations which take graphs as input and produce shrinked graphs as output. Modern graph pooling methods are trainable and, in general inserted in Graph Neural Networks (GNNs) architectures as graph shrinking…

机器学习 · 计算机科学 2024-12-05 Yizhu Chen

Proving capacity for networks without feedback or cooperation usually involves two fundamental random coding techniques: superposition coding and binning. Although conceptually very different, these two techniques often achieve the same…

信息论 · 计算机科学 2012-02-08 Stefano Rini

To solve the problem that convolutional neural networks (CNNs) are difficult to process non-grid type relational data like graphs, Kipf et al. proposed a graph convolutional neural network (GCN). The core idea of the GCN is to perform…

机器学习 · 计算机科学 2019-04-17 Shangsheng Xie , Mingming Lu

Research on machine learning for channel estimation, especially neural network solutions for wireless communications, is attracting significant current interest. This is because conventional methods cannot meet the present demands of the…

信号处理 · 电气工程与系统科学 2022-01-26 Dianxin Luan , John Thompson

We propose two graph neural network layers for graphs with features in a Riemannian manifold. First, based on a manifold-valued graph diffusion equation, we construct a diffusion layer that can be applied to an arbitrary number of nodes and…

机器学习 · 计算机科学 2025-02-26 Martin Hanik , Gabriele Steidl , Christoph von Tycowicz

Generative Flow Networks (GFlowNets, GFNs) are a generative framework for learning unnormalized probability mass functions over discrete spaces. Since their inception, GFlowNets have proven to be useful for learning generative models in…

机器学习 · 计算机科学 2025-04-17 Lazar Atanackovic , Emmanuel Bengio

We present our ongoing work on understanding the limitations of graph convolutional networks (GCNs) as well as our work on generalizations of graph convolutions for representing more complex node attribute dependencies. Based on an analysis…

机器学习 · 计算机科学 2018-05-07 Mathias Niepert , Alberto Garcia-Duran

In this paper we introduce the Generalized Virtual Networking (GVN) concept. GVN provides a framework to influence the routing of packets based on service level information that is carried in the packets. It is based on a protocol header…

网络与互联网体系结构 · 计算机科学 2014-09-19 Stefano Salsano , Nicola Blefari-Melazzi , Francesco Lo Presti , Giuseppe Siracusano , Pier Luigi Ventre

The aim of this project is to develop a code to discover the optimal sigma value that maximum the F1 score and the optimal sigma value that maximizes the accuracy and to find out if they are the same. Four algorithms which can be used to…

系统与控制 · 电气工程与系统科学 2019-11-19 Alison Jenkins , Vinika Gupta , Mary Lenoir

We introduce MixFunn, a novel neural network architecture designed to solve differential equations with enhanced precision, interpretability, and generalization capability. The architecture comprises two key components: the mixed-function…

机器学习 · 计算机科学 2025-03-31 Tiago de Souza Farias , Gubio Gomes de Lima , Jonas Maziero , Celso Jorge Villas-Boas

We propose new Markov Chain Monte Carlo algorithms to sample probability distributions on submanifolds, which generalize previous methods by allowing the use of set-valued maps in the proposal step of the MCMC algorithms. The motivation for…

数值分析 · 数学 2021-10-07 Tony Lelièvre , Gabriel Stoltz , Wei Zhang

Machine learning provides algorithms that can learn from data and make inferences or predictions on data. Bayesian networks are a class of graphical models that allow to represent a collection of random variables and their condititional…

人工智能 · 计算机科学 2019-01-08 Robert Leppert , Karl-Heinz Zimmermann

Graph Convolutional Networks (GCNs) have been proved successful in the field of semi-supervised node classification by extracting structural information from graph data. However, the random selection of labeled nodes used by GCNs may lead…

机器学习 · 计算机科学 2023-01-12 Yao Xiao , Ji Xu , Jing Yang , Shaobo Li

Graph Convolutional Networks (GCNs) are extensively utilized for deep learning on graphs. The large data sizes of graphs and their vertex features make scalable training algorithms and distributed memory systems necessary. Since the…

机器学习 · 计算机科学 2022-12-14 Gunduz Vehbi Demirci , Aparajita Haldar , Hakan Ferhatosmanoglu

The visual feature pyramid has proven its effectiveness and efficiency in target detection tasks. Yet, current methodologies tend to overly emphasize inter-layer feature interaction, neglecting the crucial aspect of intra-layer feature…

计算机视觉与模式识别 · 计算机科学 2024-01-03 Weilin Xiao , Ming Xu , Yonggui Lin
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