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This paper considers a low-complexity Gaussian Message Passing (GMP) scheme for a coded massive Multiple-Input Multiple-Output (MIMO) systems with Non-Orthogonal Multiple Access (massive MIMO-NOMA), in which a base station with $N_s$…

Information Theory · Computer Science 2018-10-26 Lei Liu , Chau Yuen , Yong Liang Guan , Ying Li , Chongwen Huang

We consider the problem of recovering an unknown signal ${\mathbf x}\in {\mathbb R}^n$ from general nonlinear measurements obtained through a generalized linear model (GLM), i.e., ${\mathbf y}= f\left({\mathbf A}{\mathbf x}+{\mathbf…

Information Theory · Computer Science 2022-10-18 Jiang Zhu , Xiangming Meng , Xupeng Lei , Qinghua Guo

The surge in demand for efficient radio resource management has necessitated the development of sophisticated yet compact neural network architectures. In this paper, we introduce a novel approach to Graph Neural Networks (GNNs) tailored…

Machine Learning · Computer Science 2024-03-29 Ahmad Ghasemi , Hossein Pishro-Nik

The paper presents a solution to the problem of universal representation of graphs exemplifying communication network topologies with the help of neural networks. The proposed approach is based on message-passing neural networks (MPNN). The…

Networking and Internet Architecture · Computer Science 2019-04-15 Krzysztof Rusek , Piotr Chołda

We propose an efficient algorithm for solving group synchronization under high levels of corruption and noise, while we focus on rotation synchronization. We first describe our recent theoretically guaranteed message passing algorithm that…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Yunpeng Shi , Gilad Lerman

While epidemiological modeling is pivotal for informing public health strategies, a fundamental trade-off limits its predictive fidelity: exact stochastic simulations are often computationally intractable for large-scale systems, whereas…

Statistical Mechanics · Physics 2026-02-09 Cheng Ye , Zi-Song Shen , Pan Zhang

Subgraph-wise sampling -- a promising class of mini-batch training techniques for graph neural networks (GNNs -- is critical for real-world applications. During the message passing (MP) in GNNs, subgraph-wise sampling methods discard…

Machine Learning · Computer Science 2024-08-22 Jie Wang , Zhihao Shi , Xize Liang , Defu Lian , Shuiwang Ji , Bin Li , Enhong Chen , Feng Wu

We introduce Tree-AMP, standing for Tree Approximate Message Passing, a python package for compositional inference in high-dimensional tree-structured models. The package provides a unifying framework to study several approximate message…

Machine Learning · Statistics 2023-04-19 Antoine Baker , Benjamin Aubin , Florent Krzakala , Lenka Zdeborová

Parsing sentences to linguistically-expressive semantic representations is a key goal of Natural Language Processing. Yet statistical parsing has focused almost exclusively on bilexical dependencies or domain-specific logical forms. We…

Computation and Language · Computer Science 2017-07-28 Jan Buys , Phil Blunsom

Our study proposes a novel embedding method, Wide-Value-Embeddings (WVEmbs), for processing Pulse Descriptor Words (PDWs) as normalized inputs to neural networks. This method adapts to the distribution of interleaved radar signals, ranking…

Signal Processing · Electrical Eng. & Systems 2025-03-19 Xianan Hu , Fu Li , Kairui Niu , Peihan Qi , Zhiyong Liang

Probabilistic message-passing algorithms are developed for routing transmissions in multi-wavelength optical communication networks, under node and edge-disjoint routing constraints and for various objective functions. Global routing…

Physics and Society · Physics 2022-04-25 Yi-Zhi Xu , Ho Fai Po , Chi Ho Yeung , David Saad

Message-passing (MP) is a powerful tool for finding an approximate solution in optimization. We generalize it to nonlinear product-sum form, and numerically show the fast convergence for the minimum feedback vertex set and the minimum…

Physics and Society · Physics 2024-04-03 Yukio Hayashi

Graph neural networks (GNNs) have become pivotal tools for processing graph-structured data, leveraging the message passing scheme as their core mechanism. However, traditional GNNs often grapple with issues such as instability,…

Spectral Theory · Mathematics 2026-05-20 Yuanhong Jiang , Dongmian Zou , Xiaoqun Zhang , Yu Guang Wang

Efficiently finding the maximum a posteriori (MAP) configuration of a graphical model is an important problem which is often implemented using message passing algorithms. The optimality of such algorithms is only well established for…

Artificial Intelligence · Computer Science 2012-05-14 Tony S. Jebara

Gaussian Process (GP) formulation of continuoustime trajectory offers a fast solution to the motion planning problem via probabilistic inference on factor graph. However, often the solution converges to in-feasible local minima and the…

Robotics · Computer Science 2022-03-08 Salman Bari , Volker Gabler , Dirk Wollherr

We consider communication-efficient weighted and unweighted (uniform) random sampling from distributed data streams presented as a sequence of mini-batches of items. This is a natural model for distributed streaming computation, and our…

Data Structures and Algorithms · Computer Science 2020-02-26 Lorenz Hübschle-Schneider , Peter Sanders

We present a message-passing algorithm to solve the edge disjoint path problem (EDP) on graphs incorporating under a unique framework both traffic optimization and path length minimization. The min-sum equations for this problem present an…

Disordered Systems and Neural Networks · Physics 2016-01-21 Fabrizio Altarelli , Alfredo Braunstein , Luca Dall'Asta , Caterina De Bacco , Silvio Franz

Graph coarsening aims to reduce the size of a large graph while preserving some of its key properties, which has been used in many applications to reduce computational load and memory footprint. For instance, in graph machine learning,…

Machine Learning · Computer Science 2024-05-29 Antonin Joly , Nicolas Keriven

This paper introduces a new framework of fast and efficient sensing matrices for practical compressive sensing, called Structurally Random Matrix (SRM). In the proposed framework, we pre-randomize a sensing signal by scrambling its samples…

Information Theory · Computer Science 2015-05-28 Thong T. Do , Lu Gan , Nam H. Nguyen , Trac D. Tran

Recursive reasoning models such as Hierarchical Reasoning Model (HRM) and Tiny Recursive Model (TRM) show that small, weight-shared networks can solve compute-heavy and NP puzzles by iteratively refining latent states, but their training…

Artificial Intelligence · Computer Science 2026-03-18 Navid Hakimi