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Belief Propagation (BP) is a widely used approximation for exact probabilistic inference in graphical models, such as Markov Random Fields (MRFs). In graphs with cycles, however, no exact convergence guarantees for BP are known, in general.…

Artificial Intelligence · Computer Science 2016-12-28 Wolfgang Gatterbauer

This paper studies the theory of the additive wireless network model, in which the received signal is abstracted as an addition of the transmitted signals. Our central observation is that the crucial challenge for computing in this model is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-18 Keren Censor-Hillel , Erez Kantor , Nancy Lynch , Merav Parter

In this paper, we propose an alternative for routing based packet forwarding, which uses network coding to increase transmission efficiency, in terms of both compression and error resilience. This non-adaptive encoding is called quantized…

Information Theory · Computer Science 2012-10-04 Mahdy Nabaee , Fabrice Labeau

A concise expectation propagation (EP) based message passing algorithm (MPA) is derived for the general measurement channel. By neglecting some high-order infinitesimal terms, the EP-MPA is proven to be equivalent to the Generalized…

Information Theory · Computer Science 2019-07-11 Lei Liu , Ying Li , Chongwen Huang , Chau Yuen , Yong Liang Guan

In Bayesian networks, exact belief propagation is achieved through message passing algorithms. These algorithms (ex: inward and outward) provide only a recursive definition of the corresponding messages. In contrast, when working on hidden…

Probability · Mathematics 2012-01-24 G. Nuel

The compute-and-forward framework permits each receiver in a Gaussian network to directly decode a linear combination of the transmitted messages. The resulting linear combinations can then be employed as an end-to-end communication…

Information Theory · Computer Science 2016-11-17 Bobak Nazer , Viveck Cadambe , Vasilis Ntranos , Giuseppe Caire

We introduce a new type of graphical model that we call a "memory factor network" (MFN). We show how to use MFNs to model the structure inherent in many types of data sets. We also introduce an associated message-passing style algorithm…

Artificial Intelligence · Computer Science 2016-01-19 Patrick Eschenfeldt , Dan Schmidt , Stark Draper , Jonathan Yedidia

We propose a novel receiver for orthogonal frequency division multiplexing (OFDM) transmissions in impulsive noise environments. Impulsive noise arises in many modern wireless and wireline communication systems, such as Wi-Fi and powerline…

Information Theory · Computer Science 2015-06-16 Marcel Nassar , Philip Schniter , Brian L. Evans

Quantum stabilizer codes constructed from sparse matrices have good performance and can be efficiently decoded by belief propagation (BP). A conventional BP decoding algorithm treats binary stabilizer codes as additive codes over GF(4).…

Quantum Physics · Physics 2020-10-21 Kao-Yueh Kuo , Ching-Yi Lai

Cooperative localization (CL) is an important technology for innovative services such as location-aware communication networks, modern convenience, and public safety. We consider wireless networks with mobile agents that aim to localize…

Signal Processing · Electrical Eng. & Systems 2024-01-12 Lukas Wielandner , Erik Leitinger , Florian Meyer , Klaus Witrisal

Belief propagation is a powerful tool in statistical physics, machine learning, and modern coding theory. As a decoding method, it is ubiquitous in classical error correction and has also been applied to stabilizer-based quantum error…

Quantum Physics · Physics 2017-07-31 Joseph M. Renes

We investigate the problem of approximate Bayesian inference for a general class of observation models by means of the expectation propagation (EP) framework for large systems under some statistical assumptions. Our approach tries to…

Information Theory · Computer Science 2016-08-24 Burak Çakmak , Manfred Opper , Bernard H. Fleury , Ole Winther

In this paper, we propose a practical receiver for multicarrier signals subjected to a strong memoryless nonlinearity. The receiver design is based on a generalized approximate message passing (GAMP) framework, and this allows real-time…

Information Theory · Computer Science 2017-03-07 Sergey V. Zhidkov

This paper develops methods of distributed Bayesian hypothesis tests for fault detection and diagnosis that are based on belief propagation and optimization in graphical models. The main challenges in developing distributed statistical…

Systems and Control · Computer Science 2015-01-20 Kwang-Ki K. Kim

A common divide-and-conquer approach for Bayesian computation with big data is to partition the data, perform local inference for each piece separately, and combine the results to obtain a global posterior approximation. While being…

A novel inter-frame coding approach to the problem of varying channel-state conditions in broadcast wireless communication is developed in this paper; this problem causes the appropriate code-rate to vary across different transmitted frames…

Information Theory · Computer Science 2015-11-11 Hady Zeineddine , Mohammad M. Mansour

The max-product {belief propagation} (BP) is a popular message-passing heuristic for approximating a maximum-a-posteriori (MAP) assignment in a joint distribution represented by a graphical model (GM). In the past years, it has been shown…

Artificial Intelligence · Computer Science 2017-06-29 Sejun Park , Jinwoo Shin

This study proposes an adaptive experimental design framework for a channel-simulation-based base station (BS) design that supports the joint optimization of transmission power and placement. We consider a system in which multiple…

Networking and Internet Architecture · Computer Science 2024-10-08 Koya Sato , Katsuya Suto

We propose a Bayesian framework for the received-signal-strength-based cooperative localization problem with unknown path loss exponent. Our purpose is to infer the marginal posterior of each unknown parameter: the position or the path loss…

Signal Processing · Electrical Eng. & Systems 2020-04-22 Di Jin , Feng Yin , Carsten Fritsche , Fredrik Gustafsson , Abdelhak M. Zoubir

Belief Propagation (BP) is a simple probabilistic inference algorithm, consisting of passing messages between nodes of a graph representing a probability distribution. Its analogy with a neural network suggests that it could have…

Artificial Intelligence · Computer Science 2024-03-20 Vincent Bouttier , Renaud Jardri , Sophie Deneve