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In this chapter, we address the challenge of exploring the posterior distributions of Bayesian inverse problems with computationally intensive forward models. We consider various multivariate proposal distributions, and compare them with…

Computation · Statistics 2024-05-02 Mikkel B. Lykkegaard , Colin Fox , Dave Higdon , C. Shane Reese , J. David Moulton

Bayesian networks are powerful statistical models to study the probabilistic relationships among set random variables with major applications in disease modeling and prediction. Here, we propose a continuous time Bayesian network with…

Machine Learning · Computer Science 2021-07-16 Syed Hasib Akhter Faruqui , Adel Alaeddini , Jing Wang , Carlos A. Jaramillo

In this paper, we design dynamic probabilistic caching for the scenario when the instantaneous content popularity may vary with time while it is possible to predict the average content popularity over a time window. Based on the average…

Networking and Internet Architecture · Computer Science 2020-02-18 Jie Gao , Shan Zhang , Lian Zhao , Xuemin , Shen

In wireless caching networks, a user generally has a concrete purpose of consuming contents in a certain preferred category, and requests multiple contents in sequence. While most existing research on wireless caching and delivery has…

Networking and Internet Architecture · Computer Science 2020-02-18 Minseok Choi , Andreas F. Molisch , Dong-Jun Han , Joongheon Kim , Jaekyun Moon

Using a network of cache enabled small cells, traffic during peak hours can be reduced considerably through proactively fetching the content that is most probable to be requested. In this paper, we aim at exploring the impact of proactive…

Information Theory · Computer Science 2017-11-09 Salah Eddine Hajri , Mohamad Assaad

Content-oriented operation with D2D communications and spectrum sharing in the form of cognitive communications are expected to be enablers for cost-efficient nextgeneration wireless systems with bandwidth-hungry services. To this end,…

Networking and Internet Architecture · Computer Science 2018-08-06 S. Sinem Kafıloğlu , Gürkan Gür , Fatih Alagöz

Centralized coded caching of popular contents is studied for users with heterogeneous distortion requirements, corresponding to diverse processing and display capabilities of mobile devices. Users' distortion requirements are assumed to be…

Information Theory · Computer Science 2016-04-28 Qianqian Yang , Deniz Gunduz

We consider the problem of Bayesian parameter estimation for deep neural networks, which is important in problem settings where we may have little data, and/ or where we need accurate posterior predictive densities, e.g., for applications…

Machine Learning · Computer Science 2015-11-10 Anoop Korattikara , Vivek Rathod , Kevin Murphy , Max Welling

We present a multi-fidelity method for uncertainty quantification of parameter estimates in complex systems, leveraging generative models trained to sample the target conditional distribution. In the Bayesian inference setting, traditional…

Machine Learning · Computer Science 2025-04-03 Caroline Tatsuoka , Minglei Yang , Dongbin Xiu , Guannan Zhang

Content storage at the network edge is a promising solution to mitigate the excessive traffic load due to on-demand streaming applications as well as to reduce the streaming delay. To this end, cache-enabled cellular architectures can be…

Networking and Internet Architecture · Computer Science 2019-02-26 Mehdi Salehi Heydar Abad , Emre Ozfatura , Ozgur Ercetin , Deniz Gunduz

The growth of the World Wide Web has emphasized the need for improvement in user latency. One of the techniques that are used for improving user latency is Caching and another is Web Prefetching. Approaches that bank solely on caching offer…

Networking and Internet Architecture · Computer Science 2011-02-04 Debajyoti Mukhopadhyay , Priyanka Mishra , Dwaipayan Saha , Young-Chon Kim

Model uncertainty is pervasive in real world analysis situations and is an often-neglected issue in applied statistics. However, standard approaches to the research process do not address the inherent uncertainty in model building and,…

Methodology · Statistics 2024-03-01 Mariana Nold , Florian Meinfelder , David Kaplan

We present the Bayesian consensus filter (BCF) for tracking a moving target using a networked group of sensing agents and achieving consensus on the best estimate of the probability distributions of the target's states. Our BCF framework…

Optimization and Control · Mathematics 2016-10-14 Saptarshi Bandyopadhyay , Soon-Jo Chung

This paper introduces a framework for speeding up Bayesian inference conducted in presence of large datasets. We design a Markov chain whose transition kernel uses an (unknown) fraction of (fixed size) of the available data that is randomly…

Methodology · Statistics 2018-06-01 Florian Maire , Nial Friel , Pierre Alquier

In the context of Bayesian inversion for scientific and engineering modeling, Markov chain Monte Carlo sampling strategies are the benchmark due to their flexibility and robustness in dealing with arbitrary posterior probability density…

Computation · Statistics 2021-12-07 Han Lu , Mohammad Khalil , Thomas Catanach , Jiefu Chen , Xuqing Wu , Xin Fu , Cosmin Safta , Yueqin Huang

We state and solve a problem of the optimal geographic caching of content in cellular networks, where linear combinations of contents are stored in the caches of base stations. We consider a general content popularity distribution and a…

Networking and Internet Architecture · Computer Science 2017-04-28 Jocelyne Elias , Bartłomiej Błaszczyszyn

Exponential random graph models are an important tool in the statistical analysis of data. However, Bayesian parameter estimation for these models is extremely challenging, since evaluation of the posterior distribution typically involves…

Computation · Statistics 2017-05-05 Lampros Bouranis , Nial Friel , Florian Maire

Predictive coding (PC) is an influential theory of information processing in the brain, providing a biologically plausible alternative to backpropagation. It is motivated in terms of Bayesian inference, as hidden states and parameters are…

The fifth generation wireless networks must provide fast and reliable connectivity while coping with the ongoing traffic growth. It is of paramount importance that the required resources, such as energy and bandwidth, do not scale with…

Information Theory · Computer Science 2016-11-17 Maria Gregori , Jesús Gómez-Vilardebó , Javier Matamoros , Deniz Gündüz

We study the problem of optimal content placement over a network of caches, a problem naturally arising in several networking applications, including ICNs, CDNs, and P2P systems. Given a demand of content request rates and paths followed,…

Networking and Internet Architecture · Computer Science 2016-04-13 Stratis Ioannidis , Edmund Yeh