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Mixture models are a natural choice in many applications, but it can be difficult to place an a priori upper bound on the number of components. To circumvent this, investigators are turning increasingly to Dirichlet process mixture models…

Statistics Theory · Mathematics 2018-06-22 Łukasz Rajkowski

Plug-and-Play (PnP) methods have become standard tools for solving imaging inverse problems by replacing the intractable maximum a posteriori (MAP) denoiser with the MMSE one. While this mismatch has been widely treated as unavoidable,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Kenta Vert , Giacomo Meanti , Scott Pesme , Michael Arbel , Julien Mairal

This paper investigates the transceiver design problem in a noisy-sensing noisy-transmission multi-input multi-output (MIMO) wireless sensor network. Consider a cluster-based network, where multiple sensors scattering across several…

Information Theory · Computer Science 2015-09-21 Yang Liu , Jing Li , Xuanxuan Lu

The problems regarding spectrum sensing are studied by exploiting a priori and a posteriori in information of the received noise variance. First, the traditional Average Likelihood Ratio (ALR) and the General Likelihood Ratio Test (GLRT)…

Information Theory · Computer Science 2021-02-16 Sirvan Gharib , Abolfazl Falahati , Vahid Ahmadi

Characterizing the properties of groundwater aquifers is essential for predicting aquifer response and managing groundwater resources. In this work, we develop a high-dimensional scalable Bayesian inversion framework governed by a…

Geophysics · Physics 2020-12-02 Amal Alghamdi , Marc A. Hesse , Jingyi Chen , Omar Ghattas

We consider a two sensor distributed detection system transmitting a binary non-uniform source over a Gaussian multiple access channel (MAC). We model the network via binary sensors whose outputs are generated by binary symmetric channels…

Information Theory · Computer Science 2024-02-12 Luca Sardellitti , Glen Takahara , Fady Alajaji

In this article we propose a maximal a posteriori (MAP) criterion for model selection in the motif discovery problem and investigate conditions under which the MAP asymptotically gives a correct prediction of model size. We also investigate…

Statistics Theory · Mathematics 2008-12-18 Mayetri Gupta

We present a randomized maximum a posteriori (rMAP) method for generating approximate samples of posteriors in high dimensional Bayesian inverse problems governed by large-scale forward problems. We derive the rMAP approach by: 1) casting…

Computation · Statistics 2016-02-12 Kainan Wang , Tan Bui-Thanh , Omar Ghattas

Future space observatories achieve detection of gravitational waves by interferometric measurements of a carrier phase, allowing to determine relative distance changes, in combination with an absolute distance measurement based on the…

Instrumentation and Methods for Astrophysics · Physics 2024-01-15 Philipp Euringer , Gerald Hechenblaikner , Francis Soualle , Walter Fichter

GPS receivers embedded in cell phones and connected vehicles generate a series of location measurements that can be used for various analytical purposes. A common pre-processing step of this data is the so-called map matching. The goal of…

Networking and Internet Architecture · Computer Science 2019-10-14 David Fiedler , Michal Čáp , Jan Nykl , Pavol Žilecký , Martin Schaefer

In this paper, we consider the problem of distributed parameter estimation in sensor networks. Each sensor makes successive observations of an unknown $d$-dimensional parameter, which might be subject to Gaussian random noises. The sensors…

Signal Processing · Electrical Eng. & Systems 2025-01-20 Jiaqi Yan , Hideaki Ishii

We study the large deviations performance of consensus+innovations distributed detection over noisy networks, where sensors at a time step k cooperate with immediate neighbors (consensus) and assimilate their new observations (innovation.)…

Information Theory · Computer Science 2015-05-30 Dusan Jakovetic , Jose M. F. Moura , Joao Xavier

During deployment, an object detector is expected to operate at a similar performance level reported on its testing dataset. However, when deployed onboard mobile robots that operate under varying and complex environmental conditions, the…

Computer Vision and Pattern Recognition · Computer Science 2021-03-10 Quazi Marufur Rahman , Niko Sünderhauf , Feras Dayoub

Among the many ways to model signals, a recent approach that draws considerable attention is sparse representation modeling. In this model, the signal is assumed to be generated as a random linear combination of a few atoms from a…

Computer Vision and Pattern Recognition · Computer Science 2015-05-18 Javier Turek , Irad Yavneh , Matan Protter , Michael Elad

This paper considers distributed estimation of linear systems when the state observations are corrupted with Gaussian noise of unbounded support and under possible random adversarial attacks. We consider sensors equipped with single…

Systems and Control · Electrical Eng. & Systems 2021-05-25 Mohammadreza Doostmohammadian , Themistoklis Charalambous , Miadreza Shafie-khah , Nader Meskin , Usman A. Khan

This paper considers a sequential sensor scheduling and remote estimation problem with one sensor and one estimator. The sensor makes sequential observations about the state of an underlying memoryless stochastic process and makes a…

Optimization and Control · Mathematics 2016-10-19 Xiaobin Gao , Emrah Akyol , Tamer Basar

In this paper we describe how MAP inference can be used to sample efficiently from Gibbs distributions. Specifically, we provide means for drawing either approximate or unbiased samples from Gibbs' distributions by introducing low…

Machine Learning · Computer Science 2013-10-01 Tamir Hazan , Subhransu Maji , Tommi Jaakkola

Orthogonal time frequency space (OTFS) modulation has attracted substantial attention recently due to its great potential of providing reliable communications in high-mobility scenarios. In this paper, we propose a novel hybrid signal…

Information Theory · Computer Science 2020-10-27 Shuangyang Li , Weijie Yuan , Zhiqiang Wei , Jinhong Yuan , Baoming Bai , Derrick Wing Kwan Ng , Yixuan Xie

We develop a framework that we call compressive rate estimation. We assume that the composite channel gain matrix (i.e. the matrix of all channel gains between all network nodes) is compressible which means it can be approximated by a…

Information Theory · Computer Science 2015-04-29 Jan Schreck , Peter Jung , Sławomir Stańczak

In certain applications it is useful to fit multinomial distributions to observed data with a penalty term that encourages sparsity. For example, in probabilistic latent audio source decomposition one may wish to encode the assumption that…

Sound · Computer Science 2010-09-30 Matthew D. Hoffman