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The maximum a-posteriori (MAP) perturbation framework has emerged as a useful approach for inference and learning in high dimensional complex models. By maximizing a randomly perturbed potential function, MAP perturbations generate unbiased…

Machine Learning · Computer Science 2013-10-17 Francesco Orabona , Tamir Hazan , Anand D. Sarwate , Tommi Jaakkola

In this work, we derive the maximum a posteriori (MAP) symbol detector for a multiple-input multiple-output system in the presence of Wiener phase noise due to noisy local oscillators. As in single-antenna systems, the computation of the…

Information Theory · Computer Science 2013-12-10 Rajet Krishnan , Giulio Colavolpe , Alexandre Graell i Amat , Thomas Eriksson

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 discuss a new procedure to search for point sources in Cosmic Microwave background maps; in particular, we aim at controlling the so-called False Discovery Rate, which is defined as the expected value of false discoveries among pixels…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-01 Javier Carrón Duque , Alessandro Buzzelli , Yabebal Fantaye , Domenico Marinucci , Armin Schwartzman , Nicola Vittorio

Maximum-a-posteriori (MAP) estimation is the main Bayesian estimation methodology in imaging sciences, where high dimensionality is often addressed by using Bayesian models that are log-concave and whose posterior mode can be computed…

Statistics Theory · Mathematics 2019-01-21 Marcelo Pereyra

We consider the problem of estimating the maximum posterior probability (MAP) state sequence for a finite state and finite emission alphabet hidden Markov model (HMM) in the Bayesian setup, where both emission and transition matrices have…

Machine Learning · Statistics 2020-04-20 Alexey Koloydenko , Kristi Kuljus , Jüri Lember

We introduce an approximate search algorithm for fast maximum a posteriori probability estimation in probabilistic programs, which we call Bayesian ascent Monte Carlo (BaMC). Probabilistic programs represent probabilistic models with…

Artificial Intelligence · Computer Science 2015-04-28 David Tolpin , Frank Wood

We consider time varying MIMO fading channels with known spatial and temporal correlation and solve the problem of joint carrier frequency offset (CFO) and channel estimation with prior distributions. The maximum a posteriori probability…

Information Theory · Computer Science 2025-09-03 Ibrahim Khalife , Ali Abbasi , Zhe Feng , Mingda Zhou , Xinming Huang , Youjian Liu

Inter-symbol interference (ISI) with heteroscedastic, or state-dependent, noise is a defining feature of molecular communication via diffusion (MCvD). However, such noise variance dependency across ISI states has not been systematically…

Information Theory · Computer Science 2026-03-09 Erencem Ozbey , H. Birkan Yilmaz , Chan-Byoung Chae

In many materials systems, such as catalytic nanoparticles, the ability to characterize dynamic atomic structural changes is important for developing a more fundamental understanding of functionality. Recent developments in direct electron…

Materials Science · Physics 2020-03-31 Barnaby D. A. Levin , Ethan L. Lawrence , Peter A. Crozier

We develop a computational framework to quantify uncertainty in shear elastography imaging of anomalies in tissues. We adopt a Bayesian inference formulation. Given the observed data, a forward model and their uncertainties, we find the…

Numerical Analysis · Mathematics 2023-06-07 Ana Carpio , Elena Cebrian , Andrea Gutierrez

We consider active maximum a posteriori (MAP) inference problem for Hidden Markov Models (HMM), where, given an initial MAP estimate of the hidden sequence, we select to label certain states in the sequence to improve the estimation…

Machine Learning · Statistics 2015-09-02 Armen E. Allahverdyan , Aram Galstyan

Nowadays, modern electron microscopes deliver images at atomic scale. The precise atomic structure encodes information about material properties. Thus, an important ingredient in the image analysis is to locate the centers of the atoms…

Computer Vision and Pattern Recognition · Computer Science 2017-09-13 Benjamin Berkels , Benedikt Wirth

Any data modeling exercise has two main components: parameter estimation and model selection. The latter will be the topic of this lecture note. More concretely we will introduce several Monte-Carlo sampling-based rules for model selection…

Methodology · Statistics 2022-09-28 Petre Stoica , Xiaolei Shang , Yuanbo Cheng

Maximum a posteriori (MAP) estimation, like all Bayesian methods, depends on prior assumptions. These assumptions are often chosen to promote specific features in the recovered estimate. The form of the chosen prior determines the shape of…

Methodology · Statistics 2022-11-15 Zilai Si , Yucong Liu , Alexander Strang

Efficient symbol detection algorithms carry critical importance for achieving the spatial multiplexing gains promised by multi-input multi-output (MIMO) systems. In this paper, we consider a maximum a posteriori probability (MAP) based…

Information Theory · Computer Science 2017-10-04 Yavuz Yapici , Ismail Guvenc , Yuichi Kakishima

We propose a data-driven algorithm for the maximum a posteriori (MAP) estimation of stochastic processes from noisy observations. The primary statistical properties of the sought signal is specified by the penalty function (i.e., negative…

Machine Learning · Computer Science 2018-02-14 Ha Q. Nguyen , Emrah Bostan , Michael Unser

For large model spaces, the potential entrapment of Markov chain Monte Carlo (MCMC) based methods with spike-and-slab priors poses significant challenges in posterior computation in regression models. On the other hand, maximum a posteriori…

Methodology · Statistics 2026-02-25 Shamriddha De , Joyee Ghosh

In this paper, we solve the optimal target detection problem employing the thoughts and methodologies of Shannon's information theory. Introducing a target state variable into a general radar system model, an equivalent detection channel is…

Information Theory · Computer Science 2024-01-05 Dazhuan Xu , Nan Wang , Han Zhang , Xiaolong Kong

This paper presents an approach for automatic detection of Munro's Microabscess in stratum corneum (SC) of human skin biopsy in order to realize a machine assisted diagnosis of Psoriasis. The challenge of detecting neutrophils in presence…

Computer Vision and Pattern Recognition · Computer Science 2018-08-22 Anabik Pal , Akshay Chaturvedi , Utpal Garain , Aditi Chandra , Raghunath Chatterjee , Swapan Senapati