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Blind deconvolution involves the estimation of a sharp signal or image given only a blurry observation. Because this problem is fundamentally ill-posed, strong priors on both the sharp image and blur kernel are required to regularize the…

Computer Vision and Pattern Recognition · Computer Science 2013-05-13 David Wipf , Haichao Zhang

We make use of a large set of fast simulations of an intensity mapping experiment with characteristics similar to those expected of the Square Kilometre Array (SKA) in order to study the viability and limits of blind foreground subtraction…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 David Alonso , Philip Bull , Pedro G. Ferreira , Mario G. Santos

Many Bayesian statistical inference problems come down to computing a maximum a-posteriori (MAP) assignment of latent variables. Yet, standard methods for estimating the MAP assignment do not have a finite time guarantee that the algorithm…

Machine Learning · Statistics 2024-10-31 Harsh Vardhan Dubey , Ji Ah Lee , Patrick Flaherty

Particle Image Velocimetry (PIV) data processing procedures are adversely affected by light reflections and backgrounds as well as defects in the models and sticky particles that occlude the inner walls of the boundaries. In this paper, a…

Computer Vision and Pattern Recognition · Computer Science 2019-08-19 Ahmadreza Baghaie

One popular approach for blind deconvolution is to formulate a maximum a posteriori (MAP) problem with sparsity priors on the gradients of the latent image, and then alternatingly estimate the blur kernel and the latent image. While several…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Sunghyun Cho , Seungyong Lee

We describe a general approach for maximum a posteriori (MAP) inference in a class of discrete-continuous factor graphs commonly encountered in robotics applications. While there are openly available tools providing flexible and easy-to-use…

Robotics · Computer Science 2022-11-21 Kevin J. Doherty , Ziqi Lu , Kurran Singh , John J. Leonard

Independent component analysis (ICA) has been used in many applications, including self-interference cancellation for in-band full-duplex wireless systems and anomaly detection in industrial internet of things. This paper presents a…

Signal Processing · Electrical Eng. & Systems 2022-05-03 Hsi-Hung Lu , Chung-An Shen , Mohammed E. Fouda , Ahmed M. Eltawil

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

Non-Gaussianity-based Independent Vector Extraction leads to the famous one-unit FastICA/FastIVA algorithm when the likelihood function is optimized using an approximate Newton-Raphson algorithm under the orthogonality constraint. In this…

Signal Processing · Electrical Eng. & Systems 2024-07-15 Zbyněk Koldovský , Jiří Málek , Jaroslav Čmejla , Stephen O'Regan

We address a blind source separation (BSS) problem in a noisy reverberant environment in which the number of microphones $M$ is greater than the number of sources of interest, and the other noise components can be approximated as stationary…

Audio and Speech Processing · Electrical Eng. & Systems 2021-04-23 Rintaro Ikeshita , Tomohiro Nakatani

A new algorithm for dynamic independent vector extraction is proposed. It is based on the mixing model where mixing parameters related to the source-of-interest (SOI) are time-variant while the separating parameters are time-invariant. A…

Signal Processing · Electrical Eng. & Systems 2021-03-02 Zbyněk Koldovský , Václav Kautský , Tomáš Kounovský , Jaroslav Čmejla

Independent component analysis (ICA) is a blind source separation method for linear disentanglement of independent latent sources from observed data. We investigate the special setting of noisy linear ICA where the observations are split…

Machine Learning · Computer Science 2023-03-06 Teodora Pandeva , Patrick Forré

A pre-trained unconditional diffusion model, combined with posterior sampling or maximum a posteriori (MAP) estimation techniques, can solve arbitrary inverse problems without task-specific training or fine-tuning. However, existing…

Machine Learning · Computer Science 2026-02-09 Sai Bharath Chandra Gutha , Ricardo Vinuesa , Hossein Azizpour

Maximum A Posteriori (MAP) estimation is a cornerstone framework for blind inverse problems, where an image and a forward operator are jointly estimated as the maximizers of a posterior distribution. In this paper, we analyze the recovery…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Minh-Hai Nguyen , Edouard Pauwels , Pierre Weiss

State estimation in robotic systems presents significant challenges, particularly due to the prevalence of multimodal posterior distributions in real-world scenarios. One effective strategy for handling such complexity is to compute maximum…

Robotics · Computer Science 2026-01-27 Min-Won Seo , Solmaz S. Kia

Independent Vector Analysis (IVA) has emerged in recent years as an extension of Independent Component Analysis (ICA) into multiple sets of mixtures, where the source signals in each set are independent, but may depend on source signals in…

Signal Processing · Electrical Eng. & Systems 2020-09-01 Amir Weiss , Arie Yeredor , Sher Ali Cheema , Martin Haardt

Traditionally, Blind Speech Separation techniques are computationally expensive as they update the demixing matrix at every time frame index, making them impractical to use in many Real-Time applications. In this paper, a robust data-driven…

Sound · Computer Science 2018-12-11 Chandan K A Reddy , Gautam Bhat , Nikhil Shankar , Issa Panahi

Generative models based on flow matching have attracted significant attention for their simplicity and superior performance in high-resolution image synthesis. By leveraging the instantaneous change-of-variables formula, one can directly…

Computer Vision and Pattern Recognition · Computer Science 2025-01-06 Yasi Zhang , Peiyu Yu , Yaxuan Zhu , Yingshan Chang , Feng Gao , Ying Nian Wu , Oscar Leong

We present a theoretical analysis of Maximum a Posteriori (MAP) sequence estimation for binary symmetric hidden Markov processes. We reduce the MAP estimation to the energy minimization of an appropriately defined Ising spin model, and…

Artificial Intelligence · Computer Science 2009-06-11 Armen Allahverdyan , Aram Galstyan

Over the past decades, numerous Image Quality Assessment (IQA) models have emerged, aiming to predict the perceptual quality of images. However, individual models are often biased toward certain types of image content or distortions,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Zhongling Wang , Raymond Zhou , Shahrukh Athar , Wenbo Yang , Zhou Wang