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State-space models have been successfully used for more than fifty years in different areas of science and engineering. We present a procedure for efficient variational Bayesian learning of nonlinear state-space models based on sparse…

Machine Learning · Computer Science 2014-11-04 Roger Frigola , Yutian Chen , Carl E. Rasmussen

Quantifying spatial and/or temporal associations in multivariate geolocated data of different types is achievable via spatial random effects in a Bayesian hierarchical model, but severe computational bottlenecks arise when spatial…

Methodology · Statistics 2024-04-02 Michele Peruzzi , David B. Dunson

Bayesian learning using Gaussian processes provides a foundational framework for making decisions in a manner that balances what is known with what could be learned by gathering data. In this dissertation, we develop techniques for…

Machine Learning · Statistics 2022-04-29 Alexander Terenin

We consider the task of modeling a dependent sequence of random partitions. It is well-known that a random measure in Bayesian nonparametrics induces a distribution over random partitions. The community has therefore assumed that the best…

Methodology · Statistics 2021-08-03 Garritt L. Page , Fernando A. Quintana , David B. Dahl

Today Bayesian networks are more used in many areas of decision support and image processing. In this way, our proposed approach uses Bayesian Network to modelize the segmented image quality. This quality is calculated on a set of…

Computer Vision and Pattern Recognition · Computer Science 2015-01-23 Mohamed Ali Mahjoub , Mohamed Mhiri

Most data-driven models for medical image analysis rely on universal augmentations to improve accuracy. Experimental evidence has confirmed their effectiveness, but the unclear mechanism underlying them poses a barrier to the widespread…

Computer Vision and Pattern Recognition · Computer Science 2025-03-27 Yiqin Zhang , Qingkui Chen , Chen Huang , Zhengjie Zhang , Meiling Chen , Zhibing Fu

In this article, using kernel convolution of order based dependent Dirichlet process (Griffin and Steel (2006)) we construct a nonstationary, nonseparable, nonparametric space-time process, which, as we show, satisfies desirable properties,…

Methodology · Statistics 2020-05-04 Moumita Das , Sourabh Bhattacharya

Matrix-Assisted Laser Desorption/Ionisation Mass Spectrometry Imaging (MSI) is a powerful technique for spatially resolved molecular profiling and cancer biomarker discovery. Recent advances, including a novel multiomics workflow, enable…

Methodology · Statistics 2025-09-03 Francesco Denti , Cecilia Balocchi , Vanna Denti , Giulia Capitoli

Surrogate models have become ubiquitous in science and engineering for their capability of emulating expensive computer codes, necessary to model and investigate complex phenomena. Bayesian emulators based on Gaussian processes adequately…

Computation · Statistics 2017-08-02 A. Garbuno-Inigo , F. A. DiazDelaO , K. M. Zuev

The present paper develops a general methodology for the morphological segmentation of hyperspectral images, i.e., with an important number of channels. This approach, based on watershed, is composed of a spectral classification to obtain…

Image and Video Processing · Electrical Eng. & Systems 2020-10-05 Guillaume Noyel , Jesus Angulo , Dominique Jeulin

We propose an algorithm for segmenting natural images based on texture and color information, which leverages the co-sparse analysis model for image segmentation within a convex multilabel optimization framework. As a key ingredient of this…

Computer Vision and Pattern Recognition · Computer Science 2013-12-18 Claudia Nieuwenhuis , Daniel Cremers , Simon Hawe , Martin Kleinsteuber

3D shape abstraction has drawn great interest over the years. Apart from low-level representations such as meshes and voxels, researchers also seek to semantically abstract complex objects with basic geometric primitives. Recent deep…

Computer Vision and Pattern Recognition · Computer Science 2022-07-20 Yuwei Wu , Weixiao Liu , Sipu Ruan , Gregory S. Chirikjian

Inpainting has recently been proposed as a successful deep learning technique for unsupervised medical image model discovery. The masks used for inpainting are generally independent of the dataset and are not tailored to perform on…

Image and Video Processing · Electrical Eng. & Systems 2022-07-14 Yousef Yeganeh , Azade Farshad , Nassir Navab

Due to the difficulties of obtaining multimodal paired images in clinical practice, recent studies propose to train brain tumor segmentation models with unpaired images and capture complementary information through modality translation.…

Computer Vision and Pattern Recognition · Computer Science 2022-08-29 Zecheng Liu , Jia Wei , Rui Li

Gaussian process is a theoretically appealing model for nonparametric analysis, but its computational cumbersomeness hinders its use in large scale and the existing reduced-rank solutions are usually heuristic. In this work, we propose a…

Machine Learning · Statistics 2015-11-25 Leo L. Duan , Xia Wang , Rhonda D. Szczesniak

This paper describes a new algorithm for hyperspectral image unmixing. Most of the unmixing algorithms proposed in the literature do not take into account the possible spatial correlations between the pixels. In this work, a Bayesian model…

Methodology · Statistics 2012-09-05 Olivier Eches , Nicolas Dobigeon , Jean-Yves Tourneret

State-space models are successfully used in many areas of science, engineering and economics to model time series and dynamical systems. We present a fully Bayesian approach to inference \emph{and learning} (i.e. state estimation and system…

Machine Learning · Statistics 2013-12-18 Roger Frigola , Fredrik Lindsten , Thomas B. Schön , Carl E. Rasmussen

In this paper we consider the problem of joint segmentation of hyperspectral images in the Bayesian framework. The proposed approach is based on a Hidden Markov Modeling (HMM) of the images with common segmentation, or equivalently with…

Data Analysis, Statistics and Probability · Physics 2007-08-23 Adel Mohammadpour , Olivier Féron , Ali Mohammad-Djafari

Traditional explicit 3D representations, such as point clouds and meshes, demand significant storage to capture fine geometric details and require complex indexing systems for surface lookups, making functional representations an efficient,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Panagiotis Sapoutzoglou , George Terzakis , Georgios Floros , Maria Pateraki

In this paper, a Bayesian fusion technique for remotely sensed multi-band images is presented. The observed images are related to the high spectral and high spatial resolution image to be recovered through physical degradations, e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2014-08-27 Qi Wei , Nicolas Dobigeon , Jean-Yves Tourneret