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This work studies lung tumor growth prediction from sparse and irregular longitudinal computed tomography (CT) observations with measurement variability. A Bayesian physics-informed neural network is developed by combining Gompertz growth…

机器学习 · 计算机科学 2026-05-14 Lingfei Kong , Haoran Ma

Three different inferential problems related to a two dimensional categorical data from a Bayesian perspective have been discussed in this article. Conjugate prior distribution with symmetric and asymmetric hyper parameters are considered.…

统计理论 · 数学 2024-09-05 Samyajoy Pal , Christian Heumann , M. Subbiah

Medical image segmentation plays an important role in computer-aided diagnosis. Attention mechanisms that distinguish important parts from irrelevant parts have been widely used in medical image segmentation tasks. This paper systematically…

图像与视频处理 · 电气工程与系统科学 2023-05-30 Yutong Xie , Bing Yang , Qingbiao Guan , Jianpeng Zhang , Qi Wu , Yong Xia

A Bayesian multivariate model with a structured covariance matrix for multi-way nested data is proposed. This flexible modeling framework allows for positive and for negative associations among clustered observations, and generalizes the…

统计方法学 · 统计学 2024-08-27 Stef Baas , Richard J. Boucherie , Jean-Paul Fox

Probabilistic graphical models (PGMs) provide a compact and flexible framework to model very complex real-life phenomena. They combine the probability theory which deals with uncertainty and logical structure represented by a graph which…

机器学习 · 统计学 2023-02-01 Maryia Shpak

Calibration or parameter identification is used with computational mechanics models related to observed data of the modeled process to find model parameters such that good similarity between model prediction and observation is achieved. We…

计算工程、金融与科学 · 计算机科学 2022-12-26 Harald Willmann , Jonas Nitzler , Sebastian Brandstaeter , Wolfgang A. Wall

Accurate and reliable image segmentation is an essential part of biomedical image analysis. In this paper, we consider the problem of biomedical image segmentation using deep convolutional neural networks. We propose a new end-to-end…

计算机视觉与模式识别 · 计算机科学 2018-10-02 Amirhossein Dadashzadeh , Alireza Tavakoli Targhi

While perception tasks such as visual object recognition and text understanding play an important role in human intelligence, the subsequent tasks that involve inference, reasoning and planning require an even higher level of intelligence.…

机器学习 · 统计学 2016-09-06 Hao Wang , Dit-Yan Yeung

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…

计算机视觉与模式识别 · 计算机科学 2013-12-18 Claudia Nieuwenhuis , Daniel Cremers , Simon Hawe , Martin Kleinsteuber

Bayesian inverse problems use data to update a prior probability distribution on uncertain parameter values to a posterior distribution. Such problems arise in many structural engineering applications, but computational solution of Bayesian…

数值分析 · 数学 2026-05-26 Jakob Scheffels , Elizabeth Qian , Iason Papaioannou , Elisabeth Ullmann

We propose to learn a probabilistic motion model from a sequence of images. Besides spatio-temporal registration, our method offers to predict motion from a limited number of frames, useful for temporal super-resolution. The model is based…

计算机视觉与模式识别 · 计算机科学 2019-09-24 Julian Krebs , Tommaso Mansi , Nicholas Ayache , Hervé Delingette

For civil structures, structural damage due to severe loading events such as earthquakes, or due to long-term environmental degradation, usually occurs in localized areas of a structure. A new sparse Bayesian probabilistic framework for…

应用统计 · 统计学 2015-07-02 Yong Huang , James L. Beck

Image segmentation is a challenging task influenced by multiple sources of uncertainty, such as the data labeling process or the sampling of training data. In this paper we focus on binary segmentation and address these challenges using…

计算机视觉与模式识别 · 计算机科学 2025-03-10 Luca Mossina , Corentin Friedrich

In this work, we will investigate a Bayesian approach to estimating the parameters of long memory models. Long memory, characterized by the phenomenon of hyperbolic autocorrelation decay in time series, has garnered significant attention.…

统计方法学 · 统计学 2024-06-19 Clara Grazian

This work addresses the problem of segmentation in time series data with respect to a statistical parameter of interest in Bayesian models. It is common to assume that the parameters are distinct within each segment. As such, many Bayesian…

信号处理 · 电气工程与系统科学 2019-01-18 Alireza Ahrabian

We extend the Bayesian model fitting shape measurement method presented in Miller et al. (2007) and use the method to estimate the shear from the Shear TEsting Programme simulations (STEP). The method uses a fast model fitting algorithm…

天体物理学 · 物理学 2009-11-13 T. D. Kitching , L. Miller , C. E. Heymans , L. van Waerbeke , A. F. Heavens

We formalise and generalise the definition of the family of univariate double two--piece distributions, obtained by using a density--based transformation of unimodal symmetric continuous distributions with a shape parameter. The resulting…

统计方法学 · 统计学 2015-08-07 F. J. Rubio , M. F. J. Steel

Ultrametric matrices are a class of covariance matrices that arise in latent tree models. As a parameter space in a statistical model, the set of ultrametric matrices is neither convex nor a smooth manifold. Focus in the literature has…

统计方法学 · 统计学 2025-04-28 Tsung-Hung Yao , Zhenke Wu , Karthik Bharath , Veerabhadran Baladandayuthapani

We present a novel and effective binary representation for convex shapes. We show the equivalence between the shape convexity and some properties of the associated indicator function. The proposed method has two advantages. Firstly, the…

数值分析 · 数学 2020-02-25 Shousheng Luo , Xue-Cheng Tai , Yang Wang

A major interest in longitudinal neuroimaging studies involves investigating voxel-level neuroplasticity due to treatment and other factors across visits. However, traditional voxel-wise methods are beset with several pitfalls, which can…

神经元与认知 · 定量生物学 2023-10-19 Suprateek Kundu , Alec Reinhardt , Serena Song , Joo Han , M. Lawson Meadows , Bruce Crosson , Venkatagiri Krishnamurthy