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The Bayesian approach has become increasingly popular because it allows to model quite complex models via Markov chain Monte Carlo (MCMC) sampling. However, it is also recognized nowadays that MCMC sampling can become computationally…

Primary angle closure glaucoma (PACG) is the leading cause of irreversible blindness among Asian people. Early detection of PACG is essential, so as to provide timely treatment and minimize the vision loss. In the clinical practice, PACG is…

计算机视觉与模式识别 · 计算机科学 2020-07-21 Munan Ning , Cheng Bian , Donghuan Lu , Hong-Yu Zhou , Shuang Yu , Chenglang Yuan , Yang Guo , Yaohua Wang , Kai Ma , Yefeng Zheng

Deep learning models have gained increasing adoption in medical image analysis. However, these models often produce overconfident predictions, which can compromise clinical accuracy and reliability. Bridging the gap between high-performance…

图像与视频处理 · 电气工程与系统科学 2026-03-24 Jutika Borah , Hidam Kumarjit Singh

Bayesian inference provides a systematic framework for integration of data with mathematical models to quantify the uncertainty in the solution of the inverse problem. However, the solution of Bayesian inverse problems governed by complex…

数值分析 · 数学 2023-01-02 Ki-Tae Kim , Umberto Villa , Matthew Parno , Youssef Marzouk , Omar Ghattas , Noemi Petra

As a representative optic degenerative condition, glaucoma has been a threat to millions due to its irreversibility and severe impact on human vision fields. Mainly characterized by dimmed and blurred visions, or peripheral vision loss,…

计算机视觉与模式识别 · 计算机科学 2025-12-03 Daeyoung Kim

Opacity, or non-interference, is a property ensuring that an external observer cannot infer confidential information (the "secret") from system observations. We introduce an information-theoretic measure of opacity, which quantifies…

系统与控制 · 电气工程与系统科学 2025-11-05 Chongyang Shi , Sumukha Udupa , Michael R. Dorothy , Shuo Han , Jie Fu

In this paper we present a first non-iterative imaging method for nonlinear materials, based on Monotonicity Principle. Specifically, we deal with the inverse obstacle problem, where the aim is to retrieve a nonlinear anomaly embedded in…

In the realm of medical imaging, inverse problems aim to infer high-quality images from incomplete, noisy measurements, with the objective of minimizing expenses and risks to patients in clinical settings. The Diffusion Models have recently…

图像与视频处理 · 电气工程与系统科学 2024-04-08 Hossein Askari , Fred Roosta , Hongfu Sun

A major cause of irreversible visual impairment is angle-closure glaucoma, which can be screened through imagery from Anterior Segment Optical Coherence Tomography (AS-OCT). Previous computational diagnostic techniques address this…

计算机视觉与模式识别 · 计算机科学 2018-09-11 Huazhu Fu , Yanwu Xu , Stephen Lin , Damon Wing Kee Wong , Baskaran Mani , Meenakshi Mahesh , Tin Aung , Jiang Liu

Glaucoma is one of the major eye diseases that leads to progressive optic nerve fiber damage and irreversible blindness, afflicting millions of individuals. Glaucoma forecast is a good solution to early screening and intervention of…

计算机视觉与模式识别 · 计算机科学 2024-02-22 Xikai Yang , Jian Wu , Xi Wang , Yuchen Yuan , Ning Li Wang , Pheng-Ann Heng

We consider the estimation of average treatment effects in observational studies and propose a new framework of robust causal inference with unobserved confounders. Our approach is based on distributionally robust optimization and proceeds…

统计方法学 · 统计学 2023-02-06 Dimitris Bertsimas , Kosuke Imai , Michael Lingzhi Li

The structure of the nonlinear inverse problem arising from capillarity-driven imbibition in porous media is investigated, considering a degenerate parabolic PDE with compactly supported diffusivity and boundary-driven fluxes as the…

动力系统 · 数学 2026-04-01 Paola Stolfi , Elia Onofri , Gabriella Bretti

We consider Bayesian inference for large scale inverse problems, where computational challenges arise from the need for repeated evaluations of an expensive forward model. This renders most Markov chain Monte Carlo approaches infeasible,…

数值分析 · 数学 2022-08-12 Daniel Zhengyu Huang , Jiaoyang Huang , Sebastian Reich , Andrew M. Stuart

Inverse optimal control (IOC) is about estimating an unknown objective of interest given its optimal control sequence. However, truly optimal demonstrations are often difficult to obtain, e.g., due to human errors or inaccurate…

系统与控制 · 电气工程与系统科学 2023-12-07 Rahel Rickenbach , Anna Scampicchio , Melanie N. Zeilinger

Implicit representation of shapes as level sets of multilayer perceptrons has recently flourished in different shape analysis, compression, and reconstruction tasks. In this paper, we introduce an implicit neural representation-based…

计算机视觉与模式识别 · 计算机科学 2023-07-25 Tin Vlašić , Hieu Nguyen , AmirEhsan Khorashadizadeh , Ivan Dokmanić

Glaucoma is the leading cause of irreversible blindness in the world, affecting over 70 million people. The cumbersome Standard Automated Perimetry (SAP) test is most frequently used to detect visual loss due to glaucoma. Due to the SAP…

Glaucoma causes irreversible vision loss due to damage to the optic nerve, and there is no cure for glaucoma.OCT imaging modality is an essential technique for assessing glaucomatous damage since it aids in quantifying fundus structures. To…

计算机视觉与模式识别 · 计算机科学 2022-08-01 Huihui Fang , Fei Li , Huazhu Fu , Junde Wu , Xiulan Zhang , Yanwu Xu

A broad class of problems at the core of computational imaging, sensing, and low-level computer vision reduces to the inverse problem of extracting latent images that follow a prior distribution, from measurements taken under a known…

计算机视觉与模式识别 · 计算机科学 2018-12-20 Steven Diamond , Vincent Sitzmann , Felix Heide , Gordon Wetzstein

We propose a differentiable imaging framework to address uncertainty in measurement coordinates such as sensor locations and projection angles. We formulate the problem as measurement interpolation at unknown nodes supervised through the…

图像与视频处理 · 电气工程与系统科学 2023-12-21 Sidharth Gupta , Konik Kothari , Valentin Debarnot , Ivan Dokmanić

In this paper, first a great number of inverse problems which arise in instrumentation, in computer imaging systems and in computer vision are presented. Then a common general forward modeling for them is given and the corresponding…

数据分析、统计与概率 · 物理学 2007-05-23 Ali Mohammad-Djafari