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A common problem in the sciences is that a signal of interest is observed only indirectly, through smooth functionals of the signal whose values are then obscured by noise. In such inverse problems, the functionals dampen or entirely…

统计方法学 · 统计学 2012-07-04 Darren Homrighausen , Christopher R. Genovese

Given the inherent class imbalance issue within student performance datasets, samples belonging to the edges of the target class distribution pose a challenge for predictive machine learning algorithms to learn. In this paper, we introduce…

机器学习 · 计算机科学 2021-01-05 Dom Huh

Inverse problems correspond to a certain type of optimization problems formulated over appropriate input distributions. Recently, there has been a growing interest in understanding the computational hardness of these optimization problems,…

机器学习 · 统计学 2018-09-03 Alex Nowak , Soledad Villar , Afonso S. Bandeira , Joan Bruna

Reconstructing the unknown spectrum of a given X-ray source is a common problem in a wide range of X-ray imaging tasks. For high-energy sources, transmission measurements are mostly used to recover the X-ray spectrum, as a solution to an…

应用物理 · 物理学 2023-07-13 Arthur Walker , Alexandre Friou , Kevin Ginsburger

We introduce a general framework for solving partial differential equations (PDEs) using generative diffusion models. In particular, we focus on the scenarios where we do not have the full knowledge of the scene necessary to apply classical…

机器学习 · 计算机科学 2024-11-04 Jiahe Huang , Guandao Yang , Zichen Wang , Jeong Joon Park

Recovering sharper images from blurred observations, referred to as deconvolution, is an ill-posed problem where classical approaches often produce unsatisfactory results. In ground-based astronomy, combining multiple exposures to achieve…

计算机视觉与模式识别 · 计算机科学 2025-10-07 Fausto Navarro , Daniel Hall , Tamas Budavari , Yashil Sukurdeep

Geophysical inversion attempts to estimate the distribution of physical properties in the Earth's interior from observations collected at or above the surface. Inverse problems are commonly posed as least-squares optimization problems in…

地球物理 · 物理学 2019-05-22 Vladimir Puzyrev

In this paper, we introduce a novel deep neural network suitable for multi-scale analysis and propose efficient model-agnostic methods that help the network extract information from high-frequency domains to reconstruct clearer images. Our…

计算机视觉与模式识别 · 计算机科学 2021-05-26 Hyungmin Roh , Myungjoo Kang

Fitting the spectral energy distributions (SEDs) of galaxies is an almost universally used technique that has matured significantly in the last decade. Model predictions and fitting procedures have improved significantly over this time,…

宇宙学与河外天体物理 · 物理学 2015-05-19 C. J. Walcher , B. Groves , T. Budavari , D. Dale

Precision in identifying nanometer-scale device-killer defects is crucial in both semiconductor research and development as well as in production processes. The effectiveness of existing ML-based approaches in this context is largely…

计算机视觉与模式识别 · 计算机科学 2024-07-16 Bappaditya Dey , Vic De Ridder , Victor Blanco , Sandip Halder , Bartel Van Waeyenberge

With the rapid development of diffusion models and flow-based generative models, there has been a surge of interests in solving noisy linear inverse problems, e.g., super-resolution, deblurring, denoising, colorization, etc, with generative…

机器学习 · 计算机科学 2024-10-22 Xiangming Meng , Yoshiyuki Kabashima

In linear inverse problems, the goal is to recover a target signal from undersampled, incomplete or noisy linear measurements. Typically, the recovery relies on complex numerical optimization methods; recent approaches perform an unfolding…

机器学习 · 计算机科学 2020-01-08 Evaggelia Tsiligianni , Nikos Deligiannis

Deep generative models provide powerful tools for distributions over complicated manifolds, such as those of natural images. But many of these methods, including generative adversarial networks (GANs), can be difficult to train, in part…

机器学习 · 统计学 2017-11-08 Akash Srivastava , Lazar Valkov , Chris Russell , Michael U. Gutmann , Charles Sutton

This paper considers the problem of utilizing a large-scale text-to-image diffusion model to tackle the challenging Inexact Segmentation (IS) task. Unlike traditional approaches that rely heavily on discriminative-model-based paradigms or…

计算机视觉与模式识别 · 计算机科学 2025-06-03 Tianjiao Zhang , Fei Zhang , Jiangchao Yao , Ya Zhang , Yanfeng Wang

Reconstructing spectral functions from propagator data is difficult as solving the analytic continuation problem or applying an inverse integral transformation are ill-conditioned problems. Recent work has proposed using neural networks to…

高能物理 - 格点 · 物理学 2022-12-26 Thibault Lechien , David Dudal

During the last decade, there has been an explosive growth in survey data and deep learning techniques, both of which have enabled great advances for astronomy. The amount of data from various surveys from multiple epochs with a wide range…

天体物理仪器与方法 · 物理学 2021-02-08 Brandon Buncher , Awshesh Nath Sharma , Matias Carrasco Kind

End-to-end deep neural networks (DNNs) have become the state-of-the-art (SOTA) for solving inverse problems. Despite their outstanding performance, during deployment, such networks are sensitive to minor variations in the testing pipeline…

计算机视觉与模式识别 · 计算机科学 2023-03-14 Rahul Mourya , João F. C. Mota

Neural network systems describe complex mappings that can be very difficult to understand. In this paper, we study the inverse problem of determining the input images that get mapped to specific neural network classes. Ultimately, we expect…

计算机视觉与模式识别 · 计算机科学 2026-03-25 Rebecca Pattichis , Sebastian Janampa , Constantinos S. Pattichis , Marios S. Pattichis

Spectral images captured by satellites and radio-telescopes are analyzed to obtain information about geological compositions distributions, distant asters as well as undersea terrain. Spectral images usually contain tens to hundreds of…

计算机视觉与模式识别 · 计算机科学 2018-02-08 Siyu Chen , Danping Liao , Yuntao Qian

Traditional physics-based approaches to infer sub-surface properties such as full-waveform inversion or reflectivity inversion are time-consuming and computationally expensive. We present a deep-learning technique that eliminates the need…