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Iterative refinement -- start with a random guess, then iteratively improve the guess -- is a useful paradigm for representation learning because it offers a way to break symmetries among equally plausible explanations for the data. This…

Machine Learning · Computer Science 2023-01-03 Michael Chang , Thomas L. Griffiths , Sergey Levine

This study presents a novel mixed-precision iterative refinement algorithm, GADI-IR, within the general alternating-direction implicit (GADI) framework, designed for efficiently solving large-scale sparse linear systems. By employing…

Numerical Analysis · Mathematics 2025-03-24 Jifeng Ge , Juan Zhang

In the design process of large adaptive mirrors numerical simulations represent the first step to evaluate the system design compliance in terms of performance, stability and robustness. For the next generation of Extremely Large Telescopes…

Instrumentation and Methods for Astrophysics · Physics 2024-04-18 Bernadett Stadler , Roberto Biasi , Mauro Manetti , Andreas Obereder , Ronny Ramlau , Matteo Tintori

This paper presents an innovative approach to computational acoustic imaging of biperiodic surfaces, exploiting the capabilities of an acoustic superlens to overcome the diffraction limit. We address the challenge of imaging physical…

Analysis of PDEs · Mathematics 2026-01-05 Yuliang Wang

We present an $n$-dimensional marked bisection method for unstructured conformal meshes. We devise the method for local refinement in adaptive $n$-dimensional applications. To this end, we propose a mesh marking pre-process and three marked…

Computational Engineering, Finance, and Science · Computer Science 2022-11-17 Guillem Belda-Ferrín , Eloi Ruiz-Gironés , Abel Gargallo-Peiró , Xevi Roca

Optical imaging technologies are central to discovery in the life and physical sciences, yet their impact depends on how readily they can be built, adapted, and sustained across laboratories. Digital fabrication, including desktop 3D…

Image quality is the basis of image communication and understanding tasks. Due to the blur and noise effects caused by imaging, transmission and other processes, the image quality is degraded. Blind image restoration is widely used to…

Image and Video Processing · Electrical Eng. & Systems 2021-01-26 Ningshan Xu

Current proposed solutions for the high dimensionality of the MRF reconstruction problem rely on a linear compression step to reduce the matching computations and boost the efficiency of fast but non-scalable searching schemes such as the…

Quantitative Methods · Quantitative Biology 2018-09-10 Mohammad Golbabaee , Zhouye Chen , Yves Wiaux , Mike E. Davies

The surface figure of an x-ray mirror was improved by differential deposition of WSi$_2$ layers. DC magnetron sputtering through beam-defining apertures was applied on moving substrates to generate thin films with arbitrary longitudinal…

Applied Physics · Physics 2024-03-28 Ch. Morawe , P. Bras , S. Labouré , F. Perrin , A. Vivo

We present an efficient subpixel refinement method usinga learning-based approach called Linear Predictors. Two key ideas are shown in this paper. Firstly, we present a novel technique, called Symbolic Linear Predictors, which makes the…

Computer Vision and Pattern Recognition · Computer Science 2018-05-01 Vincent Lui , Jonathon Geeves , Winston Yii , Tom Drummond

In this study, we introduce a new approach to fabricating fiber optic microlenses using a three-electrode arc fusion splicer. Through beam propagation method-based simulations, we verified the performance of our lenses, achieving highly…

Optics · Physics 2024-12-02 Szymon Matczak , Dorota Stachowiak , Grzegorz Soboń

Meta-optics has achieved major breakthroughs in the past decade; however, conventional forward design faces challenges as functionality complexity and device size scale up. Inverse design aims at optimizing meta-optics design but has been…

Dynamic axial focusing functionality has recently experienced widespread incorporation in microscopy, augmented/virtual reality (AR/VR), adaptive optics, and material processing. However, the limitations of existing varifocal tools continue…

Point-based interactive image segmentation can ease the burden of mask annotation in applications such as semantic segmentation and image editing. However, fully extracting the target mask with limited user inputs remains challenging. We…

Computer Vision and Pattern Recognition · Computer Science 2023-12-25 Chaowei Fang , Ziyin Zhou , Junye Chen , Hanjing Su , Qingyao Wu , Guanbin Li

We propose a new image restoration model based on the minimized surface regularization. The proposed model closely relates to the classical smoothing ROF model \cite{4}. We can reformulate the proposed model as a min-max problem and solve…

Optimization and Control · Mathematics 2016-05-31 Zhi-Feng Pang , Yuping Duan

We present an improved model for MRF-based depth upsampling, guided by image- as well as 3D surface normal features. By exploiting the underlying camera model we define a novel regularization term that implicitly evaluates the planarity of…

Computational Geometry · Computer Science 2017-06-20 Sascha Wirges , Björn Roxin , Eike Rehder , Tilman Kühner , Martin Lauer

We describe an adaptive optics technique for two-photon microscopy in which the deformable mirror used for aberration compensation is positioned in a plane conjugate to the plane of the aberration. We demonstrate in a proof-of-principle…

Optics · Physics 2023-07-19 Hari P. Paudel , John Taranto , Jerome Mertz , Thomas Bifano

Micro end-milling method is a universal micro manufacturing method, which can be used to fabricating complex 3D structures and parts with many materials. But compared with their micrometer order size, their surface roughness quality is not…

Other Computer Science · Computer Science 2008-02-22 J. Wang , Y. Gong , G. Abba , Kui Chen , J. Shi , G. Cai

This paper introduces a general framework for iterative optimization algorithms and establishes under general assumptions that their convergence is asymptotically geometric. We also prove that under appropriate assumptions, the rate of…

Machine Learning · Statistics 2023-02-27 Randal Douc , Sylvain Le Corff

We suggest a simple adaptive step-size procedure, which does not require any line-search, for a general class of nonlinear optimization methods and prove convergence of a general method under mild assumptions. In particular, the goal…

Optimization and Control · Mathematics 2018-03-05 Igor Konnov