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There has been an increasing interest in developing efficient immersed boundary method (IBM) based on Cartesian grids, recently in the context of high-order methods. IBM based on volume penalization is a robust and easy to implement method…

Numerical Analysis · Mathematics 2021-07-22 Jiaqing Kou , Esteban Ferrer

Bayesian inference has become an important tool to solve inverse problems and to quantify uncertainties in their solutions. Variational inference is a method that provides probabilistic, Bayesian solutions efficiently by using optimization.…

Geophysics · Physics 2025-10-15 Xin Zhang , Andrew Curtis

Generative modeling of 3D brain MRIs presents difficulties in achieving high visual fidelity while ensuring sufficient coverage of the data distribution. In this work, we propose to address this challenge with composable, multiscale…

Image and Video Processing · Electrical Eng. & Systems 2023-01-12 Jaivardhan Kapoor , Jakob H. Macke , Christian F. Baumgartner

Our visual perception of our surroundings is ultimately limited by the diffraction limit, which stipulates that optical information smaller than roughly half the illumination wavelength is not retrievable. Over the past decades, many…

In this paper, we explore the use of a variational autoencoder (VAE), a deep generative model, to compress and generate images of dark matter density fields from $\Lambda$CDM like cosmological simulations. The VAE learns a compact,…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-25 Jazhiel Chacón-Lavanderos , Isidro Gómez-Vargas , Ricardo Menchaca-Mendez , J. Alberto Vázquez

Inverse design has revolutionized the field of photonics, enabling automated development of complex structures and geometries with unique functionalities unmatched by classical design. However, the use of inverse design in nonlinear…

Metasurfaces is an emerging field that enables the manipulation of light by an ultra-thin structure composed of sub-wavelength antennae and fulfills an important requirement for miniaturized optical elements. Finding a new design for a…

This paper is concerned with a lesser-studied problem in the context of model-based, uncertainty quantification (UQ), that of optimization/design/control under uncertainty. The solution of such problems is hindered not only by the usual…

Computation · Statistics 2016-02-17 Phaedon-Stelios Koutsourelakis

Single-photon avalanche detectors (SPADs) have enabled various applications in emerging photonic quantum information technologies in recent years. However, despite many efforts to improve SPAD's performance, the design of SPADs remained…

Applied Physics · Physics 2025-02-27 Boyang Zhang , Zhe Li , Zhongju Wang , Yang Yu , Hark Hoe Tan , Chennupati Jagadish , Daoyi Dong , Lan Fu

Variational Autoencoders (VAE) and their variants have been widely used in a variety of applications, such as dialog generation, image generation and disentangled representation learning. However, the existing VAE models have some…

Machine Learning · Computer Science 2020-06-23 Huajie Shao , Shuochao Yao , Dachun Sun , Aston Zhang , Shengzhong Liu , Dongxin Liu , Jun Wang , Tarek Abdelzaher

Inverse design problems are common in engineering and materials science. The forward direction, i.e., computing output quantities from design parameters, typically requires running a numerical simulation, such as a FEM, as an intermediate…

Machine Learning · Computer Science 2026-02-18 Jens U. Kreber , Christian Weißenfels , Joerg Stueckler

In this paper, we demonstrate a computationally efficient new approach based on deep learning (DL) techniques for analysis, design, and optimization of electromagnetic (EM) nanostructures. We use the strong correlation among features of a…

Machine Learning · Computer Science 2020-02-13 Yashar Kiarashinejad , Sajjad Abdollahramezani , Ali Adibi

In recent years, the field of machine learning has made phenomenal progress in the pursuit of simulating real-world data generation processes. One notable example of such success is the variational autoencoder (VAE). In this work, with a…

Machine Learning · Statistics 2021-12-30 Hwan Goh , Sheroze Sheriffdeen , Jonathan Wittmer , Tan Bui-Thanh

In the field of magnonics, which uses magnons, the quanta of spin waves, for energy-efficient data processing, significant progress has been made leveraging the capabilities of the inverse design concept. This approach involves defining a…

Arrays of wavelength scale scatterers are a promising platform for designing optical elements with a compact footprint. The large number of degrees of freedom in this system allows for unique and plentiful functionalities. However, the many…

Optics · Physics 2018-06-27 Alan Zhan , Taylor K. Fryett , Shane Colburn , Arka Majumdar

The inverse design of metamaterial architectures presents a significant challenge, particularly for nonlinear mechanical properties involving large deformations, buckling, contact, and plasticity. Traditional methods, such as gradient-based…

Computational Physics · Physics 2025-05-29 Qibang Liu , Seid Koric , Diab Abueidda , Hadi Meidani , Philippe Geubelle

Recently, an open geometry Fourier modal method based on a new combination of an open boundary condition and a non-uniform $k$-space discretization was introduced for rotationally symmetric structures providing a more efficient approach for…

As standard microelectronic technology approaches fundamental limitations in speed and power consumption, novel computing strategies are strongly needed. Analog optical computing enables processing large amounts of data at a negligible…

Recent advances in Latent Video Diffusion Models (LVDMs) have revolutionized video generation by leveraging Video Variational Autoencoders (Video VAEs) to compress intricate video data into a compact latent space. However, as LVDM training…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Yu Cheng , Fajie Yuan

We present an all-dielectric metadevice platform realized by combining an inverse electromagnetic design computational method with additive manufacturing. As opposed to conventional flat metasurface based devices that are composed of…

Applied Physics · Physics 2017-06-27 Francois Callewaert , Vesselin Velev , Alan V. Sahakian , Prem Kumar , Koray Aydin
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