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3D microscopy is key in the investigation of diverse biological systems, and the ever increasing availability of large datasets demands automatic cell identification methods that not only are accurate, but also can imply the uncertainty in…

Computer Vision and Pattern Recognition · Computer Science 2021-02-24 Alvaro Gomariz , Tiziano Portenier , César Nombela-Arrieta , Orcun Goksel

Many disciplines need quantitative models that synthesize experimental data across multiple instances of the same general system. For example, neuroscientists must combine data from the brains of many individual animals to understand the…

Machine Learning · Computer Science 2026-03-17 William E. Bishop , Luuk W. Hesselink , Bernhard Englitz , Misha B. Ahrens , James E. Fitzgerald

We demonstrate a machine learning approach designed to extract hidden chemistry/physics to facilitate new materials discovery. In particular, we propose a novel method for learning latent knowledge from material structure data in which…

Materials Science · Physics 2021-08-03 Tien-Cuong Nguyen , Van-Quyen Nguyen , Van-Linh Ngo , Quang-Khoat Than , Tien-Lam Pham

Scattering of light in complex media scrambles optical wavefronts and breaks the principles of conventional imaging methods. For decades, researchers have endeavored to conquer the problem by inventing approaches such as adaptive optics,…

Phase retrieval, the problem of recovering lost phase information from measured intensity alone, is an inverse problem that is widely faced in various imaging modalities ranging from astronomy to nanoscale imaging. The current process of…

Image and Video Processing · Electrical Eng. & Systems 2024-06-12 Henry Chan , Youssef S. G. Nashed , Saugat Kandel , Stephan Hruszkewycz , Subramanian Sankaranarayanan , Ross J. Harder , Mathew J. Cherukara

Our goal is to provide a review of deep learning methods which provide insight into structured high-dimensional data. Rather than using shallow additive architectures common to most statistical models, deep learning uses layers of…

Machine Learning · Statistics 2023-10-11 Nick Polson , Vadim Sokolov

Real-time simulation of elastic structures is essential in many applications, from computer-guided surgical interventions to interactive design in mechanical engineering. The Finite Element Method is often used as the numerical method of…

Machine Learning · Computer Science 2021-09-21 Alban Odot , Ryadh Haferssas , Stéphane Cotin

It is difficult to quantify structure-property relationships and to identify structural features of complex materials. The characterization of amorphous materials is especially challenging because their lack of long-range order makes it…

Soft Condensed Matter · Physics 2019-09-11 Kirk Swanson , Shubhendu Trivedi , Joshua Lequieu , Kyle Swanson , Risi Kondor

In this paper, we show an approach to build deep learning algorithms for recognizing signals in distributed fiber optic monitoring and security systems for long perimeters. Synthesizing such detection algorithms poses a non-trivial research…

Computer Vision and Pattern Recognition · Computer Science 2016-10-04 A. V. Makarenko

Deep learning (DL) is one of the fastest growing topics in materials data science, with rapidly emerging applications spanning atomistic, image-based, spectral, and textual data modalities. DL allows analysis of unstructured data and…

Particle filters flexibly represent multiple posterior modes nonparametrically, via a collection of weighted samples, but have classically been applied to tracking problems with known dynamics and observation likelihoods. Such generative…

Machine Learning · Computer Science 2024-04-16 Ali Younis , Erik Sudderth

Determining the dimensions of nanostructures is critical to ensuring the maximum performance of many geometry-sensitive nanoscale functional devices. However, accurate metrology at the nanoscale is difficult using optics-based methods due…

Applied Physics · Physics 2019-08-21 Jinlong Zhu , Yanan Liu , Sanyogita Purandare , Jian-Ming Jin , Shiyuan Liu , Lynford L. Goddard

Many data-driven applications in material science have been made possible because of recent breakthroughs in artificial intelligence(AI). The use of AI in material engineering is becoming more viable as the number of material data such as…

Materials Science · Physics 2022-02-07 Mohendra Roy

In recent years, machine learning has been adopted to complex networks, but most existing works concern about the structural properties. To use machine learning to detect phase transitions and accurately identify the critical transition…

Physics and Society · Physics 2020-01-08 Qi Ni , Ming Tang , Ying Liu , Ying-Cheng Lai

Reliable probability estimation is of crucial importance in many real-world applications where there is inherent (aleatoric) uncertainty. Probability-estimation models are trained on observed outcomes (e.g. whether it has rained or not, or…

Disentangled representation learning aims to uncover latent variables underlying the observed data, and generally speaking, rather strong assumptions are needed to ensure identifiability. Some approaches rely on sufficient changes on the…

Machine Learning · Computer Science 2025-03-04 Zijian Li , Shunxing Fan , Yujia Zheng , Ignavier Ng , Shaoan Xie , Guangyi Chen , Xinshuai Dong , Ruichu Cai , Kun Zhang

In this paper we develop a statistical theory and an implementation of deep learning models. We show that an elegant variable splitting scheme for the alternating direction method of multipliers optimises a deep learning objective. We allow…

Machine Learning · Statistics 2015-09-22 Nicholas G. Polson , Brandon T. Willard , Massoud Heidari

Decomposing prediction uncertainty into aleatoric (irreducible) and epistemic (reducible) components is critical for the reliable deployment of machine learning systems. While the mutual information between the response variable and model…

Machine Learning · Statistics 2026-02-10 Anchit Jain , Stephen Bates

Ptychography is a powerful imaging technique that is used in a variety of fields, including materials science, biology, and nanotechnology. However, the accuracy of the reconstructed ptychography image is highly dependent on the accuracy of…

Applied Physics · Physics 2024-06-03 Ming Du , Tao Zhou , Junjing Deng , Daniel J. Ching , Steven Henke , Mathew J. Cherukara

While the manifold hypothesis is widely adopted in modern machine learning, complex data is often better modeled as stratified spaces -- unions of manifolds (strata) of varying dimensions. Stratified learning is challenging due to varying…

Machine Learning · Statistics 2026-04-14 Randy Martinez , Rong Tang , Lizhen Lin