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This short, self-contained article seeks to introduce and survey continuous-time deep learning approaches that are based on neural ordinary differential equations (neural ODEs). It primarily targets readers familiar with ordinary and…

Machine Learning · Computer Science 2024-01-09 Lars Ruthotto

We present a novel deep learning (DL) approach to produce highly accurate predictions of macroscopic physical properties of solid solution binary alloys and magnetic systems. The major idea is to make use of the correlations between…

Computational Physics · Physics 2021-01-29 Massimiliano Lupo Pasini , Ying Wai Li , Junqi Yin , Jiaxin Zhang , Kipton Barros , Markus Eisenbach

We have developed an image-based convolutional neural network (CNN) that is applicable for quantitative time-resolved measurements of the fragmentation behavior of opaque brittle materials using ultra-high speed optical imaging. This model…

Materials Science · Physics 2024-07-19 Erwin Cazares , Brian E. Schuster

Holography has taught us that spacetime is emergent and its properties depend on the entanglement structure of the dual theory. In this paper, we describe how changes in the entanglement due to a local projective measurement (LPM) on a…

High Energy Physics - Theory · Physics 2023-01-18 Stefano Antonini , Gregory Bentsen , ChunJun Cao , Jonathan Harper , Shao-Kai Jian , Brian Swingle

Based on recent advancements in using machine learning for classical density functional theory for systems with one-dimensional, planar inhomogeneities, we propose a machine learning model for application in two dimensions (2D) akin to…

Statistical Mechanics · Physics 2025-05-22 Felix Glitsch , Jens Weimar , Martin Oettel

We study tight-binding models in the crossover from hyperbolic to Euclidean lattices, realized through the successive insertion of Euclidean defects into hyperbolic lattices. We analyze how the holographic two-point boundary correlation…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 Mireia Tolosa-Simeón , Igor Boettcher

Surface elasticity is central to understanding the mechanics and stability of surfaces and interfaces. It is characterized by quantities such as surface tension, residual surface stress, and surface stiffness, however their analytical…

Materials Science · Physics 2025-12-03 Saaketh Desai , Prasad P. Iyer , Remi Dingreville

We explore asymptotically locally anti-de Sitter spacetimes exhibiting gravitational radiative behavior, employing null gauges that allow for a well-defined flat limit. The radiative content in the bulk is captured by the boundary Cotton…

High Energy Physics - Theory · Physics 2026-05-20 Gabriel Arenas-Henriquez , Luca Ciambelli , Felipe Diaz , Weizhen Jia , David Rivera-Betancour

We introduce a method combining variational autoencoders (VAEs) and deep metric learning to perform Bayesian optimisation (BO) over high-dimensional and structured input spaces. By adapting ideas from deep metric learning, we use label…

The study of geometric extremes, where extremal dependence properties are inferred from the deterministic limiting shapes of scaled sample clouds, provides an exciting approach to modelling the extremes of multivariate data. These shapes,…

Methodology · Statistics 2024-09-16 Callum J. R. Murphy-Barltrop , Reetam Majumder , Jordan Richards

Modern single-particle-tracking techniques produce extensive time-series of diffusive motion in a wide variety of systems, from single-molecule motion in living-cells to movement ecology. The quest is to decipher the physical mechanisms…

Statistical Mechanics · Physics 2023-09-14 Henrik Seckler , Ralf Metzler

We introduce a method of reverse holography by which a bulk metric is shown to arise from locally computable multiscale correlations of a boundary quantum field theory (QFT). The metric is obtained from the Petz-R\'enyi mutual information…

In addition to describing our universe, gravitational theories profoundly inspire the study of emergent properties of exotic phases of matter. While the Anti-de Sitter/conformal field theory (AdS/CFT) correspondence is one of the most…

Strongly Correlated Electrons · Physics 2024-11-11 Alejo Costa Duran , Mauricio Sturla , Ludovic D. C. Jaubert , Han Yan

Using the tensor Radon transform and related numerical methods, we study how bulk geometries can be explicitly reconstructed from boundary entanglement entropies in the specific case of $\mathrm{AdS}_3/\mathrm{CFT}_2$. We find that, given…

High Energy Physics - Theory · Physics 2020-12-30 ChunJun Cao , Xiao-Liang Qi , Brian Swingle , Eugene Tang

We propose an algorithm which builds a concrete dual for large-radius 3d de Sitter with a timelike York boundary for both gravity and bulk effective fields. This generalizes the solvable $T\bar T+\Lambda_2$ deformation, whose finite real…

High Energy Physics - Theory · Physics 2024-10-21 Gauri Batra , G. Bruno De Luca , Eva Silverstein , Gonzalo Torroba , Sungyeon Yang

We develop a systematic method for renormalizing the AdS/CFT prescription for computing correlation functions. This involves regularizing the bulk on-shell supergravity action in a covariant way, computing all divergences, adding…

High Energy Physics - Theory · Physics 2009-10-31 Sebastian de Haro , Kostas Skenderis , Sergey N. Solodukhin

Algorithmic trading relies on extracting meaningful signals from diverse financial data sources, including candlestick charts, order statistics on put and canceled orders, traded volume data, limit order books, and news flow. While deep…

Machine Learning · Computer Science 2025-04-22 Kasymkhan Khubiev , Mikhail Semenov

We show that density models describing multiple observables with (i) hard boundaries and (ii) dependence on external parameters may be created using an auto-regressive Gaussian mixture model. The model is designed to capture how observable…

Data Analysis, Statistics and Probability · Physics 2022-02-01 Stephen B. Menary , Darren D. Price

We propose a framework to continuously learn object-centric representations for visual learning and understanding. Existing object-centric representations either rely on supervisions that individualize objects in the scene, or perform…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Chuanyu Pan , Yanchao Yang , Kaichun Mo , Yueqi Duan , Leonidas Guibas

We describe probes of anti-de Sitter spacetimes in terms of conformal field theories on the AdS boundary. Our basic tool is a formula that relates bulk and boundary states -- classical bulk field configurations are dual to expectation…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Per Kraus , Albion Lawrence , Sandip Trivedi