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20032026
most citedTo Infinity and Beyond: Some ODE and PDE Case Studies

12 citations · 48 across the 21 of their papers we have counts for

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Showing 2024Show all

5 papers · 1 filter

math.DS2024★ 4 cited

Gaussian Processes simplify differential equations

Jonghyeon Lee, Boumediene Hamzi, Yannis Kevrekidis +1

In this paper we use Gaussian processes (kernel methods) to learn mappings between trajectories of distinct differential equations. Our goal is to simplify both the representation…

cs.LG2024

Thinner Latent Spaces: Detecting Dimension and Imposing Invariance with Conformal Autoencoders

George A. Kevrekidis, Zan Ahmad, Mauro Maggioni +2

Conformal Autoencoders are a neural network architecture that imposes orthogonality conditions between the gradients of latent variables to obtain disentangled representations of d…

cs.LG2024

Conformal Disentanglement and Latent-Space Curation: A Neural Framework for Perspective Synthesis, Differentiation and Targeted Generation

George A. Kevrekidis, Eleni D. Koronaki, Dimitris G. Giovanis +1

Many scientific and engineering problems involve observing a common phenomenon through multiple heterogeneous sensors or measurement modalities. Such observations typically contain…

math.DS2024

Data-driven cold starting of good reservoirs

Lyudmila Grigoryeva, Boumediene Hamzi, Felix P. Kemeth +4

Using short histories of observations from a dynamical system, a workflow for the post-training initialization of reservoir computing systems is described. This strategy is called…

physics.bio-ph2024★ 1 cited

Social Physics of Bacteria: Avoidance of an Information Black Hole

Trung V. Phan, Shengkai Li, Domenic Ferreris +7

Social physics explores responses to information exchange in a social network, and can be mapped down to bacterial collective signaling. Here, we explore how social inter-bacterial…