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  • Partial differential equations are typically solved on every element of a discretization basis before extracting the desired information, and each input requires one solution. In this study, a strategy is proposed to directly compute the quantities of interest, bypassing full-basis solutions and avoiding repetition over inputs.

    • Ho-Chun Lin
    • Zeyu Wang
    • Chia Wei Hsu
    ArticleOpen Access
  • Three machine learning methods are developed for discovering physically meaningful dimensionless groups and scaling parameters from data, with the Buckingham Pi theorem as a constraint.

    • Joseph Bakarji
    • Jared Callaham
    • J. Nathan Kutz
    Article
  • The indeterminacy of edge or surface energy — unknowable for low-symmetry crystals — is avoided by an algebraic system complemented with closure equations, which enables computing algorithms to predict the equilibrium shape of any crystal.

    • Luqing Wang
    • Sharmila N. Shirodkar
    • Boris I. Yakobson
    ArticleOpen Access
  • A family of lattice kinetic schemes is introduced for the simulation of relativistic flows. Taking advantage of GPU acceleration, the scheme allows one to efficiently probe both strongly and weakly interacting regimes, for massive and massless particles.

    • V. E. Ambruş
    • L. Bazzanini
    • R. Tripiccione
    Article
  • This study reports a chiral instability topography in highly deformed core–shell spheres. A core–shell model and a scaling law are developed to understand its morphoelastic mechanism, which helps the design of a nature-inspired smart topographic gripper based on chiral localization.

    • Fan Xu
    • Yangchao Huang
    • Xi-Qiao Feng
    ArticleOpen Access
  • A strategy for cooperation in repeated games, called cumulative reciprocity, is proposed. This strategy is robust with respect to errors, enforces fair outcomes, and evolves in environments that are usually hostile to cooperation.

    • Juan Li
    • Xiaowei Zhao
    • Haoxiang Xia
    Article
  • Designing efficient bike path networks requires balancing multiple constraints. In this study, a demand-driven inverse percolation approach is proposed to generate families of efficient bike path networks taking into account cyclist demand and safety preferences.

    • Christoph Steinacker
    • David-Maximilian Storch
    • Malte Schröder
    Article
  • A framework for measuring how noise in different outbreak data limits the reliability of estimates of epidemic spread is developed and used to show that death time series are rarely better than case data for inferring COVID-19 transmissibility.

    • Kris V. Parag
    • Christl A. Donnelly
    • Alexander E. Zarebski
    Article
  • This study suggests that a lack of co-location hinders the formation of ‘weak ties’—which are crucial for information spread—in communication networks on the basis of an analysis of an email network of more than 2,800 university researchers.

    • Daniel Carmody
    • Martina Mazzarello
    • Carlo Ratti
    Article
  • A spectrally accurate numerical method for solving partial differential equations (PDEs) on non-uniformly curved surfaces is developed. The method is applied to a PDE model of cell polarization to show that geometric effects allow the existence of unexpected multidomain solutions.

    • Pearson W. Miller
    • Daniel Fortunato
    • Stanislav Shvartsman
    Article
  • A dimensionality reduction framework, delayed latents across groups (DLAG), is proposed for disentangling the concurrent flow of signals between populations of neurons. DLAG reveals bidirectional communication between visual cortical areas.

    • Evren Gokcen
    • Anna I. Jasper
    • Byron M. Yu
    Article