More Like this

1. SNNOpt: An Application-Specific Design Framework for Spiking Neural Networks

   https://doi.org/10.1109/AICAS57966.2023.10168605  

   He, Jingyu; Shen, Ziyang; Tian, Fengshi; Chen, Jinbo; Yang, Jie; Sawan, Mohamad; Cheng, Tim; Bogdan, Paul; Tsui, Chi-Ying (June 2023, 2023 IEEE 5th International Conference on Artificial Intelligence Circuits and Systems (AICAS))

   We propose a systematic application-specific hardware design methodology for designing Spiking Neural Network (SNN), SNNOpt, which consists of three novel phases: 1) an Olliver-Ricci-Curvature (ORC)-based architecture-aware network partitioning, 2) a reinforcement learning mapping strategy, and 3) a Bayesian optimization algorithm for NoC design space exploration. Experimental results show that SNNOpt achieves a 47.45% less runtime and 58.64% energy savings over state-of-the-art approaches. 

   more » « less
2. A generalization of Geroch's conjecture

   https://doi.org/10.1002/cpa.22137  

   Brendle, Simon; Hirsch, Sven; Johne, Florian (January 2024, Communications on Pure and Applied Mathematics)

   Abstract The Theorem of Bonnet–Myers implies that manifolds with topology do not admit a metric of positive Ricci curvature, while the resolution of Geroch's conjecture implies that the torus does not admit a metric of positive scalar curvature. In this work we introduce a new notion of curvature interpolating between Ricci and scalar curvature (so‐calledm‐intermediate curvature), and use stable weighted slicings to show that for and the manifolds do not admit a metric of positivem‐intermediate curvature. 

   more » « less
3. Effective repulsive interaction between Janus polymer-grafted nanoparticles adhering to lipid vesicles

   https://doi.org/10.1063/5.0249522  

   Darling, Jordan F; Sharma, Abash; Zhu, Yu; Spangler, Eric J; Laradji, Mohamed (January 2025, The Journal of Chemical Physics)

   The adhesion of nanoparticles to lipid vesicles causes curvature deformations to the membrane to an extent determined by the competition between the adhesive interaction and the membrane’s elasticity. These deformations can extend over length scales larger than the size of a nanoparticle, leading to an effective membrane-curvature-mediated interaction between nanoparticles. Nanoparticles with uniform surfaces tend to aggregate into unidimensionally close-packed clusters at moderate adhesion strengths and endocytose at high adhesion strengths. Here, we show that the suppression of close-packed clustering and endocytosis can be achieved by the surface modification of the nanoparticles into Janus particles where a moiety of their surface is grafted with polymers under a good solvent condition. The osmotic pressure of the polymer brushes prevents membrane wrapping of the nanoparticles’ moieties that are grafted with polymers, thus suppressing their endocytosis. Furthermore, a repulsion between polymer brushes belonging to two nearby nanoparticles destabilizes the dimerization of the nanoparticles over a wide range of values of the polymers’ molecular weight and grafting density. This surface modification of nanoparticles should allow for reliable, non-close-packed, and tunable self-assemblies of nanoparticles. 

   more » « less
4. The Splitting Theorem and topology of noncompact spaces with nonnegative N-Bakry Émery Ricci curvature

   https://doi.org/10.1090/proc/15240  

   Lim, Alice (August 2021, Proceedings of the American Mathematical Society)

   In this paper, we generalize topological results known for noncompact manifolds with nonnegative Ricci curvature to spaces with nonnegative N N -Bakry Émery Ricci curvature. We study the Splitting Theorem and a property called the geodesic loops to infinity property in relation to spaces with nonnegative N N -Bakry Émery Ricci curvature. In addition, we show that if M n M^n is a complete, noncompact Riemannian manifold with nonnegative N N -Bakry Émery Ricci curvature where N > n N>n , then H n − 1 ( M , Z ) H_{n-1}(M,\mathbb {Z}) is 0 0 . 

   more » « less
5. Complete Logarithmic Sobolev inequality via Ricci curvature bounded below II

   https://doi.org/10.1142/S1793525321500461  

   Brannan, Michael; Gao, Li; Junge, Marius (September 2023, Journal of Topology and Analysis)

   We study the “geometric Ricci curvature lower bound”, introduced previously by Junge, Li and LaRacuente, for a variety of examples including group von Neumann algebras, free orthogonal quantum groups [Formula: see text], [Formula: see text]-deformed Gaussian algebras and quantum tori. In particular, we show that Laplace operator on [Formula: see text] admits a factorization through the Laplace–Beltrami operator on the classical orthogonal group, which establishes the first connection between these two operators. Based on a non-negative curvature condition, we obtain the completely bounded version of the modified log-Sobolev inequalities for the corresponding quantum Markov semigroups on the examples mentioned above. We also prove that the “geometric Ricci curvature lower bound” is stable under tensor products and amalgamated free products. As an application, we obtain a sharp Ricci curvature lower bound for word-length semigroups on free group factors. 

   more » « less