Results 161 to 170 of about 3,431 (301)

The SIR Model in a Moving Population: Propagation of Infection and Herd Immunity

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT In a collection of particles performing independent random walks on Zd$\mathbb {Z}^d$ we study the spread of an infection with SIR dynamics. Susceptible particles become infected when they meet an infected particle. Infected particles heal and are removed at rate ν$\nu$.
Duncan Dauvergne, Allan Sly
wiley   +1 more source

Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous   +2 more
wiley   +1 more source

Multidimensional asymptotic spectral analysis and applications [PDF]

open access: yes
This article adresses questions on localization and microlocalization in the framework of the so called (C,E,P)–algebras of generalized functions. We give new results on nonlinear properties of the asymptotic singular spectrum in the multi-parameter case,
Jean-André Marti   +2 more
core  

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

Patient‐Centric First‐in‐Human Dose Selection: An Ex Vivo Minimal Anticipated Biological Effect Level Approach for T‐Cell Engagers in Multiple Myeloma

open access: yesClinical Pharmacology &Therapeutics, EarlyView.
The minimal anticipated biological effect level (MABEL) approach to first‐in‐human (FIH) dose calculation can lead to long dose‐escalation periods before observing clinical activity. We used a novel ex vivo MABEL approach to calculate the FIH starting dose for forimtamig, a T‐cell bispecific antibody under investigation for the treatment of relapsed ...
Thomas E. Kraft   +16 more
wiley   +1 more source

Kinetic Contribution to the Arbitrary Order Odd Frequency Moments of the Dynamic Structure Factor

open access: yesContributions to Plasma Physics, EarlyView.
ABSTRACT An exact expression is derived for the kinetic contribution to the odd (arbitrary order) frequency moments of the dynamic structure factor via a finite summation that features averages of even (all lower orders) powers of the momentum over the exact momentum distribution.
Panagiotis Tolias   +2 more
wiley   +1 more source

Hilbert algebras as implicative partial semilattices

open access: yesOpen Mathematics, 2007
Cīrulis Jānis
doaj   +1 more source

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