Results 31 to 40 of about 685,164 (300)
Solving the Schrödinger equation may result in a wave function of a particle in a quantum system, which can afford the information with respect to the particle’s behavior.
Sri Purwaningsih, Ramacos Fardela
doaj +1 more source
Spectrum Concentration in Deep Residual Learning: A Free Probability Approach
We revisit the weight initialization of deep residual networks (ResNets) by introducing a novel analytical tool in free probability to the community of deep learning.
Zenan Ling, Robert C. Qiu
doaj +1 more source
Free probability and random matrices
This volume opens the world of free probability to a wide variety of readers. From its roots in the theory of operator algebras, free probability has intertwined with non-crossing partitions, random matrices, applications in wireless communications ...
Speicher, Roland +3 more
core +2 more sources
Union-free Hypergraphs and Probability Theory
This paper contains new lower and upper bounds on the number of subsets of an n element set one can have so that the union of no two equals that of two others. A new lower bound is obtained when no two unions of any kind are the same; and a new upper bound when no set has the same union with two others.
Peter Frankl, Zoltán Füredi
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Boolean cumulants and subordination in free probability [PDF]
Subordination is the basis of the analytic approach to free additive and multiplicative convolution. We extend this approach to a more general setting and prove that the conditional expectation [Formula: see text] for free random variables [Formula: see text] and a Borel function [Formula: see text] is a resolvent again.
Franz Lehner, Kamil Szpojankowski
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Hyperosmotic stress induces PARP1‐mediated HPF1‐dependent mono(ADP‐ribosyl)ation
Sorbitol‐induced hyperosmotic stress rapidly induces reversible mono(ADP‐ribosyl)ation (MARylation) on PARP1 without the signs of genotoxic signaling. We show that PARP1 autoMARylation is HPF1 dependent and forms hydroxylamine‐resistant O‐glycosidic linkages.
Anna Georgina Kopasz +11 more
wiley +1 more source
Analysis of SIS-SI Stochastic Model with CTMC on the Spread of Malaria Disease
Various mathematical models have been developed to describe the transmission of malaria disease. The purpose of this study was to modify an existing mathematical model of malaria disease by using a CTMC stochastic model.
Niswah Yanfa Nabilah Syams +2 more
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From mice to humans—divergent strategies for intestinal homeostasis and regeneration
Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
wiley +1 more source
THE PROBABILITY DETERMINATION OF ERROR-FREE AIR TRAFFIC CONTROLLER OPERATION
Human error is considered to be a cause or one of the main factors in most accidents. Errors are not a certain type of deviation in behaviour; they are a natural product of all human efforts.
V. E. Borisov +3 more
doaj +1 more source
In the present work, we have identified a transcriptional signature based on the differential expression of six genes (BCL2&MAST4, HSH2D&LAT2, METRN&PITPNM2) that would facilitate the early detection of T‐cell acute lymphoblastic leukemia (T‐ALL) patients prone to a poor treatment response and could be implemented at diagnosis, along with other risk ...
Antonio Lahera +11 more
wiley +1 more source

