Results 71 to 80 of about 1,526,545 (357)
There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes+20 more
wiley +1 more source
An Introduction to Wishart Matrix Moments
These lecture notes provide a comprehensive, self-contained introduction to the analysis of Wishart matrix moments. This study may act as an introduction to some particular aspects of random matrix theory, or as a self-contained exposition of Wishart ...
Bishop, Adrian N.+2 more
core +1 more source
Invisible Units Detection and Estimation Based on Random Matrix Theory [PDF]
Invisible units mainly refer to small-scale units that are not monitored by, and thus are not visible to utilities. Integration of these invisible units into power systems does significantly affect the way in which a distribution grid is planned and ...
Xing He+5 more
semanticscholar +1 more source
Raney Distributions and Random Matrix Theory [PDF]
Recent works have shown that the family of probability distributions with moments given by the Fuss-Catalan numbers permit a simple parameterized form for their density. We extend this result to the Raney distribution which by definition has its moments given by a generalization of the Fuss-Catalan numbers.
Dang-Zheng Liu+2 more
openaire +5 more sources
Tensor product random matrix theory
The evolution of complex correlated quantum systems such as random circuit networks is governed by the dynamical buildup of both entanglement and entropy.
Alexander Altland+2 more
doaj +1 more source
Enhancing Portfolio Allocation: A Random Matrix Theory Perspective
This paper explores the application of Random Matrix Theory (RMT) as a methodological enhancement for portfolio selection within financial markets.
Fabio Vanni+2 more
doaj +1 more source
The geometry of evolved community matrix spectra
Random matrix theory has been applied to food web stability for decades, implying elliptical eigenvalue spectra and that large food webs should be unstable.
Silja Borring Låstad, Jan O. Haerter
doaj +1 more source
We identified adaptor protein ShcD as upregulated in triple‐negative breast cancer and found its expression to be correlated with reduced patient survival and increased invasion in cell models. Using a proteomic screen, we identified novel ShcD binding partners involved in EGFR signaling pathways.
Hayley R. Lau+11 more
wiley +1 more source
Spectral Statistics Beyond Random Matrix Theory
Using a nonperturbative approach we examine the large frequency asymptotics of the two-point level density correlator in weakly disordered metallic grains.
A. Altland+15 more
core +1 more source
Random Matrix Theory Approach to Chaotic Coherent Perfect Absorbers. [PDF]
We employ random matrix theory in order to investigate coherent perfect absorption (CPA) in lossy systems with complex internal dynamics. The loss strength γ_{CPA} and energy E_{CPA}, for which a CPA occurs, are expressed in terms of the eigenmodes of ...
Huanan Li+4 more
semanticscholar +1 more source