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Everything about Circular ensemble
In the theory of random matrices, the circular ensembles are measures on spaces of unitary matrices introduced by Freeman Dyson as modifications of the Gaussian matrix ensembles. The three main examples are the circular orthogonal ensemble (COE) on symmetric unitary matrices, the circular unitary ensemble (CUE) on unitary matrices, and the circular symplectic ensemble (CSE) on self dual unitary quaternionic matrices. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Circular ensembleA 5-minute orientation
- Skim a recent paper: Highly sensitive malaria detection using a graphene-coated dual circular ring resonator biosensor with behaviour prediction based on stacking ensembleInfluential work since 2022
- Pick up a classic book: Emerging Technologies for Information Systems, Computing, and ManagementThe most-reprinted book on the subject
- Read the landmark paper: Generalized circular ensemble of scattering matrices for a chaotic cavity with nonideal leadsCited 150 times
- Go sideways: Gaussian ensembleA closely related topic
- Go sideways: Hessenberg matrixA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Generalized circular ensemble of scattering matrices for a chaotic cavity with nonideal leads
The continuous ranked probability score for circular variables and its application to mesoscale forecast ensemble verification
Estimation of time dependent scour depth around circular bridge piers: Application of ensemble machine learning methods
Thinning and conditioning of the circular unitary ensemble
FastMMD: Ensemble of Circular Discrepancy for Efficient Two-Sample Test
Circular Rosenzweig-Porter random matrix ensemble
Estimation of Peptide Helicity from Circular Dichroism Using the Ensemble Model
Molecular Dynamics Ensemble Refinement of Intrinsically Disordered Peptides According to Deconvoluted Spectra from Circular Dichroism
🆕 Influential since 2022
Highly sensitive malaria detection using a graphene-coated dual circular ring resonator biosensor with behaviour prediction based on stacking ensemble
Enhanced prediction of discharge coefficients in Harmonic Plan Circular Weirs using advanced machine learning and ensemble techniques
Axial strength prediction of seawater sea sand concrete-filled circular FRP tubes under alkaline environment based on ensemble learning algorithms
Generalized Gibbs Ensemble of the Ablowitz–Ladik Lattice, Circular $$\beta $$-Ensemble and Double Confluent Heun Equation
Joint moments of a characteristic polynomial and its derivative for the circular β-ensemble
📚 Books worth reading
Emerging Technologies for Information Systems, Computing, and ManagementW. Eric Wong · 2013
Unfolded proteinsGeorge D. Rose · 2002- 📕The violation of parity and reversality in molecular ensemblesMyron W. Evans · 1990
- 📕Frontiers in ElectronicsBenjamin Iñiguez · 2014
- 📕Instrumental analysis of intrinsically disordered proteinsVladimir N. Uversky · 2010
- 📕Instrumental analysis of intrinsically disordered proteinsVladimir N. Uversky · 2010
Advances in Neural Networks – ISNN 2013Chengan Guo · 2013
A TOUR OF THE WORLDMalik Mansab Khan, Muhammad Rafique Abdul Aziz · 2025
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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