A Simple, Positive Semi-Definite, Heteroskedasticity and AutocorrelationConsistent Covariance Matrix [PDF]
This paper describes a simple method of calculating a heteroskedasticity and autocorrelation consistent covariance matrix that is positive semi-definite by construction.
Kenneth D. West, Whitney K. Newey
core
Laser &Photonics Reviews, EarlyView.Coherence variation is ubiquitous in nature, yet determining how it constrains physical observables remains challenging for multimode waves. To address this challenge, this work establishes a majorization‐based theory that identifies the supremum and infimum in the set of input coherence spectra, which provide optimal universal bounds for any linear ...
Shiyu Li, Cheng Guo
wiley +1 more source
Dynamics, Noise, Delays and the Gibbs and Conditional Entropy. [PDF]
Entropy (Basel)Mackey MC, Tyran-Kamińska M.
europepmc +1 more source
Rotational Anisotropy Raman Spectrometer for High‐Sensitivity Crystallographic Symmetry Analysis
Laser &Photonics Reviews, EarlyView.We introduce rotational‐anisotropy Raman spectroscopy, an enhanced scheme that overcomes the limitations of traditional polarization‐resolved Raman techniques. This method reveals previously inaccessible phonon symmetries and resolves directional anisotropy of phonon‐polaritons in benchmark crystals, establishing a powerful new tool for characterizing ...
Di Cheng +4 more
wiley +1 more source
Observer-based optimal and robust output regulation for nonlinear systems. [PDF]
PLoS OneQazi AKA, Memon AY.
europepmc +1 more source
Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary
Mathematische Nachrichten, EarlyView.ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley +1 more source
Entropic and Geometric Population-Coherence Complementarity in Finite-Dimensional Quantum States. [PDF]
Entropy (Basel)Gil JJ.
europepmc +1 more source
Canonical form of positive definite matrix
, 2018 The fundamental problem of graph isomorphism is to check if two graphs are isomorphic. This problem has attracted recent interest and there are very efficient programs for solving that problem. For other combinatorial structures, there are ways for reducing the problem to a graph.
openaire +1 more source
Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds
Mathematische Nachrichten, EarlyView.ABSTRACT We develop the notion of Peskine sixfolds with associated K3 surfaces and cubic fourfolds and work out numerical conditions for when these associations occur. In discriminant 24, the first family for which there is an associated cubic fourfold, we identify the cubic explicitly.
Corey Brooke +3 more
wiley +1 more source
On learning functions over biological sequence space: relating Gaussian process priors, regularization, and gauge fixing. [PDF]
J Math BiolPetti S +4 more
europepmc +1 more source