no code implementations • 22 Dec 2022 • Vladislav Gennadievich Malyshkin
Whereas only operator $\mathcal{U}$ projections squared are observable $\left\langle\mathit{OUT}|\mathcal{U}|\mathit{IN}\right\rangle^2$ (probabilities), the fundamental equation is formulated for the operator $\mathcal{U}$ itself.
no code implementations • 9 Oct 2022 • Vladislav Gennadievich Malyshkin, Mikhail Gennadievich Belov
An attempt to obtain market directional information from non-stationary solution of the dynamic equation: "future price tends to the value maximizing the number of shares traded per unit time" is presented.
no code implementations • 2 Jun 2019 • Vladislav Gennadievich Malyshkin
The solution to the classification problem requires prior and posterior probabilities that are obtained using the Lebesgue quadrature[1] technique.
no code implementations • 21 Jul 2018 • Vladislav Gennadievich Malyshkin
In addition to obtaining two Lebesgue quadratures (for $f$ and $g$) from two eigenproblems, the projections of $f$- and $g$- eigenvectors on each other allow to build a joint distribution estimator, the most general form of which is a density-matrix correlation.
no code implementations • 17 Jul 2018 • Vladislav Gennadievich Malyshkin
The Gaussian quadrature, for a given measure, finds optimal values of a function's argument (nodes) and the corresponding weights.
no code implementations • 10 Dec 2015 • Vladislav Gennadievich Malyshkin
The eigenvalues give possible $y^{[i]}$ outcomes and corresponding to them eigenvectors $\psi^{[i]}(\mathbf{x})$ define "Cluster Centers".
no code implementations • 29 Nov 2015 • Vladislav Gennadievich Malyshkin
For distribution regression problem, where a bag of $x$--observations is mapped to a single $y$ value, a one--step solution is proposed.
no code implementations • 22 Nov 2015 • Vladislav Gennadievich Malyshkin
On the first step, to model distribution of observations inside a bag, build Christoffel function for each bag of observations.
no code implementations • 5 Nov 2015 • Vladislav Gennadievich Malyshkin
Given sufficient number of moments pixel information can be completely recovered, for insufficient number of moments only partial information can be recovered and the image reconstruction is, at best, of interpolatory type.