The fundamental lemma due to Willems et al. “A note on persistency of excitation,” Syst. Control Lett., vol. 54, no. 4, pp. 325-329, 2005 plays an important role in system identification and data-driven control. One the assumptions for is that underlying linear time-invariant controllable. In this letter, extended address uncontrollable systems. Then, a algebraic test derived check whether cont...

A data-driven procedure is developed to compute the optimal map between two conditional probabilities $$\rho (x|z_{1},\ldots ,z_{L})$$ and $$\mu (y|z_{1},\ldots , known only through samples depending on a set of covariates $$z_{l}$$ . The tested synthetic data from ACIC Data Analysis Challenge 2017 it applied non-uniform lightness transfer images. Exactly solvable examples simulations are perfo...

This article studies tech mergers that involve a large volume of consumer data. The merger links the markets for data collection and application through consumption synergy. merger-specific efficiency gains exist in market due to synergy data-enabled personalization. Prices fall but generally rise as are extracted away personalized pricing. When is enough, can result monopolization both markets...

We propose a data-driven space-filling curve method for 2D and 3D visualization. Our flexible traverses the data elements in spatial domain way that resulting linearization better preserves features space compared to existing methods. achieve such coherency by calculating Hamiltonian path approximately minimizes an objective function describes similarity of values location neighborhood. extende...