The non-parametric filtered CPD is used to impose smoothness on the solution without imposing a polynomial constraint.doi:10.1016/j.ifacol.2021.08.437David T. WestwickDepartment of Electrical and Computer Engineering, Schulich School of Engineering, University of Calgary, CanadaJan Decuyper...
Starting with the interpolation problem, we define non-polynomial divided differences recursively as a generalization of classical divided differences. We also derive the identities and the properties of these non-polynomial divided differences such as symmetry and Leibniz formula which is a main tool ...
We demonstrate the design of a neural network hardware, where all neuromorphic computing functions, including signal routing and nonlinear activation are performed by spin-wave propagation and interference. Weights and interconnections of the network are realized by a magnetic-field pattern that is applie...
wherefi(z,E) is the characteristic polynomial of thei-th subsystem, andf0is a constant that represents the simplest possible form for the subsystem coupling. Whenf0= 0,f(z,E) completely factorizes into irreducible polynomials, as expected from a HamiltonianH(z) that block-diagonalizes into i...
For polynomial functions this includes computing the Milnor number at the origin [29] and the bifurcation set [32, 46]. Whereas for maps, Newton polyhedra were used to compute the Łojasiewicz exponents [3], prove non-properness conditions [42], and compute the set of atypical values [7,...
Hedy, and Jérôme Bolte. "On the convergence of the proximal algorithm for nonsmooth functions ...
Examples are used to illustrate the applicability of the proposed method and a comparison with polynomial approach is made. 展开 关键词: Theoretical or Mathematical/ convergence fuzzy set theory identification neural nets nonlinear functions nonlinear systems pattern clustering/ noniterative neuro-fuzzy ...
harnack inequalities and local central limit theorem for the polynomial lower tail random conductance model. j. math. soc. jpn. 67 (4), 1413–1448 (2015) article mathscinet math google scholar chiarini, a., deuschel, j.-d.: local central limit theorem for diffusions ...
any submodular function can be minimized in polynomial time [34, 14], maximization turns out to be more difficult and indeed all the aforementioned special cases are NP-hard. A related problem is Max-k-Cover, where the goal is to choose k sets whose union is as large as possible. It...
5. Value Sharing One of the more striking consequences of Nevanlinna theory is Nevanlinna’s theorem that if two non-constant meromorphic functions f and g share ?ve values, then f must equal g, [Ne]. The polynomial version of this was taken up by Adams and Straus in [AS]. Theorem ...