Automatic basis function construction information

learning, automatic basis function construction (or basis discovery) is the mathematical method of looking for a set of task-independent basis functions that...

mathematical analysis, the Dirac delta function (or δ distribution), also known as the unit impulse, is a generalized function on the real numbers, whose value...

In electrical engineering, a function generator is usually a piece of electronic test equipment or software used to generate different types of electrical...

topological spaces. The latter are the most general continuous functions, and their definition is the basis of topology. A stronger form of continuity is uniform...

his experimental designs for semi-automatic rifles, developed at a time when ammunition was not suitable to function properly in such a weapon[citation...

symmetric functions, and the distinct monomial symmetric functions therefore form a basis of ΛR as an R-module. The elementary symmetric functions ek, for...

is its own inverse: the Lagrange basis automatically inverts the analog of the Vandermonde matrix. This construction is analogous to the Chinese remainder...

polynomial function in λ, called the characteristic polynomial of f. If the field F is large enough to contain a zero of this polynomial (which automatically happens...

"shy"—not automatically displayed in the session. Names assigned in a dfn are local by default, with lexical scope. ⍺ denotes the left function argument...

pointwise addition of functions. Every set B {\displaystyle B} has a free abelian group with B {\displaystyle B} as its basis. This group is unique in...

limited. In the second category are functions which are not based on mathematical problems, but on an ad-hoc constructions, in which the bits of the message...

Mel-frequency cepstrum, a representation of sounds used in applications such as automatic speech recognition Memory flow controller, a part of a computer architecture...

output as it depends on the input or the change in the input. Such functions are the basis of calculus. In the first volume of his fundamental text Introductio...

algorithmically generated sets of functions, such as the convolutional neural network (CNN) architecture, radial basis functions, or neural networks with specific...

V)=\dim(U)\dim(V),} which automatically gives the important fact that { u i ⊗ v j } {\displaystyle \{u_{i}\otimes v_{j}\}} forms a basis of U ⊗ V {\displaystyle...

basis of control theory was begun in the 18th century and advanced rapidly in the 20th. The term automation, inspired by the earlier word automatic (coming...

etc. Accurate analysis is the basis for any compiler optimization. The control-flow graph of every compiled function and the call graph of the program...

1951, Heinz Rutishauser proposed Superplan, a high-level language and automatic translator. His ideas were later refined by Friedrich L. Bauer and Klaus...

not manifestly a sheaf of functions at all. Rather, it emerges as a sheaf of functions as a consequence of the construction (via the quotients of local...

plus four Construction Companies: A, B, C, & D. CBs are organized to function as independent self sufficient units. Regiment: Naval Construction Regiments...

density function f {\displaystyle f} or its second derivative f ″ {\displaystyle f''} . To overcome that difficulty, a variety of automatic, data-based...

referred to a springers and are the cheapest and generally low quality, or automatically cycled by a battery-powered electric motor gearbox (e.g. AEGs); and...

locations controlled at the central command station on a 24-hour basis, fire alarm and automatic fire sprinkler systems, dual water supply with water treatment...

In mathematics, especially measure theory, a set function is a function whose domain is a family of subsets of some given set and that (usually) takes...

known as automatic repeat request (ARQ), and is most notably used in the Internet. An alternate approach for error control is hybrid automatic repeat request...