Results 11 to 20 of about 10,381,547 (314)
Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
wiley +1 more source
Multifractality of light in photonic arrays based on algebraic number theory
Communications Physics, 2020 Many natural patterns and shapes, such as meandering coastlines, clouds, or turbulent flows, exhibit a characteristic complexity that is mathematically described by fractal geometry.
F. Sgrignuoli +5 more
semanticscholar +1 more source
Lattice index codes from algebraic number fields [PDF]
International Symposium on Information Theory, 2015 Broadcasting K independent messages to multiple users where each user has a subset of the K messages as side information is studied. This problem can be regarded as a natural generalization of the well-known index coding problem to the physical-layer ...
Yu-Chih Huang
semanticscholar +1 more source
Density of Arithmetic Representations of Function Fields [PDF]
Épijournal de Géométrie Algébrique, 2022 We propose a conjecture on the density of arithmetic points in the deformation space of representations of the \'etale fundamental group in positive characteristic. This?
Hélène Esnault, Moritz Kerz
doaj +1 more source
Finiteness theorems for algebraic tori over function fields
Comptes Rendus. Mathématique, 2021 We present a number of finiteness results for algebraic tori (and, more generally, for algebraic groups with toric connected component) over two classes of fields: finitely generated fields and function fields of algebraic varieties over fields of type ...
Rapinchuk, Andrei S., Rapinchuk, Igor A.
doaj +1 more source
Etale and crystalline companions, I [PDF]
Épijournal de Géométrie Algébrique, 2022 Let $X$ be a smooth scheme over a finite field of characteristic $p$. Consider the coefficient objects of locally constant rank on $X$ in $\ell$-adic Weil cohomology: these are lisse Weil sheaves in \'etale cohomology when $\ell \neq p$, and ...
Kiran S. Kedlaya
doaj +1 more source
Mathematics, 2021 In this paper, we find some inequalities which involve Euler’s function, extended Euler’s function, the function τ, and the generalized function τ in algebraic number fields.
Nicuşor Minculete, Diana Savin
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Denumerability of the Algebraic Numbers
Davao Research Journal, 2000 An algebraic number is a real number that is a root of a polynomial equation anXn + an-1Xn-1…+a0 where ai are integers. In this paper, using the fact that a polynomial equation of degree n has at most n roots, together with some results, the ...
Marleonie Bauyot
doaj +1 more source
Algebraic Persistent Fault Analysis of SKINNY_64 Based on S_Box Decomposition
Entropy, 2022 Algebraic persistent fault analysis (APFA), which combines algebraic analysis with persistent fault attacks, brings new challenges to the security of lightweight block ciphers and has received widespread attention since its introduction.
Xing Fang +5 more
doaj +1 more source
Graduate Studies in Mathematics, 1992 Notation Introduction 1. Algebraic foundations 2. Dedekind domains 3. Extensions 4. Classgroups and units 5. Fields of low degree 6. Cyclotomic fields 7. Diophantine equations 8. L-functions Appendices Exercises Glossary of theorems Index.
James S. Milne
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