Formulas for the Walsh coefficients of smooth functions and their application to bounds on the Walsh coefficients [PDF]
Journal of Approximation Theory, 2015 We establish formulas for the $b$-adic Walsh coefficients of functions in $C^\alpha[0,1]$ for an integer $\alpha \geq 1$ and give upper bounds on the Walsh coefficients of these functions. We also study the Walsh coefficients of periodic and non-periodic
Suzuki, Kosuke, Yoshiki, Takehito
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Fast Walsh-Hadamard Transform and Smooth-Thresholding Based Binary Layers in Deep Neural Networks [PDF]
2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW), 2021 In this paper, we propose a novel layer based on fast Walsh-Hadamard transform (WHT) and smooth-thresholding to replace 1 × 1 convolution layers in deep neural networks. In the WHT domain, we denoise the transform domain coefficients using the new smooth-
Hongyi Pan, Diaa Badawi, A. Cetin
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Implementation of a Walsh-Hadamard Gate in a Superconducting Qutrit. [PDF]
Physical Review Letters, 2020 We have implemented a Walsh-Hadamard gate, which performs a quantum Fourier transform, in a superconducting qutrit. The qutrit is encoded in the lowest three energy levels of a capacitively shunted flux device, operated at the optimal flux-symmetry point.
M. A. Yurtalan +4 more
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Bernstein–Walsh Theory Associated to Convex Bodies and Applications to Multivariate Approximation Theory [PDF]
, 2017 We prove a version of the Bernstein–Walsh theorem on uniform polynomial approximation of holomorphic functions on compact sets in several complex variables. Here we consider subclasses of the full polynomial space associated to a convex body P.
L. Bos, N. Levenberg
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On the partial sums of Walsh-Fourier series [PDF]
, 2017 In this paper we investigate some convergence and divergence of some specific subsequences of partial sums with respect to Walsh system on the martingale Hardy spaces.
G. Tephnadze
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Approximation by Marcinkiewicz ϴ-means of double Walsh-Fourier series
Mathematical Inequalities & Applications, 2019 In this article we discuss the behaviour of Θ -means of quadratical partial sums of double Walsh series of a function in Lp(G2) (1 p ∞ ). In case p = ∞ by Lp(G2) we mean C , the collection of continuous functions on G2 .
I. Blahota, K. Nagy, G. Tephnadze
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Almost everywhere convergence of Fej\'er means of two-dimensional triangular Walsh-Fourier series [PDF]
, 2017 In 1987 Harris proved (Proc. Amer. Math.
Gát, György
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Exclusion of evidence: DPP (Walsh) v Cash [PDF]
, 2011 In the arena of improperly obtained evidence the Irish courts have, for some time, operated one of the strictest, if not the strictest, exclusionary rules in the common law world where evidence is obtained in breach of constitutional rights.
Daly, Yvonne Marie
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Recent developments in the theory of Walsh series
International Journal of Mathematics and Mathematical Sciences, 1982 We survey research done on the theory of Walsh series during the decade 1971-1981. Particular attention is given to convergence of Walsh-Fourier series, gap Walsh series, growth of Walsh-Fourier coefficients, dyadic differentiation, and uniqueness of ...
William R. Wade
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Semimartingales on rays, Walsh diffusions, and related problems of control and stopping [PDF]
Stochastic Processes and their Applications, 2016 We introduce a class of continuous planar processes, called "semimartingales on rays", and develop for them a change-of-variable formula involving quite general classes of test functions. Special cases of such planar processes are diffusions which choose,
I. Karatzas, Minghan Yan
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