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ABOUT WAVELET-BASED COMPUTATIONAL BEAM ANALYSIS WITH THE USE OF DAUBECHIES SCALING FUNCTIONS
International Journal for Computational Civil and Structural Engineering, 2019 The first part of the distinctive paper contains brief review of wavelet-based numerical and semianalytical analysis, particularly with the use of Daubechies scaling functions.
Marina Mozgaleva +2 more
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Scaling-invariant Functions versus Positively Homogeneous Functions [PDF]
Journal of Optimization Theory and Applications, 2021 Scaling-invariant functions preserve the order of points when the points are scaled by the same positive scalar (with respect to a unique reference point). Composites of strictly monotonic functions with positively homogeneous functions are scaling-invariant with respect to zero.
Touré, Cheikh +3 more
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Condensed Matter PhysicsRecently, a novel model to describe ordering in systems comprising agents which, although matching in their binarity (i.e., maintaining the iconic Ising features of “+” or “–”, “up” or “down”, “yes” or “no”), still differing in their strength was ...
M. Krasnytska
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Scaling Laws for Partially Developed Turbulence
Frontiers in Applied Mathematics and Statistics, 2022 We formulate multifractal models for velocity differences and gradients which describe the full range of length scales in turbulent flow, namely: laminar, dissipation, inertial, and stirring ranges.
Abigail Hsu, Ryan Kaufman, James Glimm
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The generalised scaling function: A note [PDF]
Nuclear Physics B, 2010 A method for determining the generalised scaling function(s) arising in the high spin behaviour of long operator anomalous dimensions in the planar $sl(2)$ sector of ${\cal N}=4$ SYM is proposed. The all-order perturbative expansion around the strong coupling is detailed for the prototypical third and fourth scaling functions, showing the emergence of ...
D. FIORAVANTI, P. GRINZA, ROSSI, Marco
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Mathematics, 2021 In this paper, we apply the pseudospectral method based on the Chebyshev cardinal function to solve the parabolic partial integro-differential equations (PIDEs).
Fairouz Tchier +3 more
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Scaling functions robust to translations [PDF]
IEEE Transactions on Signal Processing, 1998 Summary: The discrete wavelet transform (DWT) is popular in a wide variety of applications. Its sparse sampling eliminates redundancy in the representation of signals and leads to efficient processing. However, the DWT lacks translation invariance. This makes it ill suited for many problems where the received signal is the superposition of arbitrarily ...
Steven A. Benno, José M. F. Moura
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Quantum quench and scaling of entanglement entropy
Physics Letters B, 2017 Global quantum quench with a finite quench rate which crosses critical points is known to lead to universal scaling of correlation functions as functions of the quench rate.
Paweł Caputa +3 more
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Physical Review Research, 2021 Within a Dirac model in 1+1 dimensions, a prototypical model to describe low-energy physics for a wide class of lattice models, we propose a field-theoretical version for the representation of Wannier functions, the Zak-Berry connection, and the ...
Kiryl Piasotski +5 more
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Scaling Up Influence Functions
Proceedings of the AAAI Conference on Artificial Intelligence, 2022 We address efficient calculation of influence functions for tracking predictions back to the training data. We propose and analyze a new approach to speeding up the inverse Hessian calculation based on Arnoldi iteration. With this improvement, we achieve, to the best of our knowledge, the first successful implementation of influence functions that ...
Andrea Schioppa +3 more
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