Results 111 to 120 of about 56,667 (302)
Quarterly Journal of the Royal Meteorological Society, EarlyView.We study the impact of observation‐error correlations in data assimilation using both a simple idealised system and a more realistic configuration. A spectral analysis of data assimilation in the idealised system allows us to gain insights on the effect of observation‐error correlations, which are then validated using the realistic configuration.
Olivier Goux +4 more
wiley +1 more source
The relativistic Laguerre polynomials [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1996 A new relativistic-type polynomial system is defined by means of the Relativistic Hermite Polynomial system, introduced recently by V.Aldaya et al. to express the wave functions of the quantum relativistic harmonic oscillator.
P. NATALINI
doaj
On the modifications of classical orthogonal polynomials: The symmetric case
Approximation Theory and its Applications, 1998 We consider the modifcations of the monic Hermite and Gegenbauer polynomials via the addition of one point mass at the origin. Some properties of the resulting polynomials are studied: three-term recurrence relation, differential equation, ratio asymptotics, hypergeometric representation as well as, for large n, the behaviour of their zeros.
Álvarez Nodarse, Renato +1 more
openaire +3 more sources
Statistical Complexity of Quantum Learning
Advanced Quantum Technologies, EarlyView.The statistical performance of quantum learning is investigated as a function of the number of training data N$N$, and of the number of copies available for each quantum state in the training and testing data sets, respectively S$S$ and V$V$. Indeed, the biggest difference in quantum learning comes from the destructive nature of quantum measurements ...
Leonardo Banchi +3 more
wiley +1 more source
Generalized coherent states for classical orthogonal polynomials [PDF]
, 2002 V. V. Borzov
openalex +3 more sources
New Characterizations of Discrete Classical Orthogonal Polynomials
Journal of Approximation Theory, 1997 AbstractWe prove that if both {Pn(x)}∞n=0and {∇rPn(x)}∞n=rare orthogonal polynomials for any fixed integer r⩾1, then {Pn(x)}∞n=0must be discrete classical orthogonal polynomials. This result is a discrete version of the classical Hahn's theorem stating that if both {Pn(x)}∞n=0and {(d/dx)rPn(x)}∞n=rare orthogonal polynomials, then {Pn(x)}∞n=0are ...
Kwon, KH Kwon, Kil Hyun +2 more
openaire +3 more sources
Quantum Circuit Design using a Progressive Widening Enhanced Monte Carlo Tree Search
Advanced Quantum Technologies, EarlyView.This article proposes the Progressive Widening enhanced Monte Carlo Tree Search (PWMCTS) to design parameterized quantum circuits. It improves the efficiency of the previous MCTS‐based techniques in terms of number of quantum circuit evaluation, number of gates and CNOT count.
Vincenzo Lipardi +3 more
wiley +1 more source
Direct Data‐Driven State‐Feedback Control of Linear Parameter‐Varying Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT The framework of linear parameter‐varying (LPV) systems has shown to be a powerful tool for the design of controllers for complex nonlinear systems using linear tools. In this work, we derive novel methods that allow us to synthesize LPV state‐feedback controllers directly from only a single sequence of data and guarantee stability and ...
Chris Verhoek +2 more
wiley +1 more source
New fractional-order shifted Gegenbauer moments for image analysis and recognition
Journal of Advanced Research, 2020 Orthogonal moments are used to represent digital images with minimum redundancy. Orthogonal moments with fractional-orders show better capabilities in digital image analysis than integer-order moments.
Khalid M. Hosny +2 more
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Applications of Artificial Intelligence in Neurological Voice Disorders
World Journal of Otorhinolaryngology - Head and Neck Surgery, EarlyView.ABSTRACT Neurological voice disorders, such as Parkinson's disease, laryngeal dystonia, and stroke‐induced dysarthria, significantly impact speech production and communication. Traditional diagnostic methods rely on subjective assessment, whereas artificial intelligence (AI) offers objective, noninvasive, and scalable solutions for voice analysis. This
Dongren Yao +2 more
wiley +1 more source