Results 31 to 40 of about 5,503 (263)

On the Multiplication of Schubert Polynomials

Advances in Applied Mathematics, 1998
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Polynomial degree reduction in the L2-norm on a symmetric interval for the canonical basis

Results in Applied Mathematics, 2021
In this paper, we develop a direct formula for determining the coefficients in the canonical basis of the best polynomial of degree M that approximates a polynomial of degree N>Mon a symmetric interval for the L2-norm.
Habib Ben Abdallah, Christopher J. Henry, Sheela Ramanna   +2 more
doaj   +1 more source

WHAT IS...A Multiple Orthogonal Polynomial?

Notices of the American Mathematical Society, 2016
This is an extended version of our note in the Notices of the American Mathematical Society 63 (2016), no. 9, in which we explain what multiple orthogonal polynomials are and where they appear in various applications.
Martínez-Finkelshtein, A., Van Assche, W.   +1 more
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Multiplying Polynomials without Powerful Multiplication Instructions

Transactions on Cryptographic Hardware and Embedded Systems
We improve the performance of lattice-based cryptosystems Dilithium on Cortex-M3 with expensive multiplications. Our contribution is two-fold: (i) We generalize Barrett multiplication and show that the resulting shape-independent modular multiplication ...
Vincent Hwang, YoungBeom Kim, Seog Chung Seo   +2 more
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Homogeneous Polynomials with a Multiplication Theorem [PDF]

Transactions of the American Mathematical Society, 1929
This was known to Diophantus.t Euler and Degen noticed that, similarly, a sum of n squares admits composition when n = 4 or 8, and Hurwitzt proved that such is true only when n= 1, 2, 4, 8. Two other well known examples are the multiplication theorem for determinants whose n2 elements are independent variables and the norms of algebraic numbers ...
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Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Symbolic Regression and Multi‐Objective Optimization of the Flory–Huggins Interaction Parameter for Hydrogels

Advanced Engineering Materials, EarlyView.
We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang, Adrian Ehrenhofer, Thomas Wallmersperger   +2 more
wiley   +1 more source

A New Trick for Polynomial Multiplication

Transactions on Cryptographic Hardware and Embedded Systems
In this paper we present a novel transformation strategy for polynomial multiplications and apply it to NTRU Prime, specifically the parameter sets sntrup761 and ntrulpr761 working in the ring Z4591[x]/⟨x761−x−1⟩.
Chun-Ming Chiu, Bo-Yin Yang, Bow-Yaw Wang   +2 more
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A Practical Noise2Noise Denoising Pipeline for High‐Throughput Raman Spectroscopy

Advanced Engineering Materials, EarlyView.
A lightweight and reproducible denoising pipeline for high‐throughput Raman spectroscopy is introduced, based on a 1D convolutional autoencoder trained with a Noise2Noise strategy. Using only repeated short‐exposure acquisitions, the method suppresses stochastic noise without reference spectra, enabling reliable spectral reconstruction while preserving
David Martin‐Calle, Cesar Alvarez‐Llamas, Vincent Motto‐Ros, Christophe Dujardin, Jérémie Margueritat, David Rodney   +5 more
wiley   +1 more source

PPSC: High-Precision and Scalable Encrypted Privacy-Preserving Speech Classification [PDF]

Jisuanji kexue yu tansuo
To address the challenges of low computational efficiency and classification accuracy in existing fully homomorphic encryption technology for speech classification tasks, a high-precision and scalable encrypted privacy-preserving speech classification ...
WANG Leilei, SONG Kao, ZHANG Yuanyuan, BI Renwan, XIONG Jinbo
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