CPD-Structured Multivariate Polynomial Optimization
Frontiers in Applied Mathematics and Statistics, 2022 We introduce the Tensor-Based Multivariate Optimization (TeMPO) framework for use in nonlinear optimization problems commonly encountered in signal processing, machine learning, and artificial intelligence.
Muzaffer Ayvaz +3 more
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Security analysis of key agreement protocol based on matrix power function
Lietuvos Matematikos Rinkinys, 2012 Key agreement protocol (KAP) using Burau braid groups representation and matrix power function (MPF) is analyzed. MPF arguments are Burau representation matrices defined over finite field or ring.
Paulius Vitkus, Eligijus Sakalauskas
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Can we Beat the Square Root Bound for ECDLP over 𝔽p2 via Representation?
Journal of Mathematical Cryptology, 2020 We give a 4-list algorithm for solving the Elliptic Curve Discrete Logarithm (ECDLP) over some quadratic field 𝔽p2. Using the representation technique, we reduce ECDLP to a multivariate polynomial zero testing problem.
Delaplace Claire, May Alexander
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Optimizing the amount and splitting of nitrogen fertilizer in corn using response surface modeling [PDF]
مدلسازی و مدیریت آب و خاک, 2022 Introduction Corn is one of the most widely consumed cereals in the world, which is highly compatible with many climates. For this reason, corn has been cultivated in most regions of the world since ancient times.
Karin Neysi +2 more
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Side-Channel Attacks on Post-Quantum Signature Schemes based on Multivariate Quadratic Equations
Transactions on Cryptographic Hardware and Embedded Systems, 2018 In this paper, we investigate the security of Rainbow and Unbalanced Oil-and-Vinegar (UOV) signature schemes based on multivariate quadratic equations, which is one of the most promising alternatives for post-quantum signature schemes, against side ...
Aesun Park +3 more
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Analysis of relative abundances with zeros on environmental gradients: a multinomial regression model [PDF]
PeerJ, 2018 Ecologists often analyze relative abundances, which are an example of compositional data. However, they have made surprisingly little use of recent advances in the field of compositional data analysis.
Fiona Chong, Matthew Spencer
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IncDTW: An R Package for Incremental Calculation of Dynamic Time Warping
Journal of Statistical Software, 2021 Dynamic time warping (DTW) is a popular distance measure for time series analysis and has been applied in many research domains. This paper proposes the R package IncDTW for the incremental calculation of DTW, and based on this principle IncDTW also ...
Maximilian Leodolter +2 more
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Using Linearizing Sets to Solve Multivariate Quadratic Equations in Algebraic Cryptanalysis
IEEE Access, 2023 In this paper we describe a class of cryptographic guess-and-determine attacks which is based on the notion of a linearizing set. A linearizing set-based attack is applied to a system of Multivariate Quadratic equations (MQ) over $GF(2)$ field, which ...
Alexander Semenov +3 more
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Impact of energy consumption and economic growth on CO2 emission using multivariate regression
Energy Strategy Reviews, 2019 In this study, the relationship of energy consumption, economic growth and carbon dioxide (CO2) emission is investigated in the context of the Environmental Kuznets Curve.
Mostafa K. Ardakani +1 more
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Applied Sciences, 2023 Most of the published literature regarding bearing capacity are often focused on linear and associative soils. Concerning the intrinsic strength nonlinearity in dilatancy soils, this study investigates the problem of the seismic bearing capacity in the ...
Hong Liao, De Zhou
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