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Generalized Additive Models [PDF]
The classical linear regression model expresses the response vector Y as a function of the predictor variables \(X_ i\) through the model \(Y=\sum_{i}X_ i\beta_ i+e\), where the \(X_ i\) are observed, the \(\beta_ i\) are estimated by least squares or some other technique, e is the vector of errors.
Hastie, Trevor, Tibshirani, Robert
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The hydrogen hydroxyl (HHO) gas as a fuel additive in gasoline for SI engines has a positive impact on improving the performance and reducing the consequences of the burning of fossil fuels alone which are continuously depleting and causing severe ...
Syed Mustafa Haider +5 more
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T-Equivalences: The Metric Behavior Revisited
Since the notion of T-equivalence, where T is a t-norm, was introduced as a fuzzy generalization of the notion of crisp equivalence relation, many researchers have worked in the study of the metric behavior of such fuzzy relations.
Pilar Fuster-Parra +3 more
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On Z₂Z₂[u³]-Additive Cyclic and Complementary Dual Codes
Aydogdu et al. studied the standard forms of generator and parity-check matrices of $\mathbb {Z}_{2}\mathbb {Z}_{2}[u^{3}]$ -additive codes, and presented generators of $\mathbb {Z}_{2}\mathbb {Z}_{2}[u^{3}]$ -additive cyclic codes (Finite Fields Appl.
Xiaotong Hou, Xiangrui Meng, Jian Gao
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Additive generalization of the Boltzmann entropy [PDF]
There exists only one generalization of the classical Boltzmann-Gibbs-Shannon entropy functional to a one-parametric family of additive entropy functionals. We find analytical solution to the corresponding extension of the classical ensembles, and discuss in some detail the example of the deformation of the uncorrelated state.
Gorban, A.N. +2 more
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A Duality Relationship Between Fuzzy Partial Metrics and Fuzzy Quasi-Metrics
In 1994, Matthews introduced the notion of partial metric and established a duality relationship between partial metrics and quasi-metrics defined on a set X.
Valentín Gregori +2 more
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On Generalized Addition Chains
Given integers d >= 1, and g >= 2, a g-addition chain for d is a sequence of integers a_0=1, a_1, a_2,..., a_{r-1}, a_r=d where a_i=a_{j_1}+a_{j_2}+...+a_{j_k}, with 2 =< k =< g, and 0 =< j_1 =< j_2 =< ... =< j_k =< i-1. The length of a g-addition chain is r, the number of terms following 1 in the sequence. We denote by l_g(d)
Yara Elias, Pierre McKenzie
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Key schedule based on a modified additive generator
A method of round key generation for iterated block ciphers based on a modified additive generator (MAG), and, in addition, on MAG and a linear congruent generator in a series circuit is proposed.
Fomichev, V. M. +2 more
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Short-term frequency regulation of power systems based on DFIG wind generation
Short-term frequency regulation is important for the safety and efficiency of power systems based on wind generation units. However, unmodeled dynamics and stochastic disturbances in wind speed and load present a challenge for frequency regulation.
Jianhua Zhang +6 more
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Indistinguishability Operators Applied to Task Allocation Problems in Multi-Agent Systems
In this paper we show an application of indistinguishability operators to model response functions. Such functions are used in the mathematical modeling of the task allocation problem in multi-agent systems when the stimulus, perceived by the agent, to ...
José Guerrero +3 more
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