Nonlinear regression model generation using hyperparameter optimization

Strijov, Vadim
Weber, Gerhard Wilhelm
An algorithm of the inductive model generation and model selection is proposed to solve the problem of automatic construction of regression models. A regression model is an admissible superposition of smooth functions given by experts. Coherent Bayesian inference is used to estimate model parameters. It introduces hyperparameters which describe the distribution function of the model parameters. The hyperparameters control the model generation process.


Oscillation of solutions of second order mixed nonlinear differential equations under impulsive perturbations
ÖZBEKLER, ABDULLAH; Zafer, Ağacık (Elsevier BV, 2011-02-01)
New oscillation criteria are obtained for second order forced mixed nonlinear impulsive differential equations of the form
On disconjugacy and stability criteria for discrete Hamiltonian systems
Mert, R.; Zafer, Ağacık (Elsevier BV, 2011-10-01)
By making use of new Lyapunov type inequalities, we establish disconjugacy and stability criteria for discrete Hamiltonian systems. The stability criteria are given when the system is periodic.
A parallel multithreaded sparse triangular linear system solver
Cugu, Ilke; Manguoğlu, Murat (Elsevier BV, 2020-07-15)
We propose a parallel sparse triangular linear system solver based on the Spike algorithm. Sparse triangular systems are required to be solved in many applications. Often, they are a bottleneck due to their inherently sequential nature. Furthermore, typically many successive systems with the same coefficient matrix and with different right hand side vectors are required to be solved. The proposed solver decouples the problem at the cost of extra arithmetic operations as in the banded case. Compared to the b...
Second-order oscillation of forced functional differential equations with oscillatory potentials
Guvenilir, A. F.; Zafer, Ağacık (Elsevier BV, 2006-05-01)
New oscillation criteria are established for second-order differential equations containing both delay and advanced arguments of the form,
Order of convergence of evolution operator method
Ergenc, T; Hascelik, AI (Informa UK Limited, 1998-01-01)
In this paper the order of convergence of the evolution operator method used to solve a nonlinear autonomous system in ODE's [2] is investigated. The order is found, to be 2N+1 where N comes from the [N+1,N] Pade' approximation used in the method. The order is independent of the choice of the weight function.
Citation Formats
V. Strijov and G. W. Weber, “Nonlinear regression model generation using hyperparameter optimization,” COMPUTERS & MATHEMATICS WITH APPLICATIONS, pp. 981–988, 2010, Accessed: 00, 2020. [Online]. Available: