New approaches to regression by generalized additive models and continuous optimization for modern applications in finance, science and technology

Date

2007-10-01

Author

Taylan, P.
Weber, Gerhard Wilhelm
Beck, A.

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

225
views

0
downloads

Generalized additive models belong to modern techniques frorn statistical learning, and are applicable in many areas of prediction, e.g. in financial mathamatics, computational biology, medicine, chemistry and environmental protection. In these models, the expectation of response is linked to the predictors via a link function. These models are fitted through local scoring algorithm using it scatterplot smoother as building blocks proposed by Hastie and Tibshirani (1987). In this article, we first give it short introduction and review. Then, we present a mathematical modeling by splines based on a new clustering approach for the x, their density, and the variation of output y. We contribute to regression with generalized additive models by bounding (penalizing) second-order terms (curvature) of the splines, leading to a more robust approximation. Previously, in [23], we proposed it refining modification and investigation of the backfitting algorithm, applied to additive models. Then, because of drawbacks of the modified backfitting algorithm, we solve this problem using continuous optimization techniques, which will becorne an important complementary technology and alternative to the concept of modified backfitting algorithm. In particular, we model and treat the constrained residual sum of squares by the elegant Framework of conic quadratic programming..

Subject Keywords

Management Science and Operations Research, Control and Optimization, Applied Mathematics

URI

https://hdl.handle.net/11511/52483

Journal

OPTIMIZATION

DOI

https://doi.org/10.1080/02331930701618740

Collections

Graduate School of Applied Mathematics, Article

Suggestions

OpenMETU
Core

Mathematical contributions to dynamics and optimization of gene-environment networks Weber, Gerhard Wilhelm; Tezel, Aysun; TAYLAN, PAKİZE; Soyler, Alper; Cetin, Mehmet (Informa UK Limited, 2008-01-01) This article contributes to a further introduction of continuous optimization in the field of computational biology which is one of the most challenging and emerging areas of science, in addition to foundations presented and the state-of-the-art displayed in [C.A. Floudas and P.M. Pardalos, eds., Optimization in Computational Chemistry and Molecular Biology: Local and Global Approaches, Kluwer Academic Publishers, Boston, 2000]. Based on a summary of earlier works by the coauthors and their colleagues, it r...
Mutual relevance of investor sentiment and finance by modeling coupled stochastic systems with MARS Kalayci, Betul; Ozmen, Ayse; Weber, Gerhard Wilhelm (Springer Science and Business Media LLC, 2020-08-01) Stochastic differential equations (SDEs) rapidly become one of the most well-known formats in which to express such diverse mathematical models under uncertainty such as financial models, neural systems, behavioral and neural responses, human reactions and behaviors. They belong to the main methods to describe randomness of a dynamical model today. In a financial system, different kinds of SDEs have been elaborated to model various financial assets. On the other hand, economists have conducted research on s...
An application of the minimal spanning tree approach to the cluster stability problem Volkovich, Z.; Barzily, Z.; Weber, Gerhard Wilhelm; Toledano-Kitai, D.; Avros, R. (Springer Science and Business Media LLC, 2012-03-01) Among the areas of data and text mining which are employed today in OR, science, economy and technology, clustering theory serves as a preprocessing step in the data analyzing. An important component of clustering theory is determination of the true number of clusters. This problem has not been satisfactorily solved. In our paper, this problem is addressed by the cluster stability approach. For several possible numbers of clusters, we estimate the stability of the partitions obtained from clustering of samp...
Effective optimization with weighted automata on decomposable trees Ravve, E. V.; Volkovich, Z.; Weber, Gerhard Wilhelm (Informa UK Limited, 2014-01-02) In this paper, we consider quantitative optimization problems on decomposable discrete systems. We restrict ourselves to labeled trees as the description of the systems and we use weighted automata on them as our computational model. We introduce a new kind of labeled decomposable trees, sum-like weighted labeled trees, and propose a method, which allows us to reduce the solution of an optimization problem, defined in a fragment of Weighted Monadic Second Order Logic, on such a tree to the solution of effec...
Optimal pricing and ordering policy for non-instantaneous deteriorating items under inflation and customer returns Ghoreishi, M.; Mirzazadeh, A.; Weber, Gerhard Wilhelm (Informa UK Limited, 2014-01-01) This paper deals with an economic production quantity inventory model for non-instantaneous deteriorating items under inflationary conditions considering customer returns. We adopt a price-and time-dependent demand function. Also, the customer returns are considered as a function of both price and demand. The effects of time value of money are studied using the Discounted Cash Flow approach. The main objective is to determine the optimal selling price, the optimal replenishment cycles, and the optimal produ...

Citation Formats

P. Taylan, G. W. Weber, and A. Beck, “New approaches to regression by generalized additive models and continuous optimization for modern applications in finance, science and technology,” OPTIMIZATION, pp. 675–698, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52483.