The degrees of freedom of semiparametric additive monotone models are derived using results about projections onto sums of order cones. Two important related questions are also studied, namely, the definition of estimators for the parameter of the error term and the formulation of specific Akaike Information Criteria statistics. Several alternatives are proposed to solve both problems and simul...

It has been a long time that there is not a so good method to determine the number of neurons in hidden layer for BP neural network. For this problem, a novel algorithm based on Akaike Information Criterion (AIC) to optimize the structure of the BP neuron networks is proposed in this paper. At the same time, this paper gives the upper and lower bounds for classical AIC to overcome its shortcomi...

Shusuke Yagi ([email protected]) Tomoya Hara ([email protected]) Rie Ueno ([email protected]) Ken-ichi Aihara ([email protected]) Daiju Fukuda ([email protected]) Akira Takashima ([email protected]) Junko Hotchi ([email protected]) Takayuki Ise ([email protected]) Koji Yamaguchi ([email protected]) Takeshi Tobium...

Globular clusters are cosmological fossils, revealing the history of the universe and galaxies. Some galaxies are found to have multiple generations of globular clusters. Traditionally, these multiple epochs of cluster formation have been detected through graphical methods. In this presentation, we discuss statistical model selection to determine the number of components in globular cluster sys...

Lithium-Ion batteries require step-ahead information to apply contingency plans prevent them from operating beyond their safe operation thresholds in grid storage and electric vehicle applications. Recently, machine learning techniques have been increasingly applied forecast one such battery metric, State-of-Charge % ( <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://w...

This note provides a proof of a fundamental assumption in the verification of bootstrap AIC variants in mixed models. The assumption links the bootstrap data and the original sample data via the log-likelihood function, and is the key condition used in the validation of the criterion penalty terms. (See Assumption 3 of both Shibata, 1997, and Shang and Cavanaugh, 2007.) To state the assumption,...

SUMMARY In order to measure the distance between a robust function evaluated under the true regression model and under a tted model, we propose a generalized Kullback-Leibler information. Using this generalization we have developed three robust model selection criteria, AICR , AICCR and AICCR, that allow the selection of candidate models that not only t the majority of the data, but also take i...

MARK T. HOLDER1,∗, PAUL O. LEWIS2, AND DAVID L. SWOFFORD3,4 1Department of Ecology and Evolutionary Biology, University of Kansas, 1200 Sunnyside Avenue, Lawrence, KS 66045, USA; 2Department of Ecology and Evolutionary Biology, University of Connecticut, 75 North Eagleville Road, Unit 3043, Storrs, CT 06269-3043, USA; 3Institute for Genome Sciences and Policy Center for Evolutionary Genomics, D...

Since the 1990s, the Akaike Information Criterion (AIC) and its various modifications/extensions, including BIC, have found wide applicability in econometrics as objective procedures that can be used to select parsimonious statistical models. The aim of this paper is to argue that these model selection procedures invariably give rise to unreliable inferences, primarily because their choice with...

Acoustic emission (AE) method enables real-time monitoring of damage initiation and progression. Recently, AE analysis using machine learning has become widely popular; however, the source location is often located manually to ensure reliability accuracy. Therefore, it desirable that detection fully automated with a high This study proposes novel arrival time identification for can accurately a...