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  • 1
    Unknown
    Functional equations in applied sciences (2005)
    Amsterdam ; Boston : Elsevier
    Details
    Keywords: DDC 515/.75 ; LC QA431 ; Functional equations
    Pages: Online-Ressource (xiii, 391 pages)
    Edition: 1st ed
    ISBN: 9780444517883
    URL: http://www.sciencedirect.com/science/publication?issn=00765392&volume=199
    Language: English
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    E-BOOK
  • 2
    Electronic Resource
    Electronic Resource
    Learning and Updating of Uncertainty in Dirichlet Models (1997)
    Springer
    Machine learning 26 (1997), S. 43-63 
    Details
    ISSN: 0885-6125
    Keywords: Beta distribution ; Dirichlet distribution ; Dirichlet conjugate priors ; evidence propagation ; parameter estimation ; prior assessment of hyperparameters ; time series.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract In this paper we analyze the problem of learning and updating of uncertainty in Dirichlet models, where updating refers to determining the conditional distribution of a single variable when some evidence is known. We first obtain the most general family of prior-posterior distributions which is conjugate to a Dirichlet likelihood and we identify those hyperparameters that are influenced by data values. Next, we describe some methods to assess the prior hyperparameters and we give a numerical method to estimate the Dirichlet parameters in a Bayesian context, based on the posterior mode. We also give formulas for updating uncertainty by determining the conditional probabilities of single variables when the values of other variables are known. A time series approach is presented for dealing with the cases in which samples are not identically distributed, that is, the Dirichlet parameters change from sample to sample. This typically occurs when the population is observed at different times. Finally, two examples are given that illustrate the learning and updating processes and the time series approach.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007372016040
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    UNCONFINED FLOW THROUGH JOINTED ROCK (1972)
    Oxford, UK : Blackwell Publishing Ltd
    Journal of the American Water Resources Association 8 (1972), S. 0 
    Details
    ISSN: 1752-1688
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Architecture, Civil Engineering, Surveying , Geography
    Notes: The two-dimensional, steady-state, unconfined flow of a homogeneous fluid through jointed rock is studied for both laminar and turbulent conditions by use of a method which is based on previously developed theoretical and experimental flow relationships. However, only the independent unknowns are selected in order to reduce the complexity of the problem and render it more readily tractable. The intact rock is assumed to be impermeable, and two intersecting systems of plane, parallel joints are used in the mathematical model, taking into account the surface roughness of the joints. The mathematical solution of the resulting nonlinear (due to turbulent flow in some joints) system of equations is obtained by use of a rapidly converging iterative procedure, wherein each iteration takes special advantage of the banded nature of the associated matrix. For the particular case where a free surface exists, the general flow equations are not satisfied, because some of the joints in the vicinity of the free surface do not flow full; therefore, new equations must be established to handle this condition. Once the development of the mathematical model is accomplished, several cases involving different geometric characteristics (width, orientation, and roughness of joints) are solved for a rectangular domain, and graphs are given to illustrate the influence of the various parameters on the manifested flow behavior.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1752-1688.1972.tb05136.x
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  • 4
    Electronic Resource
    Electronic Resource
    Functional Networks (1998)
    Springer
    Neural processing letters 7 (1998), S. 151-159 
    Details
    ISSN: 1573-773X
    Keywords: functional equation ; functional networks ; learning ; neural networks
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract In this letter we present functional networks. Unlike neural networks, in these networks there are no weightsassociated with the links connecting neurons, and the internal neuron functions are not fixed but learnable. These functions are not arbitrary, but subject to strong constraints to satisfy the compatibility conditions imposed by the existence of multiple links going from the last input layer to the same output units. In fact, writing the values of the output units in different forms, by considering these different links, a system of functional equations is obtained. When this system is solved, the numberof degrees of freedom of these initially multidimensional functions is considerably reduced. One example illustrates the process and shows that multidimensional functions can be reduced to functions with a single argument. To learn the resulting functions, a method based on minimizing a least squares error function is used, which, unlike the functions used in neural networks, has a single minimum.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1009656525752
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  • 5
    Electronic Resource
    Electronic Resource
    A variance-constrained proportional—integral feedback controller that tunes itself (2000)
    Springer
    IIE transactions 32 (2000), S. 479-491 
    Details
    ISSN: 1573-9724
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Proportional–Integral (PI) feedback controllers have been shown to provide a very robust process adjustment strategy. Recent work by Box and Luceño [1–3] provides PI controller settings that trade-off the variance of the quality characteristic versus the variance of the adjustments, an important concern in manufacturing. A Quality Engineer may desire a particular maximum adjustment variability, perhaps because of safety considerations or because the resolution of the manufacturing equipment. The graphs and tables provided by these authors were developed by minimizing a weighted sum of adjustment and output variance and will not always provide enough information to guarantee a specific maximum adjustment variance. Specifying a constraint on the adjustment variance is much more natural for a Quality Engineer than specifying the value of the relative weight that satisfies the adjustment constraint, and easier than choosing from a list of possible controller designs. In order to obtain a specific adjustment variance, parameter estimates of the process are needed. Moreover, to allow for rapid control after startup and to minimize scrap, it is desirable that on-line estimation occurs during closed-loop operation. This paper presents a PI controller that tunes its parameters on-line during closed-loop operation for a first order process under the assumption that no prior process information is known before starting the control session. Under these conditions, the proposed PI controller provides the minimum output variance for a specified upper bound in the adjustment variance; the value of the Lagrange multiplier associated with the constraint, similar to the relative weight in Box and Luceño's procedure, is computed internally by the controller and there is no need to specify it a-priori. An analysis of the performance of the controller is presented. It is shown that the proposed controller converges rapidly to the desired configuration without sacrificing the performance during the transient phase.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007615701742
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  • 6
    Electronic Resource
    Electronic Resource
    Long run and transient analysis of a double EWMA feedback controller (1999)
    Springer
    IIE transactions 31 (1999), S. 1157-1169 
    Details
    ISSN: 1573-9724
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The “predictor-corrector” feedback controller is a popular adjustment scheme proposed for the quality control of certain semiconductor manufacturing process steps. This controller is based on a double Exponentially-Weighted Moving Average (EWMA) scheme; thus the performance of the closed-loop system depends on the two weight parameters of the EWMA equations. In this paper, the conditions the weights must satisfy to ensure closed-loop stability are discussed. The optimal determination of the controller weights depends on a trade-off between long-run process variance and transient bias performance. It is shown that small weights, although they can guarantee stability, may result in severe, long transients, an important concern if fabrication is in small batches. An optimization model for finding the controller weights is given and numerically solved. An extension of this type of controllers to the multiple controllable factor case is described. The performance of the controller is illustrated with an application to Chemical Mechanical Polishing, a critical semiconductor manufacturing step.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007648229991
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  • 7
    Electronic Resource
    Electronic Resource
    Run length analysis of Shewhart charts applied to drifting processes under an integrative SPC/EPC model (1999)
    Springer
    Metrika 50 (1999), S. 137-161 
    Details
    ISSN: 1435-926X
    Keywords: Key words: Statistical process control, engineering process control, autocorrelated process, drift, Shewhart chart
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. Engineering Process Controllers (EPC) are frequently based on parametrized models. If process conditions change, the parameter estimates used by the controllers may become biased, and the quality characteristics will be affected. To detect such changes it is adequate to use Statistical Process Control (SPC) methods. The run length statistic is commonly used to describe the performance of an SPC chart. This paper develops approximations for the first two moments of the run length distribution of a one-sided Shewhart chart used to detect two types of process changes in a system that is regulated by a given EPC scheme: i) changes in the level parameter; ii) changes in the drift parameter. If the drift parameter shifts, it is further assumed that the form of the drift process changes from a linear trend under white noise (the in-control drift model) into a random walk with drift model. Two different approximations for the run length moments are presented and their accuracy is numerically analyzed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s001840050041
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  • 8
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    Water, Vol. 11, Pages 2153: Addressing Long-Term Operational Risk Management in Port Docks under Climate Change Scenarios—A Spanish Case Study (2019)
    MDPI
    In: Water
    Details
    Publication Date: 2019
    Description: Ports are strategic hubs of the logistic chain and are likely to be exposed to natural hazard events. Variation of metocean agents derived from climate change, such as sea level rise or changes in the magnitude, frequency, duration, and direction of storms, can modify the infrastructural and operational vulnerability of port areas and activities, demanding the development of adaptation or mitigation strategies. In this context, the present paper is aimed to propose a downscaling methodology for addressing local effects at port scale. In addition, based on previously identifying and defining the Areas of Operational Interest (AOIs) inside ports, an approach towards the evaluation of operational vulnerability is offered. The whole process is applied, as a practical case, to the Port of Gijón (Spain) for different General Circulation Models (GCMs), concentration scenarios, and time horizons. The results highlight, in line with other publications, that inter-model differences are, so far, more significant than intra-model differences from dissimilar time horizons or concentration scenarios.
    Electronic ISSN: 2073-4441
    Topics: Energy, Environment Protection, Nuclear Power Engineering
    Published by MDPI
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  • 9
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    Closed form expressions for choice probabilities in the Weibull case (2008)
    Elsevier
    Details
    Publication Date: 2008-05-01
    Print ISSN: 0191-2615
    Electronic ISSN: 1879-2367
    Topics: Architecture, Civil Engineering, Surveying , Geography , Economics
    Published by Elsevier
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  • 10
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    Non-planar hole-generated networks and link flow observability based on link counters (2014)
    Elsevier
    Details
    Publication Date: 2014-10-01
    Print ISSN: 0191-2615
    Electronic ISSN: 1879-2367
    Topics: Architecture, Civil Engineering, Surveying , Geography , Economics
    Published by Elsevier
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