Complex Couplings and Simple Springs: Analysis of Model-Form Error for Highly Nonlinear Oscillatory Systems
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Bandy, Rileigh Jade↗
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Results for “Error analysis”
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Deep nonparametric estimation of operators between infinite dimensional spaces
Learning operators between infinitely dimensional spaces is an important learning task arising in machine learning, imaging science, mathematical modeling and simulations, etc. This paper studies the nonparametric estimation of Lipschitz operators using deep neural networks. Non-asymptotic upper bounds are derived for the generalization error of the empirical risk minimizer over a properly chosen network class. Under the assumption that the target operator exhibits a low dimensional structure, our error bounds decay as the training sample size increases, with an attractive fast rate depending on the intrinsic dimension in our estimation. Our assumptions cover most scenarios in real applications and our results give rise to fast rates by exploiting low dimensional structures of data in operator estimation. We also investigate the influence of network structures (e.g., network width, depth, and sparsity) on the generalization error of the neural network estimator and propose a general suggestion on the choice of network structures to maximize the learning efficiency quantitatively.
97 MATHEMATICS AND COMPUTING↗
Chain-pooling ANOVA for two-level factorial replication-free experiments.
Chain pooling analysis of error variance with real effects for two level factorial replication free experiments
Berrettoni, J. N.↗
The effect of mismatched components on microwave noise-temperature calibrations
Analysis of errors on microwave noise-temperature measurements is important due to development of very low-noise antenna receiving systems and in the absolute accuracies to which the noise temperatures of these systems can be calibrated. Scattering parameters describe properties of the microwave network connected between noise source and receiver.
Otoshi, T. Y.↗
Revised lunar surface thermal characteristics obtained from the Surveyor V spacecraft.
Lunar surface thermal characteristics revised from analysis of error sources in daytime lunar surface temperatures derived from Surveyor 5 compartment data
Lucas, J. W.↗
Study of the effects of atmospheric turbulence on laser communications systems, volume 1 Interim report
High altitude aircraft test for visible laser communication and analysis of errors in optical communications experiment due to flight path inaccuracies
Webb, W. E.↗
Revised lunar surface thermal characteristics obtained from the Surveyor V spacecraft
Lunar surface thermal characteristics revised from analysis of error sources in daytime lunar surface temperatures derived from Surveyor 5 compartment data
Lucas, J. W.↗
Coherent optical noise suppression device
The present work describes a scheme for a noise suppression system to be used with an afocal coherent optical data processor. The noise averaging scheme is based on the simple principle of moving input and output film planes together during exposure; the noise pattern remains stationary while the desired (filtered) image moves through it. The noise suppression system consists of a drive motor, right-angle gear box, reversing gear assemblage, right-angle gear drive, and micrometer adjusting translation tables. The device was tested by using a Sayce target containing fundamental spatial frequencies from 5 lines/mm to 100 lines/mm as the input signal. The output was photographed on Pan-X 35-mm film with and without the noise suppression system in operation. Microdensitometer scans of the exposed output film show that without noise averaging, resolution is good to about 80 lines/mm, while with noise averaging, it is good to about 35 lines/mm. A brief analysis of errors in the mechanical parts of the system reponsible for the upper limit of resolution is presented.
Horner, J. L.↗
Onset of condensation effects with an NACA 0012-64 airfoil tested in the Langley 0.3-meter transonic cryogenic tunnel
The onset of condensation effects as determined by varying the stagnation temperature was found to correlate better with the amount of supercooling in the free stream than it did with the supercooling in the region of maximum local Mach number over the air foil. Effects in the pressure distribution over the air foil were seen to appear over its entire length at nearly the same total temperature. Both observations suggest that heterogeneous nucleation does occur in the free stream. The benefits realized from supercooling are presented in terms of increased Reynolds number capability at a given tunnel total pressure and reduced drive-fan power and liquid nitrogen consumption if Reynolds number is held constant. Depending on total pressure and free-stream Mach number, these three benefits are found to vary respectively from 8 to 19 percent, 12 to 24 percent, and 9 to 19 percent. The data analysis and error estimates are given.
Hall, R. M.↗
Design Calculations for Thermoelectric Generators
Nine simplified analytic models based on average properties accurately predict heat rates for silicon/germanium thermoelectric generators. Solutions from simplified models were compared with those obtained using sophisticated numerical analysis. Maximum errors in calculated heat rate range from about 4 percent to about 0.2 percent. Models also used to calculate power delivered to load and thermodynamic efficiency.
Zeldin, B.↗
Subcritical Wing Design Code
QUICK Interactive Graphics Analysis program, QUIAGA, displays aircraft QUICK-geometry data to aid in detection and analysis of errors. Program generates completely-analytical aircraft geometry description for use by finite difference flow codes. QUIAGA written in FORTRAN IV.
Kuhlman, J. M.↗
Modeling clear-air turbulence with vortices using parameter-identification techniques
A vortex model of winds associated with clear-air turbulence (CAT) is shown to be useful for characterizing actual airline CAT encounters. The model consists of an array of vortices with solid-body cores embedded in a potential flow field. Parameters such as the size and strength of the vortices and their locations are identified using a modified Newton-Raphson algorithm. A manual identification start-up scheme is used to minimize errors in the initial parameter estimates, and the identification algorithm is found to be robust in regard to the remaining errors. The analysis of a CAT encounter involving a commercial airliner demonstrates the success of the model and estimation procedure. The analysis finds vortices with core diameters of 1000 ft and tangential velocities of 87 ft/sec in this encounter.
Mehta, R. S.↗
Analysis of the impact of error detection on computer performance
Conventionally, reliability analyses either assume that a fault/error is detected immediately following its occurrence, or neglect damages caused by latent errors. Though unrealistic, this assumption was imposed in order to avoid the difficulty of determining the respective probabilities that a fault induces an error and the error is then detected in a random amount of time after its occurrence. As a remedy for this problem a model is proposed to analyze the impact of error detection on computer performance under moderate assumptions. Error latency, the time interval between occurrence and the moment of detection, is used to measure the effectiveness of a detection mechanism. This model is used to: (1) predict the probability of producing an unreliable result, and (2) estimate the loss of computation due to fault and/or error.
Shin, K. C.↗
The design and analysis of single flank transmission error testor for loaded gears
Due to geometrical imperfections in gears and finite tooth stiffnesses, the motion transmitted from an input gear shaft to an output gear shaft will not have conjugate action. In order to strengthen the understanding of transmission error and to verify mathematical models of gear transmission error, a test stand that will measure the transmission error of a gear pair at operating loads, but at reduced speeds would be desirable. This document describes the design and development of a loaded transmission error tester. For a gear box with a gear ratio of one, few tooth meshing combinations will occur during a single test. In order to observe the effects of different tooth mesh combinations and to increase the ability to load test gear pairs with higher gear ratios, the system was designed around a gear box with a gear ratio of two.
Houser, D. R.↗
A test of the Suits vegetative-canopy reflectance model with LARS soybean-canopy reflectance data
The Suits vegetative-canopy reflectance model is tested with an extensive set of field reflectance measurements made by the Laboratory for Application of Remote Sensing (LARS) for soybean canopies. The model is tested for the full hemisphere of observer directions as well as the nadir direction. The results show moderate agreement for the visible channels of the Landsat MSS and poor agreement in the near-infrared channel of Landsat MSS. An analysis of errors is given.
Chance, J. E.↗
Balloon in-situ measurements of ozone with the NASA-JSC UV photometer
Details of the design and performance of a UV absorption photometer used to measure ozone in the stratosphere from large balloons are given. Mechanisms which might cause a loss of ozone in the instrument are shown to be negligible. An analysis of errors obtains an instrumental precision that is better than 3 percent and an accuracy less than 5 percent. Improvements are being made that will increase the precision to about 1 percent and the accuracy to 3 percent. The NASA-JSC photometer has been intercompared with other techniques during several balloon campaigns. Agreement with other in-situ techniques was usually within 1 to 5 percent, while agreement with remote techniques was typically in the range 10 to 15 percent.
Robbins, D. E.↗
Performance analysis of a hybrid ARQ error control scheme for near earth satellite communications
A robust error control coding scheme is presented. The scheme is a cascaded forward error correction (FEC) scheme supported by parity retransmissions for further error correction in the erroneous data words. The error performance and throughput efficiency of the scheme are analyzed. Two specific schemes are proposed for NASA near earth satellite communications. It is shown that both schemes provide high reliability and throughput efficiency even for high channel bit error rates in the range of .002. The schemes are suitable for high data rate file transfer.
Lin, Shu↗
A theoretical basis for the analysis of multiversion software subject to coincident errors
Fundamental to the development of redundant software techniques (known as fault-tolerant software) is an understanding of the impact of multiple joint occurrences of errors, referred to here as coincident errors. A theoretical basis for the study of redundant software is developed which: (1) provides a probabilistic framework for empirically evaluating the effectiveness of a general multiversion strategy when component versions are subject to coincident errors, and (2) permits an analytical study of the effects of these errors. An intensity function, called the intensity of coincident errors, has a central role in this analysis. This function describes the propensity of programmers to introduce design faults in such a way that software components fail together when executing in the application environment. A condition under which a multiversion system is a better strategy than relying on a single version is given.
Eckhardt, D. E., Jr.↗