Bayesian Additive Adaptive Basis Tensor Product Models for Modeling High Dimensional Surfaces: An Application to High-Throughput Toxicity Testing
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2019/03/01
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By Wheeler M
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Description:Many modern datasets are sampled with error from complex high-dimensional surfaces. Methods such as tensor product splines or Gaussian processes are effective and well suited for characterizing a surface in two or three dimensions, but they may suffer from difficulties when representing higher dimensional surfaces. Motivated by high throughput toxicity testing where observed dose-response curves are cross sections of a surface defined by a chemical's structural properties, a model is developed to characterize this surface to predict untested chemicals' dose-responses. This manuscript proposes a novel approach that models the multidimensional surface as a sum of learned basis functions formed as the tensor product of lower dimensional functions, which are themselves representable by a basis expansion learned from the data. The model is described and a Gibbs sampling algorithm is proposed. The approach is investigated in a simulation study and through data taken from the US EPA's ToxCast high throughput toxicity testing platform. [Description provided by NIOSH]
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ISSN:0006-341X
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Pages in Document:193-201
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Volume:75
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Issue:1
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NIOSHTIC Number:nn:20052445
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Citation:Biometrics 2019 Mar; 75(1):193-201
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Contact Point Address:Matthew W. Wheeler, Risk Analysis Branch, National Institute for Occupational Safety and Health, Cincinnati, Ohio 45226
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Email:mwheeler@cdc.gov
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Federal Fiscal Year:2019
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Peer Reviewed:True
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Source Full Name:Biometrics
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Main Document Checksum:urn:sha-512:2243269d657b8fc93675c71d4d37d3659022960c19ee1bca8d24a053b3c511930b012155c02e242b8047c00ebe41e21b70c752e663293ef791797d2fa54b0ddb
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