2012
DOI: 10.1007/978-3-642-31612-8_14
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SMT-Aided Combinatorial Materials Discovery

Abstract: Abstract. In combinatorial materials discovery, one searches for new materials with desirable properties by obtaining measurements on hundreds of samples in a single high-throughput batch experiment. As manual data analysis is becoming more and more impractical, there is a growing need to develop new techniques to automatically analyze and interpret such data. We describe a novel approach to the phase map identification problem where we integrate domain-specific scientific background knowledge about the physic… Show more

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Cited by 21 publications
(22 citation statements)
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“…There have been a number of efforts directed at developing algorithms that allow rapid identification of key trends and features in diffraction data taken across multiphase CCS libraries, and subsequent attribution of such data to individual phases. [400][401][402][403][404][405][406][407] By performing cluster analysis, similar diffraction patterns, even among hundreds of spectra, can be rapidly identified. Similar XRD patterns usually indicate the presence of similar phases in a particular composition region.…”
Section: High-throughput Mapping Of Phase Diagramsmentioning
confidence: 99%
“…There have been a number of efforts directed at developing algorithms that allow rapid identification of key trends and features in diffraction data taken across multiphase CCS libraries, and subsequent attribution of such data to individual phases. [400][401][402][403][404][405][406][407] By performing cluster analysis, similar diffraction patterns, even among hundreds of spectra, can be rapidly identified. Similar XRD patterns usually indicate the presence of similar phases in a particular composition region.…”
Section: High-throughput Mapping Of Phase Diagramsmentioning
confidence: 99%
“…Domain knowledge is often given as a set of additional constraints [149]. The integration of additional domain knowledge generates a new hybrid formulation of the ML problem which then ideally leads to physically meaningful and significantly more accurate interpretations of the data [38]. Besides adding constraints, expert knowledge can be incorporated in different ways.…”
Section: State Of the Artmentioning
confidence: 99%
“…Proposed clustering methods such as hierarchical clustering (HCA) (Long et al 2007), dynamic time warping kernel clustering (Le Bras et al 2011) and mean shift theory (Kusne et al 2014) produce maps of phase regions, but fail to resolve mixtures or identify basis patterns, and do not necessarily produce results consistent with physics. Constraint reasoning approaches include satisfiability modulo theory (SMT) methods (Ermon et al 2012), which can provide physically meaningful results, but depend heavily on effective pre-processing such as peak identification, and are computationally intensive. Approaches based on non-negative matrix factorization (NMF) (Long et al 2009) are computationally efficient, but generally perform poorly when peakshifting phenomena are present.…”
Section: High-throughput Characterizationmentioning
confidence: 99%