1,184 research outputs found

    *K-means and Cluster Models for Cancer Signatures

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    We present *K-means clustering algorithm and source code by expanding statistical clustering methods applied in https://ssrn.com/abstract=2802753 to quantitative finance. *K-means is statistically deterministic without specifying initial centers, etc. We apply *K-means to extracting cancer signatures from genome data without using nonnegative matrix factorization (NMF). *K-means' computational cost is a fraction of NMF's. Using 1,389 published samples for 14 cancer types, we find that 3 cancers (liver cancer, lung cancer and renal cell carcinoma) stand out and do not have cluster-like structures. Two clusters have especially high within-cluster correlations with 11 other cancers indicating common underlying structures. Our approach opens a novel avenue for studying such structures. *K-means is universal and can be applied in other fields. We discuss some potential applications in quantitative finance.Comment: 124 pages, 69 figures; a trivial typo corrected; to appear in Biomolecular Detection and Quantificatio

    Extreme Sensitivity of Superconductivity to Stoichiometry in FeSe (Fe1+dSe)

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    The recently discovered iron arsenide superconductors, which display superconducting transition temperatures as high as 55 K, appear to share a number of general features with high-Tc cuprates, including proximity to a magnetically ordered state and robustness of the superconductivity in the presence of disorder. Here we show that superconductivity in Fe1+dSe, the parent compound of the superconducting arsenide family, is destroyed by very small changes in stoichiometry. Further, we show that non-superconducting Fe1+dSe is not magnetically ordered down to low temperatures. These results suggest that robust superconductivity and immediate instability against an ordered magnetic state should not be considered as intrinsic characteristics of iron-based superconducting systems, and that Fe1+dSe may present a unique opportunity for determining which materials characteristics are critical to the existence of superconductivity in high Tc iron arsenide superconductors and which are not.Comment: Updated to reflect final version and include journal referenc

    Torque Limit of a Mechanical Fastener in a Graphite/Epoxy Joint

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    Presently there is a lack of confidence amongst engineers when specifying the preload of a mechanical fastener in a composite joint due to a lack of a fundamental knowledge base regarding the behavior of composites under fastener compressive load. As such, a novel experimental procedure was developed herein to determine the through-the-thickness compressive (TTTC) material properties. A total of 206 property tests were performed on four different graphite/epoxy material systems. The results confirmed that TTTC material properties vary with fiber orientation, laminate thickness, fiber volume fraction, and even laminate surface finish. Hence, the \u27rule of mixtures\u27 provides a poor estimate of the TTTC modulus in that it fails to account for any of these variables. Finally, acoustic emission nondestructive testing, along with a modified approach to MSFC-STD-486B, Torque Limits for Standard Threaded Fastener, were used to determine the torque limit of a fastener in a single lap joint. The laminate configuration examined in these tests was manufactured in accordance with the MIL-HDBK-17 design code. The results demonstrated the inability of the fasteners employed to damage the one composite system investigated: fastener thread failure occurred first. Further study is necessary to confirm or refute these results for other composite systems and joint configurations
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