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Publication Restricted A probabilistic investigation of k nearest neighbor directed graphs(Koç University, 2016) Bahadır, Selim; Ceyhan, Elvan; 0000-0003-2423-3178; Koç University Graduate School of Sciences and Engineering; MathematicsPublication Metadata only Infinitesimal dilogarithm on curves over truncated polynomial rings(Mathematical Sciences Publishers, 2024) Department of Mathematics; Department of Mathematics; Ünver, Sinan; College of SciencesWe construct infinitesimal invariants of thickened one dimensional cycles in three dimensional space, which are the simplest cycles that are not in the Milnor range. This generalizes Park’s work on the regulators of additive cycles. The construction also allows us to prove the infinitesimal version of the strong reciprocity conjecture for thickenings of all orders. Classical analogs of our invariants are based on the dilogarithm function and our invariant could be seen as their infinitesimal version. Despite this analogy, the infinitesimal version cannot be obtained from their classical counterparts through a limiting process.Publication Restricted Stretch: a feature weighting method for the k nearest neighbor algorithms(Koç University, 2007) Yatbaz, Mehmet Ali; Yüret, Deniz; 0000-0002-7039-0046; Koç University Graduate School of Sciences and Engineering; Electrical and Computer Engineering; 179996