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    Article

    Global asymptotic stability of the active disassembly model of flagellar length control

    Organelle size control is a fundamental question in biology that demonstrates the fascinating ability of cells to maintain homeostasis within their highly variable environments. Theoretical models describing c...

    Thomas G. Fai, Youngmin Park in Journal of Mathematical Biology (2021)

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    Article

    Dynamics of Vesicles Driven Into Closed Constrictions by Molecular Motors

    We study the dynamics of a model of membrane vesicle transport into dendritic spines, which are bulbous intracellular compartments in neurons driven by molecular motors. We reduce the lubrication model propose...

    Youngmin Park, Thomas G. Fai in Bulletin of Mathematical Biology (2020)

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    Article

    Linear convergence of cyclic SAGA

    In this work, we present and analyze C-SAGA, a (deterministic) cyclic variant of SAGA. C-SAGA is an incremental gradient method that minimizes a sum of differentiable convex functions by cyclically accessing t...

    Youngsuk Park, Ernest K. Ryu in Optimization Letters (2020)

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    Chapter and Conference Paper

    Iterative Denoising for Cross-Corpus Discovery

    We consider the problem of statistical pattern recognition in a heterogeneous, high-dimensional setting. In particular, we consider the search for meaningful cross-category associations in a heterogeneous text...

    Carey E. Priebe, David J. Marchette in COMPSTAT 2004 — Proceedings in Computation… (2004)

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    Article

    A study on the average case error of composite Newton-Cotes quadratures

    We study the integration problem in which one wants to compute the approximation to the definite integral in the average case setting. We choose the compositeNewton-Cotes quadratures as our algorithm and the func...

    Sung Hee Choi, Jung Ho Park in Journal of Applied Mathematics and Computing (2003)

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    Chapter and Conference Paper

    Fast Elliptic Curve Point Counting Using Gaussian Normal Basis

    In this paper we present an improved algorithm for counting points on elliptic curves over finite fields. It is mainly based on Satoh-Skjernaa-Taguchi algorithm [SST01], and uses a Gaussian Normal Basis (GNB) of ...

    Hae Young Kim, Jung Youl Park, Jung Hee Cheon, Je Hong Park in Algorithmic Number Theory (2002)

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    Article

    A Characterization of *-Congruences on a Regular *-Semigroup

    Younki Chae, Sang Youl Lee, Chan-Young Park in Semigroup Forum (1998)