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Miomir S. Stankovic

  1. The computation of first order moments on junction trees.

    Wed, 01/18/2012 - 15:01 — SomNambul
    Authors: Miomir S. Stankovic, Velimir M. Ilic, Milos B. Djuric
    Subjects: Artificial Intelligence
    Abstract

    We review some existing methods for the computation of first order moments on
    junction trees using Shafer-Shenoy algorithm. First, we consider the problem of
    first order moments computation as vertices problem in junction trees. In this
    way, the problem is solved using the memory space of an order of the junction
    tree edge-set cardinality. After that, we consider two algorithms,
    Lauritzen-Nilsson algorithm, and Mau\'a et al.

  2. Entropy Message Passing Algorithm.

    Tue, 10/13/2009 - 18:46 — SomNambul
    Authors: Miomir S. Stankovic, Velimir M. Ilic, Branimir T. Todorovic
    Subjects: Learning
    Abstract

    Message passing over factor graph can be considered as generalization of many
    well known algorithms for efficient marginalization of multivariate function. A
    specific instance of the algorithm is obtained by choosing an appropriate
    commutative semiring for the range of the function to be marginalized. Some
    examples are Viterbi algorithm, obtained on max-product semiring and
    forward-backward algorithm obtained on sum-product semiring. In this paper,
    Entropy Message Passing algorithm (EMP) is developed. It operates over entropy
    semiring, previously introduced in automata theory.

  3. On q-fractional derivatives of Riemann--Liouville and Caputo type.

    Thu, 09/03/2009 - 17:38 — SomNambul
    Authors: Miomir S. Stankovic, Predrag M. Rajkovic, Sladjana D. Marinkovic
    Subjects: Classical Analysis and ODEs
    Abstract

    Based on the fractional $q$-integral with the parametric lower limit of
    integration, we define fractional $q$-derivative of Riemann-Liouville and
    Caputo type. The properties are studied separately as well as relations between
    them. Also, we discuss properties of compositions of these operators.

  4. On q-fractional derivatives of Riemann--Liouville and Caputo type.

    Thu, 09/03/2009 - 17:38 — SomNambul
    Authors: Miomir S. Stankovic, Predrag M. Rajkovic, Sladjana D. Marinkovic
    Subjects: Classical Analysis and ODEs
    Abstract

    Based on the fractional $q$-integral with the parametric lower limit of
    integration, we define fractional $q$-derivative of Riemann-Liouville and
    Caputo type. The properties are studied separately as well as relations between
    them. Also, we discuss properties of compositions of these operators.

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