Search Results 1-20 of 34

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  • Dimensions of multi-fan duality algebras

    Ayzenberg Anton

    … <p>Given an arbitrary non-zero simplicial cycle and a generic vector coloring of its vertices, there is a way to produce a graded Poincare duality algebra associated with these data. …

    Journal of the Mathematical Society of Japan 72(3), 777-794, 2020


  • Weak Mean Stability in Random Holomorphic Dynamical Systems (Integrated Research on the Theory of Random Dynamical Systems)

    Sumi Hiroki

    … (4) In many holomorphic families of rational maps (including random relaxed Newton's methods family), generic random dynamical systems satisfy the statements of (2) and (3). … We can apply this to random relaxed Newton's method to find a root of any polynomial. …

    数理解析研究所講究録 (2115), 46-51, 2019-07


  • A method for computing generic Le numbers associated with non-isolated hypersurface singulrities (超局所解析と漸近解析)

    Tajima Shinichi

    … A method for computing generic Lê numbers is proposed. … Keys of the proposed method are the use of parametric saturations in polynomial rings and of parametric local cohomology systems. …

    数理解析研究所講究録 (2101), 133-138, 2019-02


  • Solomon–Terao algebra of hyperplane arrangements

    Abe Takuro , Maeno Toshiaki , Murai Satoshi , Numata Yasuhide

    … <p>We introduce a new algebra associated with a hyperplane arrangement 𝒜, called the Solomon–Terao algebra 𝑆𝑇(𝒜, 𝜂), where 𝜂 is a homogeneous polynomial. … It is shown by Solomon and Terao that 𝑆𝑇(𝒜, 𝜂) is Artinian when 𝜂 is generic. …

    Journal of the Mathematical Society of Japan 71(4), 1027-1047, 2019


  • Differences among Summation Polynomials over Various Forms of Elliptic Curves

    CHENG Chen-Mou , KODERA Kenta , MIYAJI Atsuko

    … Today, the best practical attacks against ECDLP are exponential-time generic discrete logarithm algorithms such as Pollard's rho method. …

    IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E102.A(9), 1061-1071, 2019


  • Constructing Subspace Membership Encryption through Inner Product Encryption

    KATSUMATA Shuichi , KUNIHIRO Noboru

    … Although they gave a generic construction of SME based on any IPE, we show that their construction of SME for small attribute space was incorrect and provide an attack that breaks the <i>attribute hiding</i> …

    IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E100.A(9), 1804-1815, 2017


  • Full Cryptanalysis of Hash Functions Based on Cubic Ramanujan Graphs

    JO Hyungrok , PETIT Christophe , TAKAGI Tsuyoshi

    … These algorithms do however not seem to extend to generic parameters, and as a result it is still an open problem to determine the security of Cayley hash functions in general. … We design a polynomial time preimage attack against the resulting Cayley hash function, showing that these particular parameters like the previous ones are not suitable for the construction. …

    IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E100.A(9), 1891-1899, 2017


  • Criteria for singularities for mappings from two-manifold to the plane. The number and signs of cusps

    Krzyżanowska Iwona , Nowel Aleksandra

    … is 1-generic with only folds and cusps as singularities. … In this case we give an effective method to count the number of positive and negative cusps of a polynomial <i>f</i>, using the signatures of some quadratic forms. …

    Kodai Mathematical Journal 40(2), 200-213, 2017


  • On polynomial mappings from the plane to the plane

    Krzyżanowska Iwona , Szafraniec Zbigniew

    … be a generic polynomial mapping. …

    Journal of the Mathematical Society of Japan 66(3), 805-818, 2014


  • Scalable Privacy-Preserving t-Repetition Protocol with Distributed Medical Data

    CHUN Ji Young , HONG Dowon , LEE Dong Hoon , JEONG Ik Rae

    … suggested the generic set operation protocol which can be used to find <i>t</i>-repeated elements. … Then, we suggest a polynomial-time protocol with respect to the number of users, which calculates <i>t</i>-repeated elements between users. …

    IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences 95(12), 2451-2460, 2012-12-01

    J-STAGE  References (24)

  • Optimization Algorithm for SVC Multicast with Light-Weight Feedback

    ZHOU Hao , GU Yu , JI Yusheng , ZHAO Baohua

    … We prove that such resource allocation problem is NP-hard and propose an approximate optimal algorithm with a polynomial run time. … The algorithm can get the optimal transmission configuration to maximize the expected utility for all users where the utility can be a generic non-negative, non-decreasing function of the received rate. …

    IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences 95(11), 1946-1954, 2012-11-01

    J-STAGE  References (19)

  • Sampling and Reconstruction of Periodic Piecewise Polynomials Using Sinc Kernel


    … The point is that, though a periodic piecewise polynomial of degree <i>R</i> … We also show a sampling theorem for FRI signals with derivatives of a generic known function. …

    IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences 95(1), 322-329, 2012-01-01

    J-STAGE  References (14)

  • The Geometry of Chazy's Homogeneous Third-Order Differential Equations

    Guillot Adolfo

    … Each one of these equations yields a polynomial vector field in complex three-dimensional space. … For almost all of these vector fields, the Zariski closure of a generic orbit yields an affine surface endowed with a holomorphic vector field that has exclusively single-valued solutions. …

    Funkcialaj Ekvacioj 55(1), 67-87, 2012


  • Some cases of four dimensional linear Noether's problem

    YAMASAKI Aiichi

    … As relevant topics, we remark that <i>PSp</i>(3,2) (the simple group of order 1451520) has a generic polynomial over <i><b>Q</b></i>. …

    Journal of the Mathematical Society of Japan 62(4), 1273-1288, 2010-10-01

    J-STAGE  References (14)

  • On Alexander polynomials of certain (2,5) torus curves

    KAWASHIMA Masayuki , OKA Mutsuo

    … We show that the Alexander polynomial remains the same with that of a generic torus curve as long as <I>C</I> …

    Journal of the Mathematical Society of Japan 62(1), 213-238, 2010-01-01

    J-STAGE  References (16)

  • A Note on the Field Isomorphism Problem of X3+sX+s and Related Cubic Thue Equations

    HOSHI Akinari , MIYAKE Katsuya

    … We study the field isomorphism problem of cubic generic polynomial <I>X</I><SUP>3</SUP>+<I>sX</I>+<I>s</I> …

    Interdisciplinary Information Sciences 16(1), 45-54, 2010

    IR  J-STAGE 

  • Exactly solvable birth and death processes

    Sasaki Ryu

    … The most generic solvable birth/death rates are rational functions of qx (with x being the population) corresponding to the q -Racah polynomial. …

    Journal of Mathematical Physics 50(10), 103509, 2009-10

    IR  Cited by (1)

  • Small Secret Key Attack on a Takagi's Variant of RSA

    ITOH Kouichi , KUNIHIRO Noboru , KUROSAWA Kaoru

    … Technically, we develop a method for finding a small root of a trivariate polynomial equation <i>f</i>(<i>x</i>, <i>y</i>, <i>z</i>)=<i>x</i>(<i>y</i>-1)(<i>z</i>-1)+1 ≡ … Our result cannot be obtained from the generic method of Jochemsz-May. …

    IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences 92(1), 33-41, 2009-01-01

    J-STAGE  References (17) Cited by (1)

  • Building Refinement Operators into MINL Strategy in Identification in the Limit from Positive Data  [in Japanese]

    OUCHI Seishi , YAMAMOTO Akihiro

    本研究の目標は,正データからの極限同定における極小言語戦略と精密化を結びつけ,新たに学習可能な概念空間を見出すことである.仮説空間上の精密化がある性質をもつことが,正データからの極限同定可能性のための十分条件となることを,学習問題によらない一般的な手続きを構成することで示す.この結果を用いて,木パターン言語の非有界和で学習可能な概念空間を始めて示す.さらにこの概念空間に対し,一般的な学習手続きに対 …

    IPSJ SIG Notes. ICS 151, 121-126, 2008-03-05

    References (11)

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