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Damien Robert - One of the best experts on this subject based on the ideXlab platform.

  • Computing (l,l)-isogenies in polynomial time on Jacobians of genus 2 curves
    Mathematics of Computation, 2015
    Co-Authors: Romain Cosset, Damien Robert
    Abstract:

    In this paper, we compute l-isogenies between abelian varieties over a field of characteristic different from 2 in polynomial time in l, when l is an odd prime which is coprime to the characteristic. We use level n symmetric theta structure where n = 2 or n = 4. In a second part of this paper we explain how to convert between Mumford coordinates of Jacobians of genus 2 hyperelliptic curves to theta coordinates of level 2 or 4. Combined with the Preceding Algorithm, this gives a method to compute (l,l)-isogenies in polynomial time on Jacobians of genus 2 curves.

  • Computing (ℓ,ℓ)-isogenies in polynomial time on Jacobians of genus 2 curves
    Mathematics of Computation, 2014
    Co-Authors: Romain Cosset, Damien Robert
    Abstract:

    In this paper, we compute l-isogenies between abelian varieties over a field of characteristic different from 2 in polynomial time in l, when l is an odd prime which is coprime to the characteristic. We use level n symmetric theta structure where n = 2 or n = 4. In a second part of this paper we explain how to convert between Mumford coordinates of Jacobians of genus 2 hyperelliptic curves to theta coordinates of level 2 or 4. Combined with the Preceding Algorithm, this gives a method to compute (l,l)-isogenies in polynomial time on Jacobians of genus 2 curves.

Romain Cosset - One of the best experts on this subject based on the ideXlab platform.

  • Computing (l,l)-isogenies in polynomial time on Jacobians of genus 2 curves
    Mathematics of Computation, 2015
    Co-Authors: Romain Cosset, Damien Robert
    Abstract:

    In this paper, we compute l-isogenies between abelian varieties over a field of characteristic different from 2 in polynomial time in l, when l is an odd prime which is coprime to the characteristic. We use level n symmetric theta structure where n = 2 or n = 4. In a second part of this paper we explain how to convert between Mumford coordinates of Jacobians of genus 2 hyperelliptic curves to theta coordinates of level 2 or 4. Combined with the Preceding Algorithm, this gives a method to compute (l,l)-isogenies in polynomial time on Jacobians of genus 2 curves.

  • Computing (ℓ,ℓ)-isogenies in polynomial time on Jacobians of genus 2 curves
    Mathematics of Computation, 2014
    Co-Authors: Romain Cosset, Damien Robert
    Abstract:

    In this paper, we compute l-isogenies between abelian varieties over a field of characteristic different from 2 in polynomial time in l, when l is an odd prime which is coprime to the characteristic. We use level n symmetric theta structure where n = 2 or n = 4. In a second part of this paper we explain how to convert between Mumford coordinates of Jacobians of genus 2 hyperelliptic curves to theta coordinates of level 2 or 4. Combined with the Preceding Algorithm, this gives a method to compute (l,l)-isogenies in polynomial time on Jacobians of genus 2 curves.

Liao Tao - One of the best experts on this subject based on the ideXlab platform.

  • Method of Anomaly Detection of Temperature Data in Vacuum Thermal Test Based on Data Mining
    2018 Eighth International Conference on Instrumentation & Measurement Computer Communication and Control (IMCCC), 2018
    Co-Authors: Jihui Xie, Liao Tao
    Abstract:

    In order to improve the degree of automation for the anomaly detection of Temperature Data in Vacuum Thermal Test, based on the similarities of the Temperature Data, a kind of Similarity Metric Algorithm named DTW-SBD is carried out and the optimal ranges of parameters are obtained. The Average Accuracy Rate of this Algorithm is above 0.9. Based on the Preceding Algorithm, an Anomaly Detection method of Temperature Data is proposed, which can accurately identify four kinds of typical abnormal modes in Vacuum Thermal Test. This method achieves the similar effect as manual detection.

Ma Shou-feng - One of the best experts on this subject based on the ideXlab platform.

  • Computation method of the dynamic shortest path based on improved-Dijkstra Algorithm
    Systems Engineering - Theory & Practice, 2011
    Co-Authors: Liu Jian-mei, Ma Shou-feng
    Abstract:

    Firstly,the paper divides the working hours into several time intervals and defines some different speed patterns based on historical data.Then one improved-Dijkstra Algorithm with non-passing property is suggested,which can compute the paths with the shortest traveling time from any single-source node to all the other nodes.Sequentially,we divide travelers into three types which imply the existence of passing behavior,and the corresponding shortest paths Algorithm is given.Finally,numerical examples are presented to validate the feasibility and efficiency of the Preceding Algorithm.

Jihui Xie - One of the best experts on this subject based on the ideXlab platform.

  • Method of Anomaly Detection of Temperature Data in Vacuum Thermal Test Based on Data Mining
    2018 Eighth International Conference on Instrumentation & Measurement Computer Communication and Control (IMCCC), 2018
    Co-Authors: Jihui Xie, Liao Tao
    Abstract:

    In order to improve the degree of automation for the anomaly detection of Temperature Data in Vacuum Thermal Test, based on the similarities of the Temperature Data, a kind of Similarity Metric Algorithm named DTW-SBD is carried out and the optimal ranges of parameters are obtained. The Average Accuracy Rate of this Algorithm is above 0.9. Based on the Preceding Algorithm, an Anomaly Detection method of Temperature Data is proposed, which can accurately identify four kinds of typical abnormal modes in Vacuum Thermal Test. This method achieves the similar effect as manual detection.