Dingkang Wang

Orcid: 0000-0002-4693-6862

According to our database1, Dingkang Wang authored at least 75 papers between 2007 and 2026.

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Bibliography

2026
Matrix equivalence to Smith normal form: new theoretical results for multivariate polynomial matrices.
CoRR, May, 2026

Formalizing Wu-Ritt Method in Lean 4.
CoRR, April, 2026

2025
Smith normal forms of bivariate polynomial matrices.
CoRR, July, 2025

Signature-based standard basis algorithm under the framework of GVW algorithm.
J. Symb. Comput., 2025

Completing Parametric Unimodular Rows to Unimodular Matrices.
Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation, 2025

2024
On Minor Left Prime Factorization Problem for Multivariate Polynomial Matrices.
J. Syst. Sci. Complex., June, 2024

Design of an Adaptive Lightweight LiDAR to Decouple Robot-Camera Geometry.
IEEE Trans. Robotics, 2024

On the equivalence problem of Smith forms for multivariate polynomial matrices.
CoRR, 2024

Two Algorithms for Computing Rational Univariate Representations of Zero-Dimensional Ideals with Parameters.
CoRR, 2024

Animated Stickers: Bringing Stickers to Life with Video Diffusion.
CoRR, 2024

An Algorithm for Computing Greatest Common Right Divisors of Parametric Ore Polynomials.
Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation, 2024

2023
Equivalence and reduction of bivariate polynomial matrices to their Smith forms.
J. Symb. Comput., September, 2023

On General Factorization Problems of n-D Polynomial Matrices.
IEEE Trans. Circuits Syst. II Express Briefs, March, 2023

New Results on the Equivalence of Bivariate Polynomial Matrices.
J. Syst. Sci. Complex., February, 2023

An extended GCRD algorithm for parametric univariate polynomial matrices and application to parametric Smith form.
J. Symb. Comput., 2023

New remarks on the factorization and equivalence problems for a class of multivariate polynomial matrices.
J. Symb. Comput., 2023

A New Framework for Fast Homomorphic Matrix Multiplication.
IACR Cryptol. ePrint Arch., 2023

2022
Solving Multivariate Polynomial Matrix Diophantine Equations with Gröbner Basis Method.
J. Syst. Sci. Complex., 2022

Rational Univariate Representation of Zero-Dimensional Ideals with Parameters.
Proceedings of the ISSAC '22: International Symposium on Symbolic and Algebraic Computation, Villeneuve-d'Ascq, France, July 4, 2022

A Property of Modules Over a Polynomial Ring With an Application in Multivariate Polynomial Matrix Factorizations.
Proceedings of the ISSAC '22: International Symposium on Symbolic and Algebraic Computation, Villeneuve-d'Ascq, France, July 4, 2022

2021
On factor left prime factorization problems for multivariate polynomial matrices.
Multidimens. Syst. Signal Process., 2021

Algorithms for computing greatest common divisors of parametric multivariate polynomials.
J. Symb. Comput., 2021

An Improvement of the Rational Representation for High-Dimensional Systems.
J. Syst. Sci. Complex., 2021

Graph Coarsening with Neural Networks.
Proceedings of the 9th International Conference on Learning Representations, 2021

2020
Semantic segmentation of microscopic neuroanatomical data by combining topological priors with encoder-decoder deep networks.
Nat. Mach. Intell., 2020

Factorizations for a class of multivariate polynomial matrices.
Multidimens. Syst. Signal Process., 2020

Hilbert Problem 15 and Ritt-Wu Method (II).
J. Syst. Sci. Complex., 2020

On the Construction of Involutory MDS Matrices over \(\mathbb{F}_{2^{m}}\).
J. Syst. Sci. Complex., 2020

An Improved Cost Function for Hierarchical Cluster Trees.
J. Comput. Geom., 2020

Adaptive fovea for scanning depth sensors.
Int. J. Robotics Res., 2020

Ordinally Consensus Subset over Multiple Metrics.
CoRR, 2020

Detection and skeletonization of single neurons and tracer injections using topological methods.
CoRR, 2020

An extended GCD algorithm for parametric univariate polynomials and application to parametric smith normal form.
Proceedings of the ISSAC '20: International Symposium on Symbolic and Algebraic Computation, 2020

Further results on the factorization and equivalence for multivariate polynomial matrices.
Proceedings of the ISSAC '20: International Symposium on Symbolic and Algebraic Computation, 2020

2019
A Survey on Algorithms for Computing Comprehensive Gröbner Systems and Comprehensive Gröbner Bases.
J. Syst. Sci. Complex., 2019

Speeding Up the GVW Algorithm via a Substituting Method.
J. Syst. Sci. Complex., 2019

Applying Horner's Rule to Optimize Lightweight MDS Matrices.
Int. J. Digit. Crime Forensics, 2019

2018
A New Algorithm for Computing the Extended Hensel Construction of Multivariate Polynomials.
J. Syst. Sci. Complex., 2018

The lightest 4 × 4 MDS matrices over GL(4, 𝔽<sub>2</sub>).
Sci. China Inf. Sci., 2018

Directionally Controlled Time-of-Flight Ranging for Mobile Sensing Platforms.
Proceedings of the Robotics: Science and Systems XIV, 2018

An Integrated Forward-View 2-Axis Mems Scanner for Compact 3D Lidar.
Proceedings of the 13th IEEE Annual International Conference on Nano/Micro Engineered and Molecular Systems, 2018

Extending the GVW Algorithm to Local Ring.
Proceedings of the 2018 ACM on International Symposium on Symbolic and Algebraic Computation, 2018

An Efficient Algorithm for Computing Parametric Multivariate Polynomial GCD.
Proceedings of the 2018 ACM on International Symposium on Symbolic and Algebraic Computation, 2018

2017
Preimage Attacks on the Round-reduced Keccak with Cross-linear Structures.
IACR Trans. Symmetric Cryptol., 2017

Automated Reducible Geometric Theorem Proving and Discovery by Gröbner Basis Method.
J. Autom. Reason., 2017

Metric embeddings with outliers.
Proceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms, 2017

A New Algorithm for General Factorizations of Multivariate Polynomial Matrices.
Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation, 2017

On Checking Linear Dependence of Parametric Vectors.
Proceedings of the Intelligent Computing Theories and Application, 2017

2016
Solving the perspective-three-point problem using comprehensive Gröbner systems.
J. Syst. Sci. Complex., 2016

On implementing the symbolic preprocessing function over Boolean polynomial rings in Gröbner basis algorithms using linear algebra.
J. Syst. Sci. Complex., 2016

A New Class of Differentially 4-uniform Permutations from the Inverse Function.
IACR Cryptol. ePrint Arch., 2016

The Lightest 4x4 MDS Matrices over GL(4, 픽<sub>2</sub>).
IACR Cryptol. ePrint Arch., 2016

An improvement over the GVW algorithm for inhomogeneous polynomial systems.
Finite Fields Their Appl., 2016

Developing a passive DC current sensor.
Proceedings of the 2016 IEEE SENSORS, Orlando, FL, USA, October 30 - November 3, 2016, 2016

2015
On implementing signature-based Gröbner basis algorithms using linear algebraic routines from M4RI.
ACM Commun. Comput. Algebra, 2015

2014
A Monomial-Oriented GVW for Computing Gröbner Bases.
CoRR, 2014

An Improvement over the GVW Algorithm for Inhomogeneous Polynomial Systems.
CoRR, 2014

A Method to Determine if Two Parametric Polynomial Systems Are Equal.
Proceedings of the Mathematical Software - ICMS 2014, 2014

2013
An efficient method for computing comprehensive Gröbner bases.
J. Symb. Comput., 2013

An efficient algorithm for computing a comprehensive Gröbner system of a parametric polynomial system.
J. Symb. Comput., 2013

2012
Foreword to the Special Focus on Mathematics and Algorithms for CAM and CNC.
Math. Comput. Sci., 2012

A signature-based algorithm for computing Gröbner bases in solvable polynomial algebras.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2012

2011
The F5 algorithm in Buchberger's style.
J. Syst. Sci. Complex., 2011

Solving Detachability Problem for the Polynomial Ring by Signature-based Groebner Basis Algorithms
CoRR, 2011

A Generalized Criterion for Signature-based Algorithms to Compute Gröbner Bases
CoRR, 2011

Curve fitting and optimal interpolation on CNC machines based on quadratic B-splines.
Sci. China Inf. Sci., 2011

A generalized criterion for signature related Gröbner basis algorithms.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2011

Computing comprehensive Gröbner systems and comprehensive Gröbner bases simultaneously.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2011

2010
On Computing Groebner Basis in the Rings of Differential Operators
CoRR, 2010

A New Proof of the F5 Algorithm
CoRR, 2010

A new algorithm for computing comprehensive Gröbner systems.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2010

2009
An Efficient Algorithm for Factoring Polynomials over Algebraic Extension Field
CoRR, 2009

The Implementation and Complexity Analysis of the Branch Gröbner Bases Algorithm Over Boolean Polynomial Rings.
Proceedings of the Computer Mathematics, 2009

2008
A Simulation Model for Doppler Ultrasound Signals from Pulsatile Blood Flow in Stenosed Vessels.
Proceedings of the 2008 International Conference on BioMedical Engineering and Informatics, 2008

2007
An Algorithm for Transforming Regular Chain into Normal Chain.
Proceedings of the Computer Mathematics, 8th Asian Symposium, 2007


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