
A Robust Classificationautoencoder to Defend Outliers and Adversaries
In this paper, we present a robust classificationautoencoder (CAE) whic...
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A Generalization of the Concavity of Rényi Entropy Powe
Recently, SavaréToscani proved that the Rényi entropy power of general ...
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Analyzing the barren plateau phenomenon in training quantum neural network with the ZXcalculus
In this paper, we propose a general scheme to analyze the barren plateau...
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Improve the Robustness and Accuracy of Deep Neural Network with L_2,∞ Normalization
In this paper, the robustness and accuracy of the deep neural network (D...
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Lower Bound on Derivatives of Costa's Differential Entropy
Several conjectures concern the lower bound for the differential entropy...
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Prove Costa's Entropy Power Inequality and High Order Inequality for Differential Entropy with Semidefinite Programming
Costa's entropy power inequality is an important generalization of Shann...
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QDNN: DNN with Quantum Neural Network Layers
The deep neural network (DNN) became the most important and powerful mac...
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Tropical Differential Groebner Basis
In this paper, the tropical differential Gröbner basis is studied, which...
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Quantum Algorithm for Optimization and Polynomial System Solving over Finite Field and Application to Cryptanalysis
In this paper, we give quantum algorithms for two fundamental computatio...
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Quantum Algorithms for Optimization and Polynomial Systems Solving over Finite Fields
In this paper, we give quantum algorithms for two fundamental computatio...
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Quantum Algorithms for Boolean Equation Solving and Quantum Algebraic Attack on Cryptosystems
Decision of whether a Boolean equation system has a solution is an NPC p...
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Revisit Sparse Polynomial Interpolation based on Randomized Kronecker Substitution
In this paper, a new reduction based interpolation algorithm for blackb...
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Revisit Randomized Kronecker Substitution based Sparse Polynomial Interpolation
In this paper, a new Monte Carlo interpolation algorithm for sparse mult...
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Deterministic Interpolation of Sparse Blackbox Multivariate Polynomials using Kronecker Type Substitutions
In this paper, we propose two new deterministic interpolation algorithms...
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Sparse Interpolation of Blackbox Multivariate Polynomials using Kronecker Type Substitutions
In this paper, we give two new deterministic interpolation algorithms fo...
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Faster Interpolation Algorithms for Sparse Multivariate Polynomials Given by StraightLine Programs\
In this paper, we propose new deterministic and Monte Carlo interpolatio...
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Asymptotically Optimal Monte Carlo Sparse Multivariate Polynomial Interpolation Algorithms of StraightLine Program
In this paper, we propose new deterministic interpolation algorithms and...
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Sparse Rational Function Interpolation with Finitely Many Values for the Coefficients
In this paper, we give new sparse interpolation algorithms for black box...
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Sparse Polynomial Interpolation with Finitely Many Values for the Coefficients
In this paper, we give new sparse interpolation algorithms for black box...
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Criteria for Finite Difference Groebner Bases of Normal Binomial Difference Ideals
In this paper, we give decision criteria for normal binomial difference ...
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Toric Difference Variety
In this paper, the concept of toric difference varieties is defined and ...
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Binomial Difference Ideals
In this paper, binomial difference ideals are studied. Three canonical r...
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A Polynomialtime Algorithm to Compute Generalized Hermite Normal Form of Matrices over Z[x]
In this paper, a polynomialtime algorithm is given to compute the gener...
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Ambient Isotopic Meshing of Implicit Algebraic Surface with Singularities
A complete method is proposed to compute a certified, or ambient isotopi...
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XiaoShan Gao
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Professor at Academy of Mathematics and Systems Science, Chinese Academy of Sciences since 1988, PhD, Computer Science and Applied Mathematics at Chinese Academy of Sciences Beijing City, China 19841988