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06/29/2023
Restore Translation Using Equivariant Neural Networks
Invariance to spatial transformations such as translations and rotations...
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10/27/2022
Isometric 3D Adversarial Examples in the Physical World
3D deep learning models are shown to be as vulnerable to adversarial exa...
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07/28/2022
Bit Complexity of Polynomial GCD on Sparse Representation
An input- and output-sensitive GCD algorithm for multi-variate polynomia...
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07/17/2022
Achieve Optimal Adversarial Accuracy for Adversarial Deep Learning using Stackelberg Game
Adversarial deep learning is to train robust DNNs against adversarial at...
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05/13/2022
Skew-sparse matrix multiplication
Based on the observation that ℚ^(p-1) × (p-1) is isomorphic to a quotien...
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03/20/2022
Adversarial Parameter Attack on Deep Neural Networks
In this paper, a new parameter perturbation attack on DNNs, called adver...
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02/06/2022
Proving Information Inequalities and Identities with Symbolic Computation
Proving linear inequalities and identities of Shannon's information meas...
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11/08/2021
Robust and Information-theoretically Safe Bias Classifier against Adversarial Attacks
In this paper, the bias classifier is introduced, that is, the bias part...
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06/30/2021
A Robust Classification-autoencoder to Defend Outliers and Adversaries
In this paper, we present a robust classification-autoencoder (CAE) whic...
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03/11/2021
A Generalization of the Concavity of Rényi Entropy Powe
Recently, Savaré-Toscani proved that the Rényi entropy power of general ...
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02/03/2021
Analyzing the barren plateau phenomenon in training quantum neural network with the ZX-calculus
In this paper, we propose a general scheme to analyze the barren plateau...
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10/10/2020
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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07/17/2020
Lower Bound on Derivatives of Costa's Differential Entropy
Several conjectures concern the lower bound for the differential entropy...
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04/18/2020
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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12/29/2019
QDNN: DNN with Quantum Neural Network Layers
The deep neural network (DNN) became the most important and powerful mac...
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04/03/2019
Tropical Differential Groebner Basis
In this paper, the tropical differential Gröbner basis is studied, which...
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02/12/2018
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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02/12/2018
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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12/18/2017
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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12/15/2017
Revisit Sparse Polynomial Interpolation based on Randomized Kronecker Substitution
In this paper, a new reduction based interpolation algorithm for black-b...
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12/15/2017
Revisit Randomized Kronecker Substitution based Sparse Polynomial Interpolation
In this paper, a new Monte Carlo interpolation algorithm for sparse mult...
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10/03/2017
Deterministic Interpolation of Sparse Black-box Multivariate Polynomials using Kronecker Type Substitutions
In this paper, we propose two new deterministic interpolation algorithms...
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10/03/2017
Sparse Interpolation of Black-box Multivariate Polynomials using Kronecker Type Substitutions
In this paper, we give two new deterministic interpolation algorithms fo...
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09/26/2017
Faster Interpolation Algorithms for Sparse Multivariate Polynomials Given by Straight-Line Programs\
In this paper, we propose new deterministic and Monte Carlo interpolatio...
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09/26/2017
Asymptotically Optimal Monte Carlo Sparse Multivariate Polynomial Interpolation Algorithms of Straight-Line Program
In this paper, we propose new deterministic interpolation algorithms and...
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06/03/2017
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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04/14/2017
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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01/23/2017
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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04/07/2016
Toric Difference Variety
In this paper, the concept of toric difference varieties is defined and ...
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03/13/2016
Binomial Difference Ideals
In this paper, binomial difference ideals are studied. Three canonical r...
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01/06/2016
A Polynomial-time Algorithm to Compute Generalized Hermite Normal Form of Matrices over Z[x]
In this paper, a polynomial-time algorithm is given to compute the gener...
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03/20/2009