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Error Analysis on the Five Stand Biomass Growth Estimation Methods for a Sub-Alpine Natural Pine Forest in Yunnan, Southwestern China
above-ground biomass biomass growth error analysis Pinus densata forests
2023/11/22
Forest biomass measurement or estimation is critical for forest monitoring at the stand scale, but errors among different estimations in stand investigation are unclear. Thus, the Pinus densata natura...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Unconditional stability and error estimates of FEMs for the electro-osmotic flow in micro-channels
微通道 电渗流FEM 无条件稳定性 误差估计
2023/5/15
In this paper, we will provide the the finite element method for the electro-osmotic flow in micro-channels, in which a convection-diffusion type equation is given for the charge density ρe. A time-di...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Error Exponents and Rényi Information Divergence in Quantum Information
量子信息 误差指数 仁义信息发散
2023/4/28
In quantum information theory, the error exponents characterize the best rate of exponential convergence of the error towards 0 or 1, as the number of copies of the underlying resources increases. In ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy stability and error analysis of a maximum bound principle preserving scheme for the dynamical Ginzburg-Landau equations of Superconductivity
超导动力学 金茨堡-朗道方程 最大界界原理 能量稳定性 误差分析
2023/4/25
We focus on numerical study of the dynamical Ginzburg-Landau equations under the temporal gauge, and propose a decoupled numerical scheme based on the finite element method. For the variable A, the se...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Improved error estimates of the splitting methods for the long-time dynamics for the weakly nonlinear Schrodinger equations
弱非线性薛定谔方程 长时间动力学 分裂方法 误差估计
2023/4/21
We establish improved uniform error bounds for the time-splitting methods for the long-time dynamics of the nonlinear Schr\"odinger equation (NLSE) with weak nonlinearity. By a new technique of regula...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Quantum Error Correction: Foundation and Landscape
量子纠错 基础景观 量子纠错理论
2023/4/18
Quantum error correction theory lies at the heart of universal quantum computing. So far, people do not find or realize good-enough error correction codes yet. In this talk, I will survey the foundati...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Quantum Error Correction: Fault-tolerance and Universality
量子纠错 容错性 通用性
2023/4/17
There is a big gap between the so-called NISQ (noisy intermediate-scale quantum) and FTQ (fault-tolerant quantum) computing. Recently, we introduced QEQ (quasi-exact quantum) computing, which lies in ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A posteriori error estimate for a WG method of H(curl)-elliptic problems
H（卷曲） 椭圆问题 WG方法 后验误差估计
2023/4/23
In this paper, a posteriori error estimate of a weak Galerkin (WG) finite element method for solving H(curl)-elliptic problems is designed and analyzed. Firstly, a WG method for H(curl)-elliptic probl...
Timing attacks on Error Correcting Codes in Post-Quantum Secure Schemes
Post-Quantum Cryptography Decryption Failures Side-Channel Attacks
2019/3/20
While error correcting codes (ECC) have the potential to significantly reduce the failure probability of post-quantum schemes, they add an extra ECC decoding step to the algorithm. As this additional ...
Fault Attack Countermeasures for Error Samplers in Lattice-Based Cryptography
Lattice-based cryptography fault attacks countermeasures
2019/3/1
Lattice-based cryptography is one of the leading candidates for NIST's post-quantum standardisation effort, providing efficient key encapsulation and signature schemes. Most of these schemes base thei...
Constant-time BCH Error-Correcting Code
Lattice-based cryptography Decryption failures Error-correcting codes
2019/2/25
Decryption failure is a common phenomenon in most lattice-based public-key schemes. To reduce the rate of decryption failure, application of error correction code can be helpful. However, the literatu...
Sampling the Integers with Low Relative Error
Sampling Discrete Gaussians Lattice-based Cryptography
2019/1/26
Randomness is an essential part of any secure cryptosystem, but many constructions rely on distributions that are not uniform. This is particularly true for lattice based cryptosystems, which more oft...
Error Amplification in Code-based Cryptography
post-quantum cryptography MDPC timing attack
2019/1/2
Code-based cryptography is one of the main techniques enabling cryptographic primitives in a post-quantum scenario. In particular, the MDPC scheme is a basic scheme from which many other schemes have ...
The impact of error dependencies on Ring/Mod-LWE/LWR based schemes
Lattice cryptography Ring-LWE Error Correcting Codes
2018/12/3
Current estimation techniques for the probability of decryption failures in Ring/Mod-LWE/LWR based schemes assume independence of the failures in individual bits of the transmitted message to calculat...
Distinguishing Error of Nonlinear Invariant Attacks
correlation uniform random function uniform random permutation
2018/11/7
Linear cryptanalysis considers correlations between linear input and output combiners for block ciphers and stream ciphers. Daeman and Rijmen (2007) had obtained the distributions of the correlations ...