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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A link invariant from higher-dimensional Heegaard Floer homology
高维 Heegaard-Floer同调 链接不变量
2023/11/13
We define a higher-dimensional analogue of symplectic Khovanov homology. Consider the standard Lefschetz fibration of a 2n-dimensional Milnor fiber of the A_{k-1} singularity. We represent a link by a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Smoothing invariant is equivalent to harmonic
平滑不变 等价 谐波 调和函数
2023/4/23
It is well known that harmonic function is smoothing invariant when convolved with the standard mollifier, which gives a quick proof of the smoothness of the harmonic function. In this talk, we will c...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Conformally invariant fields out of Brownian loop soups
布朗环汤 共形 不变场 布朗分布
2023/4/14
For each central charge c\in (0,1], we construct a conformally invariant field which is a measurable function of the local time field \mathcal{L} of the Brownian loop soup with intensity c and i.i.d. ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Invariant Geometric Flows in Affine-related Geometries
仿射 相关几何 不变几何流
2023/4/26
In this talk, we are mainly concerned with invariant geometric flows in affine-related geometries including centro-equiane, centro-affine, affine and affine-symplectic geometries. First, we show that ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Quasi-invariant theorem on the Gaussian path space
高斯路径 空间 准不变定理
2023/4/27
In this talk, we will first introduce a class of Gaussian processes, and prove the quasi-invariant theorem with respect to the Gaussian Wiener measure, which is the law of the associated Gaussian proc...
Structural Nonlinear Invariant Attacks on T-310: Attacking Arbitrary Boolean Functions
block ciphers Boolean functions non-linearity
2019/1/2
Recent papers show how to construct polynomial invariant attacks for block ciphers, however almost all such results are somewhat weak: invariants are simple and low degree and the Boolean functions te...
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 ...
Constructing TI-friendly Substitution Boxes using Shift-Invariant Permutations
Shift-invariant Threshold implementation Sbox
2018/11/7
The threat posed by side channels requires ciphers that can be efficiently protected in both software and hardware against such attacks. In this paper, we proposed a novel Sbox construction based on i...
Approximate Homomorphic Encryption over the Conjugate-invariant Ring
ring learning with errors homomorphic encryption real number arithmetic
2018/11/6
The Ring Learning with Errors (RLWE) problem over a cyclotomic ring has been the most widely used hardness assumption for the construction of practical homomorphic encryption schemes. However, this re...
ILLUMINATION INVARIANT CHANGE DETECTION (IICD): FROM EARTH TO MARS
Illumination Planetary Surface Change Detection Phase Correlatio Saliency Active Contour
2018/5/15
Multi-temporal Earth Observation and Mars orbital imagery data with frequent repeat coverage provide great capability for planetary surface change detection. When comparing two images taken at differe...
Solving Multivariate Polynomial Systems and an Invariant from Commutative Algebra
post-quantum cryptography multivariate cryptography Groebner basis
2017/6/22
The security of several post-quantum cryptosystems is based on the assumption that solving a system of multivariate (quadratic) polynomial equations p1=⋯=pm=0p1=⋯=pm=0 over a finite field ...
Proving Resistance against Invariant Attacks: How to Choose the Round Constants
Block cipher Nonlinear invariant attack Invariant subspace attack
2017/5/31
Many lightweight block ciphers apply a very simple key schedule in which the round keys only differ by addition of a round-specific constant. Generally, there is not much theory on how to choose appro...
New Observations on Invariant Subspace Attack
Invariant subspace attack AES-like Lightweight block ciphers
2017/3/28
Invariant subspace attack is a novel cryptanalytic technique which breaks several recently proposed lightweight block ciphers. In this paper, we propose a new method to bound the dimension of some inv...
Invariant Subspace Attack Against Midori64 and The Resistance Criteria for S-box Designs
Midori Block Cipher Invariant Subspace Attack
2016/12/8
We present an invariant subspace attack on the block cipher Midori64, proposed at Asiacrypt 2015. Our analysis shows that Midori64 has a class of 2^{32} weak keys. Under any such key, the cipher can b...
LAND USE CLASSIFICATION FROM VHR AERIAL IMAGES USING INVARIANT COLOUR COMPONENTS AND TEXTURE
High resolution colour images texture classification invariant colour spaces aerial images
2016/11/23
Very high resolution (VHR) aerial images can provide detailed analysis about landscape and environment; nowadays, thanks to the rapid growing airborne data acquisition technology an increasing number ...