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LARNeXt：基于李代数的端到端残差网络人脸识别
李代数 端到端 残差 网络人脸识别
2023/12/13
Face recognition has always been courted in computer vision and is especially amenable to situations with significant variations between frontal and profile faces. Traditional techniques make great st...
一般线性群上随机游动系数的大偏差展式
线性群 随机游动系数 大偏差展式
2023/9/20
Consider $(g_n)_{n\geq 1}$ a sequence of independent and identically distributed random matrices and the left random walk $G_n : = g_n \ldots g_1$ on the general linear group $GL(d, \mathbb R)$. Under...
基于视频的点云压缩(Video based point cloud compression,V-PCC)为压缩动态点云提供了高效的解决方案,但V-PCC从三维到二维的投影使得三维帧间运动的相关性被破坏,降低了帧间编码性能.针对这一问题,提出一种基于V-PCC改进的自适应分割的视频点云多模式帧间编码方法,并依此设计了一种新型动态点云帧间编码框架。
正则化系统辨识输入设计中的嵌入和逆嵌入
正则化系统 辨识输入 嵌入 逆嵌入
2023/5/29
Input design is an important problem for system identification and has been well studied for the classical system identification, i.e., the maximum likelihood/prediction error method. For the emerging...
This paper is concerned with Smith forms of bivariate polynomial matrices. For a bivariate polynomial square matrix with the determinant being the product of two distinct and irreducible univariate po...
极化码的所有保持串行抵消译码不变的仿射自同构（马志明、闫桂英）
极化码 保持串行抵消 译码不变 仿射自同构
2023/1/30
Automorphism ensemble (AE) decoding for polar codes was proposed by decoding permuted codewords with successive cancellation (SC) decoders in parallel and hence has lower latency compared to that of s...
图谱方法改进GV界（马志明、闫桂英）
图谱方法 改进 GV界
2023/1/12
This paper improves Gilbert-Varshamov bound by graph spectral method. Gilbert graph Gq,n,d is a graph with all vectors in Fnq as vertices where two vertices are adjacent if their Hamming distance is l...
影响域近似对非局部模型局部极限的影响
影响域近似 非局部模型 极限
2022/12/16
Many nonlocal models have adopted Euclidean balls as the nonlocal interaction neighborhoods. When solving them numerically, it is sometimes convenient to adopt polygonal approximations of such balls. ...
一类求解非光滑矩阵流形优化的基于增广拉格朗日的半光滑牛顿法
非光滑矩阵 流形优化 增广拉格朗日 半光滑牛顿法
2022/12/16
This paper is devoted to studying an augmented Lagrangian method for solving a class of manifold optimization problems, which have nonsmooth objective functions and nonlinear constraints. Under the co...
影响域近似对非局部模型局部极限的影响（谢和虎）
域 非局部模型 局部极限
2022/12/16
Many nonlocal models have adopted Euclidean balls as the nonlocal interaction neighborhoods. When solving them numerically, it is sometimes convenient to adopt polygonal approximations of such balls. ...
低秩正交张量逼近的交替极分解方法的线性收敛性
低秩正交 张量逼近 交替极分解方法 线性收敛性
2022/9/9
Low rank orthogonal tensor approximation (LROTA) is an important problem in tensor computations and their applications. A classical and widely used algorithm is the alternating polar decomposition met...
非负多项式与Circuit多项式
非负 多项式 Circuit多项式
2022/7/11
The concept of sums of nonnegative circuit (SONC) polynomials was recently introduced as a new certificate of nonnegativity especially for sparse polynomials. In this paper, we explore the relationshi...
GL2的岩泽主猜想和p进L函数的导数
GL2 岩泽主猜想 p进L函数 导数
2022/7/11
We prove under mild hypotheses the three-variable Iwasawa main conjecture for $p$-ordinary modular forms in the indefinite setting. Our result is in a setting complementary to that in the work of Skin...
庞加莱偶的概念
庞加莱 偶 概念 中国科学院数学与系统科学研究院
2022/7/11
We establish a number of foundational results on Poincaré spaces which result in several applications. One application settles an old conjecture of C.T.C. Wall in the affirmative. Another result shows...
三次型、反常消解及模性
三次型 反常消解 模性
2022/7/11
Motivated by the cubic forms and anomaly cancellation formulas of Witten-Freed-Hopkins, we give some new cubic forms on spin, spin^c, spin^{w_2} and orientable 12-manifolds respectively. We relate the...