Introduction to riemannian geometry and geometric statistics: from basic theory to implementation with geomstats
As data is a predominant resource in applications, Riemannian geometry is a natural
framework to model and unify complex nonlinear sources of data. However, the …
framework to model and unify complex nonlinear sources of data. However, the …
Geomnet: A neural network based on riemannian geometries of spd matrix space and cholesky space for 3d skeleton-based interaction recognition
XS Nguyen - Proceedings of the IEEE/CVF International …, 2021 - openaccess.thecvf.com
In this paper, we propose a novel method for representation and classification of two-person
interactions from 3D skeleton sequences. The key idea of our approach is to use Gaussian …
interactions from 3D skeleton sequences. The key idea of our approach is to use Gaussian …
Gaussian differential privacy on riemannian manifolds
We develop an advanced approach for extending Gaussian Differential Privacy (GDP) to
general Riemannian manifolds. The concept of GDP stands out as a prominent privacy …
general Riemannian manifolds. The concept of GDP stands out as a prominent privacy …
Domain adaptation for epileptic EEG classification using adversarial learning and Riemannian manifold
The epileptic electroencephalography (EEG) classification technique has been extensively
adopted in epilepsy diagnosis and management due to its powerful capacity in …
adopted in epilepsy diagnosis and management due to its powerful capacity in …
Statistics on the Stiefel manifold: Theory and applications
R Chakraborty, BC Vemuri - 2019 - projecteuclid.org
A Stiefel manifold of the compact type is often encountered in many fields of engineering
including, signal and image processing, machine learning, numerical optimization and …
including, signal and image processing, machine learning, numerical optimization and …
L-sign: Large-vocabulary sign gestures recognition system
Z Zheng, Q Wang, D Yang, Q Wang… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Understanding sign gestures is an essential step to helping individuals with hearing
impaired. The existing works can only identify a small set of gestures accurately and the …
impaired. The existing works can only identify a small set of gestures accurately and the …
Dependence structure of Gabor wavelets based on copula for face recognition
Low resolution, difficult illumination and noise are the important factors that affect the
performance of face recognition system. In order to counteract these adverse factors, in this …
performance of face recognition system. In order to counteract these adverse factors, in this …
[图书][B] Introduction to lattice algebra: With applications in ai, pattern recognition, image analysis, and biomimetic neural networks
Background. Lattice theory extends into virtually every branch of mathematics, ranging from
measure theory and convex geometry to probability theory and topology. A more recent …
measure theory and convex geometry to probability theory and topology. A more recent …
Global and local scaling limits for the Stieltjes–Wigert random matrix ensemble
PJ Forrester - Random Matrices: Theory and Applications, 2022 - World Scientific
The eigenvalue probability density function (PDF) for the Gaussian unitary ensemble has a
well-known analogy with the Boltzmann factor for a classical log-gas with pair potential− log …
well-known analogy with the Boltzmann factor for a classical log-gas with pair potential− log …
Dimensionality transcending: a method for merging BCI datasets with different dimensionalities
PLC Rodrigues, M Congedo… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
Objective: We present a transfer learning method for datasets with different dimensionalities,
coming from different experimental setups but representing the same physical phenomena …
coming from different experimental setups but representing the same physical phenomena …