Zobrazeno 1 - 10
of 28 153
pro vyhledávání: '"hypersphere"'
Autor:
Fedotov, Daniil, Nechaev, Sergei
We consider the orientational diffusion controlled by the hyperspherical Laplacian, $\nabla^2_D$, on the surface of the $D$--dimensional hypersphere in the limit $D \to \infty$. We find that for stretched paths with lengths relatively short compared
Externí odkaz:
http://arxiv.org/abs/2412.07432
Face recognition datasets are often collected by crawling Internet and without individuals' consents, raising ethical and privacy concerns. Generating synthetic datasets for training face recognition models has emerged as a promising alternative. How
Externí odkaz:
http://arxiv.org/abs/2411.08470
We propose a novel neural network architecture, the normalized Transformer (nGPT) with representation learning on the hypersphere. In nGPT, all vectors forming the embeddings, MLP, attention matrices and hidden states are unit norm normalized. The in
Externí odkaz:
http://arxiv.org/abs/2410.01131
Prototype Learning methods provide an interpretable alternative to black-box deep learning models. Approaches such as ProtoPNet learn, which part of a test image "look like" known prototypical parts from training images, combining predictive power wi
Externí odkaz:
http://arxiv.org/abs/2410.08925
Autor:
Zhu, Pengxu, Wang, Lei
Protection of biometric templates is a critical and urgent area of focus. IronMask demonstrates outstanding recognition performance while protecting facial templates against existing known attacks. In high-level, IronMask can be conceptualized as a f
Externí odkaz:
http://arxiv.org/abs/2409.12884
Publikováno v:
Application Research of Computers / Jisuanji Yingyong Yanjiu. Sep2024, Vol. 41 Issue 9, p2670-2677. 8p.
In this research, we introduce an algorithm that produces what appears to be a new mathematical object as a consequence of projecting the \( n \)-dimensional \( Z \)-curve onto an \( n \)-dimensional sphere. The first part presents the algorithm that
Externí odkaz:
http://arxiv.org/abs/2410.04611
Autor:
Simone, Camosso
After having dealt with the classical Weyl quantization, the deformation quantization and the recently (but old) Born-Jordan quantization, the purpose of the article is a sort of ''monomial quantization'' of the $2$-sphere. The result of the impossib
Externí odkaz:
http://arxiv.org/abs/2408.10224
Autor:
Branding, Volker
Both 4-harmonic and ES-4-harmonic maps are two higher order generalizations of the well-studied harmonic map equation given by a nonlinear elliptic partial differential equation of order eight. Due to the large number of derivatives it is very diffic
Externí odkaz:
http://arxiv.org/abs/2405.03313
Cosmological emulators of observables such as the Cosmic Microwave Background (CMB) spectra and matter power spectra commonly use training data sampled from a Latin hypercube. This method often incurs high computational costs by covering less relevan
Externí odkaz:
http://arxiv.org/abs/2405.01396