For a graph with largest normalized Laplacian eigenvalue $λ_N$ and (vertex) coloring number $χ$, it is known that $λ_N\geq χ/(χ-1)$. Here we prove properties of graphs for which this bound is sharp, and we study the multiplicity of $χ/(χ-1)$....
We introduce AlphaGrad, a memory-efficient, conditionally stateless optimizer addressing the memory overhead and hyperparameter complexity of adaptive methods like Adam. AlphaGrad enforces scale invariance via tensor-wise L2 gradient normalization fo...
Text to image transformation for input to neural networks requires intermediate steps. This paper attempts to present a new approach to pixel normalization so as to convert textual data into image, suitable as input for neural networks. This method c...
Normalising Flows are non-parametric statistical models characterised by their dual capabilities of density estimation and generation. This duality requires an inherently invertible architecture. However, the requirement of invertibility imposes cons...
We prove that for Gaussian random normal matrices the correlation function has universal behavior. Using the technique of orthogonal polynomials and identities similar to the Christoffel-Darboux formula, we find that in the limit, as the dimension...
Scale-mixture shrinkage priors have recently been shown to possess robust empirical performance and excellent theoretical properties such as model selection consistency and (near) minimax posterior contraction rates. In this paper, the normal-compoun...
​ He tries to play it off as nothing more than a normal correction but then he drops this little nugget.... >All of this isn't to say you move to all cash and bittycoin\* and take refu...
In this work, a combination of experiments and theory is used to investigate three-body, normal collisions between solid particles with a liquid coating (i.e., "wetted" particles). Experiments are carried out using a Stokes' cradle, an apparatus in...
A finite von Neumann algebra $\mathcal{M}$ with a faithful normal trace $% τ$ has Haagerup's approximation property (relative to a von Neumann subalgebra $\mathcal{N}$) if there exists a net $(φ_α)_{α\in Λ}$ of normal completely positive ($\ma...
A Nearly Normal Family (Swedish: En helt vanlig familj) is a 2023 Swedish drama limited television series directed by Per Hanefjord, and developed by Hans
Aug 26, 2015 · The word "dann" often takes first position in a normal statement sentence, is it inversion? [closed] Ask Question Asked 10 years, 6 months ago Modified 10 years, 6 months ago
Aphyocypris normalis is a species of freshwater ray-finned fish belonging to the family Xenocyprididae, the East Asian minnows or sharpbellies. This species
Psara normalis is a species of moth in the family Crambidae. It was described by George Hampson in 1918. It is found in Loja Province, Ecuador. Nuss, M
monotypic genus of moths of the family Noctuidae. Its sole species, Acerra normalis, is found in North America. "ACERRA - Butterflies and Moths of the World"
Cloesia normalis is a moth of the subfamily Arctiinae. It is found in Colombia. Beccaloni, G.; Scoble, M.; Kitching, I.; Simonsen, T.; Robinson, G.; Pitkin