Results 31 to 40 of about 298 (141)
Curvature effects on the empirical mean in Riemannian and affine Manifolds: a non-asymptotic high concentration expansion in the small-sample regime [PDF]
, 2019 The asymptotic concentration of the Fréchet mean of IID random variables on a Rieman-nian manifold was established with a central limit theorem by Bhattacharya & Patrangenaru (BP-CLT) [6]. This asymptotic result shows that the Fréchet mean behaves almost
Pennec, Xavier
core +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
Καμπυλότητα στην υπό-ριμάνεια γεωμετρία [PDF]
, 2019 In Chapter 2 we present the main de_nitions that will be used throughout the text. In Chapter 3 we de_ne the connections that will be used throughout the text.
Φουρτζής, Ιωάννης
core
Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley +1 more source
Earthquake Engineering &Structural Dynamics, EarlyView.ABSTRACT Viscous dampers (VDs) are widely used to mitigate the excessive responses of long‐span bridges. However, VDs face some intricate challenges in engineering practices, including high damping coefficient requirement, potential base shear amplification and tremendous damping force under high velocity. To address these issues, this study develops a
Ruisheng Ma +5 more
wiley +1 more source
H-hypersurfaces of N x R [PDF]
, 2011 Consideraremos F(N x R) o conjunto das H-hipersuperfÃcies fechadas M tal que M С N x R, onde N Ã uma variedade riemanniana simplesmente conexa com curvatura seccional limitada superiormente (KN ≤ -k2 < 0).
Heloisa FrazÃo da Silva
core
Energy Science &Engineering, EarlyView.We present a smart solar tracking method using artificial intelligence to improve the efficiency of solar panels. Unlike traditional techniques, our system learns and adapts to changing sunlight conditions, ensuring faster and more reliable power generation for real‐world energy needs.
Rida Amine +5 more
wiley +1 more source
FlexMat, EarlyView.Abstract Soft robots, engineered from highly compliant materials, offer superior adaptability and safety in unstructured environments compared to their rigid counterparts. Recent advancements, fueled by bio‐inspiration and material programmability, have led to the rapid co‐evolution of their core modules: actuation, sensing, protection, energy, and ...
Qiulei Liu +3 more
wiley +1 more source
New views of some invariants associated with the Cartesian 2D velocity gradient tensor
Quarterly Journal of the Royal Meteorological Society, EarlyView.Vorticity and divergence of horizontal flow are fundamental quantities in meteorology; both are linear functions of the four elements of the 2D velocity gradient tensor and both are formally unchanged under coordinate rotation. We explore four quadratic functions of the elements that are geometrically invariant in this sense, finding some novel ...
I. Roulstone, S. A. Clough, A. A. White
wiley +1 more source
A Novel Approach to Energy Management in Electric Steelworks
steel research international, EarlyView.Feed‐forward neural networks are exploited to estimate electric energy consumptions of the electric arc furnace and ladle furnace processes. The models are used to optimize production schedule so that more energy intensive grades are produced when the cost of energy is lower.
Valentina Colla +12 more
wiley +1 more source