Results 61 to 70 of about 33,779 (212)
Initial State Privacy of Nonlinear Systems on Riemannian Manifolds
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this paper, we investigate initial state privacy protection for discrete‐time nonlinear closed systems. By capturing Riemannian geometric structures inherent in such privacy challenges, we refine the concept of differential privacy through the introduction of an initial state adjacency set based on Riemannian distances.
Le Liu, Yu Kawano, Antai Xie, Ming Cao
wiley +1 more source
On an evolution equation in sub-Finsler geometry
Analysis and Geometry in Metric SpacesWe study the gradient flow of an energy with mixed homogeneity, which is at the interface of Finsler and sub-Riemannian geometry.
Garofalo Nicola
doaj +1 more source
Moving frames for cotangent bundles
, 2002 Cartan's moving frames method is a standard tool in riemannian geometry. We set up the machinery for applying moving frames to cotangent bundles and its sub-bundles defined by non-holonomic constraints.Comment: 13 pages, to appear in Rep.
Ehlers, K. M. +2 more
core +1 more source
EvolvED: Evolutionary Embeddings to Understand the Generation Process of Diffusion Models
Computer Graphics Forum, EarlyView.EvolvED visualises how diffusion models generate images by embedding intermediate outputs to preserve semantics and evolutionary structure. It supports analysis via (a) user‐defined goals and prompts, (b) sampling intermediate images, (c) extracting relevant features, and (d) visualising them in structured radial and rectilinear layouts for ...
Vidya Prasad +5 more
wiley +1 more source
Sub-Riemannian geometry of non-differentiable bundles [PDF]
, 2018 We show that the Chow`s Theorem and an analogue of the Ball-Box Theorem from smooth Sub-Riemannian geometry holds true for a class of non-differentiable tangent subbundles that satisfy a geometric condition. In the final section of the paper we also give
Türeli, S
core
Corrections to: ``Sub-Riemannian geometry''
Journal of Differential Geometry, 1989 An error in the proof of Corollary 6.2 of [1] has been pointed out by Gerard Ben-Arous. The computation of M(x,λ) in the case λo = 0 on p. 243 is incorrect, because M(x,λ) = 0 when λ0 = 0 and λjg (x) = 0 for all k. (There is also a factor of \ missing in the formula as stated for λ0 φ 0, but this is not significant.) Thus when applying the Pontryagin ...
openaire +2 more sources
On the Electromagnetic Energy Flow Along Geodesics
Radio Science, Volume 61, Issue 1, January 2026.Abstract We present a field‐theoretic framework for modeling electromagnetic energy propagation in heterogeneous media by introducing the concept of electromagnetic geodesics. Unlike traditional ray optics, which assumes either a straight‐line propagation or a simple bending in refractive media, our approach formulates wave propagation as geodetic ...
Jacob T. Fokkema, Peter M. van den Berg
wiley +1 more source
Braided spaces with dilations and sub-riemannian symmetric spaces [PDF]
, 2011 Braided sets which are also spaces with dilations are presented and explored in this paper, in the general frame of emergent algebras arxiv:0907.1520. Examples of such spaces are the sub-riemannian symmetric spaces.
Buliga, Marius
core
On the Alexandrov Topology of sub-Lorentzian Manifolds
, 2013 It is commonly known that in Riemannian and sub-Riemannian Geometry, the metric tensor on a manifold defines a distance function. In Lorentzian Geometry, instead of a distance function it provides causal relations and the Lorentzian time-separation ...
A Korolko +18 more
core +1 more source
Vector‐Based and Machine Learning Approaches for Pore Network Parameters Analysis
Geophysical Prospecting, Volume 74, Issue 1, January 2026.ABSTRACT Accurate characterization of pore structures in carbonate rocks is critical for evaluating fluid flow and storage capacity in subsurface reservoirs, a key concern in geophysical exploration and reservoir engineering. This study proposes a hybrid digital rock physics workflow that integrates deep learning–based segmentation, vectorial geometric
José Frank V. Gonçalves +4 more
wiley +1 more source