Study connects landslide flow to integrable systems for harmonic maps.
problem Understanding the holonomy of complex landslide flow.
method Integrable systems approach to harmonic maps into symmetric spaces.
result Holonomy of complex landslide flow derived from harmonic map holonomy.
Unified model estimates landslide hazard combining susceptibility, intensity, and frequency.
problem Lack of unified statistical models for landslide hazard estimation.
method Deep learning combined with extreme-value theory.
result Model performs excellently and can estimate hazard for multiple return periods.
The landslide flow, introduced in [5], is a smoother analog of the earthquake flow on Teichmüller space which shares some of its key properties. We show here that further properties of earthquakes apply to landslides. The landslide flow is the Hamiltonian flow of a convex function. The smooth grafting map sgr taking …
The paper uses CNNs on Sentinel-2 imagery to assess landslide risks.
problem Landslide risk assessment and prediction.
method Image augmentation, 3-D CNNs, satellite imagery.
result CNNs achieve significantly better accuracy than baseline.
Emulator speeds up landslide run-out modeling sensitivity analysis.
problem Computational challenges in assessing landslide run-out model sensitivity.
method Gaussian process emulation integrated into r.avaflow.
result Strong interactions detected between friction coefficients and release volume.
Adaptive social media event detection improves accuracy by 350%.
problem Concept drift in event signals over time.
method Continuous concept drift adaptation using machine learning classifiers.
result 350% improvement in landslide detection accuracy.
We prove that for any convex globally hyperbolic maximal (GHM) anti-de Sitter (AdS) 3-dimensional space-time N with particles (cone singularities of angles less than π along time-like curves), the complement of the convex core in N admits a unique foliation by constant Gauss curvature surfaces. This extends, and …
Study on curvature bounds for specific hypersurfaces in Anti-de Sitter space.
problem Bounding principal curvatures of constant mean curvature hypersurfaces.
method Generalized convex hull concept and quantitative estimates based on width.
result Explicit bounds on sectional curvature and quasiconformal dilatation.
We prove that any weakly acausal curve Γ in the boundary of Anti-de Sitter (2+1)-space is the asymptotic boundary of two spacelike K-surfaces, one of which is past-convex and the other future-convex, for every K∈(−∞,−1). The curve Γ is the graph of a quasisymmetric homeomorphism of the circle if and only…
Real-time event detection using human sensor data and adaptive machine learning.
problem Lack of effective real-time event detection using human sensor data.
method Combination of corroborative and probabilistic sources with drift adaptive machine learning.
result Automated continuous learning maintains high performance in the face of concept drift.
Study immersions of surfaces into SL(2,C) with geometric applications.
problem Understanding immersions of surfaces into holomorphic Riemannian space forms.
method Introduced first and second fundamental forms, proved Gauss-Codazzi equations, and constructed equivariant maps.
result Holomorphic families of immersion data correspond to holomorphic immersions, providing a model for transitioning hypersurfaces.