On MAP Estimates and Source Conditions for Drift Identification in SDEs
ABSTRACT We consider the inverse problem of identifying the drift in an stochastic differential equation (SDE) from n$n$ observations of its solution at M+1$M+1$ distinct time points. We derive a corresponding maximum a posteriori (MAP) estimate, we prove differentiability properties as well as a so‐called tangential cone condition for the forward ...
Daniel Tenbrinck +3 more
wiley +1 more source
Multiscale Modeling Analysis of the Mechanical Behaviors and Failures of In Situ Particle Reinforced Titanium Matrix Composites Based on Microstructural Characteristics. [PDF]
Geng X +5 more
europepmc +1 more source
ABSTRACT In this work, we present an anisotropic multi‐goal error control based on the dual weighted residual (DWR) method for time‐dependent convection–diffusion–reaction (CDR) equations. Motivated by former work, we combine multiple goals to single error functionals with weights chosen as algorithmic parameters.
Markus Bause +5 more
wiley +1 more source
A Security-Enhanced Certificateless Aggregate Authentication Protocol with Revocation for Wireless Medical Sensor Networks. [PDF]
Fan Q, Wang Y, Li X.
europepmc +1 more source
Data Resolution and Model Complexity in Pluvial Flood Risk Assessment: Insights and Trade‐Offs
ABSTRACT The increasing severity and frequency of urban pluvial floods has prompted numerous research studies on pluvial flood risk assessment. However, the literature reveals significant variability in the data resolutions and model types employed.
Fabrizia Fappiano +2 more
wiley +1 more source
An Experimental Study on the Mechanical Properties and ANN-Based Prediction of a Tensile Constitutive Model of ECCs. [PDF]
Zhao Q +5 more
europepmc +1 more source
ABSTRACT Global warming has intensified the atmospheric water cycle, leading to more frequent and severe extreme precipitation events, which are a major driver of rainstorm‐induced flooding. Developing regions such as the China–Pakistan economic corridor (CPEC), spanning highly heterogeneous terrain and climate zones, face elevated risk due to limited ...
Mengting Liu, Min Xu, Xingdong Li
wiley +1 more source
Analysis of a Mathematical Model of Marital Satisfaction
ABSTRACT A large number of marriages end in divorce. In this paper, we present a model for the emotional state of a couple based on bilinear ordinary differential equations. We study the effect of changes of each individual's self‐emotional state on the couple's state.
Benito Chen‐Charpentier +2 more
wiley +1 more source
Efficient and Accurate Epilepsy Seizure Prediction and Detection Based on Multi-Teacher Knowledge Distillation RGF-Model. [PDF]
Cao W, Li Q, Zhang A, Wang T.
europepmc +1 more source
Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley +1 more source

