Results 111 to 120 of about 61,087 (328)
Advanced Science, EarlyView.This study generates high‐fidelity synthetic longitudinal records for a million‐patient diabetes cohort, successfully replicating clinical predictive performance. However, deeper analysis reveals algorithmic biases and trajectory inconsistencies that escape standard quality metrics. These findings challenge current validation norms, demonstrating why a
Francisco Ortuño +5 more
wiley +1 more source
Advances in Difference Equations, 2019 This paper is concerned with an optimal control problem for a linear stochastic differential equation (SDE) of mean-field type, where the drift coefficient of observation equation is linear with respect to the state, the control and their expectations ...
Haiyan Zhang
doaj +1 more source
Fully Discrete Schemes and Their Analyses for Forward-Backward Stochastic Differential Equations [PDF]
, 2018 Kazufumi Ito, Yufei Zhang, Jun Zou
openalex +1 more source
Discrete & Continuous Dynamical Systems - A, 2015 This paper is concerned with the switching game of a one-dimensional backward stochastic differential equation (BSDE). The associated Bellman-Isaacs equation is a system of matrix-valued BSDEs living in a special unbounded convex domain with reflection on the boundary along an oblique direction.
Hu, Ying, Tang, Shanjian
openaire +3 more sources
Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
Advanced Science, EarlyView.A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
wiley +1 more source
On Stochastic Maximum Principle: A Backward Stochastic Partial Differential Equations Point of View [PDF]
, 2020 Ishak Alia, Mohamed Alia
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Advanced Science, EarlyView.This study constructed the first spatiotemporal multi‐omics map of peach fruit and discovered a key candidate gene that synergistically regulates trichome development and drought tolerance through the jasmonic acid signaling pathway, providing insights into the coupling mechanism between development and stress resistance.
Zhixin Liu +9 more
wiley +1 more source
A multi-dimensional FBSDE with quadratic generator and its applications
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 We consider, in the Markovian framework, a multi-dimensional forward - back - ward stochastic differential equation with quadratic growth for the generator function of the backward system.
Rotenstein Eduard
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Karpatsʹkì Matematičnì Publìkacìï, 2019 This paper is devoted to a partial differential equation approach to the problem of construction of Feller semigroups associated with one-dimensional diffusion processes with boundary conditions in theory of stochastic processes.
R.V. Shevchuk +2 more
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Stochastic partial differential equations with singular terminal condition
, 2015 In this paper, we first prove existence and uniqueness of the solution of a backward doubly stochastic differential equation (BDSDE) and of the related stochastic partial differential equation (SPDE) under monotonicity assumption on the generator.
Matoussi, A. +2 more
core +1 more source