AIMC Topic: Diffusion

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Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data.

Journal of mathematical biology
We propose a machine learning framework for the data-driven discovery of macroscopic chemotactic Partial Differential Equations (PDEs)-and the closures that lead to them- from high-fidelity, individual-based stochastic simulations of Escherichia coli...

Deep learning for diffusion in porous media.

Scientific reports
We adopt convolutional neural networks (CNN) to predict the basic properties of the porous media. Two different media types are considered: one mimics the sand packings, and the other mimics the systems derived from the extracellular space of biologi...

Stabilization of reaction-diffusion fractional-order memristive neural networks.

Neural networks : the official journal of the International Neural Network Society
This paper investigates the stabilization control of fractional-order memristive neural networks with reaction-diffusion terms. With regard to the reaction-diffusion model, a novel processing method based on Hardy-Poincarè inequality is introduced, a...

Diffusion characteristics classification framework for identification of diffusion source in complex networks.

PloS one
The diffusion phenomena taking place in complex networks are usually modelled as diffusion process, such as the diffusion of diseases, rumors and viruses. Identification of diffusion source is crucial for developing strategies to control these harmfu...

2D medical image synthesis using transformer-based denoising diffusion probabilistic model.

Physics in medicine and biology
. Artificial intelligence (AI) methods have gained popularity in medical imaging research. The size and scope of the training image datasets needed for successful AI model deployment does not always have the desired scale. In this paper, we introduce...

Securing Multimedia Using a Deep Learning Based Chaotic Logistic Map.

IEEE journal of biomedical and health informatics
Telemedicine and online consultations with doctors has become very popular during the pandemic and involves the transmission of medical data through the internet. Thus this raises concern about the security of the medical data of the patient as the r...

Deep learning prediction of diffusion MRI data with microstructure-sensitive loss functions.

Medical image analysis
Deep learning prediction of diffusion MRI (DMRI) data relies on the utilization of effective loss functions. Existing losses typically measure the signal-wise differences between the predicted and target DMRI data without considering the quality of d...

Synchronization of hybrid switching diffusions delayed networks via stochastic event-triggered control.

Neural networks : the official journal of the International Neural Network Society
In this paper, the synchronization problem of stochastic complex networks with time delays and hybrid switching diffusions (SCNTH) is concerned based on event-triggered control. Therein, a new class of event-triggered function is proposed for the con...

Topology, vorticity, and limit cycle in a stabilized Kuramoto-Sivashinsky equation.

Proceedings of the National Academy of Sciences of the United States of America
A noisy stabilized Kuramoto-Sivashinsky equation is analyzed by stochastic decomposition. For values of the control parameter for which periodic stationary patterns exist, the dynamics can be decomposed into diffusive and transverse parts which act o...

Robust Composite H Synchronization of Markov Jump Reaction-Diffusion Neural Networks via a Disturbance Observer-Based Method.

IEEE transactions on cybernetics
This article focuses on the composite H synchronization problem for jumping reaction-diffusion neural networks (NNs) with multiple kinds of disturbances. Due to the existence of disturbance effects, the performance of the aforementioned system would ...