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4 results about "Stochastic partial differential equation" patented technology
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Stochastic partial differential equations (SPDEs) generalize partial differential equations via random force terms and coefficients, in the same way ordinary stochastic differential equations generalize ordinary differential equations.
This invention relates to the field of medical artificial intelligence and discloses a comprehensive data acquisition and optimization system for CRRT based on artificial intelligence. The system includes: an acquisition and calibration module for acquiring CRRT equipment parameters, physiological signals, and laboratory test data to form multi-source data, and performing time alignment and spatial calibration to obtain calibration data; a modeling and estimation module for constructing a spatiotemporal dynamic model of material transport and biochemical reactions during the CRRT treatment process based on stochastic partial differential equations, and estimating state variables using calibration data to generate high-dimensional state data; and a fusion and inference module for performing dimensionality reduction and adversarial denoising on the high-dimensional state data. Through multi-source acquisition and spatiotemporal calibration of CRRT equipment parameters, physiological signals, and laboratory data, a foundation for treatment data is constructed. Based on stochastic partial differential equations, spatiotemporal dynamic modeling of material transport and biochemical reactions is performed, enabling dynamic characterization of the treatment process.
The invention relates to the field of seedling cultivation, and discloses a method for fusing water quality regulation and disease control in seedling cultivation, which comprises the following steps of: acquiring multi-field coupling space-time continuous data of a water quality field, a biological and physiological field, a medicament diffusion field and an environment auxiliary field in a seedling cultivation pond; performing fractional order multi-field data preprocessing on the multi-field coupling space-time continuous data to obtain a feature vector containing a long-time memory feature and a coupling feature; and constructing a fractional order LSTM-SPDE coupling prediction model formed by coupling the fractional order LSTM and a random partial differential equation based on the feature vector, and predicting water quality evolution data in a future preset duration by taking the real-time feature vector as input. Multi-field coupling space-time continuous data is acquired, information containing long-term memory features and multi-field coupling features is accurately extracted through fractional order multi-field data preprocessing, and the future water quality evolution trend and diseaserisk level are pre-judged in advance, so that dynamic cooperation, pre-judgment and long-term adaptation of water quality regulation and control and disease prevention and control are realized.