715 results about "Partial differential equation" patented technology

The invention discloses a supply chain financial risk management system based on credit assessment, and relates to the field of financial science and technology. A five-dimensional data model is constructed through a dynamic data modeling unit, and transaction subject levels and legal potency dimensions are integrated; the causal analysis engine adopts a dynamic updating algorithm of time sequence feature coding and compliance score constraint, and introduces a legal potency score constraint mechanism to strengthen compliance verification. The cross-domain risk conduction model combines physical space voxel grid monitoring with a digital space fluid dynamic equation, and the risk conduction velocity is quantified through a risk diffusion coefficient and a partial differential equation; and the self-evolution defense module integrates a confrontation sample generator and an incorruption degree feedback mechanism, simulates logistics track abnormity through Levy distribution, and improves the defense capability of the system in combination with a dynamic weight adjustment strategy of approval skipping times. According to the system, the deep supply chain risk conduction path identification precision is improved, and the problems of a multi-level network risk monitoring blind area and cross-domain risk tracking lag are effectively solved.

The invention relates to a proton exchange membrane fuel cell (PEMFC) high current density performance prediction method, system, equipment and medium. The method comprises the following steps: establishing a multi-physical field coupling model which comprehensively considers complex processes such as electrochemical reaction, proton conduction, gas diffusion and heat transfer, and describing the change of each physical quantity by adopting a partial differential equation based on a basic physical law; performing grid division and numerical discretization on the proton exchange membrane fuel cell model; selecting model parameters, and verifying the model through experimental data of different working conditions; inputting actual working condition parameters into a model to predict performance, and analyzing a simulation result; using a convolutional neural network, a recurrent neural network and an auto-encoder to extract features from different types of data and fuse the features to form a comprehensive feature vector; a deep neural network prediction model is constructed, and a cross entropy loss function and an Adam optimizer are adopted for training; dropout, L1 and L2 regularization, k-fold cross validation and transfer learning are utilized to optimize the model, and the generalization ability is improved; the system, the equipment and the medium realize high current density performance prediction of the proton exchange membrane fuel cell (PEMFC) based on the method; the prediction precision is improved, the experiment cost is reduced, the internal mechanism can be deeply understood, and powerful support is provided for design optimization, operation management and fault diagnosis of the fuel cell.

The invention belongs to the technical field of turbulent flow field prediction and deep learning, and discloses an incompressible turbulent flow field prediction method based on a potential diffusion model. The method comprises the following steps: acquiring original turbulence data; processing the turbulence data; constructing a turbulence prediction model; model training; and evaluating the model and the like. The model of the technical scheme of the invention specifically comprises the following steps: designing a multi-scale Fourier auto-encoder for extracting multi-scale space and frequency domain features in a turbulence field and obtaining a global structure and a local scale structure of turbulence; a novel accelerated sampling method is proposed and introduced in the diffusion process, namely a diffusion probability model solver greatly shortens the reasoning time in a potential space and keeps high fidelity in long-time-sequence prediction; a physical constraint loss item based on a partial differential equation is introduced, and a Navier-Stokes equation (N-S) is explicitly introduced into a training process, so that the physical consistency of results is effectively improved, and errors are remarkably reduced.

The invention discloses a central air conditioner energy-saving control method based on AI self-adaptive adjustment, and relates to the technical field of intelligent control, and the method comprises the following steps: collecting environmental data, equipment operation data and energy consumption data of a central air conditioner in real time, preprocessing multi-modal data, constructing a physical constraint equation in combination with a thermodynamic law, and generating a multi-modal data set; generating a multi-target optimization control instruction according to the optimization weight, solving an optimal equipment parameter combination through a Pareto frontier algorithm, and transmitting the optimal equipment parameter combination to a central air conditioner actuator; actual data after instruction execution are collected, the deviation degree of the energy-saving efficiency and the comfort degree is calculated, physical information neural network parameters are updated through a meta-learning framework, and thermodynamic partial differential equation coefficients are adjusted. According to the method, by constructing a multi-modal physical information fusion framework and a dynamic closed-loop optimization system, the comprehensive regulation and control capability of the central air conditioner in a complex building environment is improved.

The invention discloses a multi-agent spatio-temporal dynamic system intrusion tolerance and fault tolerance cooperative security consistency control method. The method comprises the following steps: constructing mathematical models of a leader and a follower of a multi-agent spatio-temporal dynamic system based on a partial differential equation; constructing a mathematical model of actuator faults and spoofing attacks; defining a consistency condition to obtain an error system; constructing a proper Lyapunov functional, and obtaining a system stability criterion by using a Lyapunov stability theory; and the error of the multi-agent space-time dynamic system tends to zero by using the state feedback controller, so that the system realizes safety consistency control. The invention comprehensively considers that a multi-agent space-time dynamic system is easy to have actuator faults in a complex environment and is easy to suffer from network attacks in network communication, introduces an intrusion tolerance and fault tolerance cooperative security consistency control method, improves the robustness of the system, and improves the reliability of the system. And the multi-agent space-time dynamic system can achieve a safety consistency control target.

The invention relates to the technical field of ocean data interpolation filling, in particular to a space-time deficiency filling method and system based on context association and physical guidance. The method comprises the following steps: acquiring seawater dissolved oxygen data and context data; multivariable space-time dependence extraction is carried out based on the obtained seawater dissolved oxygen data and context data; gaussian noise diffusion is carried out based on the obtained seawater dissolved oxygen data; noise prediction is carried out based on double-view space-time correlation; and the prediction error is constrained based on the joint loss function. According to the method, a physical consistency constraint mechanism based on a partial differential equation is introduced in a model training process, so that model output better conforms to a physical coupling rule among variables in a marine environment. The constraint effectively inhibits non-physical fluctuation possibly occurring in the interpolation result, enhances the physical credibility and interpretability of the result, and provides a more reliable data basis for subsequent scientific analysis and process modeling.

The invention discloses a physical information fused aero-engine residual life prediction method, and belongs to the field of neural network residual life prediction. The method comprises the following steps: acquiring sensor data of the whole process from engine simulation operation to fault, and performing standardization and windowing preprocessing; establishing a time-space dual-channel multi-layer perceptron model, extracting time dimension and feature dimension information of the signal, performing self-attention fusion with original data, completing mapping to a life prediction value, and calculating an error with a real life; establishing a physical information neural network model, learning a hidden partial differential equation among a predicted life value, time and a hidden state, and performing error calculation with an equation in an equilibrium state; and performing self-attention fusion with the life error to obtain comprehensive loss so as to continuously train the model until the error is minimum, and finishing final life prediction. Physical information is fused on the basis of the multi-layer perceptron, the complexity of the model is simplified, and the prediction precision of the residual life of the engine is improved.

The invention discloses a three-dimensional unstructured grid adaptive refinement method and system based on machine learning, and belongs to the field of machine learning, partial differential equation solving and computational fluid mechanics simulation. Residual errors of a fluid control equation are used as a novel error indicator and a refinement criterion, imprecise flow field data and the fluid control equation are obtained by fusing coarse grids of simulation flow through a physical information neural network, and the total residual errors of the equations are conveniently calculated by using automatic differentiation after training is completed. Therefore, the coarse grid units with relatively high residual errors can be adaptively marked and refined. By matching an h-refinement scheme, Delaunay tetrahedron subdivision is executed after vertexes are strategically inserted to maintain the quality of the refined grid. According to the method, any numerical solver can be flexibly matched to carry out grid adaptive refinement, so that various typical flow problems can be solved with high precision. The method achieves better balance between calculation precision and the number of grids, and has the advantages of being simple, convenient, high in compatibility and universality and the like.

The invention relates to the technical field of coal mine geological safety monitoring and disaster early warning, in particular to a coal mine disaster early warning method and system based on a geological model and a storage medium, and the method comprises the steps: firstly obtaining high fractal fracture information and monitoring data such as gas, hydrology and stress through chaotic wave excitation and fractal analysis; and a three-dimensional fractal grid with multi-level fracture representation is constructed. And discretizing a mechanical field and a fluid field by using a fractal partial differential equation operator, and globally solving a large-scale nonlinear equation through a quantum annealing mode or a quantum and classical combined annealing mode to form a quantum fractal coupling simulation result. And finally, integrating the grid units and monitoring data in the fuzzy hypergraph structure, carrying out fuzzy membership analysis on a multi-disaster element coupling sign, and outputting early warning information once the risk is judged to reach a threshold value. According to the invention, the precision and timeliness of coal mine geological disaster monitoring can be obviously improved.

The invention discloses a soil water and salt dynamic monitoring and quality evaluation method based on multispectral remote sensing, and relates to the field of geological monitoring, and the method comprises the steps: carrying out the scattering deviation correction and roughness correction of an observation spectrum through a satellite remote sensing image, an unmanned aerial vehicle multispectral image, a ground sample and meteorological driving data; the soil intrinsic reflectivity, the vegetation coverage component and the salt crusting component are obtained; a water-salt inversion model is established by combining thermal infrared and red edge wave band information, and multi-temporal soil volumetric moisture content and surface salinity index are inverted; by introducing meteorological conditions and vegetation dynamic characteristics, a water-salt coupling partial differential equation and a graph space-time constraint model are constructed, and continuous space-time distribution of soil water content and salinity is obtained; extracting salinity, moisture, vegetation response and soil health indexes, establishing a soil quality comprehensive evaluation model, and outputting high-risk plaques and a treatment priority sequence. The method realizes dynamic monitoring and quality grading evaluation of soil water and salt, and is suitable for saline-alkali soil treatment and ecological restoration.

The invention discloses a method and a system for predicting a temperature field of a high-capacity energy storage lithium ion battery. The method comprises the following steps: acquiring temperature values of a few temperature measuring points of the lithium ion battery to be predicted; inputting the obtained temperature value into a preset physical information-neural network model for prediction to obtain a temperature field of the lithium ion battery cell to be predicted; wherein the preset physical information-neural network model comprises a basic neural network part and a physical information fusion part, and the physical information fusion part adds a battery heat transfer differential equation and a battery boundary condition as physical information constraints in a neural network training process; the loss function in the neural network comprises boundary loss, partial differential equation loss and observation data set loss. The system comprises a data acquisition module and a data processing module. According to the method, the neural network algorithm is combined with the lithium battery heat transfer model, and temperature field inversion of the high-capacity battery is realized.

The invention discloses a pipeline flow field remodeling method based on LAAF-PINN, and the method comprises the steps: collecting the flow field data of a pipeline measurement point; dividing the measuring points into monitoring points and testing points, and preprocessing the data sequence; constructing an LAAF-PINN, randomly selecting a matching point along a pipeline, and inputting a time-space sequence of the monitoring point and the matching point to obtain model output; calculating a data loss item according to the model output of the monitoring point, calculating a residual error according to the model output of the collocation point to obtain a partial differential equation loss item, and combining the two items to obtain total loss; after multiple rounds of iteration updating, a trained PINN model is obtained, a time-space sequence of a test set is input, and corresponding flow field information can be quickly and accurately reconstructed. According to the method, the LAAF-PINN is applied to pipeline hydraulic transient research, an existing flow field remodeling method is expanded, good robustness is achieved for data containing uncertain factors, and meanwhile the problem that the calculation precision is not high possibly existing in forward simulation is solved.

A spatiotemporal dynamic system soft measurement method for automatically determining a partial differential equation structure, belonging to the technical field of the soft measurement of neural networks. The method comprises: first, constructing a loss function used for training a coupled physics-informed neural network having a recurrent prediction mechanism, so as to obtain solutions and source items that meet a partial differential equation used for describing a spatiotemporal industrial process; second, using an automatic differential method to obtain a differential operator candidate library, and selecting an appropriate partial differential equation structure from the differential operator candidate library to accurately describe the spatiotemporal industrial process; and finally, using a heat diffusion phenomenon and an actual vibration process to verify a soft measurement result. The CPINNRP-AIC provided in the present invention is applicable to a soft measurement method for multiple types of dynamic systems having spatiotemporal dependency features, comprising a heat diffusion phenomena in an actual industrial process, a fluctuation phenomena in an actual vibration process, etc. The present invention can realize the effective acquisition of key variable values during the operation of high-end complex equipment, such as an aero-engine, thereby providing assurance for a good control performance and safe operation stability of high-end industrial equipment, and has practical engineering application significance.

The invention relates to the technical field of microbial ecological information processing, and discloses a microbiome functional activity prediction method and system, and the method comprises the steps: collecting dynamic environment factor data in soil in real time through a sensor, and carrying out the preprocessing of the dynamic environment factor data; establishing a partial differential equation model based on the preprocessed data; the partial differential equation model comprises a diffusion term, a reaction term and an environmental factor coupling term; optimizing the differential equation model parameters by using a neural network, and carrying out transfer learning training on the partial differential equation model parameters based on historical data; and predicting the activity grade and function of the microorganisms on the basis of the optimized model for the functional activity of the microorganisms. The adaptability and generalization ability of the model in different soil areas are remarkably improved, and closed-loop processing from function activity numerical value prediction to function classification output is achieved.

A method for solving a stochastic differential equation includes receiving by a classical computer a partial differential equation describing dynamics of a quantile function QF associated a stochastic differential equation defining a stochastic process as a function of time and variable(s) and the QF defining a modelled distribution of the stochastic process; executing by the classical computer a first training process for training neural network(s) to model an initial quantile function, the neural network(s) being trained by a special purpose processor based on measurements of the stochastic process; executing by the classical computer a second training process wherein the neural network(s) are further trained based on the QFP equation for time interval(s) to model the time evolution of the initial quantile function; and, executing by the classical computer a sampling process including generating samples of the stochastic process using the quantile function, the generated samples representing solutions of the SDE.

The invention provides a topology and morphology integrated optimization design method for a thin-walled structure. The method comprises the steps that 1, a finite element model is established according to design requirements; 2, extracting a thin-wall structure morphology distribution field # imgabs0 # through two-step partial differential equation filtering and Heavide projection operation; 3, constructing a material attribute rational approximation model in combination with the thin-wall morphology distribution field # imgabs1 # and the topological density field v obtained in the step 2, thereby obtaining an elastic modulus E and mass rho in a design domain; 4, performing finite element analysis in combination with the material interpolation model, and calculating the flexibility of the structure; 5, solving to obtain the sensitivity of the structure flexibility and the quality relative to the design variables; step 6, updating the morphology design variable mu and the topology design variable v of the thin plate by adopting a moving asymptote method; and step 7, when a convergence condition is satisfied, stopping optimization iteration and outputting an optimization result. According to the method, the maximum forming angle of the thin-wall structure is controlled by adjusting the filtering radius of the anisotropic filter, and the stamping forming process is met.

A method for training a shape optimization neural network to produce an optimized point cloud defining desired shapes of materials with given properties is provided. The method comprises collecting a subject point cloud including points identified by their initial coordinates and material properties and jointly training a first neural network to iteratively modify a shape boundary by changing coordinates of a set of points in the subject point cloud to maximize an objective function and a second neural network to solve for physical fields by satisfying partial differential equations imposed by physics of the different materials of the subject point cloud having a shape produced by the changed coordinates output by the first neural network. The method also comprises outputting optimized coordinates of the set of points in the subject point cloud, produced by the trained first neural network.

The invention relates to a vegetable cultivation environment optimization system and method based on big data analysis, and belongs to the field of agricultural intelligent management. Comprising the following steps: acquiring environmental data such as climate, soil and water quality in real time, and preprocessing the environmental data; the preprocessed data are stored in a classified mode, and efficient management is achieved through multi-node synchronization and data indexing; modeling and training the historical data and the real-time data by using a multiple regression model, a high-order partial differential equation and a deep learning algorithm to generate a prediction model of the environment and the crop growth; and an optimization decision is generated based on the model and is executed and adjusted in real time through an automatic control system. According to the invention, the yield and quality of vegetables are effectively improved, and the loss caused by environmental fluctuation is reduced.

The invention discloses a physical field solving method based on a Bayesian physical information extreme learning machine, and the method comprises the steps: constructing a single-layer full-connection neural network, carrying out the random initialization, and fixing the weight of an input layer; based on a partial differential equation of a physical system and boundary conditions thereof, defining a training loss item containing physical information; a physical system solving problem is converted into a linear least square problem, and a linear equation set is constructed; supposing that an output layer weight parameter obeys Gaussian prior distribution with the mean value being zero, and controlling a covariance matrix by an adjustable hyper-parameter; constructing a Gaussian likelihood function based on the observation data, and calculating posterior distribution of the output weight in combination with the prior distribution; carrying out iterative optimization on the hyper-parameter by adopting an evidence maximization method to obtain a mean value and a covariance of posterior distribution; based on posterior distribution, adopting a Monte Carlo integral method to generate prediction output of the physical system; and performing uncertainty quantization based on the variance of prediction output, and outputting a prediction value and a confidence interval thereof.

The invention discloses a pavement temperature field parameter inversion and data fusion method, and the method comprises the steps: building a pavement temperature field solving partial differential equation based on a heat conduction theory; representing an initial condition, a boundary condition and a measuring point temperature of a pavement temperature field based on an interpolation algorithm; normalizing the solution domain, generating sampling point coordinates at the pavement temperature solution domain and the boundary based on a random sampling method, and taking the sampling point coordinates as input variables of the deep neural network; based on the coordinates of the sampling points, a normalized operator value of the sampling points is obtained in combination with a deep neural network and an automatic differential algorithm; combining initial conditions and boundary conditions, fusing actually measured temperature data, and constructing a total loss function of the deep neural network through a weighted summation method; and based on gradient descent and a total loss function, deep neural network training is carried out, adaptive sampling is carried out according to partial differential equation loss of the current neural network, and finally pavement temperature field prediction is realized. According to the invention, high-precision prediction of the pavement temperature field is realized.

The invention discloses a method and system for solving a partial differential equation based on a KAN and MLP parallel structure, and belongs to the technical field of deep learning. The method comprises the following steps: constructing a parallel neural network comprising a KAN branch and an MLP branch, and introducing a fusion factor to carry out weighted fusion on the output of the KAN branch and the output of the MLP branch; based on a physical information neural network principle, constructing a loss function comprising an equation residual term, an initial condition term and a boundary condition term; training the parallel neural network by using an adaptive optimization algorithm, and minimizing the loss function; and inputting variables in the partial differential equation into the trained parallel neural network, and outputting a solution of the partial differential equation. By effectively combining the nonlinear expression ability of MLP and the function modeling advantage of KAN, the expression and solution ability of a multi-scale, non-stationary and complex physical field is improved; the modeling precision and convergence stability of a complex physical system, especially a partial differential equation driving problem, can be effectively improved.

The invention discloses a numerical simulation method for a semiconductor device based on spatial discretization and uncoupling iteration. The method comprises the following steps: establishing a basic equation set of the semiconductor device; spatial discretization is carried out on the non-uniform hexahedral mesh; discretizing the current equation to obtain a drift diffusion model equation set in a three-dimensional discrete format; and sequentially solving each equation in the drift diffusion model equation set by adopting a Gummel uncoupling method. According to the semiconductor device numerical simulation method based on spatial discretization and uncoupled iteration provided by the invention, a semiconductor partial differential equation is subjected to three-dimensional spatial discretization by adopting an FDM method, and a large-scale nonlinear equation set is solved by adopting a Gummel uncoupled iteration method, so that physical characteristics and internal physical images of the device are obtained; the occupied computer memory is relatively low, the method is not sensitive to an initial value, and the simulation speed is greatly improved.

The invention provides a progressive addition lens design method based on free-form surface expression, is mainly used for vision correction of presbyopia groups, and belongs to the field of eye vision optical design. According to the design method, focal power matching and astigmatism minimization of the progressive multi-focus lens are achieved by optimizing the free-form surface, the design method constructs a nonlinear functional minimization problem by means of free-form surface expression, and meanwhile an optimized initial solution is obtained by solving a linear fourth-order partial differential equation related to a spherical base disturbance term; according to the method, astigmatism in an effective area of the lens can be minimized on the premise of realizing focal power matching as far as possible, high astigmatism areas on two sides of the progressive channel are transferred to an edge area of the lens, and various customization requirements including specific light adding degree, channel length, effective visual area range and the like can be met for a wearer.

The invention relates to the technical field of water conservancy projects, in particular to a water conservancy project construction progress intelligent management system. The method comprises the following steps: acquiring geometric and semantic information, a three-dimensional geological parameter distribution diagram and mechanical pose data in a BIM model, performing primary processing on the acquired data, segmenting the geometric and semantic information in multi-modal water conservancy construction data, and mapping time sequence data to a process state space to obtain cross-modal semantic alignment data; performing space-time-physical joint embedding representation on the cross-modal semantic alignment data, establishing an identification model based on a PINN physical information neural network, and introducing a partial differential equation residual term into a loss function of the model to obtain a construction progress deviation identification model; and inputting the characteristic water conservancy construction data into a construction progress deviation identification model for identification to obtain a construction progress result. The method can accurately recognize the construction progress deviation, and provides a reliable decision basis for the construction management of a water conservancy project.

The invention relates to the technical field of image analysis, and discloses an end-to-end visual tactile perception method and system based on a morphology-force field analysis model, a terminal and a storage medium, and the method comprises the steps: employing a morphology reconstruction module to achieve the analysis of a micron-order contact surface, employing a force field analysis model to achieve the precise analysis of a force field in each direction, and taking the two results as a data set, inputting and mapping the image into contact morphology, normal and shear force distribution through an end-to-end network, integrating the high efficiency of data driving and the reliability of physical consistency, and finally introducing partial differential equation residual error sum into a loss function to carry out optimization. And the morphology and the force field meet the set physical consistency on the whole. According to the method, micron-sized morphology analysis and multi-axial force synchronous estimation are realized, the real-time robust performance under a high-frequency dynamic task is realized, the cost of tactile perception is reduced, and meanwhile, the accuracy of a tactile perception result is improved.

The invention discloses a rapid heat transfer simulation method and device based on a neural network, and relates to the technical field of physical simulation. The method comprises the steps that a hybrid neural network model is trained, the model learns operator mapping from an input function to a temperature or heat flow field, and meanwhile physical constraints such as a heat conduction partial differential equation are coded into a loss function; for a new simulation task, single forward inference is carried out by using the operator mapping, and an initial prediction result is rapidly generated; then, according to physical constraints of coding, calculating a physical residual error of initial prediction, and when the residual error exceeds a preset threshold value, executing a small amount of optimization iteration by taking the prediction as an initial value to carry out rapid local correction; the problems that a traditional numerical method is long in calculation time and an existing neural network method is insufficient in physical fidelity are solved, and high efficiency and high precision of heat transfer simulation are achieved.

The invention discloses a security boundary consistency control method for a multi-agent spatio-temporal dynamic system. The method specifically comprises the following technical steps: firstly, constructing a leader-follower spatio-temporal dynamic mathematical model of the multi-agent system based on a partial differential equation; then establishing an abnormal working condition mathematical model containing an actuator fault and a network spoofing attack; deducing to obtain an error dynamic system equation by defining a system consistency control target; constructing an energy function by using a Lyapunov stability theory, and deducing to obtain a system stability criterion; finally, a security boundary consistency control method is designed, and multi-agent space-time dynamic consistency control is achieved. The method effectively solves the problem of high cost caused by arrangement of actuators in a whole spatial domain in a traditional scheme and the problem that a multi-agent system is easily interfered by network attacks in a communication process, and has remarkable application value in engineering practice.

The invention relates to the technical field of underground engineering safety monitoring and disaster simulation, in particular to a digital twinborn deduction platform for underground engineering disaster chain evolution simulation, which comprises a multi-disaster coupling numerical simulation module used for acquiring multi-source data including design drawing data, geological data and engineering monitoring data, and based on the multi-source data, establishing an initial stress field model by using a numerical calculation method combining a finite element and a finite difference, and carrying out leakage-settlement-structure failure multi-disaster coupling numerical simulation. According to the method, the partial differential equation for describing the evolution law of the underground engineering is used as a constraint term to be embedded into the deduction model, and online identification and dynamic extrapolation of parameters are executed by fusing real-time monitoring data, so that the accuracy of disaster evolution simulation under complex working conditions is remarkably improved; and the problem that the traditional numerical calculation method is difficult to meet the real-time requirement of digital twinning is solved.

The invention provides a flow field solving method based on a time sequence physical information neural network, and belongs to a partial differential equation calculation method. The method comprises the following steps: firstly, determining a flow field motion law and a flow field computational domain based on a fluid motion control equation, configuring data points for training and performing data fusion operation; secondly, constructing a physical constraint residual equation, taking the training data set as input data of a neural network, calculating a data residual term, weighting a calculation result of the physical constraint residual equation and a calculation result of the data residual term, and constructing a data-physical mixed loss function; and finally, constructing a time sequence-based physical information neural network, performing training optimization on parameters of the time sequence-based physical information neural network, completing training and obtaining simulated flow field features. By introducing the time sequence module, the accuracy of flow field dynamic simulation based on the time sequence physical information neural network is improved, the requirement for the model solving speed can be met, and the feasibility and accuracy of the model are guaranteed.

The application relates to a computer-implemented method for configuring and / or controlling a bioprocessing system that is configured to physically perform and / or simulate a bioprocess, a respective computer program product, a method for performing a bioprocess, a control device for controlling and / or configuring a bioprocessing system and a bioprocess. The method uses a probabilistic algorithm to determine a predictive posterior distribution for a target set of model parameter values and configure and / or control at least one state parameter of the bioprocessing system cand / or bioprocess based on the determined predictive posterior distribution. The probabilistic algorithm employs a combination of evaluation methods based on a common physical model, including a numerical simulation method, a search method for searching in a data storage storing a plurality precomputed solution-parameter sets of the physical model and an artificial intelligence based method using a physics informed artificial intelligence model (such as physics informed neural network model), which is trained based on the solutions of the physical model generated by the simulation method and the physical model.