Abstract: A device and computer-implemented method for predicting a state of a technical system. A state of the technical system is detected and a time series is provided which comprises values which characterize a course of the detected state of the technical system. Using a learning-based model for predicting the short-term behavior of the technical system, a first value for the prediction is determined as a function of the values of the time series, and, using a physical model for predicting the long-term behavior of the technical system, a second value for the prediction is determined as a function of the values of the time series, and wherein a value of the prediction is determined as a function of the first value for the prediction and the second value for the prediction.

Abstract: A device and computer-implemented method for predicting a state of a technical system. A state of the technical system is detected. A time series is provided which includes values which characterize a course of the detected state of the technical system. Using a first filter, first filtered values for predicting the short-term behavior of the technical system are determined as a function of the values of the time series. Using a second filter, second filtered values for predicting the long-term behavior of the technical system are determined as a function of the values of the time series. A first value for the prediction is determined as a function of the filtered first values. A second value for the prediction is determined as a function of the filtered second values. A value of the prediction is determined as a function of the first and second values for the prediction.

Abstract: A method for training a machine learning model. The method includes: determining a plurality of training sequences of training-input data elements, wherein for each training sequence each training-input data element contains sensor data for a time point from a time period assigned to the training sequence in which a prespecified event takes place at least once at one or more respective event time points; determining, for each training-input data element, the temporal distance between the time point for which the training-input data element contains sensor data and one of the one or more respective event time points; and training the machine learning model depending on the determined temporal distances.

Abstract: A method for generating additional training data for training a machine learning algorithm is disclosed. The method includes (i) providing training data for training the machine learning algorithm, wherein the training data includes labeled sensor data from at least one sensor, (ii) transforming the training data for training the machine learning algorithm in a graph structure, wherein nodes in the graph structure represent objects represented in the corresponding sensor data, and wherein a starting node of the graph structure represents the position of the at least one sensor with respect to the objects represented in the corresponding sensor data, and (iii) generating additional training data for training the machine learning model by modifying the graph structure.

Abstract: A computer-implemented method of training a model for making time-series predictions of a computer-controlled system. The model uses a stochastic differential equation (SDE) comprising a drift component and a diffusion component. The drift component has a predefined part representing domain knowledge, that is received as an input to the training; and a trainable part. When training the model, values of the set of SDE variables at a current time point are predicted based on their values at a previous time point, and based on this, the model is refined. In order to predict the values of the set of SDE variables, the predefined part of the drift component is evaluated to get a first drift, and the first drift is combined with a second drift obtained by evaluating the trainable part of the drift component.

Abstract: A method for training a deep-learning-based machine learning algorithm. The method includes: providing training data for training the deep-learning-based machine learning algorithm, wherein the training data comprise sensor data; training, by a machine learning method, the deep-learning-based machine learning algorithm based on the training data; and subsequently optimizing at least one parameter of the trained deep-learning-based machine learning algorithm based on a non-differentiable cost function.

Abstract: A computer-implemented method for predicting a behavior of agents in a dynamic system with a multiplicity of interacting agents depending on the latent state thereof. For a plurality of components and for a plurality of time points up to a prediction time point, a value of a first moment of a first distribution, which models the latent state of the agents, is determined for each component. A value of a second moment of the first distribution is determined. An expected value for a first moment of a second distribution at the prediction time point is determined for each component depending on the value of the first moment of the first distribution at the prediction time point and depending on the value of the second moment of the first distribution at the prediction time point. The second distribution models the behavior of the agents depending on the latent state thereof.

Abstract: Active learning for operating a physical system. The method includes: providing a data set that comprises data points each comprising an input for operating the physical system, and a first and second observation of the physical system; training a multi-output Gaussian process for predicting the first observation for a given input with the data set; training a Gaussian process for predicting the second observation for a given input with the data set; determining with the data set an input for operating the physical system; determining the first and second observations that result from operating the physical system with the determined input; and adding a data point to the data set that comprises the determined input and the determined first and second observations.

Abstract: A device, computer program, and computer-implemented method for determining a variable of a technical system. An input variable is determined for a first model for determining the variable at a first temporal resolution. A first time series is provided, at the first temporal resolution, including values which characterize an operating variable of the technical system. A second time series is provided. at a second temporal resolution, including values which characterize the operating variable of the technical system, the first and second temporal resolutions being different. The second time series is mapped using a second model for determining a first prediction for the variable of the technical system at the second temporal resolution on the first prediction. Parameters of a second model are determined, using the second time series, which are mapped on parameters of a third model at the first temporal resolution.

Abstract: A computer-implemented method of training a model for making time-series predictions of a computer-controlled system. The model uses a stochastic differential equation (SDE) comprising a drift component and a diffusion component. The drift component has a predefined part representing domain knowledge, that is received as an input to the training; and a trainable part. When training the model, values of the set of SDE variables at a current time point are predicted based on their values at a previous time point, and based on this, the model is refined. In order to predict the values of the set of SDE variables, the predefined part of the drift component is evaluated to get a first drift, and the first drift is combined with a second drift obtained by evaluating the trainable part of the drift component.