Method for environmentally dependent operation of a hearing system, wherein in a training phase - values are determined for a first plurality of environmental data of a first user of the hearing system at a plurality of sampling times (T1, T2, T3), and on the basis of the values of the environmental data for each of the sampling times (T1, T2, T3) a feature vector (M1, M2, M3) is formed in an at least four-dimensional, in particular at least six-dimensional, feature space, - each of the feature vectors (M1, M2, M3) is mapped in each case onto an associated representative vector (R1, R2, R3) in a maximally three-dimensional, in particular two-dimensional, representation space, and - by means of a spatial distribution of a subset of representative vectors (R1, R2, R3), a first region in the representation space is defined for a first environmental situation of the hearing system, wherein for the first environmental situation at least one value of a setting for signal processing of the hearing system is specified, and wherein in an application phase - values for the first plurality of environmental data of the first user or a second user of the hearing system are determined at an application time and a corresponding feature vector for the application time is formed on the basis of the values of the environmental data, - on the basis of the first region of the representation space and on the basis of the feature vector for the application time, a presence of the first environmental situation is detected, and the at least one value of the signal processing of the hearing system is set, in particular automatically, according to its specification for the first environmental situation, and - the hearing system is operated with the at least one value set in this way, and wherein for the first plurality of environmental data acoustic environmental data is determined by means of a signal of at least one electroacoustic input transducer, characterized in that for the first plurality of environmental data, in addition - motion-related environmental data is determined based on at least one signal from an acceleration sensor and/or a gyroscope, and/or - location-related environmental data is determined based on at least one signal from a GPS sensor and/or a WLAN connection, and/or - biometric environmental data is determined using an ECG sensor and/or an EEG sensor and/or a PPG sensor and/or an EMG sensor. - values are determined for a first plurality of environmental data of a first user of the hearing system at a plurality of sampling times (T1, T2, T3), and on the basis of the values of the environmental data for each of the sampling times (T1, T2, T3) a feature vector (M1, M2, M3) is formed in an at least four-dimensional, in particular at least six-dimensional, feature space, - each of the feature vectors (M1, M2, M3) is mapped in each case onto an associated representative vector (R1, R2, R3) in a maximally three-dimensional, in particular two-dimensional, representation space, and - by means of a spatial distribution of a subset of representative vectors (R1, R2, R3), a first region in the representation space is defined for a first environmental situation of the hearing system, wherein for the first environmental situation at least one value of a setting for signal processing of the hearing system is specified, and wherein in an application phase - values for the first plurality of environmental data of the first user or a second user of the hearing system are determined at an application time and a corresponding feature vector for the application time is formed on the basis of the values of the environmental data, - on the basis of the first region of the representation space and on the basis of the feature vector for the application time, a presence of the first environmental situation is detected, and the at least one value of the signal processing of the hearing system is set, in particular automatically, according to its specification for the first environmental situation, and - the hearing system is operated with the at least one value set in this way, and wherein for the first plurality of environmental data acoustic environmental data is determined by means of a signal of at least one electroacoustic input transducer, characterized in that for the first plurality of environmental data, in addition wherein for the first plurality of environmental data acoustic environmental data is determined by means of a signal of at least one electroacoustic input transducer, characterized in that for the first plurality of environmental data, in addition - motion-related environmental data is determined based on at least one signal from an acceleration sensor and/or a gyroscope, and/or - location-related environmental data is determined based on at least one signal from a GPS sensor and/or a WLAN connection, and/or - biometric environmental data is determined using an ECG sensor and/or an EEG sensor and/or a PPG sensor and/or an EMG sensor.