Techniques are described for using variables associated with vehicle wheels (e.g., linear velocity at a wheel and orientation of the wheel) to estimate velocity of a vehicle during a turn maneuver. In examples of the disclosure, in association with one or more wheels, a wheel orientation during the maneuver and a linear speed during the maneuver may be determined, and well as a yaw rate (e.g., from an inertial measurement unit, gyroscope, etc.) of the vehicle. Examples of the present disclosure include, based on the variables associated with the wheel(s) and the yaw rate associated with the turn maneuver, estimating a vehicle velocity, which may be used by various downstream components, such as to determine or update a pose of a vehicle as part of a localization operation.

Methods and systems for performing an operation on at least one homomorphically encrypted ciphertext, the method include determining, by a computing device, a value that is an initial approximation of a result of the operation on the at least one homomorphically encrypted ciphertext; and iteratively improving, by the computing device, the value using a recurrence relation wherein a number of iterations is determined based on a predetermined accuracy to minimize an approximation error.

Methods and systems for performing an operation on at least one homomorphically encrypted ciphertext, the method include determining, by a computing device, a value that is an initial approximation of a result of the operation on the at least one homomorphically encrypted ciphertext; and iteratively improving, by the computing device, the value using a recurrence relation wherein a number of iterations is determined based on a predetermined accuracy to minimize an approximation error.

A method for supervising an air traffic tracking system, in a current situation of the tracking system as defined by a position and a speed vector relating to at least one aircraft is provided. The method comprises a step of determining performance indicator values representing the current situation. The method comprising the steps of: determining an operating feature of the tracking system for the current situation on the basis of the performance indicator values; if the operating feature is representative of an operating abnormality of the tracking system, determining at least one performance indicator corresponding to the operating abnormality, and determining values of the at least one performance indicator corresponding to normal operation; determining at least one quality of service measure of the tracking system for the current situation based on the performance indicator values; if the at least one quality of service measure is representative of a degradation in the quality of service, determining at least one performance indicator corresponding to the degradation in the quality of service; executing at least one evaluation process associated with the at least one performance indicator corresponding to the operating abnormality and/or to the degradation in the quality of service.

A spatial data downscaling method executed by a computer including a memory and a processor, includes acquiring point data where a point in a geographical space and a value at the point are associated with each other and region data in which a region in the geographical space and a value in the region are associated with each other as training data; estimating, with the training data acquired in the acquiring, parameters of a multivariate Gaussian process model represented by a linear mixture of a plurality of latent Gaussian processes; and calculating resolution enhance data in which a region having a finer granularity than the region and a value in the region having the finer granularity are associated with each other from the region data designated by a user with the multivariate Gaussian process model in which the parameters estimated in the estimating have been set.

Approximation circuitry utilizes bitwise operations on operands to provide approximate results of operations on the operands. A significant digit detector utilizes bitwise operations on the received operands to identify or detect approximate most significant bits in the operands, and then utilizes these identified most significant bits to generate approximate values for each of the operands. Intermediate registers receive and store the approximate values from the significant digit detector. A combinatorial network, such as a lookup table (LUT), thereafter utilizes the approximate values stored in the intermediate registers to generate an approximate result. The approximate result has a value that is an approximate value of a given operation, such as multiplication or division, on the operands provided to the significant digit detector.

Approximation circuitry utilizes bitwise operations on operands to provide approximate results of operations on the operands. A significant digit detector utilizes bitwise operations on the received operands to identify or detect approximate most significant bits in the operands, and then utilizes these identified most significant bits to generate approximate values for each of the operands. Intermediate registers receive and store the approximate values from the significant digit detector. A combinatorial network, such as a lookup table (LUT), thereafter utilizes the approximate values stored in the intermediate registers to generate an approximate result. The approximate result has a value that is an approximate value of a given operation, such as multiplication or division, on the operands provided to the significant digit detector.

The invention is a method for detecting aberrant values of an incident wind field in a space located upstream of a lidar sensor. The method comprises acquiring and modelling a measurement rws(k) with the lidar sensor of an incident wind field, by estimating a median mr(k) and a mean absolute deviation dr(k) in real time of measurements of the incident wind field and detecting aberrant values in real time using the estimated median mr(k) and the mean absolute deviation dr(k).

The invention is a method for detecting aberrant values of an incident wind field in a space located upstream of a lidar sensor. The method comprises acquiring and modelling a measurement rws(k) with the lidar sensor of an incident wind field, by estimating a median mr(k) and a mean absolute deviation dr(k) in real time of measurements of the incident wind field and detecting aberrant values in real time using the estimated median mr(k) and the mean absolute deviation dr(k).

A method comprising storing a plurality of entries, each entry of the plurality of entries associated with a portion of a range of input values, each entry of the plurality of entries comprising a set of coefficients defining a power series approximation; selecting first entry of the plurality of entries based on a determination that a floating point input value is within a portion of the range of input values that is associated with the first entry; and calculating an output value by evaluating the power series approximation defined by the set of coefficients of the first entry at the floating point input value.