Abstract: Disclosed embodiments provide techniques for identifying gaps in health management data, and combining an estimated data subset with the health management data to fill in gaps in the health management data. The health management data can be derived from a wearable electronic fitness tracking device such as a smart watch or pedometer. The estimated data subset can be derived based on historical data for the individual, average data for a demographic group, crowdsourced, or estimated based on user profile information, and/or portable electronic device information, such as from a smartphone belonging to a user. The estimated data subset is combined with the health management data to form a revised health parameter dataset. The estimated data subset may be sent to a wearable electronic fitness tracking device, which causes the wearable electronic fitness tracking device to initiate a fitness program adjustment based on the revised health parameter dataset.

Abstract: Disclosed embodiments provide techniques for identifying gaps in health management data, and combining an estimated data subset with the health management data to fill in gaps in the health management data. The health management data can be derived from a wearable electronic fitness tracking device such as a smart watch or pedometer. The estimated data subset can be derived based on historical data for the individual, average data for a demographic group, crowdsourced, or estimated based on user profile information, and/or portable electronic device information, such as from a smartphone belonging to a user. The estimated data subset is combined with the health management data to form a revised health parameter dataset. The estimated data subset may be sent to a wearable electronic fitness tracking device, which causes the wearable electronic fitness tracking device to initiate a fitness program adjustment based on the revised health parameter dataset.

Abstract: A method for automatically generating a machine learning system which ascertains as a function of an input variable time series an output variable time series approximating an actual output variable time series, the machine learning system ascertaining a value of the output variable assigned to the predefinable point in time as a function of input and output variable values at the points in time, which are in a predefinable time interval, prior to a predefinable point in time, only a subset of the values of the input variable within the interval and of the values of the output variable being incorporated when ascertaining the output variable assigned to the predefinable point in time, the subset being selected so that it includes available input variable values and the output variable values assigned to the points in time within the interval, which are in a predefinable equidistant selection raster within the interval.

Abstract: Simultaneous 2-D room shape reconstruction and self-localization is accomplished using no pre-established infrastructure. A mobile device with co-located microphone and loudspeaker is used to collect echoes reflected by the walls. The system uniquely recovers arbitrary 2-D convex room shape as well as the position of mobile device 10 by collecting and processing distances between three consecutive measurement points as well as acoustic echoes from the device. A practical algorithm for room shape reconstruction and self-localization in the presence of noise and higher order echoes is proposed. Experimental results are provided to demonstrate the effectiveness of the approach.

Abstract: Apparatus and methods disclosed herein operate to monitor times of receipt of start-of-frame indications associated with frames received from multiple image sensors at a video controller. Time differences between the times of receipt of the frames are calculated. Embodiments herein alter one or more frame period determining parameter values associated with the image sensors if the time differences equal or exceed frame synchronization hysteresis threshold values. Parameter values are adjusted positively and/or negatively to decrease the time differences. The parameter values may be reset at each image sensor when the time differences become less than the frame synchronization hysteresis threshold value as additional frames are received at the video controller.

Abstract: A method includes receiving data identifying a responder in response to a call to an emergency operator, identifying one or more persons associated with the responder, determining communication addresses of communication devices associated with respective persons of the one or more persons, and sending a communication to each of the communication devices using the communication addresses to issue a pre-alert to the one or more persons that allows the one or more persons to prepare for a call to action. A system using natural language processing may be used to analyze a call in progress and aid in dispatching. The system may also identify the responder and assist in initiating the pre-alert prior to an alarm being sounded.

Abstract: A method and system for detecting a fall risk condition, the system comprising a surveillance camera configured to generate a plurality of frames showing an area in which a patient at risk of falling is being monitored, and a computer system comprising memory and logic circuitry configured to store motion feature patterns that are extracted from video recordings, the motion feature patterns are representative of motion associated with real alarm cases and false-alarm cases of fall events, receive a fall alert from a classifier, determine motion features of one or more frames from the plurality of frames that correspond to the fall alert; compare the motion features of the one or more frames with the motion feature patterns, and determine whether to confirm the fall alert based on the comparison.

Abstract: A method of and apparatus removing of a plurality of relatively narrow banded signals in a relatively wide banded input signal. The method involves and the apparatus provides for compressively sensing one relatively narrow banded signal in the relatively wide banded input signal and removing one relatively narrow banded signal from the relatively wide banded input signal before detecting and removing another relatively narrow banded signal in the relatively wide banded input signal, the step of and apparatus for compressing sensing occurring with respect to both (i) the input signal with the previously detected narrow banded signals removed therefrom and (ii) a frequency shifted version of (i).

Abstract: Particles such as nanoparticles in a sample are analyzed by single-particle inductively coupled plasma-mass spectrometry (spICP-MS). The sample is processed in an ICP-MS system to acquire time scan data corresponding to ion signal intensity versus time. A signal distribution, corresponding to ion signal intensity and the frequency at which the ion signal intensity was measured, is determined from the time scan data. A particle detection threshold is determined as an intersection point of an ionic signal portion and a particle signal portion of the signal distribution. The particle signal portion corresponds to measurements of particles in the sample, and the ionic signal portion corresponds to measurements of components in the sample other than particles. The particle detection threshold separates the particle signal portion from the ionic signal portion, and may be utilized to determine data regarding the particles.

Abstract: Systems and methods are provided for continuously monitoring operation of a sensing device, in which the sensing device includes a MEMS gyroscope and a quadrature feedback loop coupled to the MEMS gyroscope, the quadrature feedback loop including a quadrature feedback controller. A test signal generator is configured to generate and apply a test signal to the quadrature feedback loop at an input of the quadrature feedback controller. A fault detector is coupled to an output of the quadrature feedback controller. The fault detector is configured to receive a quadrature feedback signal, detect effects of the test signal in the quadrature feedback signal, and generate a monitor output indicative of the operation of the sensing device base on the detected effects of the test signal.

Abstract: Systems and methods to track the respective locations of subjects over time. The system identifies subjects who, over time, were co-located with one another suggesting they are associated with one another, and the pairs are analyzed. For each of the subjects, the system produces a vector that quantifies the subject's location history by including a respective weight for each combination of a time interval with a geographical area. The vectors are compared using a distance metric, and any pair of subjects whose vectors are sufficiently close are flagged as being an associated pair. The respective vector belonging to each subject is normalized to account for the total number of other subjects who were co-located with the subject. For each interval-area pair, the system may compute the frequency of the interval-area pair, and then divide each weight that corresponds to the interval-area pair by the frequency of the interval-area pair.

Abstract: Example techniques of data management in a network environment are described. In an example, a semantic pattern in a data stream transmitted from a source device to an edge device in the network environment is determined. The semantic pattern indicates relevance of data samples in the data stream for analysis of the data stream. The data stream is processed based on the semantic pattern, for storage and transmission in the network environment.

Abstract: A correlation value calculation device for calculating a correlation value between a base block within an image and at least one reference block within the image or other image includes a pixel value distribution calculation unit configured to calculate a pixel value distribution of pixels within the image and select a range of pixel values of a large number of pixels as a valid pixel value range, a conversion coefficient calculation unit configured to calculate conversion coefficients for converting pixels of the valid pixel value range into a prescribed bit-depth, and a pixel value conversion unit configured to perform a bit-depth reduction process on pixels within the base block and pixels within the reference block on the basis of the conversion coefficients.

Abstract: A magnetic field sensor includes a substrate first and second magnetic field sensing elements, comprising first and second magnetoresistance elements, respectively. The first and second magnetic field sensing elements are responsive to the magnet. At or more positions of the magnet relative to the first and second magnetic field sensing elements while the magnet is stopped moving, at least one of the first magnetic field sensing element or the second magnetic field sensing element is in saturation in response to the magnet.

Abstract: Systems, devices, methods, and computer readable medium for transmitting data using polynomial-based signals. Data may be represented as a message polynomial and convolved with a reference polynomial to generate a transmission polynomial. The transmission polynomial may be converted in a set of sinusoidals with continuously-varying amplitude in a plurality of frequencies prior to transmission of a signal to a receiver. Following transmission, the signal is received and the amplitude values are mapped into bit sequences to recover the data.

Abstract: It is described a processing apparatus (2) for detecting partial discharge pulses in the presence of noise signal, comprising: a first detector (3) configured to detect an electromagnetic impulsive signal (PINT; PEX2) from a first area (9) of an electrical object (1, 6) and generate a first electrical pulse (P1) representing a first detection event of the electromagnetic impulsive signal; a second detector (4) configured to detect the electromagnetic impulsive signal from a second area (10) of the electrical object (1, 6) and generate a second electrical pulse (P2) associated with a second detection event of the electromagnetic impulsive signal; a time calculation module (17) configured to measure a time interval (Td1; Td2) between the first detection event and the second detection event; and a processing module (18) connected to the time calculation module (17).

Abstract: A method is presented for estimating population from sample proportions that produces margins of error narrower for any specific sample size or that requires a sample size smaller for any specific margin of error than do previously existing methods applied to the same data. This method applies an unbiased estimator of the squared correlation between population and sample proportions to determine point and interval estimates of population proportions in a regression context involving simple random sampling with replacement. In virtually all reasonable applications, assuming a Dirichlet prior distribution, the margin of error produced by this method for a population proportion is shown to be 1.96 times the posterior standard deviation of the proportion.

Abstract: A method is provided for generating a new instance of an N-bit cryptographic key for storage in a non-volatile memory (NVM) in which unprogrammed cells have a particular binary value. The method includes generating a random N-bit updating sequence, and generating the new instance of the N-bit cryptographic key by negating each bit in a current instance of the N-bit cryptographic key that has the particular binary value and differs from a correspondingly-positioned bit in the random N-bit updating sequence, without negating any bits in the current instance of the N-bit cryptographic key that do not have the particular binary value. Other embodiments are also described.

Abstract: An infusion system comprises an infusion pump that comprises an input unit and a display unit. The input unit is adapted for adjusting a value of at least one parameter for controlling operation of the infusion pump and/or an infusion process, and the display unit displays the value of the at least one parameter. The input unit comprises at least one slide bar adapted to be touched by a user's finger and moved along its length to change the value of the parameter, wherein movement in a first direction increases the value of the parameter and in a reversed, second direction decreases the value. The slide bar is adapted so that the rate of change of the parameter value correlates with the speed of the finger movement and in an idle mode is decelerated in a similar way as under influence of an inertia load and/or a friction.

Abstract: A method is provided for comparing relevant information between observations. Methods may include: receiving first sensor data from a first sensor type; receiving second sensor data from a second sensor of a second sensor type, different from the first sensor type, where the first and second sensor data includes data associated with an environment of the sensors; generating a first binary bitmask of the first sensor data; generating a second binary bitmask of the second sensor data; applying a mutual information score function using the first binary bitmask and the second binary bitmask as inputs; generating a mutual information score from the mutual information score function, wherein the mutual information score represents a degree of similarity between the sensor data; and establishing a reliability of the at least one of the first sensor or the second sensor.

Abstract: Systems, methods, and software to acquire light measurements in a targeted space using an autonomous vehicle, such as an aerial drone, are provided. Examples of targeted spaces include, but are not limited to, stadiums, arenas, racetracks, fields, parking lots, etc. Uses of such systems, software, and/or methods include, but are not limited to, verifying that required light intensity, distribution, camera image quality, and/or other performance metrics are met when commissioning, changing, checking, and approving lighting systems, among other things.

Abstract: Social network information may be shared across online service providers. Thus, one online service provider M that maintains a membership separate from a second online service provider N may nevertheless use the social network maintained by the second online service provider N to tailor content and/or services based on such social network information.

Abstract: A signal detector includes oversampling circuitries and a detector circuitry. The oversampling circuitries are configured to receive a first signal and a second signal from a channel, and to sequentially sample the first signal and the second signal according to a plurality of clock signals to generate a plurality of signal difference values, and to compare the plurality of signal difference values with a reference difference value, in order to generate a plurality of detection signals. The detector circuitry is configured to generate a noise indication signal according to the plurality of detection signals, in order to indicate whether the first signal and the second signal are noises.

Abstract: A method, system, and apparatus for emulating impairments in a communication system.

Abstract: An imaging system (e.g., hyperspectral imaging system) receives an indication to compare a first object and a second object (e.g., two anatomical structures or organs in a medical environment). The imaging system accesses a classification vector for the first object and the second object, the classification vector having been extracted by separating a plurality of collected reflectance values for the first object from a plurality of collected reflectance values for the second object. A set of optimal illumination intensities for one or more spectral illumination sources of the imaging system is determined based on the extracted classification vector. The first and second objects are illuminated with the determined illumination intensities. A high-contrast image of the first and second objects is provided for display, such that the two objects can be readily distinguished in the image. The intensity of pixels in the image is determined by the illumination intensities.

Abstract: Embodiments in the present disclosure may be directed to provide systems and methods for operating database and performing record set specific computing operations. The disclosed method may operate one or more client computing devices, an analytical engine, one or more wearable devices operatively coupled to one or more client computing devices via a communication network, and one or more databases. The disclosed method may include steps performed by a processor for tracking users to create or join groups with similar lifestyles attributes.

Abstract: An electronic device and method for text processing, the electronic device comprises a processor (100), and the processor is configured to: determine a correlation between a first text vector and a second text vector, wherein the first text vector and the second text vector are multi-dimensional, real number vectors generated on the basis of a same text, respectively; obtain, according to the correlation, a third text vector representing the text, wherein a vector space in which the third text vector is located is correlated to vector spaces in which first text and second text vectors are located. The electronic device and method of the present invention can be used to create a text-feature representation model which represents text features by combining a plurality of view angles, thereby improving the performance of natural language processing.

Abstract: This application describes methods and apparatus for monitoring of rail networks using fibre optic distributed acoustic sensing (DAS), especially for condition monitoring. One method involves taking (902) a first data set corresponding to measurement signals from a plurality of channels of at least one fibre optic distributed acoustic sensor (100) having a sensing fibre (101) deployed to monitor at least part of the path of the rail network (201). The first data set corresponds to measurement signals acquired as a train (202) passed along a first monitored section of the rail network. The method involves identifying (903) a speed of the train through the first monitored section and dividing (904) the first data set into a plurality of time windows. Each time window contains a different subset of the first data set, with the measurement signal for each successive channel in a time window being delayed with respect to the previous channel by a time related to the identified train speed.

Abstract: The problem of distinct value estimation has many applications, but is particularly important in the field of database technology where such information is utilized by query planners to generate and optimize query plans. Introduced is a novel technique for estimating the number of distinct values in a given dataset without scanning all of the values in the dataset. In an example embodiment, the introduced technique includes gathering multiple intermediate probabilistic estimates based on varying samples of the dataset, 2) plotting the multiple intermediate probabilistic estimates against indications of sample size, 3) fitting a function to the plotted data points, and 4) determining an overall distinct value estimate by extrapolating the objective function to an estimated or known total number of values in the dataset.

Abstract: Signal measurement units each measure a signal output from a sound source, as a measured signal. Reference signal acquisition units each acquire a reference signal. A weighting processing unit creates weighted reference signals by weighting the reference signals. A time synchronization correction calculation unit calculates a time synchronization correction value based on the weighted reference signals. The time synchronization correction value is a correction value for synchronizing the two measured signals. An arrival time difference calculation unit calculates an arrival time difference based on the time synchronization correction value. The arrival time difference is a difference between elapsed times for the two measured signals acquired by respective ones of the pair of signal measurement units to arrive at the respective ones of the pair of signal measurement units. A sound source position calculation unit calculates a position of the sound source based on the arrival time difference.

Abstract: A method and apparatus for transmitting a control signal to a self organizing network controller, are disclosed. For example, the method implemented via a processor receives a change, determines whether the change to at least one network element maintains an acceptable level for one or more service quality metrics based on a predicted service quality metric calculated using a modeling function, generates a control signal based on the determining, and transmits the control signal to the self organizing network controller to cause the self organizing network controller to configure the at least one network element in a communication network in accordance with the control signal.

Abstract: Methods, apparatus and computer program products are provided for detection of anomalies in containers using corresponding container profiles. An exemplary method comprises: obtaining at least one container and a corresponding container profile from a container registry, wherein the container profile characterizes an expected normal operation of an application executing in the container; comparing a behavior of the application executing in the container to the expected normal operation in the corresponding container profile to determine if the container exhibits anomalous behavior; and providing a notification of the anomalous behavior when the container exhibits the anomalous behavior. The container profile is obtained, for example, by monitoring a behavior of (i) a plurality of versions of the at least one container, and/or (ii) the at least one application executing in the at least one container on a plurality of different container host devices.

Abstract: A garment comprising a central portion including a plurality of electrocardiogram leads, a plurality of auscultation acoustic sensor devices, a flexible respiratory sensor located so that it substantially circumscribes the garment, one or more blood pressure cuff portions located on an at least one arm portion of the garment, wherein the cuff portions are adapted to be loosened and/or tightened and a hardware device for sending and receiving signals via wired or wireless communication.

Abstract: A field device includes a controller and a process communication module. The controller is configured to perform at least one operation related to process control and is also configured to perform at least one self-recovery operation relative to the field device. The process communication module is coupled to the controller and is configured to couple to a process communication segment and communicate in accordance with a process communication protocol. The controller is configured to detect an erroneous condition and selectively apply the at least one self-recovery operation in response to the detected erroneous condition.

Abstract: Systems and methods to track the respective locations of subjects over time. The system identifies subjects who, over time, were co-located with one another suggesting they are associated with one another, and the pairs are analyzed. For each of the subjects, the system produces a vector that quantifies the subject's location history by including a respective weight for each combination of a time interval with a geographical area. The vectors are compared using a distance metric, and any pair of subjects whose vectors are sufficiently close are flagged as being an associated pair. The respective vector belonging to each subject is normalized to account for the total number of other subjects who were co-located with the subject. For each interval-area pair, the system may compute the frequency of the interval-area pair, and then divide each weight that corresponds to the interval-area pair by the frequency of the interval-area pair.

Abstract: A data providing apparatus includes a field data acquisition unit configured to acquire field data relating to field equipment, and a data providing unit configured to transmit and receive information to and from a service providing unit, the service providing unit being a communication target and configured to use the field data as service data, in which the data providing unit manages information on a conversion rule defining a relationship between the field data and the service data, acquires the field data specified in a data acquisition request from the service providing unit, from the field data acquisition unit, converts the acquired field data to service data according to the conversion rule when there is a difference between a specification of the field data and a specification of the service data, and transmits the data obtained by the conversion to the service providing unit.

Abstract: Methods, computer systems, and computer-storage medium are provided for managing patient alerts using a mobile device. A mobile device associated with a patient caregiver receives a critical alert related to the patient, and the alert is presented on the mobile device. The alert includes important contextual information that enables the caregiver to make a quick assessment of how to effectively address the alert. The alert includes options for accepting the alert or rejecting the alert. Acceptance of the alert enables the caregiver to communicate the alert to selected caregivers that can assist in managing the alert. Rejecting the alert causes the alert to be automatically communicated to additional caregivers associated with patient.

Abstract: A safety module for an automation system includes a communication interface designed for a signal-transmitting connection to a communication system, an output interface designed for a signal-transmitting connection to at least one user which can be fitted downstream and a processing device connected to the communication interface and the output interface and designed to process communication signals from the communication interface and to provide output signals to the output interface wherein the processing device is designed for a detection of an actual component behaviour, using a control command contained in a communication signal and a component measured value contained in a communication signal, and for a comparison of a presettable component behaviour to the actual component behaviour as well as for a provision of a safety-oriented output signal to the output interface at a presettable divergence between the presettable component behaviour and the actual component behaviour.

Abstract: A method, including: generating updated velocity models, each corresponding to one of a plurality of initial velocity models of intersecting 2D seismic survey lines, wherein updates to the plurality of initial velocity models are computed by imposing a seismic-tie regularization constraint on an inversion process that inverts for the updates to the plurality of initial velocity models, and the seismic-tie regularization constraint causes the updated velocity models to have consistent values for depth of seismic reflectivity at intersecting spatial locations.

Abstract: A centralized optimization engine is configured to receive a problem specification that defines an optimization problem to be solved. The optimization engine classifies the problem specification within a large dataset of previously solved optimization problems. The optimization engine selects one or more solution strategies associated with similar optimization problems, and then executes those solution strategies to solve the optimization problem. Over time, the optimization engine updates the large data set with statistical information that reflects the performance of different solution strategies applied to various optimization problems, thereby increasing the effectiveness with which optimization problems may be solved.

Abstract: In a dark-field metrology method using a small target, a characteristic of an image of the target, obtained using a single diffraction order, is determined by fitting a combination fit function to the measured image. The combination fit function includes terms selected to represent aspects of the physical sensor and the target. Some coefficients of the combination fit function are determined based on parameters of the measurement process and/or target. In an embodiment the combination fit function includes jinc functions representing the point spread function of a pupil stop in the imaging system.

Abstract: A sensor element control device which is connectable to a sensor element including a drive unit and a detection unit, includes a drive circuit that outputs a drive signal to the drive unit; a detection circuit that generates a detection signal based on a signal output from the detection unit; a diagnostic signal generation circuit that generates a diagnostic signal having a frequency component corresponding to a detuning frequency which is a difference frequency between a drive frequency which is a frequency at which the drive unit vibrates and a detection frequency which is a frequency at which the detection unit vibrates; and a fault diagnosis circuit that performs fault diagnosis based on a signal output from the detection unit when the diagnostic signal is superimposed on the drive signal.

Abstract: A time-to-digital converter system has at least one time-to-digital converter comprising an oscillator, a counter being driven by the oscillator, an evaluation block connected to the counter and configured for determining a time difference associated with a start signal and a stop signal, and a histogram block with a number of bins for recording entries associated with the time difference. The system can be calibrated by operating or preparing to operate the time-to-digital converter system with a measurement clock signal defining a measurement interval, providing a calibration clock signal having a frequency higher than the measurement clock signal by a predefined ratio, using a selected clock edge of the calibration clock signal as the start signal and a subsequent clock edge of the calibration clock signal as the stop signal. The evaluation block determines a calibration time difference based on the respective clock edges of the calibration clock signal used as the start signal and the stop signal.

Abstract: Step detection methods and apparatus are described. According to one aspect, a footstep detection method includes obtaining accelerometer data regarding movements of a user device, filtering the accelerometer data to remove frequencies above a typical stepping frequency range of a user, after the filtering, analyzing individual ones of a plurality of cycles of the accelerometer data to determine whether any of the individual cycles corresponds to a user taking a footstep with the user device, and as a result of the analyzing, indicating at least one of the individual cycles as corresponding to the user taking a footstep.

Abstract: A method and apparatus for providing variable analog to digital converter (ADC) resolution is described.

Abstract: Automated fitness coaching includes: receiving a plurality of motion data samples obtained by a sensor device, wherein the plurality of motion data samples comprises a plurality of acceleration data samples and a plurality of angular velocity data samples, and pertains to a plurality of motions performed by a user; determining based at least in part on some of the motion data samples, a set of one or more corrected core measurements of the user's body positions during a subset of the plurality of motions; and providing feedback to the user, the feedback being determined based at least in part on the set of one or more corrected core measurements.

Abstract: An apparatus and method for sensing a fluid flow passing within a pipe, which fluid flow comprises at least a first fluid phase. The apparatus includes a flow meter having an array of sensors and at least one processing unit, which flow meter is adapted to sense the fluid flow passing within the pipe as it travels past the array of sensors and produce signals indicative of the presence of vortical structures convecting with the fluid flow. The at least one processing unit is adapted to: (a) produce a k-? plot using the signals indicative of the presence of vortical structures convecting with the fluid flow, and determine a k-? plot quality parameter that indicates the presence or absence of a second fluid phase within a fluid flow passing within a pipe; or (b) determine a shape factor parameter indicative of a presence or absence of a second fluid phase within a fluid flow passing within a pipe; or (c) both (a) and (b).

Abstract: In an embodiment, a method comprises determining, in received yield data, one or more passes, each pass including a plurality of observations. For each pass of the one or more passes, one or more discrete derivatives are determined, and based on the one or more discrete derivatives first outlier data is generated. First filtered data is generated by removing the first outlier data from the yield data. Furthermore, for each observation in the yield data, a plurality of nearest neighbor observations is determined, and used to determine a plurality of absolute differences in yield values. Based on the plurality of absolute differences, second outlier data is determined. Second filtered data is generated by removing the second outlier data from the first filtered data. Using a presentation layer of a computer system, a graphical representation of the second filtered data is generated and displayed on the computing system.

Abstract: A computing device computes a weight matrix to compute a predicted value. For each of a plurality of related tasks, an augmented observation matrix, a plug-in autocovariance matrix, and a plug-in covariance vector are computed. A weight matrix used to predict the characteristic for each of a plurality of variables and each of a plurality of related tasks is computed. (a) and (b) are repeated with the computed updated weight matrix as the computed weight matrix until a convergence criterion is satisfied: (a) a gradient descent matrix is computed using the computed plug-in autocovariance matrix, the computed plug-in covariance vector, the computed weight matrix, and a predefined relationship matrix, wherein the predefined relationship matrix defines a relationship between the plurality of related tasks, and (b) an updated weight matrix is computed using the computed gradient descent matrix.

Abstract: Filtering apparatus and methods associated with filtering large time series of data are described. A filtering process containing recursive dependencies can be organized as a series of computational tasks, at least some of which can be performed in parallel. Because of parallel execution of some tasks, an amount of time for filtering large time series of data with a filter exhibiting recursive data dependencies can be reduced significantly.