158 results about "Approximation function" patented technology

A computer-implemented method is disclosed. The method includes collecting cache-efficiency-indicator values of an at least one cache fragment during operation of a database system over a period of time. Providing approximation-function-parameter values for the collected, cache-efficiency-indicator values, an approximation function representing a relation between a cache-efficiency-indicator and the size of a respective cache fragment. The method continues by providing a set of workload windows based on the approximation-function-parameter values. Next, providing a workload-window information for the set of workload windows, the workload-window information including at least one approximation-function-parameter value representing each determined workload window. The method further includes storing the workload-window information for a comparison based on current, cache-efficiency-indicator values and the workload-window information.

A control device for an electric power steering apparatus, which controls a motor based upon a steering assist instruction value calculated in a steering assist instruction calculating section based upon a steering torque generated in a steering shaft and a current control value calculated from a current value of the motor for applying a steering assist force to a steering mechanism, and has a gain curve of characteristics of the entire control system having the steering assist instruction value as its input, which at least partially possesses a gradient exceeding a predetermined value, and in this arrangement, the steering assist instruction value calculating unit is composed of an approximation functional expression in which at least one-step derived functions are continuous, and the steering assist instruction value is found through calculations based upon the approximation functional expression. It is possible to provide a control device which can achieve a continuous, pleasant sense of steering by providing the steering assist instruction value as a continuous function.

At least two registration marks are formed for each of the reproduction colors cyan, magenta, yellow, and black. Each of the marks for each color is formed at a different position in the main scanning direction. Each position of the marks is detected, and the deviation is obtained for each color from the detection result. Using the obtained deviations, a correction approximation function is formulated that is used for determining writing positions for pixels of an image. In accordance with the correction approximation function, an image writing position at which an image forming unit starts writing is corrected, so that color deviations caused from various factors can be prevented.

The invention discloses a cross-modal retrieval method based on a cyclic generation antagonistic network. The method designs a novel dual-channel cyclic generation antagonistic neural network and establishes semantic correlation of cross-modal data by training the neural network. Given different modal data can flow bi-directionally in the network, each modal data can generate another modal data through a group of generative antagonistic networks, and the generated data can be used as the input of the next group of generative antagonistic networks, so that the bi-directional loop generation ofdata can be realized, and the network continuously learns the semantic relationship among the cross-modal data. In order to improve the efficiency of retrieval, The method also uses threshold functionand approximation function to approximate the result of the middle layer of the generator to the corresponding binary hash code, and designs a variety of constraints to ensure the same mode, the similarity and cross-mode of the same kind of data, and the difference of data between classes, thus further improving the accuracy and stability of retrieval.

To precisely measure bead cutting shapes of electric resistance welded pipes without being affected by difference in luminance level between cut and uncut portions in optical cutting images, an image is obtained by overlaying an optical cutting image with the optical cutting image subjected to thinning processing. A profile of the welded pipe is approximated with a quadratic function and a region containing the bead apex coordinates is identified as the bead. Shape data of the pipe surface at the portion corresponding to the bead portion is obtained from the preset left and right boundaries of the bead portion and the apex position of the separately-calculated bead portion, and bead width, height, slope angle, and unevenness at the left and right boundaries between the bead portion and base pipe portion, are each calculated, based on the left and right bead shape approximation functions and base pipe shape approximation function.

A control device which: controls a motor based upon a steering assist instruction value calculated in a steering assist command operating section based upon a steering torque generated in a steering shaft and a current control value calculated from a current value of the motor for applying a steering assist force to a steering mechanism; and at least partially possesses a gradient when a gain curve of characteristics of an entire control system having the steering assist command value as its input exceeds a predetermined value. The steering assist command value operating section is composed of an approximation functional expression in which a one-step derived function is continuous, and the steering assist command value is obtained by calculations based upon the approximation functional expression.

In a data visualization system, a method of graphically representing discrete data as a continuous surface in image space, the method comprising the steps of: a data retrieval module retrieving discrete data from a data storage device in communication with the data visualization system; an interpolation module calculating a first set of values for a weighted interpolation function based on the retrieved discrete data; a smoothing module calculating a second set of values for one or more weighted approximation functions based on the retrieved discrete data; and a surface combining module combining the first and second set of calculated values over the image space to graphically represent a continuous surface.

In a multi-angle calorimeter having an illumination system that illuminates a sample surface and a plurality of light receiving systems that receive reflected light therefrom, an illumination system for orientation error detection is provided that illuminates the sample surface from substantially close direction to the normal of the sample surface. Actual measured reflectance factor is corrected based on the specific approximation function obtained from the measured reflectance factor and detected orientation error.

A computer-implemented method, system, and a computer readable article of manufacture identify local patterns in at least one time series data stream. A data stream is received that comprises at least one set of time series data. The at least one set of time series data is formed into a set of multiple ordered levels of time series data. Multiple ordered levels of hierarchical approximation functions are generated directly from the multiple ordered levels of time series data. A set of approximating functions are created for each level. A current window with a current window length is selected from a set of varying window lengths. The set of approximating functions created at one level in the multiple ordered levels is passed to a subsequent level as a set of time series data. The multiple ordered levels of hierarchical approximation functions are stored into memory after being generated.

A dimensionality reduction method and system for efficient color transform compression is disclosed. A multi-dimensional color transform with an n-dimensional input color space can be received. A projection operator can be derived and applied to the n-dimensional input color space to form a k-dimensional input color space. A functional approximation can be designed to the n-dimensional input color space and can be evaluated on the k-dimensional input color space to form an m-dimensional output color space. The projection operator and the approximation function can be combined to form a compressed transform by mapping the n-dimensional input color space to m-dimensional output color space. Such an approach provides a significant reduction in size of the color profile with respect to storage and speeds-up real-time computation.

In a multi-angle colorimeter having an illumination system that illuminates a sample surface and a plurality of light receiving systems that receive reflected light therefrom, an illumination system for orientation error detection is provided that illuminates the sample surface from substantially close direction to the normal of the sample surface. Actual measured reflectance factor is corrected based on the specific approximation function obtained from the measured reflectance factor and detected orientation error.

Disclosed is a turning radius calculation method including: expressing a steering system model by means of relational expressions having a steering angle and turning angles of outer and inner tires as variables and including known parameters and unknown parameters; entering data on the known parameters based on design data; calculating the unknown parameters from the relational expressions corresponding to a zero-steering state and the relational expressions corresponding to a full-steering state; calculating turning angles of outer and inner tires respectively corresponding to a plurality of steering angles between the zero-steering state and the full-steering state using the relational expressions where calculated data on the unknown parameters are entered; calculating turning radii corresponding to the calculated turning angles of the outer and inner tires; and calculating an approximate function of turning radius for steering angle based on the plurality of steering angles and the turning radii.

A camera according has an interchangeable lens unit removably attached to a camera body, and an image-generating processor that generates image data of a subject captured by the lens unit. A memory provided in the lens unit stores distortion data. The distortion data is associated with an approximation function, which represents the correspondence relationship between image height and distortion aberration. The distortion data includes at least one of: coefficient data of the approximation function, and sample data of the image height and the corresponding distortion aberration. Furthermore, the camera has an approximation function processor that defines an approximation function used to process the image data on the basis of the distortion data read from the memory, and a distortion correction processor that carries out distortion correction processing on the image data based on the aberration distortion calculated for each image point by the defined approximation function.

The invention discloses an automobile interior acoustic field prediction method based on a partition-of-unity finite element-meshless cell. The method comprises the steps of utilizing an automobile interior air acoustic cavity mesh model, defining the cell node support region of the automobile interior air acoustic cavity mesh model by use of the relation of a layer of connected nodes, constructing a local approximation function by use of a radial point interpolation method within the node support region of the automobile interior air acoustic cavity mesh model, and meanwhile, performing approximation by use of an isoparametric element shape function within the global mesh range of the automobile interior acoustic cavity, constructing a shape function and the gradient thereof at a Gauss integral point of the automobile interior acoustic cavity model in an isoparametric element integration manner, constructing the Galerkin weak-form of an acoustic equation of automobile interior acoustic cavity problems to obtain the system equation of the automobile interior acoustic cavity mesh model, thereby predicting the modal frequency and the mode of vibration of the automobile interior acoustic cavity, and meanwhile, predicting the acoustic response of the automobile interior acoustic cavity under the excitation of an engine and assessing the calculation results. The automobile interior acoustic field prediction method based on the partition-of-unity finite element-meshless cell is capable of obtaining better calculation results than a finite element method in the automobile interior acoustic cavity vibration noise prediction problem.

A method, system, and computer readable medium for identifying local patterns in at least one time series data stream are disclosed. The method comprises generating multiple ordered levels of hierarchal approximation functions. The multiple ordered levels are generated directly from at least one given time series data stream including at least one set of time series data. The hierarchical approximation functions for each level of the multiple levels is based upon creating a set of approximating functions. The hierarchical approximation functions are also based upon selecting a current window with a current window length from a set of varying window lengths. The current window is selected for a current level of the multiple levels.

The invention relates to a fractional order electromagnetic anomalous diffusion three-dimensional simulation method of rational function approximation, and aims at calculating three-dimensional time-domain induction-polarization double field response of a fractional order Cole-Cole model. The method mainly comprises the steps of establishing a Cole-Cole model fractional order transfer function andan n-odrer rational approximation function based on a frequency domain rational function approximation method, and making the sum of the real part and the imaginary part of an error function as a target function; achieving linearization of the target function through an instrumental variable technique, and obtaining an optimal approximation rational function by adopting a linear programming approach; obtaining a time-domain mode of a conductivity by adopting a partial fraction expansion method and inverse laplace transformation; putting the time-domain mode in a Maxwell equation, deducing aniterative equation of an electromagnetic field based on a finite difference method, and achieving fractional order Cole-Cole model three-dimensional electromagnetic response value calculation. The fractional order electromagnetic anomalous diffusion three-dimensional simulation method of the rational function approximation has the advantages of fast and accurately simulating the fractional order Cole-Cole model three-dimensional time-domain electromagnetic response and providing theoretical foundation for research on abnormal electromagnetic diffusion in a polarization medium.

In road white line recognition apparatus and method, a road extended in a forward direction of a vehicle is photographed through a photographing device, a deflection luminance information when a luminance information of an image photographed by the photographing device is represented by a luminance information that a surface of the road naturally has and the deflection luminance information from which the luminance information that the road surface naturally has is excluded is detected on the basis of an approximation function obtained by approximating the luminance information of the photographed image to a horizontal direction of the photographed image, a normalized luminance information is detected by removing the deflection luminance information from the luminance information of the photographed image, and a road white line is detected on the basis of the normalized luminance information.

A life prediction apparatus for an electrical storage device, which has a life predictor, includes: an operation controller for life prediction that controls operation of the electrical storage device; a data collector that collects measurement data with respect to a plurality of operation conditions and calculates and successively accumulates evaluation characteristics; a data analyzer that creates a regression formula representing a relationship between the evaluation characteristic and an operation time by curve fitting, with an appropriate approximation function, the accumulated evaluation characteristic data; and a life prediction formula creator that creates a life prediction formula for calculating a predicted value of the evaluation characteristic under random operation conditions on the basis of the regression formula.

The present invention suppresses decreases in the volumes of the patterns which have been formed on the surfaces of semiconductor samples or of the like, or performs accurate length measurements, irrespective of such decreases. In an electrically charged particle ray apparatus by which the line widths and other length data of the patterns formed on samples are to be measured by scanning the surface of each sample with electrically charged particle rays and detecting the secondary electrons released from the sample, the scanning line interval of said electrically charged particle rays is set so as not to exceed the irradiation density dictated by the physical characteristics of the sample. Or measured length data is calculated from prestored approximation functions.

This image blur correction device is provided with: a blur correction unit for correcting image blur by moving a lens included within an optical system in a perpendicular direction with respect to the optical axis, or by moving an imaging element over the imaging plane; a blur detection unit for detecting the amount of change in orientation of the imaging device; a holding unit for holding three or more amounts of change in orientation detected at different points in time; a prediction unit for calculating a predicted value of change in orientation subsequent to a predetermined time, on the basis of an approximation function based on temporal change of the amount of change in orientation, on the basis of three or more amounts of change in orientation; a blur level calculation unit for calculating an image blur level on the basis of the predicted value; and a drive control unit for calculating, on the basis of the image blur level, an amount of movement of the lens or the imaging element by the image blur correction unit.

A system, method and memory medium for operating on an electrocardiogram (ECG) signal. A multiscale short-time Fourier transform (STFT) is perform on a set of ECG samples {s(n)} to obtain a transform array. For each sufficiently energetic peak in the transform array, a refined window width value and a refined window displacement value is generated by: computing an inner product between the set of samples and each of a plurality of functions, where the plurality of functions are sufficiently close to a coarse approximation function given by the peak location; and solving a linear system Av=c for the unknown vector v, where the vector c is determined by the inner products, where the matrix A is determined by the center times of the plurality of functions. After appropriate selection, the refined window width and refined window displacement may be used to represent ECG waveform features.

The present invention relates to an image processing device and method, and a program, capable of obtaining processing results which are even more accurate and even more precise as to events in the real world, taking into consideration the real world where data has been acquired. In the event that the light signal in the actual world 1 represented with the light signal function F has predetermined continuity, the actual world estimating unit 102 estimates the light signal function F by approximating the light signal function F with a predetermined approximation function f using weighting provided in accordance with importance to the pixels within an input image (image data including continuity of data corresponding to continuity) from the sensor 2, and data continuity information (data continuity information corresponding to continuity of the input image data) from the data continuity detecting unit 101. The present invention can be applied to an image processing device.

A classifier is trained on a first set of examples, and the trained classifier is adapted to perform on a second set of examples. The classifier implements a parameterized labeling function. Initial training of the classifier optimizes the labeling function's parameters to minimize a cost function. The classifier and its parameters are provided to an environment in which it will operate, along with an approximation function that approximates the cost function using a compact representation of the first set of examples in place of the actual first set. A second set of examples is collected, and the parameters are modified to minimize a combined cost of labeling the first and second sets of examples. The part of the combined cost that represents the cost of the modified parameters applied to the first set is calculated using the approximation function.

The invention discloses a battery SOC (state of charge) estimation method based on polarization voltage recovery characteristics. The method comprises two parts: analysis of battery polarization voltage characteristics and SOC estimation based on polarization voltage recovery characteristics, wherein in the first part, based on the battery standing voltage curves under different battery SOC, the battery residual polarization voltage in different standing time is extracted, the maximum battery voltage deviation allowable at the SOC error of 3% or below is derived from the OCV-SOC curve, and theminimum standing time for eliminating polarization voltage under different SOC is obtained while guaranteeing the SOC error of 3%; in the second part, according to the battery minimum standing time under different SCO of the same-batch batteries and the law of aging with time, a response surface model is adopted as an approximate model, and an accurate approximation function relationship is obtained in a local scope by using a few data points, so as to obtain the minimum standing time that guarantees the SOC error being within 3% in the whole life cycle of the battery; corresponding battery SOC is estimated according to whether the standing time reaches the minimum standing time.

A first order function generation circuit receives a signal from a temperature sensor circuit, and generates a fist order function control signal V1 that is affected by the ambient temperature. A fourth order and fifth order approximation function generation circuit receives signals from the temperature sensor circuit and from the third order approximation function generation circuit, and generates a fourth and fifth order approximation function control signal V45 that is affected by the ambient temperature. A peak change point adjustment circuit outputs a signal to adjust the value of a peak change point temperature Ti for the third order approximation function generation circuit, the first order generation function circuit and the fourth order and fifth order approximation function generation circuit. A temperature compensation circuit adds together control signals V0, V1, V3 and V5, and outputs the resultant signal Vc.

A Method and System for Optimizing Decibel Data Conversion. This invention provides an ability to convert linear signals into decibel units via digital logic circuitry. The resultant system can present information to users in real-time. This is made possible by performing an approximation function that is simple enough to be implemented directly in digital hardware, rather than through software executed by massive computing resources. An exemplary application for this technology is as a component of a surgical reactive electronic jamming system. This invention allows a surgical reactive jammer to determine precisely the correct jamming thresholds to apply in real-time. It allows signal surveillance equipment to survey the spectrum and display those results in dBm with far more efficiency than before. Finally, it enables a whole industry of communications related devices that need to do real time decibel conversion.

The invention discloses an instance-based learning multi-Agent cooperation crowd evacuation simulation method and device. Sufficient path information samples are acquired through real videos and simulation, and original path information is extracted. Scene information is extracted according to the scene, and region segmentation is performed on the scene information so as to construct a scene information base. The knowledge path is segmented in a way of being corresponding to the scene region segmentation situation, and an original local path information base is constructed. Pedestrians are matched with the scene information database, the groups are divided according to the similarity and each group is guided by the guide Agent. The guide Agent is matched with the local path information base, and an approximation function is established and the local path is ensured to be optimal. Scene local path information exchange is realized by using the information interaction cooperation function in the multi-Agent system. The isomorphic instance is constructed by using interaction information through analogical learning and path selection is optimized. The path information drives the guide Agent, and the low-level motion of the Agent of the same group is driven by the social force model until all the pedestrians in the scene are evacuated to the safe location and the process is ended.