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44 results about "Mathematical Computing" patented technology

Computer-assisted interpretation and analysis of various mathematical functions related to a particular problem.

Signal processing using the self-deconvolving data reconstruction algorithm

A signal processing algorithm has been developed in which a filter function is extracted from degraded data through mathematical operations. The filter function can then be used to restore much of the degraded content of the data through use of any deconvolution algorithm. This process can be performed without prior knowledge of the detection system, a technique known as blind deconvolution. The extraction process, designated Self-deconvolving Data Reconstruction Algorithm (SeDDaRA), has been used successfully to restore digitized photographs, digitized acoustic waveforms, and other forms of data. The process is non-iterative, computationally efficient, and requires little user input. Implementation is straight-forward, allowing inclusion into all types of signal processing software and hardware.
The novelty of the invention is the application of a power law and smoothing function to the degraded data in frequency space. Two methods for determining the value of the power law are discussed. The first method is by educated guess where the value is deemed a constant of frequency that ranges between zero and one. This approach requires no knowledge of the original data or the degradation and is quite effective. The second method compares the frequency spectrum of the degraded data to the spectrum of a signal with the desired frequency response. This approach produces a superior result, but requires additional processing.
Owner:CARON JAMES N

Dynamic knowledge graph representation learning method and system based on anchor points

The invention provides a dynamic knowledge graph representation learning method and system based on anchor points, and the method comprises the steps: firstly finding key entities which play a role insupporting global information in an existing knowledge graph, and building a base coordinate system through the vectors of the entities; secondly, performing semantic alignment, including entity alignment and relationship fusion, on the newly added knowledge and the existing knowledge graph; finally, carrying out representation learning under a base coordinate system, so that only newly-added knowledge and related local knowledge of an existing knowledge graph need to be combined for training, a new knowledge entity is placed at a proper position in a knowledge space, and self-adaptive growthof the dynamic knowledge graph is achieved. The method has the beneficial effects that text information of entities and relationships is used as a semantic basis, and an information basis of knowledge fusion is provided, so that entity alignment and relationship fusion are more comprehensive and sufficient; a word2vec vector generation model is utilized to convert text information of entities andrelations into a vector form, so that the text information is used for mathematical operation.
Owner:CHINA UNIV OF GEOSCIENCES (WUHAN)

Method of teaching mathematical operations and functions using a new numerical notation system

InactiveUS20050095565A1Teaching apparatusMathematical ComputingMathematical notion
A method of teaching mathematical operations is disclosed. The method includes employing a new numerical notation system. The numerical notation system is comprised of a vertical line (staff) and a plurality of points along the vertical line. The points along the vertical represent a numerical value, and any point along the vertical line has a value equal to two times the value of the immediately preceding point. One point along the vertical line is designated as the unity point, which is the point at which whole integers begin. The unity point has a numerical value of one (1). Points above the unity point represent fractional values. The numerical notation system indicates or represents a number value by one or more perpendicular lines (flags) extending to the right or left of the vertical line represent negative values. A number value is represented in the notation system by the sum of the value of the perpendicular lines extending from the points along the vertical line. The method, which employs the numerical notation system, is useful for, among other things, teaching the nature and features of mathematical operations and helping people understand multi-base arithmetic. The numerical notational system may be useful to teach mathematical concepts to children and adults who have math learning disabilities.
Owner:STEINBERG JOEL S +1

A position compensation method for fast moving object tracking in a video

The invention relates to a position compensation method for fast moving object tracking in a video. The multi-frame object detection result in the continuous frame video is used as a reference, the relation between the object detection result of the current input frame and the object detection result of the previous frame and the multi-frame is calculated, and when the object rapidly moves, the corresponding final detection position information is more accurate by means of calculation and compensation addition. According to the method, the simple mathematical operation is used for carrying outresult association calculation between upper and lower frames on object detection in a video, so that the situation that a detection frame cannot follow up due to high speed in the detection trackingprocess is avoided. Offsets are calculated on the basis of the weights and the objects storing the FPS number, and better excessive smoothness can be obtained compared with direct averaging. The complex noise reduction and other processing do not need to be carried out on an input image, no special requirement is needed for an object detector, and the detection rate can be greatly increased, andenough computing efficiency can be ensured in low-end embedded equipment.
Owner:广州二元科技有限公司
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