MATRIX-VECTOR ALGORITHMS OF LOCAL POSTERIORI INFERENCE IN ALGEBRAIC BAYESIAN NETWORKS ON QUANTA PROPOSITIONS
Annotation
Posteriori inference is one of the three kinds of probabilistic-logic inferences in the probabilistic graphical models theory and the base for processing of knowledge patterns with probabilistic uncertainty using Bayesian networks. The paper deals with a task of local posteriori inference description in algebraic Bayesian networks that represent a class of probabilistic graphical models by means of matrix-vector equations. The latter are essentially based on the use of tensor product of matrices, Kronecker degree and Hadamard product. Matrix equations for calculating posteriori probabilities vectors within posteriori inference in knowledge patterns with quanta propositions are obtained. Similar equations of the same type have already been discussed within the confines of the theory of algebraic Bayesian networks, but they were built only for the case of posteriori inference in the knowledge patterns on the ideals of conjuncts. During synthesis and development of matrix-vector equations on quanta propositions probability vectors, a number of earlier results concerning normalizing factors in posteriori inference and assignment of linear projective operator with a selector vector was adapted. We consider all three types of incoming evidences - deterministic, stochastic and inaccurate - combined with scalar and interval estimation of probability truth of propositional formulas in the knowledge patterns. Linear programming problems are formed. Their solution gives the desired interval values of posterior probabilities in the case of inaccurate evidence or interval estimates in a knowledge pattern. That sort of description of a posteriori inference gives the possibility to extend the set of knowledge pattern types that we can use in the local and global posteriori inference, as well as simplify complex software implementation by use of existing third-party libraries, effectively supporting submission and processing of matrices and vectors when programming in Java, C++ or C#.
Keywords
Постоянный URL
Articles in current issue
- A METHODOLOGY FOR DESIGN SPACE EXPLORATION OF REAL-TIME LOCATION SYSTEMS
- FIBER OPTIC SENSOR MODIFIED BY GRAFTING OF THE MOLECULARLY IMPRINTED POLYMER FOR THE DETECTION OF AMMONIUM IN AQUEOUS MEDIA
- PREPARATION AND CHARACTERIZATION OF STRONTIUM FLUORIDE POWDERS ACTIVATED BY NEODYMIUM FLUORIDE
- METHOD OF GROUP OBJECTS FORMING FOR SPACE-BASED REMOTE SENSING OF THE EARTH
- METHOD OF RADIOMETRIC DISTORTION CORRECTION OF MULTISPECTRAL DATA FOR THE EARTH REMOTE SENSING
- ASPHERICAL SURFACES APPROXIMATION IN AUTOMATED DESIGN OF OPTICAL SYSTEMS
- PHASE SHIFT INFLUENCE RESEARCH OF THE REFERENCE OSCILLATOR SIGNAL ON THE OUTPUT SIGNAL IN HOMODYNE DEMODULATION SCHEME
- TRACKING CONTROL FOR A HYDRAULIC DRIVE WITH A PRESSURE COMPENSATOR
- AN ALGORITHM OF ADAPTIVE TORQUE CONTROL IN INJECTOR INTERNAL COMBUSTION ENGINE
- ON THE SPECIFIC FEATURES OF SILICON CARBIDE HETEROPOLYTYPE EPITAXY
- PEOPLE RETRIEVAL BY MEANS OF COMPOSITE PICTURES: METHODS, SYSTEMS AND PRACTICAL DECISIONS
- DISTRIBUTED GENERATION OF COMPUTER MUSIC IN THE INTERNET OF THINGS
- APPLICATION OF MICROPHONE ARRAYS FOR DISTANT SPEECH CAPTURE
- HARDWARE ENVIRONMENT FACTOR FOR CONTROL SIGNAL TRANSFER TO A PLANT IN THE SYNTHESIS PROBLEM OF DISCRETE SYSTEMS
- PROCESSING METHOD DEVELOPMENT OF CONTROL LOW-FREQUENCY SIGNALS FOR THE INTELLECTUAL TRAINER
- DATA TRANSLATION BETWEEN PADS AND CAM350
- INCREASE OF STABILITY AT JPEG COMPRESSION OF THE DIGITAL WATERMARKS EMBEDDED IN STILL IMAGES
- ESTIMATION OF INTRUSION DETECTION PROBABILITY BY PASSIVE INFRARED DETECTORS
- FINITE ELEMENT FOR STRESS-STRAIN STATE MODELING OF TWO-LAYERED AXIALLY SYMMETRIC SHELLS
- ONE-DIMENSIONAL GAS DYNAMICS PROBLEMS AND THEIR SOLUTION BASED ON HIGH-RESOLUTION FINITE DIFFERENCE SCHEMES
- MONOTONIC DERIVATIVE CORRECTION FOR CALCULATION OF SUPERSONIC FLOWS WITH SHOCK WAVES
- REMOTE SYNTHESIS AND CONTROL INFORMATION TECHNOLOGY OF SYSTEM-DYNAMIC MODELS
- ANALYSIS AND QUANTITATIVE ASSESSMENT FOR RESULTS OF EDUCATIONAL PROGRAMS APPLICATION BY MEANS OF DIAGNOSTIC TESTS
- RETRIEVAL TIME RESEARCH IN TEMPORAL KNOWLEDGE BASES WITH DYNAMIC CONTENT