7 research outputs found
The Automatic Design of Multimode Resonator Topology with Evolutionary Algorithms
Microwave electromagnetic devices have been used for many applications in tropospheric communication, navigation, radar systems, and measurement. The development of the signal preprocessing units including frequency-selective devices (bandpass filters) determines the reliability and usability of such systems. In wireless sensor network nodes, filters with microstrip resonators are widely used to improve the out-of-band suppression and frequency selectivity. Filters based on multimode microstrip resonators have an order that determines their frequency-selective properties, which is a multiple of the number of resonators. That enables us to reduce the size of systems without deteriorating their selective properties. Various microstrip multimode resonator topologies can be used for both filters and microwave sensors, however, the quality criteria for them may differ. The development of every resonator topology is time consuming. We propose a technique for the automatic generation of the resonator topology with required frequency characteristics based on the use of evolutionary algorithms. The topology is encoded into a set of real valued parameters, which are varied to achieve the desired features. The differential evolution algorithm and the genetic algorithm with simulated binary crossover and polynomial mutation are applied to solve the formulated problem using the dynamic penalties method. The experimental results show that our technique enables us to find microstrip resonator topologies with desired amplitude-frequency characteristics automatically, and manufactured devices demonstrate characteristics very close to the results of the algorithm. The proposed algorithmic approach may be used for automatically exploring the new perspective topologies of resonators used in microwave filters, radar antennas or sensors, in accordance with the defined criteria and constraints
Possibilities of Neural Network Powder Diffraction Analysis Crystal Structure of Chemical Compounds
Some possibilities of using convolutional artificial neural networks (ANN) for powder diffraction
structural analysis of crystalline substances have been investigated. First, ANNs are used to classify
crystalline systems and space groups according to calculated full-profile diffractograms calculated from
the crystal structures of the ICSD database (2017 year). The ICSD database contains 192004 structures,
of which 80% was used for in-depth network training, and 20% for independent testing of recognition
accuracy. The accuracy of classification by a network of crystalline systems was 87.9%, and that of
space groups was 77.2%. Secondly, the ANN is used for a similar classification of structural models
generated by the stochastic genetic algorithm in the search processes for triclinic crystal structures of
test compound K4SnO4 according to their full-profile diffraction patterns. The classification criterion
was the entry of one or several atoms into their crystallographic positions in the structure of a substance.
Independent deep network training was performed on 120 thousand structural models of the K4PbO4
triclinic structure generated in several runs of the genetic algorithm. The accuracy of the classification
of K4SnO4 structural models exceeded 50%. The results show that deeply trained convolutional ANNs
can be effective for classifying crystal structures according to the structural characteristics of their
powder diffraction patterns
ΠΠΎΠΎΠΏΠ΅ΡΠ°ΡΠΈΡ Π±ΠΈΠΎΠ½ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΈ ΡΠ²ΠΎΠ»ΡΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ Π°Π»Π³ΠΎΡΠΈΡΠΌΠΎΠ² Π΄Π»Ρ Π·Π°Π΄Π°Ρ ΠΏΡΠΎΠ΅ΠΊΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΈΡΠΊΡΡΡΡΠ²Π΅Π½Π½ΡΡ Π½Π΅ΠΉΡΠΎΠ½Π½ΡΡ ΡΠ΅ΡΠ΅ΠΉ
A meta-heuristic called Co-Operation of Biology-Related Algorithms (COBRA) with a fuzzy controller, as
well as a new algorithm based on the cooperation of Differential Evolution and Particle Swarm Optimiza-
tion (DE+PSO) and developed for solving real-valued optimization problems, were applied to the design
of artificial neural networks. The usefulness and workability of both meta-heuristic approaches were
demonstrated on various benchmarks. The neural networkβs weight coefficients represented as a string
of real-valued variables are adjusted with the fuzzy controlled COBRA or with DE+PSO. Two classifica-
tion problems (image and speech recognition problems) were solved with these approaches. Experiments showed that both cooperative optimization techniques demonstrate high performance and reliability in spite of the complexity of the solved optimization problems. The workability and usefulness of the proposed meta-heuristic optimization algorithms are confirmedΠ Π°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π½ΡΠ΅ ΠΊΠΎΠΎΠΏΠ΅ΡΠ°ΡΠΈΠ²Π½ΡΠΉ Π±ΠΈΠΎΠ½ΠΈΡΠ΅ΡΠΊΠΈΠΉ Π°Π»Π³ΠΎΡΠΈΡΠΌ (COBRA) Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Π½Π΅ΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΊΠΎΠ½ΡΡΠΎΠ»Π»Π΅ΡΠ° ΠΈ Π½ΠΎΠ²ΡΠΉ ΠΊΠΎΠ»Π»Π΅ΠΊΡΠΈΠ²Π½ΡΠΉ Π°Π»Π³ΠΎΡΠΈΡΠΌ Π½Π° Π±Π°Π·Π΅ Π΄ΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΠ°Π»ΡΠ½ΠΎΠΉ ΡΠ²ΠΎΠ»ΡΡΠΈΠΈ ΠΈ ΠΌΠ΅ΡΠΎΠ΄Π° ΡΠΎΡ ΡΠ°ΡΡΠΈΡ
(DE+PSO) Π΄Π»Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ Π·Π°Π΄Π°Ρ ΠΎΠΏΡΠΈΠΌΠΈΠ·Π°ΡΠΈΠΈ ΡΡΠ½ΠΊΡΠΈΠΉ Π²Π΅ΡΠ΅ΡΡΠ²Π΅Π½Π½ΡΡ
ΠΏΠ΅ΡΠ΅ΠΌΠ΅Π½Π½ΡΡ
Π±ΡΠ»ΠΈ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½Ρ Π΄Π»Ρ ΠΏΡΠΎΠ΅ΠΊΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΈΡΠΊΡΡΡΡΠ²Π΅Π½Π½ΡΡ
Π½Π΅ΠΉΡΠΎΠ½Π½ΡΡ
ΡΠ΅ΡΠ΅ΠΉ. Π Π°Π±ΠΎΡΠΎΡΠΏΠΎΡΠΎΠ±Π½ΠΎΡΡΡ ΠΈ ΡΠ΅Π»Π΅ΡΠΎΠΎΠ±ΡΠ°Π·Π½ΠΎΡΡΡ
ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΡ ΠΎΠ±Π΅ΠΈΡ
ΠΌΠ΅ΡΠ°-ΡΠ²ΡΠΈΡΡΠΈΠΊ Π±ΡΠ»ΠΈ ΠΏΡΠΎΠ΄Π΅ΠΌΠΎΠ½ΡΡΡΠΈΡΠΎΠ²Π°Π½Ρ Π½Π° ΠΌΠ½ΠΎΠΆΠ΅ΡΡΠ²Π΅ ΡΠ΅ΡΡΠΎΠ²ΡΡ
Π·Π°Π΄Π°Ρ. ΠΠ΅ΡΠΎΠ²ΡΠ΅ ΠΊΠΎΡΡΡΠΈΡΠΈΠ΅Π½ΡΡ Π½Π΅ΠΉΡΠΎΠ½Π½ΡΡ
ΡΠ΅ΡΠ΅ΠΉ Π±ΡΠ»ΠΈ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ Π² Π²ΠΈΠ΄Π΅ Π²Π΅ΡΠ΅ΡΡΠ²Π΅Π½Π½ΡΡ
ΠΏΠ΅ΡΠ΅ΠΌΠ΅Π½Π½ΡΡ
, ΠΊΠΎΡΠΎΡΡΠ΅ Π½Π°ΡΡΡΠ°ΠΈΠ²Π°Π»ΠΈΡΡ Π°Π»Π³ΠΎΡΠΈΡΠΌΠ°ΠΌΠΈ COBRA Ρ Π½Π΅ΡΠ΅ΡΠΊΠΈΠΌ ΠΊΠΎΠ½ΡΡΠΎΠ»Π»Π΅ΡΠΎΠΌ ΠΈΠ»ΠΈ DE+PSO. ΠΠΎΠ»ΡΡΠ΅Π½Π½ΡΠΌΠΈ Π½Π΅ΠΉΡΠΎΡΠ΅ΡΡΠΌΠΈ Π±ΡΠ»ΠΈ ΡΠ΅ΡΠ΅Π½Ρ Π΄Π²Π΅ Π·Π°Π΄Π°ΡΠΈ ΠΊΠ»Π°ΡΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ (Π·Π°Π΄Π°ΡΠΈ ΡΠ°ΡΠΏΠΎΠ·Π½Π°Π²Π°Π½ΠΈΡ ΠΎΠ±ΡΠ°Π·ΠΎΠ² ΠΈ ΡΠ΅ΡΠΈ). ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΏΠΎΠΊΠ°Π·Π°Π»ΠΈ, ΡΡΠΎ ΠΎΠ±Π° Π°Π»Π³ΠΎΡΠΈΡΠΌΠ° ΡΠ°Π±ΠΎΡΠ°ΡΡ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎ, Π½Π΅ΡΠΌΠΎΡΡΡ Π½Π° ΡΠ»ΠΎΠΆΠ½ΠΎΡΡΡ Π·Π°Π΄Π°Ρ. Π’Π°ΠΊΠΈΠΌ ΠΎΠ±ΡΠ°Π·ΠΎΠΌ, Π±ΡΠ»Π° ΠΏΠΎΠ΄ΡΠ²Π΅ΡΠΆΠ΄Π΅Π½Π° ΠΈΡ
ΡΠ°Π±ΠΎΡΠΎΡΠΏΠΎΡΠΎΠ±Π½ΠΎΡΡΡ Π½Π° ΠΏΡΠ°ΠΊΡΠΈΡΠ΅ΡΠΊΠΈΡ
Π·Π°Π΄Π°ΡΠ°Ρ
ΠΠΎΠΎΠΏΠ΅ΡΠ°ΡΠΈΡ Π±ΠΈΠΎΠ½ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΈ ΡΠ²ΠΎΠ»ΡΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ Π°Π»Π³ΠΎΡΠΈΡΠΌΠΎΠ² Π΄Π»Ρ Π·Π°Π΄Π°Ρ ΠΏΡΠΎΠ΅ΠΊΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΈΡΠΊΡΡΡΡΠ²Π΅Π½Π½ΡΡ Π½Π΅ΠΉΡΠΎΠ½Π½ΡΡ ΡΠ΅ΡΠ΅ΠΉ
A meta-heuristic called Co-Operation of Biology-Related Algorithms (COBRA) with a fuzzy controller, as
well as a new algorithm based on the cooperation of Differential Evolution and Particle Swarm Optimiza-
tion (DE+PSO) and developed for solving real-valued optimization problems, were applied to the design
of artificial neural networks. The usefulness and workability of both meta-heuristic approaches were
demonstrated on various benchmarks. The neural networkβs weight coefficients represented as a string
of real-valued variables are adjusted with the fuzzy controlled COBRA or with DE+PSO. Two classifica-
tion problems (image and speech recognition problems) were solved with these approaches. Experiments showed that both cooperative optimization techniques demonstrate high performance and reliability in spite of the complexity of the solved optimization problems. The workability and usefulness of the proposed meta-heuristic optimization algorithms are confirmedΠ Π°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π½ΡΠ΅ ΠΊΠΎΠΎΠΏΠ΅ΡΠ°ΡΠΈΠ²Π½ΡΠΉ Π±ΠΈΠΎΠ½ΠΈΡΠ΅ΡΠΊΠΈΠΉ Π°Π»Π³ΠΎΡΠΈΡΠΌ (COBRA) Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Π½Π΅ΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΊΠΎΠ½ΡΡΠΎΠ»Π»Π΅ΡΠ° ΠΈ Π½ΠΎΠ²ΡΠΉ ΠΊΠΎΠ»Π»Π΅ΠΊΡΠΈΠ²Π½ΡΠΉ Π°Π»Π³ΠΎΡΠΈΡΠΌ Π½Π° Π±Π°Π·Π΅ Π΄ΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΠ°Π»ΡΠ½ΠΎΠΉ ΡΠ²ΠΎΠ»ΡΡΠΈΠΈ ΠΈ ΠΌΠ΅ΡΠΎΠ΄Π° ΡΠΎΡ ΡΠ°ΡΡΠΈΡ
(DE+PSO) Π΄Π»Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ Π·Π°Π΄Π°Ρ ΠΎΠΏΡΠΈΠΌΠΈΠ·Π°ΡΠΈΠΈ ΡΡΠ½ΠΊΡΠΈΠΉ Π²Π΅ΡΠ΅ΡΡΠ²Π΅Π½Π½ΡΡ
ΠΏΠ΅ΡΠ΅ΠΌΠ΅Π½Π½ΡΡ
Π±ΡΠ»ΠΈ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½Ρ Π΄Π»Ρ ΠΏΡΠΎΠ΅ΠΊΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΈΡΠΊΡΡΡΡΠ²Π΅Π½Π½ΡΡ
Π½Π΅ΠΉΡΠΎΠ½Π½ΡΡ
ΡΠ΅ΡΠ΅ΠΉ. Π Π°Π±ΠΎΡΠΎΡΠΏΠΎΡΠΎΠ±Π½ΠΎΡΡΡ ΠΈ ΡΠ΅Π»Π΅ΡΠΎΠΎΠ±ΡΠ°Π·Π½ΠΎΡΡΡ
ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΡ ΠΎΠ±Π΅ΠΈΡ
ΠΌΠ΅ΡΠ°-ΡΠ²ΡΠΈΡΡΠΈΠΊ Π±ΡΠ»ΠΈ ΠΏΡΠΎΠ΄Π΅ΠΌΠΎΠ½ΡΡΡΠΈΡΠΎΠ²Π°Π½Ρ Π½Π° ΠΌΠ½ΠΎΠΆΠ΅ΡΡΠ²Π΅ ΡΠ΅ΡΡΠΎΠ²ΡΡ
Π·Π°Π΄Π°Ρ. ΠΠ΅ΡΠΎΠ²ΡΠ΅ ΠΊΠΎΡΡΡΠΈΡΠΈΠ΅Π½ΡΡ Π½Π΅ΠΉΡΠΎΠ½Π½ΡΡ
ΡΠ΅ΡΠ΅ΠΉ Π±ΡΠ»ΠΈ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ Π² Π²ΠΈΠ΄Π΅ Π²Π΅ΡΠ΅ΡΡΠ²Π΅Π½Π½ΡΡ
ΠΏΠ΅ΡΠ΅ΠΌΠ΅Π½Π½ΡΡ
, ΠΊΠΎΡΠΎΡΡΠ΅ Π½Π°ΡΡΡΠ°ΠΈΠ²Π°Π»ΠΈΡΡ Π°Π»Π³ΠΎΡΠΈΡΠΌΠ°ΠΌΠΈ COBRA Ρ Π½Π΅ΡΠ΅ΡΠΊΠΈΠΌ ΠΊΠΎΠ½ΡΡΠΎΠ»Π»Π΅ΡΠΎΠΌ ΠΈΠ»ΠΈ DE+PSO. ΠΠΎΠ»ΡΡΠ΅Π½Π½ΡΠΌΠΈ Π½Π΅ΠΉΡΠΎΡΠ΅ΡΡΠΌΠΈ Π±ΡΠ»ΠΈ ΡΠ΅ΡΠ΅Π½Ρ Π΄Π²Π΅ Π·Π°Π΄Π°ΡΠΈ ΠΊΠ»Π°ΡΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ (Π·Π°Π΄Π°ΡΠΈ ΡΠ°ΡΠΏΠΎΠ·Π½Π°Π²Π°Π½ΠΈΡ ΠΎΠ±ΡΠ°Π·ΠΎΠ² ΠΈ ΡΠ΅ΡΠΈ). ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΏΠΎΠΊΠ°Π·Π°Π»ΠΈ, ΡΡΠΎ ΠΎΠ±Π° Π°Π»Π³ΠΎΡΠΈΡΠΌΠ° ΡΠ°Π±ΠΎΡΠ°ΡΡ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎ, Π½Π΅ΡΠΌΠΎΡΡΡ Π½Π° ΡΠ»ΠΎΠΆΠ½ΠΎΡΡΡ Π·Π°Π΄Π°Ρ. Π’Π°ΠΊΠΈΠΌ ΠΎΠ±ΡΠ°Π·ΠΎΠΌ, Π±ΡΠ»Π° ΠΏΠΎΠ΄ΡΠ²Π΅ΡΠΆΠ΄Π΅Π½Π° ΠΈΡ
ΡΠ°Π±ΠΎΡΠΎΡΠΏΠΎΡΠΎΠ±Π½ΠΎΡΡΡ Π½Π° ΠΏΡΠ°ΠΊΡΠΈΡΠ΅ΡΠΊΠΈΡ
Π·Π°Π΄Π°ΡΠ°Ρ
ΠΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ ΡΠ°ΠΌΠΎΠΊΠΎΠ½ΡΠΈΠ³ΡΡΠΈΡΡΠ΅ΠΌΠΎΠ³ΠΎ Π³Π΅Π½Π΅ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π°Π»Π³ΠΎΡΠΈΡΠΌΠ° Π΄Π»Ρ ΡΠΏΡΠ°Π²Π»eΠ½ΠΈΡ ΡΠ΅Π»ΠΎΠ²Π΅ΡΠ΅ΡΠΊΠΈΠΌΠΈ ΡΠ΅ΡΡΡΡΠ°ΠΌΠΈ
This paper describes the problem of human resource management which can appear in many organiza-
tions during restructuration periods. The problem is simulated by a dynamic model, similar to a supply
chain model with several ranks. The problem of finding the optimal combination of transition coefficients,
including the fluctuation coefficients, is transformed into an optimization problem. To solve this prob-
lem, a self-configuring genetic algorithm is applied with several constraint handling methods. Additional
constraints are defined in order to avoid undesirable oscillations in the system. The results show that
this problem can be efficiently solved by the presented methodsΠ Π΄Π°Π½Π½ΠΎΠΉ ΡΡΠ°ΡΡΠ΅ ΠΎΠΏΠΈΡΡΠ²Π°Π΅ΡΡΡ Π·Π°Π΄Π°ΡΠ° ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ ΡΠ΅Π»ΠΎΠ²Π΅ΡΠ΅ΡΠΊΠΈΠΌΠΈ ΡΠ΅ΡΡΡΡΠ°ΠΌΠΈ, ΠΊΠΎΡΠΎΡΠ°Ρ ΠΌΠΎΠΆΠ΅Ρ
Π±ΡΡΡ Π°ΠΊΡΡΠ°Π»ΡΠ½ΠΎΠΉ Π΄Π»Ρ ΠΎΡΠ³Π°Π½ΠΈΠ·Π°ΡΠΈΠΉ Π² ΠΏΠ΅ΡΠΈΠΎΠ΄ ΡΠ΅ΡΡΡΡΠΊΡΡΡΠΈΠ·Π°ΡΠΈΠΈ. ΠΠΎΠ²Π΅Π΄Π΅Π½ΠΈΠ΅ ΡΠΈΡΡΠ΅ΠΌΡ ΠΎΠΏΠΈΡΡΠ²Π°Π΅ΡΡΡ
Π΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΈΠΌΠΈΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΡΡ, Π°Π½Π°Π»ΠΎΠ³ΠΈΡΠ½ΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΡΠ΅ΠΏΠΈ ΠΏΠΎΡΡΠ°Π²ΠΎΠΊ Ρ Π½Π΅ΡΠΊΠΎΠ»ΡΠΊΠΈΠΌΠΈ ΡΠ°Π½Π³Π°-
ΠΌΠΈ. ΠΠΎΠΈΡΠΊ ΠΎΠΏΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠΉ ΠΊΠΎΠΌΠ±ΠΈΠ½Π°ΡΠΈΠΈ ΠΏΠ΅ΡΠ΅Π΄Π°ΡΠΎΡΠ½ΡΡ
ΠΊΠΎΡΡΡΠΈΡΠΈΠ΅Π½ΡΠΎΠ², Π²ΠΊΠ»ΡΡΠ°ΡΡΠΈΡ
ΡΠ°ΠΊΠΆΠ΅ ΠΊΠΎΡΡ-
ΡΠΈΡΠΈΠ΅Π½ΡΡ ΡΠ»ΡΠΊΡΡΠ°ΡΠΈΠΉ, ΡΠ²ΠΎΠ΄ΠΈΡΡΡ ΠΊ Π·Π°Π΄Π°ΡΠ΅ ΠΎΠΏΡΠΈΠΌΠΈΠ·Π°ΡΠΈΠΈ. ΠΠ»Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ ΡΡΠΎΠΉ Π·Π°Π΄Π°ΡΠΈ ΠΏΡΠΈΠΌΠ΅Π½ΡΠ΅Ρ-
ΡΡ ΡΠ°ΠΌΠΎΠΊΠΎΠ½ΡΠΈΠ³ΡΡΠΈΡΡΠ΅ΠΌΡΠΉ Π³Π΅Π½Π΅ΡΠΈΡΠ΅ΡΠΊΠΈΠΉ Π°Π»Π³ΠΎΡΠΈΡΠΌ Ρ Π½Π΅ΡΠΊΠΎΠ»ΡΠΊΠΈΠΌΠΈ ΠΌΠ΅ΡΠΎΠ΄Π°ΠΌΠΈ ΡΡΠ΅ΡΠ° ΠΎΠ³ΡΠ°Π½ΠΈΡΠ΅Π½ΠΈΠΉ.
ΠΠ³ΡΠ°Π½ΠΈΡΠ΅Π½ΠΈΡ Π² Π΄Π°Π½Π½ΠΎΠΉ ΠΏΡΠΎΠ±Π»Π΅ΠΌΠ΅ Π²ΠΎΠ·Π½ΠΈΠΊΠ°ΡΡ Π² ΡΠ²ΡΠ·ΠΈ Ρ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΠΎΡΡΡΡ ΠΈΠ·Π±Π΅ΠΆΠ°ΡΡ Π½Π΅ΠΆΠ΅Π»Π°ΡΠ΅Π»Ρ-
Π½ΡΡ
ΠΎΡΡΠΈΠ»Π»ΡΡΠΈΠΉ Π² ΡΠΈΡΡΠ΅ΠΌΠ΅. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΏΠΎΠΊΠ°Π·ΡΠ²Π°ΡΡ, ΡΡΠΎ ΠΏΠΎΡΡΠ°Π²Π»Π΅Π½Π½Π°Ρ Π·Π°Π΄Π°ΡΠ° ΠΌΠΎΠΆΠ΅Ρ Π±ΡΡΡ
ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎ ΡΠ΅ΡΠ΅Π½Π° ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Π½ΡΠΌΠΈ ΠΌΠ΅ΡΠΎΠ΄Π°ΠΌ
Possibilities of Neural Network Powder Diffraction Analysis Crystal Structure of Chemical Compounds
ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Ρ Π½Π΅ΠΊΠΎΡΠΎΡΡΠ΅ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΠΈ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΡ ΡΠ²Π΅ΡΡΠΎΡΠ½ΡΡ
ΠΈΡΠΊΡΡΡΡΠ²Π΅Π½Π½ΡΡ
Π½Π΅ΠΉΡΠΎΠ½Π½ΡΡ
ΡΠ΅ΡΠ΅ΠΉ (ΠΠΠ‘) Π΄Π»Ρ ΠΏΠΎΡΠΎΡΠΊΠΎΠ²ΠΎΠ³ΠΎ Π΄ΠΈΡΡΠ°ΠΊΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΡΡΡΠΊΡΡΡΠ½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π° ΠΊΡΠΈΡΡΠ°Π»Π»ΠΈΡΠ΅ΡΠΊΠΈΡ
Π²Π΅ΡΠ΅ΡΡΠ². ΠΠΎ-ΠΏΠ΅ΡΠ²ΡΡ
, ΠΠΠ‘ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½Ρ Π΄Π»Ρ ΠΊΠ»Π°ΡΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ ΠΊΡΠΈΡΡΠ°Π»Π»ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠΈΡΡΠ΅ΠΌ ΠΈ
ΠΏΡΠΎΡΡΡΠ°Π½ΡΡΠ²Π΅Π½Π½ΡΡ
Π³ΡΡΠΏΠΏ ΡΠΈΠΌΠΌΠ΅ΡΡΠΈΠΈ ΠΏΠΎ ΡΠ°ΡΡΠ΅ΡΠ½ΡΠΌ ΠΏΠΎΠ»Π½ΠΎΠΏΡΠΎΡΠΈΠ»ΡΠ½ΡΠΌ Π΄ΠΈΡΡΠ°ΠΊΡΠΎΠ³ΡΠ°ΠΌΠΌΠ°ΠΌ,
Π²ΡΡΠΈΡΠ»Π΅Π½Π½ΡΠΌ ΠΈΠ· ΠΊΡΠΈΡΡΠ°Π»Π»ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΡΡΡΠΊΡΡΡ Π±Π°Π·Ρ Π΄Π°Π½Π½ΡΡ
ICSD 2017 Π³. ΠΠ°Π·Π° ICSD ΡΠΎΠ΄Π΅ΡΠΆΠΈΡ
192004 ΡΡΡΡΠΊΡΡΡΡ, ΠΈΠ· ΠΊΠΎΡΠΎΡΡΡ
80 % ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π»ΠΎΡΡ Π΄Π»Ρ Π³Π»ΡΠ±ΠΎΠΊΠΎΠ³ΠΎ ΠΎΠ±ΡΡΠ΅Π½ΠΈΡ ΡΠ΅ΡΠΈ, Π° 20 %
Π΄Π»Ρ Π½Π΅Π·Π°Π²ΠΈΡΠΈΠΌΠΎΠ³ΠΎ ΡΠ΅ΡΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΠΎΡΠ½ΠΎΡΡΠΈ ΡΠ°ΡΠΏΠΎΠ·Π½Π°Π²Π°Π½ΠΈΡ. Π’ΠΎΡΠ½ΠΎΡΡΡ ΠΊΠ»Π°ΡΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ
ΡΠ΅ΡΡΡ ΠΊΡΠΈΡΡΠ°Π»Π»ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠΈΡΡΠ΅ΠΌ ΡΠΎΡΡΠ°Π²ΠΈΠ»Π° 87,9 %, Π° ΠΏΡΠΎΡΡΡΠ°Π½ΡΡΠ²Π΅Π½Π½ΡΡ
Π³ΡΡΠΏΠΏ β 77,2 %. ΠΠΎ-
Π²ΡΠΎΡΡΡ
, Π΄ΡΡΠ³Π°Ρ ΠΠΠ‘ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½Π° Π΄Π»Ρ ΠΊΠ»Π°ΡΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ ΡΡΡΡΠΊΡΡΡΠ½ΡΡ
ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ, ΡΠ³Π΅Π½Π΅ΡΠΈΡΠΎΠ²Π°Π½Π½ΡΡ
ΡΡΠΎΡ
Π°ΡΡΠΈΡΠ΅ΡΠΊΠΈΠΌ Π³Π΅Π½Π΅ΡΠΈΡΠ΅ΡΠΊΠΈΠΌ Π°Π»Π³ΠΎΡΠΈΡΠΌΠΎΠΌ Π² ΠΏΡΠΎΡΠ΅ΡΡΠ°Ρ
ΠΏΠΎΠΈΡΠΊΠ° ΠΊΡΠΈΡΡΠ°Π»Π»ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΡΡΡΠΊΡΡΡ
ΡΠ΅ΡΡΠΎΠ²ΡΡ
ΡΡΠΈΠΊΠ»ΠΈΠ½Π½ΡΡ
ΡΠΎΠ΅Π΄ΠΈΠ½Π΅Π½ΠΈΠΉ K4SnO4 ΠΈ K4SnO4, ΠΏΠΎ ΠΈΡ
ΠΏΠΎΠ»Π½ΠΎΠΏΡΠΎΡΠΈΠ»ΡΠ½ΡΠΌ Π΄ΠΈΡΡΠ°ΠΊΡΠΎΠ³ΡΠ°ΠΌΠΌΠ°ΠΌ.
ΠΡΠ»ΠΎ ΡΠ³Π΅Π½Π΅ΡΠΈΡΠΎΠ²Π°Π½ΠΎ ΠΎΠΊΠΎΠ»ΠΎ 150 ΡΡΡΡΡ ΡΡΡΡΠΊΡΡΡΠ½ΡΡ
ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ ΠΊΠ°ΠΆΠ΄ΠΎΠΉ ΠΈΠ· ΡΡΠΈΡ
ΡΡΡΡΠΊΡΡΡ. ΠΠ»ΡΠ±ΠΎΠΊΠΎΠ΅
ΠΎΠ±ΡΡΠ΅Π½ΠΈΠ΅ ΡΠ΅ΡΠΈ Π²ΡΠΏΠΎΠ»Π½ΡΠ»ΠΎΡΡ Π½Π° Π΄ΠΈΡΡΠ°ΠΊΡΠΎΠ³ΡΠ°ΠΌΠΌΠ°Ρ
ΡΡΡΡΠΊΡΡΡΠ½ΡΡ
ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ K4PbO4. ΠΠ±ΡΡΠ΅Π½Π½Π°Ρ ΡΠ΅ΡΡ
Π±ΡΠ»Π° ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½Π° Π΄Π»Ρ ΠΊΠ»Π°ΡΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ ΡΡΡΡΠΊΡΡΡΠ½ΡΡ
ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ K4SnO4 ΠΏΠΎ ΠΈΡ
Π΄ΠΈΡΡΠ°ΠΊΡΠΎΠ³ΡΠ°ΠΌΠΌΠ°ΠΌ.
ΠΡΠΈΡΠ΅ΡΠΈΠ΅ΠΌ ΠΊΠ»Π°ΡΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ ΡΠ²Π»ΡΠ»ΠΎΡΡ ΠΏΠΎΠΏΠ°Π΄Π°Π½ΠΈΠ΅ Π°ΡΠΎΠΌΠΎΠ² Π² ΠΈΡ
ΠΊΡΠΈΡΡΠ°Π»Π»ΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΏΠΎΠ·ΠΈΡΠΈΠΈ
Π² ΡΡΡΡΠΊΡΡΡΠ΅. Π’ΠΎΡΠ½ΠΎΡΡΡ ΠΊΠ»Π°ΡΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ Π°Π΄Π΅ΠΊΠ²Π°ΡΠ½ΡΡ
ΠΏΠΎΠ·ΠΈΡΠΈΠΉ Π°ΡΠΎΠΌΠΎΠ² Π² ΡΡΡΡΠΊΡΡΡΠ½ΡΡ
ΠΌΠΎΠ΄Π΅Π»ΡΡ
K4SnO4 ΠΏΡΠ΅Π²ΡΡΠΈΠ»Π° 50 %.Some possibilities of using convolutional artificial neural networks (ANN) for powder diffraction
structural analysis of crystalline substances have been investigated. First, ANNs are used to classify
crystalline systems and space groups according to calculated full-profile diffractograms calculated from
the crystal structures of the ICSD database (2017 year). The ICSD database contains 192004 structures,
of which 80% was used for in-depth network training, and 20% for independent testing of recognition
accuracy. The accuracy of classification by a network of crystalline systems was 87.9%, and that of
space groups was 77.2%. Secondly, the ANN is used for a similar classification of structural models
generated by the stochastic genetic algorithm in the search processes for triclinic crystal structures of
test compound K4SnO4 according to their full-profile diffraction patterns. The classification criterion
was the entry of one or several atoms into their crystallographic positions in the structure of a substance.
Independent deep network training was performed on 120 thousand structural models of the K4PbO4
triclinic structure generated in several runs of the genetic algorithm. The accuracy of the classification
of K4SnO4 structural models exceeded 50%. The results show that deeply trained convolutional ANNs
can be effective for classifying crystal structures according to the structural characteristics of their
powder diffraction pattern
ΠΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ ΡΠ°ΠΌΠΎΠΊΠΎΠ½ΡΠΈΠ³ΡΡΠΈΡΡΠ΅ΠΌΠΎΠ³ΠΎ Π³Π΅Π½Π΅ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π°Π»Π³ΠΎΡΠΈΡΠΌΠ° Π΄Π»Ρ ΡΠΏΡΠ°Π²Π»eΠ½ΠΈΡ ΡΠ΅Π»ΠΎΠ²Π΅ΡΠ΅ΡΠΊΠΈΠΌΠΈ ΡΠ΅ΡΡΡΡΠ°ΠΌΠΈ
This paper describes the problem of human resource management which can appear in many organiza-
tions during restructuration periods. The problem is simulated by a dynamic model, similar to a supply
chain model with several ranks. The problem of finding the optimal combination of transition coefficients,
including the fluctuation coefficients, is transformed into an optimization problem. To solve this prob-
lem, a self-configuring genetic algorithm is applied with several constraint handling methods. Additional
constraints are defined in order to avoid undesirable oscillations in the system. The results show that
this problem can be efficiently solved by the presented methodsΠ Π΄Π°Π½Π½ΠΎΠΉ ΡΡΠ°ΡΡΠ΅ ΠΎΠΏΠΈΡΡΠ²Π°Π΅ΡΡΡ Π·Π°Π΄Π°ΡΠ° ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ ΡΠ΅Π»ΠΎΠ²Π΅ΡΠ΅ΡΠΊΠΈΠΌΠΈ ΡΠ΅ΡΡΡΡΠ°ΠΌΠΈ, ΠΊΠΎΡΠΎΡΠ°Ρ ΠΌΠΎΠΆΠ΅Ρ
Π±ΡΡΡ Π°ΠΊΡΡΠ°Π»ΡΠ½ΠΎΠΉ Π΄Π»Ρ ΠΎΡΠ³Π°Π½ΠΈΠ·Π°ΡΠΈΠΉ Π² ΠΏΠ΅ΡΠΈΠΎΠ΄ ΡΠ΅ΡΡΡΡΠΊΡΡΡΠΈΠ·Π°ΡΠΈΠΈ. ΠΠΎΠ²Π΅Π΄Π΅Π½ΠΈΠ΅ ΡΠΈΡΡΠ΅ΠΌΡ ΠΎΠΏΠΈΡΡΠ²Π°Π΅ΡΡΡ
Π΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΈΠΌΠΈΡΠ°ΡΠΈΠΎΠ½Π½ΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΡΡ, Π°Π½Π°Π»ΠΎΠ³ΠΈΡΠ½ΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΡΠ΅ΠΏΠΈ ΠΏΠΎΡΡΠ°Π²ΠΎΠΊ Ρ Π½Π΅ΡΠΊΠΎΠ»ΡΠΊΠΈΠΌΠΈ ΡΠ°Π½Π³Π°-
ΠΌΠΈ. ΠΠΎΠΈΡΠΊ ΠΎΠΏΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠΉ ΠΊΠΎΠΌΠ±ΠΈΠ½Π°ΡΠΈΠΈ ΠΏΠ΅ΡΠ΅Π΄Π°ΡΠΎΡΠ½ΡΡ
ΠΊΠΎΡΡΡΠΈΡΠΈΠ΅Π½ΡΠΎΠ², Π²ΠΊΠ»ΡΡΠ°ΡΡΠΈΡ
ΡΠ°ΠΊΠΆΠ΅ ΠΊΠΎΡΡ-
ΡΠΈΡΠΈΠ΅Π½ΡΡ ΡΠ»ΡΠΊΡΡΠ°ΡΠΈΠΉ, ΡΠ²ΠΎΠ΄ΠΈΡΡΡ ΠΊ Π·Π°Π΄Π°ΡΠ΅ ΠΎΠΏΡΠΈΠΌΠΈΠ·Π°ΡΠΈΠΈ. ΠΠ»Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ ΡΡΠΎΠΉ Π·Π°Π΄Π°ΡΠΈ ΠΏΡΠΈΠΌΠ΅Π½ΡΠ΅Ρ-
ΡΡ ΡΠ°ΠΌΠΎΠΊΠΎΠ½ΡΠΈΠ³ΡΡΠΈΡΡΠ΅ΠΌΡΠΉ Π³Π΅Π½Π΅ΡΠΈΡΠ΅ΡΠΊΠΈΠΉ Π°Π»Π³ΠΎΡΠΈΡΠΌ Ρ Π½Π΅ΡΠΊΠΎΠ»ΡΠΊΠΈΠΌΠΈ ΠΌΠ΅ΡΠΎΠ΄Π°ΠΌΠΈ ΡΡΠ΅ΡΠ° ΠΎΠ³ΡΠ°Π½ΠΈΡΠ΅Π½ΠΈΠΉ.
ΠΠ³ΡΠ°Π½ΠΈΡΠ΅Π½ΠΈΡ Π² Π΄Π°Π½Π½ΠΎΠΉ ΠΏΡΠΎΠ±Π»Π΅ΠΌΠ΅ Π²ΠΎΠ·Π½ΠΈΠΊΠ°ΡΡ Π² ΡΠ²ΡΠ·ΠΈ Ρ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΠΎΡΡΡΡ ΠΈΠ·Π±Π΅ΠΆΠ°ΡΡ Π½Π΅ΠΆΠ΅Π»Π°ΡΠ΅Π»Ρ-
Π½ΡΡ
ΠΎΡΡΠΈΠ»Π»ΡΡΠΈΠΉ Π² ΡΠΈΡΡΠ΅ΠΌΠ΅. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΏΠΎΠΊΠ°Π·ΡΠ²Π°ΡΡ, ΡΡΠΎ ΠΏΠΎΡΡΠ°Π²Π»Π΅Π½Π½Π°Ρ Π·Π°Π΄Π°ΡΠ° ΠΌΠΎΠΆΠ΅Ρ Π±ΡΡΡ
ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎ ΡΠ΅ΡΠ΅Π½Π° ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Π½ΡΠΌΠΈ ΠΌΠ΅ΡΠΎΠ΄Π°ΠΌ