A generalization of the maximal entropy method for solving ill-posed problems

2000 ◽  
Vol 41 (4) ◽  
pp. 716-724 ◽  
Author(s):  
A. S. Leonov
Keyword(s):  
Entropy Method ◽  
Maximal Entropy ◽  
Maximal Entropy Method ◽  
Ill Posed

scholarly journals EXPERIENCE OF USING MAXIMAL ENTROPY METHOD (MAXENT) FOR ZONING OF THE TERRITORY BY HERS RISK USING NIZHNY NOVGOROD REGION AS AN EXAMPLE

2017 ◽  
pp. 39-45
Author(s):  
L. A. Solntsev ◽  
V. M. Dubyansky
Keyword(s):  
Potential Risk ◽  
Prediction Accuracy ◽  
Environmental Changes ◽  
Spatial Localization ◽  
Entropy Method ◽  
Maximal Entropy ◽  
Environment Factors ◽  
Vegetation Activity ◽  
Maximal Entropy Method ◽  
Nizhny Novgorod Region

Aim. Zoning of the territory of Nizhny Novgorod region by risk of HFRS infection using Maxent method. Materials and methods. Data from Centre of Hygiene and Epidemiology in Nizhny Novgorod region for each case of the HFRS for 2010 - 2016, data on environment (Bioclim), data on vegetation activity (MODIS) were used. ArcGIS 10.2.2 and Maxent 3.3.3k packages were used. Results. Model for evaluation of potential risk of HFRS in Nizhny Novgorod was developed and validated. Conclusion. The data obtained do not contradict the observed spatial localization of the cases of HFRS infection (prediction accuracy over 75%), detected connection between spatial localization of HFRS cases and combination of environment factors and allow to predict changes in borders of potentially dangerous segments after environmental changes.

scholarly journals Combined Conflict Evidence Based on Two-Tuple IOWA Operators

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1369 ◽  
Author(s):  
Ying Zhou ◽  
Xiyun Qin ◽  
Xiaozhe Zhao
Keyword(s):  
High Performance ◽  
Weighted Average ◽  
Entropy Method ◽  
Maximal Entropy ◽  
Aggregated Data ◽  
Conflicting Evidence ◽  
High Conflict ◽  
Maximal Entropy Method ◽  
Two Parameters ◽  
Iowa Operator

Due to poor natural factors and human interference, the information that was obtained by sensors tends to have high uncertainty and high conflict with others. A combination of highly conflicting evidence with Dempster’s rule often produces results that run counter to intuition. To solve the above problem, a conflict evidence combination methodology is proposed in this article, which contains the distance of evidence, classical conflict coefficient, and two-tuple IOWA operator. Both the classical conflict coefficient and Jousselme distance indicate the degree of evidence conflict, and it is clear that the two parameters are symmetrical. First, the two-tuple IOWA operator is proposed. Second, the orness is determined by aggregated data; then, the weighting vector is calculated by a maximal entropy method. Finally, the weighted average is the evidence in the system by a two-tuple IOWA operator; then, the Dempster combination rule is utilized to fuse information. Compared with other existing methods, the presented methodology has high performance when dealing with conflict evidence and has strong anti-interference ability.

IDENTIFICATIONS OF HASLER'S CLASSES OF LINEAR RESISTIVE CIRCUIT STRUCTURES

2004 ◽  
Vol 13 (05) ◽  
pp. 957-980
Author(s):  
J. CEL
Keyword(s):  
Sufficient Conditions ◽  
Input Power ◽  
Maximal Entropy ◽  
Cactus Graph ◽  
Resistance Function ◽  
Total Input ◽  
Feedback Structure ◽  
Ill Posed ◽  
System Of Parameters ◽  
Necessary And Sufficient

Formulae on first and second derivatives of various functions associated with a linear nullator–norator–resistance network such as total input power, driving-point and transfer resistances with respect to parameters are established. As a consequence, the concavity of the driving-point resistance with respect to the system of parameters is obtained which generalizes a scalar result of Schneider. An example is given showing that the driving-point resistance R of a nonreciprocal one-port is not monotone or convex or concave with respect to the system of resistances which shows that the Cohn–Vratsanos and the Shannon–Hagelbarger theorems which characterize R of reciprocal one-port cannot be extended in this way. Next, a simplified variant of the Shannon–Hagelbarger theorem is used to derive separate necessary and sufficient conditions characterizing always well-posed, sometimes ill-posed and always ill-posed classes of linear resistive circuit structures introduced and characterized by Hasler, both new in formulation and proof. This reveals that the form of the second partial derivative of the resistance function is responsible for various kinds of the structural solvability of linear circuits. Alternative "if and only if" criteria for these classes are established. They involve replacements of reciprocal circuit elements by combinations of contractions and removals leading to pairs of complementary directed nullator and directed norator trees with appropriately defined signs, and resemble therefore earlier famous Willson–Nielsen feedback structure and Chua–Nishi cactus graph criteria for circuits containing traditional controlled sources. Finally, the qualitative parts of the Cohn–Vratsanos and the Shannon–Hagelbarger theorems are shown to be simple consequences of much more general principles governing all aspects of life, such as maximal entropy and energy conservation laws.

Grey target decision-making model of interval grey number based on cone volume

2017 ◽  
Vol 7 (2) ◽  
pp. 247-258 ◽  
Author(s):  
Lizhen Wang ◽  
Wuyong Qian
Keyword(s):  
Decision Making ◽  
Entropy Method ◽  
Maximal Entropy ◽  
Information Distortion ◽  
Content Type ◽  
Model Based ◽  
Proposed Model ◽  
Grey Number ◽  
Decision Making Model ◽  
The Impact

Purpose The purpose of this paper is to propose a grey target decision model based on cobweb area in order to overcome the effect and influence from the extreme value of the index on the decision result. However, it does not take into account the impact of the correlation between indicators on the angle of the index, and produce a certain degree decision information distortion as a result of the equal angle between the indicators. In order to solve the above problems, a novel grey decision-making model based on cone volume is proposed. Design/methodology/approach In this paper, the model uses the whitening weight function to whiten the interval grey number, and the Delphi method and the maximal entropy method are exploited to integrate the weight of the index. On the basis of this, the center of the bull’s eye, the weight and the index value are constructed as the center circle, the radius, and the high cone, respectively. The scheme is selected by the volume of the cone, the decision is made according to the order relation, and the example is utilized to prove and analyze the validity of the proposed model. Findings The results show that the proposed model can well improve the traditional grey target decision-making model from the modeling object and modeling method. Practical implications The method exposed in the paper can be used to deal with the grey target decision-making problems which characteristics are multi-indexes, and the attribute values are interval grey numbers. Originality/value The paper succeeds in overcoming the disadvantages of grey target decision making based on the target center distance and the cobweb area.

scholarly journals APPLICATION OF TIME-FREQUENCY DECOMPOSITION METHOD FOR GAS RESERVOIR IDENTIFICATION IN THE SERGIPE - ALAGOAS BASIN

2018 ◽  
Vol 36 (2) ◽  
pp. 189
Author(s):  
Alexandre De Jesus Pinho ◽  
Milton José Porsani
Keyword(s):  
Spectral Decomposition ◽  
Reservoir Characterization ◽  
Low Frequency ◽  
Seismic Attributes ◽  
Entropy Method ◽  
Hydrocarbon Exploration ◽  
Maximal Entropy ◽  
Time Frequency ◽  
High Attenuation ◽  
Frequency Decomposition

ABSTRACT. The sedimentary basin of Sergipe-Alagoas, located on the Brazilian east bank, presents one of the most complete stratigraphic sections of the Brazilian continental margin. Hydrocarbon exploration activities began more than 50 years ago. The recent discoveries of hydrocarbons (gas and oil of high API grade) in turbiditic reservoirs of deep waters have further awakened the exploratory interest of the basin. Problems related to the processing and interpretation of seismic data have always received great attention from the scientific community. Currently, the use of time-frequency decomposition methods of the seismic signal is of great interest. Spectral decomposition has been widely used in reservoir characterization, such as determination of layer thickness, stratigraphic visualization with seismic attributes and identification of low frequency anomalies associated with the presence of gas. The mechanism causing these anomalies is not yet well known, but they are often attributed to the high attenuation of gas filled reservoirs. The approach used for spectral decomposition combines the maximal entropy method and the Wigner-Ville distribution, based on the idea of the Burg method that uses the prediction error operator to extend the Wigner-Ville kernel sequences by applying, then, the Fourier transform to each extended sequence of the Kernel, thus allowing to obtain the Wigner-Ville distribution of maximum Entropy.Keywords: Sergipe-Alagoas Basin, Wigner-Ville distribution, Maximum Entropy, spectral decomposition, seismic attributes, low frequency anomaly.RESUMO. A bacia sedimentar de Sergipe-Alagoas, localizada na margem leste brasileira, apresenta uma das mais completas seções estratigráficas da margem continental brasileira. As atividades exploratórias de hidrocarbonetos foram iniciadas há mais de 50 anos. As recentes descobertas de hidrocarbonetos (gás e óleo de elevado grau API) em reservatórios turbidíticos de águas profundas despertaram ainda mais o interesse exploratório da bacia. Os problemas relacionados ao processamento e `a interpretação de dados sísmicos sempre receberam grande atenção da comunidade científica. Atualmente, desperta grande interesse o uso de métodos de decomposição tempo-frequência do sinal sísmico. A decomposição espectral tem sido bastante utilizada na caracterização de reservatório, como estimativa de espessura de camada, visualização estratigráfica com atributos sísmicos e identificação de anomalias de baixa frequência que podem estar associadas `a presença de gás. O mecanismo causador dessas anomalias ainda não é perfeitamente conhecido, mas é frequentemente atribuído a atenuação das altas frequências nos reservatórios preenchidos com gás. A abordagem utilizada para a decomposição espectral combina o método de máxima entropia e a distribuição de Wigner-Ville, com base na ideia do Método de Burg que usa o operador de erro de predição para estender as sequências do kernel de Wigner-Ville aplicando a transformada de Fourier para cada sequência estendida do kernel, permitindo assim, obter a distribuição Wigner-Ville de máxima entropia.Palavras-chave: Bacia Sergipe-Alagoas, distribuição Wigner-Ville, Máxima Entropia, decomposição espectral, atributos sísmicos, anomalia de baixa frequência. Universidade Federal

Information and estimation in image processing

1987 ◽  
Vol 45 ◽  
pp. 14-17
Author(s):  
B. Roy Frieden
Keyword(s):  
Image Processing ◽  
Optical System ◽  
Large Amplitude ◽  
Communication Theory ◽  
Image Data ◽  
Direct Approach ◽  
Ill Posed

Despite the skill and determination of electro-optical system designers, the images acquired using their best designs often suffer from blur and noise. The aim of an “image enhancer” such as myself is to improve these poor images, usually by digital means, such that they better resemble the true, “optical object,” input to the system. This problem is notoriously “ill-posed,” i.e. any direct approach at inversion of the image data suffers strongly from the presence of even a small amount of noise in the data. In fact, the fluctuations engendered in neighboring output values tend to be strongly negative-correlated, so that the output spatially oscillates up and down, with large amplitude, about the true object. What can be done about this situation? As we shall see, various concepts taken from statistical communication theory have proven to be of real use in attacking this problem. We offer below a brief summary of these concepts.

Implementasi Metode Entropy dan Topsis Dalam Sistem Pendukung Keputusan Pemilihan Karyawan Terbaik

2018 ◽  
Vol 10 (1) ◽  
pp. 13-18
Author(s):  
Mitha Anggreani Rupang ◽  
Adhi Kusnadi
Keyword(s):  
Decision Support ◽  
Decision Support System ◽  
Support System ◽  
Smart City ◽  
Entropy Method ◽  
Satisfaction Level ◽  
Topsis Method ◽  
Alphabetical Order ◽  
Index Terms ◽  
Growth Ability

Employee is a part of the company's most important asset in its efforts to maintain survival, growth, ability to compete and profit. At this time the process of assessment of employees in Jakarta Smart City is still in the form of manual and the decision only from one party only, so the process is still not accurate. So it takes the methods that must be able to replace that system. For that reason, a Decision Support System (SPK) was created to determine the best employees in Jakarta Smart City. In the system implemented the method of Entropy and TOPSIS. Entropy method can be trusted in determining the weight of the criteria to be used. And TOPSIS method can quickly perform the ranking process. Criteria to be used are quality and quantity of work, obedience, cooperation, morale, and work discipline. The index of satisfaction level of respondents to the decision support system ranges from 70% -80%, meaning that the assessment of the system created gives results at a fairly good level. Index Terms—employee, nter key words or phrases in alphabetical order, separated by commas

Methods of solving ill-posed inverse problems

1983 ◽  
Vol 45 (5) ◽  
pp. 1237-1245 ◽  
Author(s):  
O. M. Alifanov
Keyword(s):  
Inverse Problems ◽  
Ill Posed
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