Joseb Kachiashvili

Academic Doctor of Science

Muskhelishvili Institute of Computational Mathematics

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I graduated from the Faculty of Informatics and Control Systems of the Georgian Technical University: Bachelor - in 2018, I was awarded a bachelor's degree in Informatics and Control Systems; Master's Degree - In 2020, I was awarded a Master's degree in Informatics and Control Systems. Since February 1, 2018 I have been working as a Web programmer at the Georgian Technical University, since 2021 I have been working as a researcher at the Muskhelishvili Institute of Computational Mathematics of the Georgian Technical University. I have published three articles in high-ranking international journals, participated in the work of four international conferences (three were held abroad). I know English and Russian well. My citation indexes are: Google Scholar - 5 (h-index 2), Scopus - 2 (h-index 2), I have no information about Web of Science.

CBM for Testing Multiple Hypotheses with Directional Alternatives in Sequential Experiments.Kachiashvili K.J., Kachiashvili J.K. and Prangishvili I.A. articleSequential Analysis, 39:1, 2020, 115-131IF: 0.567 არა მაქვს 10.1080/07474946.2020.1727166 EnglishContract
Indexes for Classification of Populations According to the Intensity of Cancer DiseasesKachiashvili K.J. and Kachiashvili J.K.articleAdvances in Cancer Research & Clinical Imaging, 2(4), 2020, 1-6.არა აქვს არა მაქვს 10.33552/ACRCI.2020.02.000543EnglishContract
Constrained Bayesian Methods for Testing Directional Hypotheses Restricted False Discovery Rates.. Kachiashvili K.J., Prangishvili I.A. and Kachiashvili J.K. articleBiostat Biometrics Open Acc J 9(3): BBOAJ.MS.ID.555761. (2019), 1-10IF 0.883 ISSN: 2573-2633 10.19080/BBOAJ.2019.09.555761.EnglishContract

International Scientific-Technical Conference "Environmental Protection and Sustainable Development" Dedicated to the 80th Anniversary of Professor Victor EristaviTbilisi, Georgia2019November 11-12Georgian Technical UniversityThe effect of heavy metals in the soil on the prevalence of tumors in the populationoral

The effect of heavy metals in the soil on the prevalence of tumors in the population is investigated on the basis of experimental data. The conclusions about the majority of heavy metals which basically determine the arising tumors in population is made.

არა მაქვს
The 7th International Workshop in Sequential MethodologiesNew York, USA2019June 18-21Department of Mathematical Sciences at Binghamton University, State University of New York (SUNY)Application of CBM for Directional Hypotheses Testing in Sequential Experiments with Restriction of False Discovery Ratesoral

Constrained Bayesian method (CBM) and the concept of false discovery rates (FDR) for testing directional hypotheses is considered in the paper. There is shown that the direct application of CBM allows us to control FDR on the desired level for both one set of directional hypotheses and multiple case when we consider () sets of directional hypotheses. When guaranteeing restriction level on the desired level, the sequential method of Bayesian type must be applied, the stopping rules of which is proper and the sequential scheme of making decision strongly controls mixed directional false discovery rate. Computation results of concrete examples confirm the correctness of theoretical outcomes.

http://sites.google.com/view/iwsm2019/program
Investigation of Constrained Bayesian Methods for Testing Directional Hypotheses in Relation to the Concepts of False Discovery Rates.Hanoi, Vietnam2019April 2-7 Vietnam Institute for Advanced Study in Mathematics of the Vietnamese Ministry of Education and Training) Investigation of Constrained Bayesian Methods for Testing Directional Hypotheses in Relation to the Concepts of False Discovery Ratesoral

Constrained Bayesian method (CBM) and the concept of false discovery rates (FDR) for testing directional hypotheses is considered in the paper. There is shown that the direct application of CBM allows us to control FDR on the desired level. Theoretically is proved that mixed directional false discovery rates (mdFDR) are restricted on the desired levels at the suitable choice of restriction levels at different statements of CBM. These facts are demonstrated by computation of concrete examples for different statements of CBM.

http://caps2019.viasm.edu.vn/
International conference “Strategic Management, Decision Theory & Data Science”Kolkata, India20204-6 JanuaryIndian Association for Productivity, Quality & Reliability (IAPQR, www.iapqr.org) in collaboration with CSIR-CGCRIQuasi-optimal rule of testing directional hypothesesoral

The problem of testing directional hypotheses is examined considering the basic and alternative hypotheses in pairs. For optimality of the decision rule, the concept of mixed directional false discovery rate (mdFDR) is used. The developed method is applied for testing multiple hypotheses. The fact of guaranty of the quality of made decision on the desired level for the developed approach theoretically is proved and practically is demonstrated by computation of a concrete examples. There is also shown that the offered method is a private case of union-intersection and intersection-union hypotheses testing problems.

www.iapqr.org

Web of Science: არ ვიცი
Scopus: 2
Google Scholar: 5

Italy-10/03/2020 - 28/04/2020Politecnico di Bari, Faculty of Computer Engineering Erasmus

Doctoral Thesis Referee

Master Theses Supervisor

Doctoral Thesis Supervisor/Co-supervisor

Scientific editor of monographs in foreign languages

Scientific editor of a monograph in Georgian

Editor-in-Chief of a peer-reviewed or professional journal / proceedings

Review of a scientific professional journal / proceedings

Member of the editorial board of a peer-reviewed scientific or professional journal / proceedings

Participation in a project / grant funded by an international organization


Algorithmic Description of Russian word morphologyThe Royal Swedish Academy of Sciences Georgia28/04/2022 - 28/04/2022Executor

Participation in a project / grant funded from the state budget


ქართული ტექსტის ავტომატური სინტაქსური ანალიზის შექმნა სსიპ არჩილ ელიაშვილის მართვის სისტემების ინსტიტუტი28/04/2022 - 28/04/2022ძირითადი შემსრულებელი

Patent authorship

Membership of the Georgian National Academy of Science or Georgian Academy of Agricultural Sciences

Membership of an international professional organization

Membership of the Conference Organizing / Program Committee

National Award / Sectoral Award, Order, Medal, etc.

Honorary title

Monograph

Handbook

Research articles in high impact factor and local Scientific Journals


Kachiashvili K.J., Kachiashvili J.K. and Prangishvili I.A. (2020) CBM for Testing Multiple Hypotheses with Directional Alternatives in Sequential Experiments. Sequential Analysis, 39(1): 115-131State Target Program

Constrained Bayesian methods (CBMs) and the concept of false discovery rates (FDRs) for testing directional hypotheses are considered in this article. It is shown that the direct application of CBM allows us to control FDR on the desired level for both one set of directional hypotheses and a multiple case when we consider m (m > 1) sets of directional hypotheses. When guaranteeing restriction on the desired level, a Bayesian sequential method can be applied, the stopping rules of which are proper and the sequential scheme for making a decision strongly controls the mixed directional FDR. Computational results of concrete examples confirm the correctness of the theoretical outcomes.

https://institutes.gtu.ge/uploads/20/(2020)CBM for testing multiple hypotheses with directional alternatives in sequential experiments.pdf
Kachiashvili K.J., Prangishvili I.A. and Kachiashvili J.K. (2019) Constrained Bayesian Methods for Testing Directional Hypotheses Restricted False Discovery Rates. Biostat Biometrics Open Acc J 9(3): 1-10State Target Program

Constrained Bayesian method (CBM) and the concept of false discovery rates (FDR) for testing directional hypotheses is considered in the paper. Here is shown that the direct application of CBM allows us to control FDR on the desired level. Theoretically it is proved that mixed directional false discovery rates (mdFDR) are restricted on the desired levels at the suitable choice of restriction levels at different statements of CBM. The correctness of the obtained theoretical results is confirmed by computation results of concrete examples.

https://institutes.gtu.ge/uploads/20/(2019)Constrained Bayesian Methods for Testing.pdf
Kachiashvili K.J. and Kachiashvili J.K. (2020) Indexes for Classification of Populations According to the Intensity of Cancer Diseases. Advances in Cancer Research & Clinical Imagine, 2(4): 1-6.State Target Program

By statistical processing of Georgian Cancer Registry data of 2015-2016, clustering (grouping) of Georgian populations was realized, according to the intensity of the cancer disease prevalence, for the purpose of priority distribution of existed resources and means in the country and for the reduction of the number of patients and improvement of the quality of treatment. Cluster analysis methods of mathematical statistics were used for the study, which was directly implemented using universal statistical software package SPSS. The concept of disease index was introduced for achieving the intruded purpose. Its several variants were determined. The study results using indexes showed that it is possible to group objectively populated areas and regions of the country by intensity of dissemination of cancer disease.

https://irispublishers.com/acrci/pdf/ACRCI.MS.ID.000543.pdf

Publication in Scientific Conference Proceedings Indexed in Web of Science and Scopus