# Arnak Poghosyan's Publications (Full profile)

### Thesis

- On the Convergence of Quasi-periodic Approximation, Book of Abstracts, International conference dedicated to the 100th anniversary of Mkhitar Djrbashyan, Yerevan, Armenia, October 22-24, pp. 61, (2018)

### Patent

- Methods and Systems to Identify Anomalous Behaving Components of a Distributed Computing System, Filed: Dec 12, 2016. Published: Jun 14, 2018. Application No: 15/375,386, (2018)
- Methods and Systems to Manage Big Data in Cloud-Computing Infrastructures, Granted: Apr 17, 2018. Filed: Apr 30, 2015. Application No: 14/701066, (2018)
- Automated Methods and Systems for Calculating Hard Thresholds, Granted: Jun 12, 2018. Filed: Jun 25, 2014, (2018)
- Data-agnostic Adjustment of Hard Thresholds Based on User Feedback, Filed: Apr 4, 2017. Published: Sep 7, 2017. Application No: 15/479,182, (2017)
- Methods and Systems to Manage Capacity Planning in Data Center, Filed: Jun 16, 2016. Published: Dec 21, 2017. Application No: 15/184,742, (2017)
- Methods and Systems to Evaluate Importance of Performance Metrics in a Data Center, Filed: Jun 16, 2016. Published: Dec 21, 2017. Application No: 15/184,862 , (2017)
- Methods and Systems to Identify Problems in a Data Center, Filed: Jun 6, 2016. Published: Dec 7, 2017. Application No: 15/174,017, (2017)
- Methods and Systems to Diagnose Anomalies in Cloud Infrastructures, Filed: Jun 3, 2016. Published: Dec 7, 2017. Application No: 15/172,616, (2017)
- Methods and Systems to Evaluate Data Center Performance and Prioritize Data Center Objects and Anomalies for Remedial Actions, Filed: Jun 23, 2016. Published: Dec 28, 2017. Application No: 15/190,678, (2017)
- Multi-stage Data Compression for Time-Series Metric Data Within Computer Systems, Granted: Aug 22, 2017. Filed: Jun 21, 2016, (2017)
- Data-agnostic Adjustment of Hard Thresholds Based on User Feedback, Granted: Apr 25, 2017. Filed Jun 24, 2014, (2017)
- Methods for the Cyclical Pattern Determination of Time-Series Data using a Clustering Approach, Granted: Jan 17, 2017. Filed Aug 5, 2008, (2017)
- Methods and Systems that Estimate a Degree of Abnormality of a Complex System , Filed: Apr 30, 2015. Published: Nov 3, 2016. Application No: 14/701,217, (2016)
- Data-agnostic Methods and Systems for Ranking and Updating Beliefs, Granted: Oct 11, 2016. Filed: Dec 12, 2013, (2016)
- Methods for the Cyclical Pattern Determination of Time-Series Data using a Clustering Approach, Granted: Jan 26, 2016. Filed Aug 5, 2008, (2016)
- Methods and Systems for Abnormality Analysis of Streamed Log Data, Granted: Mar 29, 2016. Filed: Aug 6, 2013, (2016)
- Data-Agnostic Anomaly Detection, Filed: Mar 29, 2013. Published: Oct 2, 2014. Application No: 13/853,321, (2014)
- Method and Apparatus for Root Cause and Critical Pattern Prediction using Virtual Directed Graphs, Granted: Jun 10, 2014. Filed Oct 12, 2011, (2014)
- Automated Analysis of Unstructured Data, Filed: Mar 12, 2012. Published: Apr 18, 2013. Appl No: 13/417.933, (2013)

### Paper

- On an Interpolation by the Modied Trigonometric System, Journal of Contemporary Mathematical Analysis (Original Russian text is published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2018, No. 3, pp. 72–83), 53, (3), pp. 121-129, (2018)
- Optimal Rational Approximations by the Modified Fourier Basis, Abstract and Applied Analysis, 2018, pp. 1-21, (2018)
- On a Pointwise Convergence of Quasi-Periodic-Rational Trigonometric Interpolation, International Journal of Analysis, 2014, pp. 1-10, (2014)
- On a Pointwise Convergence of the Quasi-Periodic Trigonometric Interpolation, Izvestiya NAN Armenii, Matematika, 49, (3), pp. 68-80, (2014)
- Statistical Normalcy Determination based on Data Categorization, VMware Technical Journal, 3, (1), pp. 43-55, (2014)
- On a Fast Convergence of the Rational-Trigonometric-Polynomial Interpolation, Advances in Numerical Analysis, 2013, pp. 1-13, (2013)
- On a Convergence Acceleration of Trigonometric Interpolation, Reports of NAS RA, 113, (2), pp. 133-141, (2013)
- An Anomaly Event Correlation Engine: Identifying Root Causes, Bottlenecks, and Black Swans in IT Environments, VMware Technical Journal, 2, (1), pp. 35-45, (2013)
- Asymptotic Estimates for the Quasi-Periodic Interpolations, Armenian Journal of Mathematics, 5, (1), pp. 34-57, (2013)
- On a Convergence of the Fourier-Pade Interpolation, Armenian Journal of Mathematics, 5, (1), pp. 1-25, (2013)
- On a Convergence of the Rational-Trigonometric-Polynomial Approximations Realized by the Roots of the Laguerre Polynomials (Original Russian text is published in Izvestiya NAN Armenii. Matematika, 2013, No. 6, pp. 82–91.), Journal of Contemporary Mathematical Analysis, 48, (6), pp. 339-347, (2013)
- On a Pointwise Convergence of Trigonometric Interpolations with Shifted Nodes, Armenian Journal of Mathematics, 5, (2), pp. 105-122, (2013)
- On an Auto-correction Phenomenon of the Eckhoff's Interpolation, Australian Journal of Mathematical Analysis and Applications, 9, (1), pp. 1-31, (2012)
- On a Convergence of the L2-optimal Rational Approximation, Reports of NAS RA, 112, (4), pp. 341-349, (2012)
- Asymptotic Behavior of the Eckhoff Approximation in Bivariate Case, Analysis in Theory and Applications, 28, (4), pp. 329-362, (2012)
- On a Convergence of the Fourier-Pade Approximation, Armenian Journal of Mathematics, 4, (2), pp. 49-79, (2012)
- On Some Optimizations in Trigonometric Interpolation using Fourier Discrete Coefficients, Armenian Journal of Mathematics, 4, (2), pp. 80-97, (2012)
- Fourier Formulae for Equidistant Hermite Trigonometric Interpolation, Asian-European Journal of Mathematics, 4, (1), pp. 127-144, (2011)
- On an Auto-correction Phenomenon of the Krylov-Gottlieb-Eckhoff Method, IMA Journal of Numerical Analysis, 31, (2), pp. 512-527, (2011)
- Fourier Formulae for Equidistant Hermite Trigonometric Interpolation, Reports of NAS RA, 110, (1), pp. 13-21, (2010)
- Asymptotic Behavior of the Eckhoff's Method for Convergence Acceleration of Trigonometric Interpolation, Analysis in Theory and Applications,, 26, (3), pp. 236-260, (2010)
- Asymptotic Behavior of Hermite-Eckhoff Interpolation, Reports of NAS RA, 110, (4), pp. 325-333, (2010)
- Asymptotic Behavior of the Krylov-Lanczos Interpolation, Analysis and Applications, 7, (2), pp. 199-211, (2009)
- Convergence Acceleration of Two-Dimensional Fourier Interpolation, Armenian Journal of Mathematics, 1, (1), pp. 50-63, (2008)
- On a Convergence of a Quasipolynomial Approximation, Reports of NAS RA, 107, (1), pp. 13-19, (2007)
- Asymptotic Behavior of Eckhoff's Method for Fourier Series Convergence Acceleration, Analysis in Theory and Applications, 23, (3), pp. 228-242, (2007)
- On a Rational-Trigonometric Linear Interpolation of Smooth Functions, Reports of NAS RA, 106, (1), pp. 13-19, (2006)
- Accelerating the Convergence of Trigonometric Series, Central European Journal of Mathematics, 4, (3), pp. 435-448, (2006)
- Convergence Acceleration for Fourier Series (Original Russian text is published in Izvestiya NAN Armenii, Matematika 41 (2) (2006), 43-56), Journal of Contemporary Mathematical Analysis , 41, (2), pp. 39-51, (2006)
- On a Rational Linear Approximation of Fourier Series for Smooth Functions, Journal of Scientific Computing, 26, (1), pp. 111-125, (2006)
- Asymptotic Estimates for a Nonlinear Acceleration Method of Fourier Series, Reports of NAS RA, 105, (4), pp. 309-316, (2005)
- On a Linear Rational Approximation on a Finite Interval, Reports of NAS RA, 104, (3), pp. 177-184, (2004)
- L2-convergence of Some Polynomial-Periodic Interpolation, Reports of NAS RA, 104, (2), pp. 83-89, (2004)
- On the Convergence of an Approximate Symbolic Solution of Differential Equations, Reports of NAS RA, 101, (1), pp. 24-30, (2001)
- L2-Estimates for Convergence Rate of Polynomial-Periodic Approximations by Translates (Original Russian text is published in Izvestiya NAN Armenii, Matematika 36 (3) (2001), 59-77), Journal of Contemporary Mathematical Analysis , 36, (3), pp. 59-77, (2001)
- Numerical Solution of Convolution Type Equations, Reports of NAS RA, 98, (2), pp. 96-101, (1998)

### Conference Paper

- Learning Baseline Models of Log Sources, To appear in Proc. Workshop on Collaborative Technologies and Data Science in Smart City Applications (CODASSCA 2018), Yerevan, Armenia, September 12-15, (2018)
- Identifying Changed or Sick Resources from Logs, To appear in Proc. 15th IEEE International Conference on Autonomic Computing (ICAC 2018), Trento, Italy, September 3-7, (2018)
- Compression for Time Series Databases using Independent and Principal Component Analysis, Proc. 14th IEEE International Conference on Autonomic Computing (ICAC 2017), Columbus, OH, USA, July 17-21, pp. 279 - 284, (2017)
- Experiences in Building an Enterprise Data Analytics, Proc. Int. Workshop on Information Theory and Data Science "From Information Age to Big Data Era", Yerevan, Armenia, October 3-5, pp. 89-94, (2016)
- Managing Cloud Infrastructures by a Multi-Layer Data Analytics, Proc. 2016 IEEE International Conference on Autonomic Computing (ICAC 2016), Wuerzburg, Germany, July 18-22, pp. 351 - 356, (2016)
- Ranking and Updating Beliefs based on User Feedback: Industrial Use Cases, Proc. 12th IEEE International Conference on Autonomic Computing (ICAC 2015), Grenoble, France, July 7-10 , pp. 227-230, (2015)
- An Enterprise Dynamic Thresholding System, Proc. USENIX 11th International Conference on Autonomic Computing (ICAC 2014), Philadelphia, PA, US, June 18-20, pp. 129-135, (2014)
- Abnormality Analysis of Streamed Log Data, Proc. 2014 IEEE Network Operations and Management Symposium (NOMS 2014), Krakow, Poland, May 5-9, pp. 1-7, (2014)
- Pattern Detection in Unstructured Data: An Experience for a Virtualized IT Infrastructure, Proc. 2013 IFIP/IEEE International Symposium on Integrated Network Management (IM 2013), Ghent, Belgium, May 27-31, pp. 1048 - 1053, (2013)
- Convergence Acceleration of Fourier Series by the Roots of the Laguerre Polynomial, Proc. Third Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics, Tsaghkadzor, Armenia, October 4-8, pp. 137-141, (2010)
- Accelerating the Convergence of Trigonometric Interpolation, Proc. Third Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics, Tsaghkadzor, Armenia, October 4-8, pp. 132-136, (2010)
- Proactive Fault Management of IT Infrastructure, Proc. Armenia-Germany Workshop on Applications of Information Theory, Coding and Security, Yerevan, Armenia, April 14-16, pp. 13-16, (2010)
- Linear and Convex Programming Problems in Smart Grid Management, Proc. 4th Workshop on Power Line Communications and its Applications in Networking and Smart Grid, Boppard, Germany, September 22-24, pp. 45-46, (2010)
- On a Parallel Algorithm for Integral Equations, Proc. Computer Science and Information Technologies (CSIT-2005), Yerevan, Armenia, September 19-23, pp. 457-460, (2005)
- Asymptotic Error of Polynomial-periodic Interpolation, Proc. International Conference Complex Analysis, Differential Equations and Related Topics (ISAAC 2002), Yerevan, Armenia, September 17-21, pp. 88-98, (2004)
- On a Convergence of a Rational Trigonometric Approximation, Proc. International Conference Complex Analysis, Differential Equations and Related Topics (ISAAC 2002), Yerevan, Armenia, September 17-21, pp. 79-87, (2004)
- Asymptotic Errors of Accelerated Two-dimensional Trigonometric Approximations, Proc. International Conference Complex Analysis, Differential Equations and Related Topics (ISAAC 2002), Yerevan, Armenia, September 17-21, pp. 70-78, (2004)

### Book

- Linear Algebra and Applications, Yerevan State University, (in Armenian), (2005)
- Set of Problems of Mathematical Physics, Yerevan State University, (in Armenian), (2001)

### Preprint

- Fast Convergence of a Polynomial-Trigonometric Interpolation, ARMNIINTI, 45, pp. 1-12, (2000)
- Bernoulli Method in Multidimensional Case, ARMNIINTI, 20, pp. 1-40, (2000)
- Numerical Analysis of Some Parametric Decompositions, ARMNIINTI, 62, (1998)
- On a Convergence of Some Parametric Decompositions, ARMNIINTI, 19, (1998)