# Arnak Poghosyan's Publications (Full profile)

### Paper

- An Enterprise Time Series Forecasting System for Cloud Applications Using Transfer Learning, Sensors, 21, (5:1590), pp. 1-28, (2021)
- On Some Quasi-Periodic Approximations, Armenian Journal of Mathematics, 12, (10), pp. 1-27, (2020)
- On Machine Learning Approaches for Automated Log Management, Journal of Universal Computer Science, 25, (8), pp. 925-945, (2019)
- On an Interpolation by the Modified 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. 153-161, (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)

### Patent

- Filed: Dec 12, 2016. Application No: 15/375,386. Published: Jun 14, 2018. Publication No: US 2018/0165142 A1. Granted: Feb 25, 2020. Patent No: US 10,572,329 B2, (2020)
- Filed: July 18, 2017. Application No: US15/652,705. Published: Jan 24, 2019. Publication No: US 2019/0026206 A1. Granted: Mar 17, 2020. Patent No: 10,592,372 B2, (2020)
- Filed: Jun 20, 2017. Application No: US 15/627,925. Published: Dec 20, 2018. Publication No: US 2018/0365301 A1. Granted: Jul 14, 2020. Patent No: 10,713,265, (2020)
- Filed: Nov 7, 2017. Application No: 15/806,187. Published: May 9, 2019. Publication No: US 2019/0138420 A1. Granted: Feb 11, 2020. Patent No: US 10558543 B2 , (2020)
- Methods and Systems to Determine Baseline Event-type Distributions of Event Sources and Detect Changes in Behavior of Event Sources, Filed: Nov 30, 2017. Application No: 15/828,227. Published: May 30, 2019. Publication No: US 2019/0163598 A1. Granted: Dec 17, 2019. Patent No: US 10509712 B2, (2019)
- Methods and Systems to Diagnose Anomalies in Cloud Infrastructures, Filed: Jun 3, 2016. Application No: 15/172,616. Published: Dec 7, 2017. Publication No: US 2017/0353345 A1. Granted: Nov 26, 2019. Patent No: US 10,491,454, (2019)
- Methods and Systems to Prioritize Alerts with Quantification of Alert Impacts, Filed: May 24, 2017. Application No: 15/604,460. Published: Nov 29, 2018. Publication No: US 2018/0341566 A1. Granted: Nov 19, 2019. Patent No: US 10481966, (2019)
- Data-Agnostic Adjustment of Hard Thresholds based on User Feedback, Filed: Apr 4, 2017. Application No: 15/479,182. Published: Sep 7, 2017. Publication No: US 2017/0255537 A1. Granted: Nov 5, 2019. Patent No: US 10,467,119 B2, (2019)
- Methods and Systems to Reduce Time Series Data and Detect Outliers, Filed: June 20, 2017. Application No: 15/627,987. Published: Dec 20, 2018. Publication No: US 2018/0365298 A1. Granted: Oct 22, 2019. Patent No: US 10,452,665 B2, (2019)
- Methods and Systems to Detect and Classify Changes in a Distributed Computing Systems, Filed: May 30, 2017. Application No: 15/607,944. Published: Dec 6, 2018. Publication No: US 2018/0349221 A1. Granted: Sep 3, 2019. Patent No: US 10,402,253 B2, (2019)
- Data-Agnostic Anomaly Detection, Filed: Mar 29, 2013. Application No: 13/853,321. Published: Oct 2, 2014. Publication No: US 2014/0298098 A1. Granted: Mar 26, 2019. Patent No: US 10,241,887 B2, (2019)
- Datacenter Resource Allocation based on Estimated Capacity Metric, Filed: Jun 16, 2016. Application No: 15/184,742. Published: Dec 21, 2017. Publication No: US 2017/0364391 A1. Granted: Apr 30, 2019. Patent No: US 10,275,284 B2, (2019)
- Methods and Systems to Enhance Identifying Service-Level-Objective Degradation in a Data Center, Filed: Jun 6, 2016. Application No: 15/174,017. Published: Dec 7, 2017. Publication No: US 2017/0353362. Granted: Jan 15, 2019. Patent No: US 10,181,983 B2, (2019)
- Methods and Systems to Evaluate Data Center Performance and Prioritize Data Center Objects and Anomalies for Remedial Actions, Filed: Jun 23, 2016. Application No: 15/190,678. Published: Dec 28, 2017. Publication No: US 2017/0371878 A1. Granted: Aug 27, 2019. Patent No: US 10,394,612 B2, (2019)
- Methods and Systems to Manage Big Data in Cloud-Computing Infrastructures, Filed: Apr 30, 2015. Application No: 14/701066. Published: Nov 3, 2016. Publication No: US 2016/0323157 A1. Granted: Apr 17, 2018. Patent No: US 9,948,528 B2, (2018)
- Automated Methods and Systems for Calculating Hard Thresholds, Filed: Jun 25, 2014. Application No: 14/314,490. Published: Dec 31, 2015. Publication No: US 2015/0379110 A1. Granted: Jun 12, 2018. Patent No: US 9,996,444 B2, (2018)
- Multi-stage Data Compression for Time-Series Metric Data Within Computer Systems, Filed: Jun 21, 2016. Application No: 15/188,834. Granted: Aug 22, 2017. Patent No: US 9,742,435 B1, (2017)
- Data-agnostic Adjustment of Hard Thresholds Based on User Feedback, Filed Jun 24, 2014. Application No: 14/312,815. Published: Dec 24, 2015. Publication No: US 2015/0370682 A1. Granted: Apr 25, 2017. Patent No: US 9,632,905 B2, (2017)
- Methods for the Cyclical Pattern Determination of Time-Series Data Using a Clustering Approach, Filed Aug 5, 2008. Application No: 12/186,494. Published: Feb 11, 2010. Publication No: US 2010/0036643 A1. Granted: Jan 17, 2017. Patent No: US 9,547,710 B2, (2017)
- Data-agnostic Methods and Systems for Ranking and Updating Beliefs, Filed: Dec 12, 2013. Application No: 14/104,351. Granted: Oct 11, 2016. Patent No: US 9,466,031 B1, (2016)
- Methods for the Cyclical Pattern Determination of Time-Series Data using a Clustering Approach, Filed: Aug 5, 2008. Application No: 12/186,496. Published: Feb 11, 2010. Publication No: US 2010/0036857 A1. Granted: Jan 26, 2016. Patent No: US 9,245,000 B2, (2016)
- Methods and Systems for Abnormality Analysis of Streamed Log Data, Filed Aug 6, 2013. Application No: 13/960,611. Published: Feb 20, 2014. Publication No: US 2014/0053025 A1. Granted: Mar 29, 2016. Patent No: US 9,298,538 B2, (2016)
- Method and Apparatus for Root Cause and Critical Pattern Prediction using Virtual Directed Graphs, Filed Oct 12, 2011. Application No: 13/271,554. Published: Apr 18, 2013. Publication No: US 2013/0097463 A1. Granted: Jun 10, 2014. Patent No: US 8,751,867 B2, (2014)

### Conference Paper

- Learning Data Center Incidents for Automated Root Cause Analysis , Proceedings from the 2nd Codassca Workshop Yerevan, Armenia 2020, pp. 181-190, (2020)
- Intelligent Troubleshooting in Data Centers with Mining Evidence of Performance Problems, Proceedings from the 2nd Codassca Workshop Yerevan, Armenia 2020, pp. 169-180, (2020)
- Fingerprinting Data Center Problems with Association Rules , Proceedings from the 2nd Codassca Workshop Yerevan, Armenia 2020, pp. 159-168, (2020)
- W-TSF: Time Series Forecasting with Deep Learning for Cloud Applications, Proceedings from the 2nd Codassca Workshop Yerevan, Armenia 2020, pp. 152-158, (2020)
- Estimating Efficient Sampling Rates of Metrics for Training Accurate Machine Learning Models, Proceedings from the 2nd Codassca Workshop Yerevan, Armenia 2020, pp. 143-151, (2020)
- Time Series Quantization and Compression subject to Distortion Measures, Proceedings of 11th Asia‐Europe Workshop on Concepts in Information Theory, July 3 – 5, Rotterdam, the Netherlands, pp. 11-22, (2019)
- Learning Baseline Models of Log Sources, Proc. Workshop on Collaborative Technologies and Data Science in Smart City Applications (CODASSCA 2018), Yerevan, Armenia, September 12-15, pp. 145-156, (2018)
- Identifying Changed or Sick Resources from Logs, Proc. 15th IEEE International Conference on Autonomic Computing (ICAC 2018), Trento, Italy, September 3-7, pp. 86-91, (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)

### 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)

### Book

- Linear Algebra and Applications, Yerevan State University, (in Armenian), pp. 475, (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)