Search Results for author: Sayan Chakraborty

Found 3 papers, 2 papers with code

Tracing projective modules over noncommutative orbifolds

no code implementations15 Feb 2021 Sayan Chakraborty

For an action of a finite cyclic group $F$ on an $n$-dimensional noncommutative torus $A_\theta,$ we give sufficient conditions when the fundamental projective modules over $A_\theta$, which determine the range of the canonical trace on $A_\theta,$ extend to projective modules over the crossed product C*-algebra $A_\theta \rtimes F.$ Our results allow us to understand the range of the canonical trace on $A_\theta \rtimes F$, and determine it completely for several examples including the crossed products of 2-dimensional noncommutative tori with finite cyclic groups and the flip action of $\mathbb{Z}_2$ on any $n$-dimensional noncommutative torus.

Operator Algebras K-Theory and Homology

Building an Automated and Self-Aware Anomaly Detection System

1 code implementation10 Nov 2020 Sayan Chakraborty, Smit Shah, Kiumars Soltani, Anna Swigart, Luyao Yang, Kyle Buckingham

Organizations rely heavily on time series metrics to measure and model key aspects of operational and business performance.

Anomaly Detection Time Series +1

Root Cause Detection Among Anomalous Time Series Using Temporal State Alignment

1 code implementation4 Jan 2020 Sayan Chakraborty, Smit Shah, Kiumars Soltani, Anna Swigart

In this paper, we propose a method that isolates the root cause of an anomaly by analyzing the patterns in time series fluctuations.

Anomaly Detection Time Series +1

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