Abstract
In the problem of quickest change detection (QCD), a change occurs at some unknown time in the distribution of a sequence of independent observations. This work studies a QCD problem where the change is either a bad change, which we aim to detect, or a confusing change, which is not of our interest. Our objective is to detect a bad change as quickly as possible while avoiding raising a false alarm for pre-change or a confusing change. We identify a specific set of pre-change, bad change, and confusing change distributions that pose challenges beyond the capabilities of standard Cumulative Sum (CuSum) procedures. Proposing novel CuSum-based detection procedures, S-CuSum and J-CuSum, leveraging two CuSum statistics, we offer solutions applicable across all kinds of pre-change, bad change, and confusing change distributions. For both S-CuSum and J-CuSum, we provide analytical performance guarantees and validate them by numerical results. Furthermore, both procedures are computationally efficient as they only require simple recursive updates. © 2024 IEEE.
| Original language | English |
|---|---|
| Title of host publication | Conference Record of The Fifty-Eighth Asilomar Conference on Signals, Systems & Computers |
| Editors | Michael B. Matthews |
| Publisher | IEEE |
| Pages | 1768-1773 |
| Number of pages | 6 |
| ISBN (Electronic) | 9798350354058 |
| ISBN (Print) | 9798350354065 |
| DOIs | |
| Publication status | Published - Oct 2024 |
| Externally published | Yes |
| Event | 58th Asilomar Conference on Signals, Systems and Computers (ACSSC 2024) - Virtual, Pacific Grove, United States Duration: 27 Oct 2024 → 30 Oct 2024 |
Publication series
| Name | Conference Record - Asilomar Conference on Signals, Systems and Computers |
|---|---|
| ISSN (Print) | 1058-6393 |
| ISSN (Electronic) | 2576-2303 |
Conference
| Conference | 58th Asilomar Conference on Signals, Systems and Computers (ACSSC 2024) |
|---|---|
| Place | United States |
| City | Pacific Grove |
| Period | 27/10/24 → 30/10/24 |
Funding
The authors would like to thank Lance Kaplan for invaluable insights and engaging discussions throughout the development of this paper. This research is supported by the Army Research Laboratory under Cooperative Agreement W911NF-17-2-0196 (IoBT CRA).
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