Estimating pollution spread in water networks as a Schrödinger bridge problem with partial information

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Fältnamn	Indikatorer	Metadata
000		03981naa a2200601 4500
001		oai:DiVA.org:ri-65675
003		SwePub
008		230807s2023 \| \|\|\|\|\|\|\|\|\|\|\|000 \|\|eng\|
009		oai:DiVA.org:kth-341531
024	7	a https://urn.kb.se/resolve?urn=urn:nbn:se:ri:diva-656752 URI
024	7	a https://doi.org/10.1016/j.ejcon.2023.1008462 DOI
024	7	a https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3415312 URI
040		a (SwePub)rid (SwePub)kth
041		a engb eng
042		9 SwePub
072	7	a ref2 swepub-contenttype
072	7	a art2 swepub-publicationtype
100	1	a Mascherpa, Micheleu KTH,Numerisk analys, NA4 aut0 (Swepub:kth)u1l2lxxj
245	1 0	a Estimating pollution spread in water networks as a Schrödinger bridge problem with partial information
264	1	b Elsevier Ltd,c 2023
338		a print2 rdacarrier
500		a This work was supported by KTH Digital Futures, the Knut and Alice Wallenberg foundation under grant KAW 2021.0274, and the Swedish Research Council (VR) under grant 2020-03454.
500		a QC 20231222
520		a Incidents where water networks are contaminated with microorganisms or pollutants can result in a large number of infected or ill persons, and it is therefore important to quickly detect, localize and estimate the spread and source of the contamination. In many of today's water networks only limited measurements are available, but with the current internet of things trend the number of sensors is increasing and there is a need for methods that can utilize this information. Motivated by this fact, we address the problem of estimating the spread of pollution in a water network given measurements from a set of sensors. We model the water flow as a Markov chain, representing the system as a set of states where each state represents the amount of water in a specific part of the network, e.g., a pipe or a part of a pipe. Then we seek the most likely flow of the pollution given the expected water flow and the sensors observations. This is a large-scale optimization problem that can be formulated as a Schrödinger bridge problem with partial information, and we address this by exploiting the connection with the entropy regularized multimarginal optimal transport problem. The software EPANET is used to simulate the spread of pollution in the water network and will be used for testing the performance of the methodology. © 2023 The Author(s)
650	7	a TEKNIK OCH TEKNOLOGIERx Samhällsbyggnadsteknikx Vattenteknik0 (SwePub)201072 hsv//swe
650	7	a ENGINEERING AND TECHNOLOGYx Civil Engineeringx Water Engineering0 (SwePub)201072 hsv//eng
653		a Markov processes
653		a Optimization algorithms
653		a Schrödinger bridge
653		a Sensor and signal fusion
653		a Flow of water
653		a Hydraulics
653		a Optimization
653		a Software testing
653		a Water pollution
653		a 'current
653		a Bridge problems
653		a Most likely
653		a Partial information
653		a Schrödinge bridge
653		a Sensor fusion
653		a Signal fusions
653		a Water flows
653		a Water networks
700	1	a Haasler, Isabelu École Polytechnique Fédérale de Lausanne, Switzerland,Ecole Polytech Fed Lausanne, LTS4, Lausanne, Switzerland.4 aut
700	1	a Ahlgren, Bengtu RISE,Industriella system,RISE Res Inst Sweden, Stockholm, Sweden.4 aut0 (Swepub:ri)BengtAh@ri.se
700	1	a Karlsson, Johanu KTH,Matematik (Inst.)4 aut0 (Swepub:kth)u1yx87ls
710	2	a KTHb Numerisk analys, NA4 org
773	0	t European Journal of Controld : Elsevier Ltdx 0947-3580x 1435-5671
856	4	u https://doi.org/10.1016/j.ejcon.2023.100846y Fulltext
856	4 8	u https://urn.kb.se/resolve?urn=urn:nbn:se:ri:diva-65675
856	4 8	u https://doi.org/10.1016/j.ejcon.2023.100846
856	4 8	u https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-341531

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Av författaren/redakt...: Mascherpa, Miche ...; Haasler, Isabel; Ahlgren, Bengt; Karlsson, Johan

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