Inference from gated first-passage times
First-passage times provide invaluable insight into fundamental properties of stochastic processes. Yet, various forms of gating mask first-passage times and differentiate them from actual detection times. For instance, imperfect conditions may intermittently gate our ability to observe a system of...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-09-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.L032043 |
| _version_ | 1797210391171825664 |
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| author | Aanjaneya Kumar Yuval Scher Shlomi Reuveni M. S. Santhanam |
| author_facet | Aanjaneya Kumar Yuval Scher Shlomi Reuveni M. S. Santhanam |
| author_sort | Aanjaneya Kumar |
| collection | DOAJ |
| description | First-passage times provide invaluable insight into fundamental properties of stochastic processes. Yet, various forms of gating mask first-passage times and differentiate them from actual detection times. For instance, imperfect conditions may intermittently gate our ability to observe a system of interest, such that exact first-passage instances might be missed. In other cases, e.g., certain chemical reactions, direct observation of the molecules involved is virtually impossible, but the reaction event itself can be detected. However, this instance need not coincide with the first collision time since some molecular encounters are infertile and hence, gated. Motivated by the challenge posed by such real-life situations we develop a universal—model free—framework for the inference of first-passage times from the detection times of gated first-passage processes. In addition, when the underlying laws of motions are known, our framework also provides a way to infer physically meaningful parameters, e.g., diffusion coefficients. Finally, we show how to infer the gating rates themselves via the hitherto overlooked short-time regime of the measured detection times. The robustness of our approach and its insensitivity to underlying details are illustrated in several settings of physical relevance. |
| first_indexed | 2024-04-24T10:09:51Z |
| format | Article |
| id | doaj.art-a3dd5f1ff94540ca987df030c5804e2b |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:09:51Z |
| publishDate | 2023-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-a3dd5f1ff94540ca987df030c5804e2b2024-04-12T17:34:20ZengAmerican Physical SocietyPhysical Review Research2643-15642023-09-0153L03204310.1103/PhysRevResearch.5.L032043Inference from gated first-passage timesAanjaneya KumarYuval ScherShlomi ReuveniM. S. SanthanamFirst-passage times provide invaluable insight into fundamental properties of stochastic processes. Yet, various forms of gating mask first-passage times and differentiate them from actual detection times. For instance, imperfect conditions may intermittently gate our ability to observe a system of interest, such that exact first-passage instances might be missed. In other cases, e.g., certain chemical reactions, direct observation of the molecules involved is virtually impossible, but the reaction event itself can be detected. However, this instance need not coincide with the first collision time since some molecular encounters are infertile and hence, gated. Motivated by the challenge posed by such real-life situations we develop a universal—model free—framework for the inference of first-passage times from the detection times of gated first-passage processes. In addition, when the underlying laws of motions are known, our framework also provides a way to infer physically meaningful parameters, e.g., diffusion coefficients. Finally, we show how to infer the gating rates themselves via the hitherto overlooked short-time regime of the measured detection times. The robustness of our approach and its insensitivity to underlying details are illustrated in several settings of physical relevance.http://doi.org/10.1103/PhysRevResearch.5.L032043 |
| spellingShingle | Aanjaneya Kumar Yuval Scher Shlomi Reuveni M. S. Santhanam Inference from gated first-passage times Physical Review Research |
| title | Inference from gated first-passage times |
| title_full | Inference from gated first-passage times |
| title_fullStr | Inference from gated first-passage times |
| title_full_unstemmed | Inference from gated first-passage times |
| title_short | Inference from gated first-passage times |
| title_sort | inference from gated first passage times |
| url | http://doi.org/10.1103/PhysRevResearch.5.L032043 |
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