| dc.contributor.author | Crutchfield, James P. | |
| dc.contributor.author | Marzen, Sarah E. | |
| dc.date.accessioned | 2017-06-16T17:49:36Z | |
| dc.date.available | 2018-02-04T06:00:05Z | |
| dc.date.issued | 2017-04 | |
| dc.identifier.issn | 0022-4715 | |
| dc.identifier.issn | 1572-9613 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/109960 | |
| dc.description.abstract | We introduce the minimal maximally predictive models (ϵ-machines) of processes generated by certain hidden semi-Markov models. Their causal states are either discrete, mixed, or continuous random variables and causal-state transitions are described by partial differential equations. As an application, we present a complete analysis of the ϵ-machines of continuous-time renewal processes. This leads to closed-form expressions for their entropy rate, statistical complexity, excess entropy, and differential information anatomy rates. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.). Graduate Research Fellowship Program | en_US |
| dc.description.sponsorship | University of California, Berkeley (Chancellor’s Fellowship) | en_US |
| dc.description.sponsorship | Massachusetts Institute of Technology (Physics of Living Systems Fellowship) | en_US |
| dc.publisher | Springer US | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1007/s10955-017-1793-z | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | Springer US | en_US |
| dc.title | Informational and Causal Architecture of Continuous-time Renewal Processes | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Marzen, Sarah, and James P. Crutchfield. “Informational and Causal Architecture of Continuous-Time Renewal Processes.” Journal of Statistical Physics 168.1 (2017): 109–127. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Physics | en_US |
| dc.contributor.mitauthor | Marzen, Sarah E. | |
| dc.relation.journal | Journal of Statistical Physics | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2017-06-07T03:49:56Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Springer Science+Business Media New York | |
| dspace.orderedauthors | Marzen, Sarah; Crutchfield, James P. | en_US |
| dspace.embargo.terms | N | en |
| mit.license | PUBLISHER_POLICY | en_US |
