[CD-PMS-02] Gaussian Curvature of Two-Parameter Exponential Families on Finite State Spaces with Application to Constrained Markov Systems
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2026
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| _version_ | 1866901460647673856 |
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| author | Tanaka, Yusuke |
| author_facet | Tanaka, Yusuke |
| contents | <p>This paper is part of the research series</p> <p>Constraint Dynamics in Parametrized Markov Systems.</p> <p>The series investigates structural constraints governing<br>exploration dynamics in parametrized Markov systems.</p> <p>Core themes include:</p> <p>• operator distinguishability collapse<br>• Fisher information geometry<br>• exploration constraint mechanisms<br>• collapse boundaries<br>• quadratic Fisher scaling</p> <p>Series index</p> <p>CD-PMS-01 Three Collapse Boundaries in Finite-State Systems with DAG Structure and Friction<br>CD-PMS-02 Gaussian Curvature of Two-Parameter Exponential Families on Finite State Spaces with Application to Constrained Markov Systems</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18843325 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | [CD-PMS-02] Gaussian Curvature of Two-Parameter Exponential Families on Finite State Spaces with Application to Constrained Markov Systems Tanaka, Yusuke information geometry Markov processes Fisher information exploration dynamics structural constraints <p>This paper is part of the research series</p> <p>Constraint Dynamics in Parametrized Markov Systems.</p> <p>The series investigates structural constraints governing<br>exploration dynamics in parametrized Markov systems.</p> <p>Core themes include:</p> <p>• operator distinguishability collapse<br>• Fisher information geometry<br>• exploration constraint mechanisms<br>• collapse boundaries<br>• quadratic Fisher scaling</p> <p>Series index</p> <p>CD-PMS-01 Three Collapse Boundaries in Finite-State Systems with DAG Structure and Friction<br>CD-PMS-02 Gaussian Curvature of Two-Parameter Exponential Families on Finite State Spaces with Application to Constrained Markov Systems</p> |
| title | [CD-PMS-02] Gaussian Curvature of Two-Parameter Exponential Families on Finite State Spaces with Application to Constrained Markov Systems |
| topic | information geometry Markov processes Fisher information exploration dynamics structural constraints |
| url | https://doi.org/10.5281/zenodo.18843325 |