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Deterministic system
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==Others== In economics, the [[Ramsey–Cass–Koopmans model]] is deterministic. The stochastic equivalent is known as [[real business-cycle theory]]. As determinism relates to modeling in the natural sciences, a deterministic model<ref name="Bertsekas 1987">{{Cite book |last=Bertsekas |first=Dimitri P. |title=Dynamic programming: deterministic and stochastic models |date=1987 |publisher=Prentice-Hall |isbn=978-0-13-221581-7 |location=Englewood Cliffs, N.J}}</ref> uses existing data to model the future behavior of a system. The deterministic model is useful for systems that do not experience frequent or unexpected behavior - unless that behavior is already present in the system via existing data. This type of modeling is distinct from stochastic modeling<ref name="Bertsekas 1987" /> or forward modeling.<ref>{{Cite book |last=Wang |first=Yinpeng |title=Deep learning-based forward modeling and inversion techniques for computational physics problems |last2=Ren |first2=Qiang |date=2024 |publisher=CRC Press |isbn=978-1-032-50303-5 |location=Boca Raton London New York}}</ref> Stochastic modeling uses random data in the model while forward modeling uses a given model to predict future behavior in a system. Deterministic models are used across the natural sciences, including geology, oceanography,<ref>{{Cite journal |last=Jackson |first=Leland J. |last2=Trebitz |first2=Anett S. |last3=Cottingham |first3=Kathryn L. |date=2000-08-01 |title=An Introduction to the Practice of Ecological Modeling |journal=BioScience |volume=50 |issue=8 |pages=694–706 |doi=10.1641/0006-3568(2000)050[0694:AITTPO]2.0.CO;2 |issn=0006-3568}}</ref> physics, and other disciplines. [[File:Differences between stochastic and deterministic spiking neural network models-4LGzDtgMUkk.webm|thumb]]
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