Quantum mechanics

Pure mathematics

Variety (cybernetics)

Theoretical computer science

Field (mathematics)

Computer science

Physics

Psychology

Mathematics

Psychotherapist

Generality

Data science

Artificial intelligence

Deep learning

Physical system

Class (philosophy)

Machine learning

Journal of Statistical Mechanics Theory and Experiment

We consider the use of deep learning methods for modeling complex phenomena like those occurring in natural physical processes. With the large amount of data gathered on these phenomena the data intensive paradigm could begin to challenge more traditional approaches elaborated over the years in fields like maths or physics. However, despite considerable successes in a variety of application domains, the machine learning field is not yet ready to handle the level of complexity required by such problems. Using an example application, namely sea surface temperature prediction, we show how general background knowledge gained from the physics could be used as a guideline for designing efficient deep learning models. In order to motivate the approach and to assess its generality we demonstrate a formal link between the solution of a class of differential equations underlying a large family of physical phenomena and the proposed model. Experiments and comparison with series of baselines including a state of the art numerical approach is then provided.

Deep learning for physical processes: incorporating prior scientific knowledge