Using AI and data science, an MIT team was able to accurately predict rogue waves coming out of the blue in the middle of the ocean, in near real time, to help sailors change their navigation path and avoid destruction and death. Rogue waves, while rare, are unpredictable, tall (up to 100 feet) and devastating. The physical mechanism producing these waves is well understood, and is typically modeled using rotating elements.
Out of curiosity, I produced a video a few years ago, with rotating elements - this was a pure mathematical simulation just for fun - and it turns out that it models pretty well the mechanism that turns regular waves into rogue waves. The intent was to have some mathematical fun: indeed I called my video "belly dancing mathematics" as it also models that process quite well. I was not thinking about rogue waves at that time.
Interestingly, if you look at my video, made of 400 rotating points moving in time across hundreds of video frames, it really looks like a calm ocean suddenly turning into waves going berserk. This was a purely accidental discovery, as my point was not to try to understand rogue waves, but to play with simulations, not expecting what would pop out.
Click here to watch my video, get the data, and get the source code to generate rogue waves, and to understand the underlying - yet simple - mechanism creating these waves. This will also help you create your own rogue wave predictor, using predictive modeling and ad-hoc metrics associated with these waves. There is about 15 lines of easy code, so it's pretty simple. Intriguingly, at least in the video, simulated rogue waves come in pairs, with unusually calm waters in the short time period between the two twin rogue waves. The twin rogue waves look like the first event and the aftershock in an Earthquake (which is another mechanism driven by waves). I still don't know what makes the waves (big or small) move from the North West to the South East, in the video. Obviously, they have to move in some direction, but it still surprises me. Watch the video below:
The MIT article about rogue wave prediction can be found here. Artificial intelligence is used for computer vision to check various waves and their parameters, from a boat. Data science is used for predictive modeling, checking when (based on simulations as in my video), the wave patterns point to an incoming rogue wave, based on measured wave parameters evolving in real time, and matched back to the theoretical framework used in the simulations.
In my simulations, three parameters are driving the whole wave system, from quiet to rogue and conversely, over a 60-second time period:
I am not sure if the same principles can be used to predict some types of rogue turbulence in the air (in clear sky), using devices attached to an aircraft, to help pilots and flyers avoid the most scary bumps.
Finally, this is an example where AI = IoT + DS, that is, Artificial Intelligence = Internet of Things (sensors on a boat to capture wave parameters) + Data Science (to analyze this sensor data, automatically, in real time, and predict when and where, and how big, the next rogue wave is going to be, and automatically pilot the boat).
About the author: Vincent Granville worked for Visa, eBay, Microsoft, Wells Fargo, NBC, a few startups and various organizations, to optimize business problems, boost ROI or to develop ROI attribution models, developing new techniques and systems to leverage modern big data and deliver added value. Vincent owns several patents, published in top scientific journals, raised VC funding, and founded a few startups. Vincent also manages his own self-funded research lab, focusing on simplifying, unifying, modernizing, automating, scaling, and dramatically optimizing statistical techniques. Vincent's focus is on producing robust, automatable tools, API's and algorithms that can be used and understood by the layman, and at the same time adapted to modern big, fast-flowing, unstructured data. Vincent is a post-doctorate from Cambridge University.
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The authors original paper from 2006 using Schrodinger's equation to explain rogue waves is here:
Abstract:
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We consider the modulational instability of nonlinearly interacting two-dimensional waves in deep water, which are described by a pair of two-dimensional coupled nonlinear Schrodinger equations. We derive a nonlinear dispersion relation. The latter is numerically analyzed to obtain the regions and the associated growth rates of the modulational instability. Furthermore, we follow the long term evolution of the latter by means of computer simulations of the governing nonlinear equations and demonstrate the formation of localized coherent wave envelopes. Our results should be useful for understanding the formation and nonlinear propagation characteristics of large amplitude freak waves in deep water.
Paper Pre-print Version
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"Instability and Evolution of Nonlinearly Interacting Water Waves"
http://www.tp4.ruhr-uni-bochum.de/~ioannis/publications/2006A12P.pdf
Some physicists modeled rogue waves in the framework of Quantum Mechanics, ie, the Schrodinger wave equations. This perhaps explain why rogue waves are very unpredictable.
"New theory (and old equations) may explain causes of ship-sinking freak waves"
http://phys.org/news/2006-09-theory-equations-ship-sinking-freak.html
Rogue waves is a phenomena that has caught the attention of physicists in recent times.
"Rogue wave recreated in laboratory tank"
http://phys.org/news/2011-05-rogue-recreated-laboratory-tank.html
Posted 13 July 2021
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