Aditya Kale - ECE PhD Student of the Month - December 2025
Aditya Kale is an EE Ph.D. candidate advised by Dr. Marcos Netto. His research focuses on the Koopman Operator theory of Dynamical Systems. Specifically, the open problem of discovering provably optimal observables for complex nonlinear systems.
What would you say that could be the next big thing in your area of research?
Currently, there are many exciting things happening in the field on several different directions. While all of them could be “the next big thing”, I personally think that super-linearization has the potential to revolutionize dynamical systems analysis. It is still a fledgling area of study; but if its open problems are tackled, then it promises global linearization of nonlinear systems via a deterministic lifting of dimension.
You have published your first research paper in your PhD study this year. Please share your experience about working with your advisor from conceiving the topic to writing up the manuscript and going through the review process.
The topic of the paper that was published came about naturally in the process of trying to solve a completely unrelated problem. The professor and I were working to correct the spectrum generated by a real-time dynamics computing algorithm. While looking under the hood of this algorithm, I spotted some redundancies and wasted computation so we came up with a more efficient formulation of that algorithm, which eventually became the published paper. The manuscript went through two rounds of review and in the process we ended up writing an extra document with more content. As such, the published work also has accompanying supplementary material.
What plan do you have for your next paper? You can share your thoughts on choice of conference/journal, design of the topic, things you'd like to avoid or try this time, and so on.
I don't really have a strong preference for any specific journal, although it would be nice to have something in Transactions on Automatic Control. Currently, I am researching the aforementioned super-linearization and my next paper will probably be a contribution in that area. One thing I'd do differently this time is not try to fight the LaTeX template on the publisher's website: the compiler wants the typesetting to be a certain way and the more you deviate by including libraries you may want but are not well supported, the more miserable the experience becomes.