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Prologue Ongoing advances in LLMs call for a mathematical model that can analytically model its computability. To do so, it is important to start with a basic model of LLM that captures the core properties, still allowing mathematical tractability. Let’s start with mathematical model for RNNs.Introduction Consider an RNN network $latex \mathbb{N}$ composed of $latexContinueContinue reading “Mathematical model for computability using neural networks: Part 1 (RNN)”

It is often said that science and scientists work objectively, and logic, rationalism governs science. While for the most part of the process it is true, except that the underlying axioms or beliefs dictate which thread of rationalism a particular scientist weaves through their career. This is an important question to consider, given that scienceContinueContinue reading “Multitudes of beliefs in science”

This post is intended as an advertisement or extended abstract and open invitation for community of researchers who work at the interface of: (a) fluid mechanics; (b) machine learning and analog computing; (c) functional analysis of Navier-Stokes equations, to attend a series of talks in an upcoming workshop at the London Institute for Mathematical Sciences.ContinueContinue reading “Navier-Stokes regularity, fluid computing, and machine learning workshop”

On January 2020, my collaborator Dr Victor Kang saw a geometrically appealing observation, while performing receding-contact-line tests on pitcher fluids (as part of our previous collaboration; see the article here). What he observed was the formation of fractal-like ordered structures when the drop of a pitcher fluid is withdrawn inwards. These structures were formed atContinueContinue reading “A new preprint is out: experimental evidence of hydrodynamic singularity”

This blog is an update of my new poetry book, titled, “Few Drops of Consciousness”. The title might hint that this book has got to do something with consciousness. But it would mean that the word “drop” is meaningless here – but this is not true. This book is, in its core, a dedication inContinueContinue reading “Few Drops of Consciousness: a new book out”

This post is a summary of the new preprint that can be accessed here. Contributions: The article was conceived and written after a long series of inspiring discussion with Dr Giulia Marcucci and later joined by an undergraduate student, Adnan Mahmud, who I supervised 2 years ago at the department of CEB, Cambridge. Informal story:ContinueContinue reading ““A complexity perspective on fluid mechanics” : Blog”

“Computer science is no more about computers than astronomy is about telescopes”. This statement, albeit poetic, has its origins in another poetic catchphrase “It from Bit” popularised by J.A. Wheeler in 1990s, arguing that information is at the core of physical systems. Information, encoded into bits, 0s and 1s, can be useful to compute thingsContinueContinue reading “Digital Fluid Mechanics”

Statistical physics-informed turbulence:Navier-Stokes equations have been long used to theorise turbulence; most likely because of the pedestal these equations have got. However, at sub-Kolmogorov scales, the intrinsic effects due to molecules can also get important; which transforms the deterministic nature of fluids to fluctuating, stochastic nature. The additional term in NS is the fluctuating stress,ContinueContinue reading “Turbulence: part 2”

What fascinates me the most about cinema is that it can be both static and dynamic; stable and unstable; real and imaginary; it is the visual world of the director. Addition of sounds makes it both visual and auditary. To qualify as an art form, cinema needs to convey the story from director’s subjective worldContinueContinue reading “Tarkovskian poetic cinema and complex systems”

Every first and third Saturday of the month, we organise an interdisciplinary journal club in Pembroke College. Message here when you are at Tennis Court entrance.Timing: 12.30 PM GMTRegister here. You are welcome to attend, participate or present research paper(s) of your choice. 18/12/2021: Speaker – Satyajit Title – Blockchain and Beyond Recorded video4/12/2021: SpeakerContinueContinue reading “Interdisciplinary Journal Club”