Aidan Rocke

@bayesianbrain

An applied mathematician working on morphogenesis and foundations for intelligent behavior. // Rules for scientific discourse:

Europe
Joined July 2019

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  1. Pinned Tweet
    Feb 1

    Physical interpretation of the Manifold Hypothesis

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  2. 15 hours ago

    'Fractional Calculus and Variational Mechanics' // An explanation of how the fractional calculus allows an extension of the Lagrangian to non-conservative systems.

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  3. Retweeted

    Bridging Motor and Cognitive Control: It’s About Time! , , & Romy Frömer highlight recent work revealing similarities in the algorithms that control our thoughts and movements ,

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  4. Feb 1

    , do you guys think this can work for problems in theoretical neuroscience? I mean interesting problems which won't be worked out in the next 10 years otherwise as they simultaneously require a combination of skills and solving a coordination problem.

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  5. Feb 1

    'The Polymath Project is a collaboration among mathematicians to solve important and difficult mathematical problems by coordinating many mathematicians to communicate with each other on finding the best route to the solution.' link:

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  6. Feb 1

    Note: I think this might be one of the most interesting open problems in machine learning and neural information processing, unless a theoretical neuroscientist has already adequately addressed this question in a slightly different setting.

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  7. Feb 1

    Finally, we are all on Twitter to exchange ideas and not one-up each other so I hope everyone feels free to share their perspective. :)

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  8. Feb 1

    I haven't seen this question properly formulated anywhere so this represents my attempt. From my discussions with an applied topologist it has yet to be properly addressed. I also highly doubt that this is one of those problems where there will be a single ‘eureka’ moment. ;)

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  9. Feb 1

    I think this is also related to our previous discussion on the controllability and stability of complex dynamical systems. Instead of framing the question in the abstract I think we can connect it to an existing hypothesis in machine learning. :)

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  10. Feb 1

    This might also interest , ,

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  11. Feb 1
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  12. Feb 1

    In recognition that many scientists I admire are regularly harassed on Twitter, I wrote a few rules for scientific discourse: (also in my Twitter bio) (1) Feel free to use/share this list. (2) It is essential to define boundaries without being vindictive.

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  13. Jan 31

    If you want to have civil discussions on Twitter, it is important to treat other scientists like human beings. Otherwise you are normalising this kind of behaviour. Those who sit back and say nothing are legitimising the status quo.

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  14. Jan 31

    This is also not the first time I have observed this, which is why I am reluctant to name particular people. Check the 'Gradients in the Brain' debate as well: A lot of the comments are unnecessarily adversarial.

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  15. Jan 31

    I won't name names but I find that is always remarkably tolerant and tactful. Go through this thread and you'll understand what I mean. I really think a little bit more empathy can go a long way.

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  16. Retweeted

    Using simple linear models as building blocks, we are able to segment complex dynamics into interpretable segments. From brain to behavior, we find near-critical dynamics and show evidence of its modulation.

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  17. Jan 30

    I like the way calls this an 'intuition' question. :) For problems in high-dimension I think the best approach is to use inequalities and analyse them mathematically. Every time I use my intuition I get the answer completely wrong.

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  18. Jan 30

    Concerning the almost-all property the way this helps is that if we have a deterministic controller F that is piece-wise linear and each Jacobian is square, we only have to add gaussian noise ~N(0,epsilon) to this Jacobian so that F is locally invertible with probability one.

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  19. Jan 30

    I am pretty confident this idea has been explored so I am curious about references. I think such a theory should work for pretty complex inverse dynamics since the composition of a sequence of invertible functions is also invertible.

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  20. Jan 30

    Might there be a theory as to how organisms are dynamically stable? If mammals model dynamics using piece-wise linear functions, then we know that almost all square matrices are invertible so an inverse exists locally. cc: , , ,

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