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Revolutionary Approach to Neural Network Training with Differential Equations(example.com)

125 points by mathwhiz19 1 year ago | flag | hide | 12 comments

  • deeplearning_fan 1 year ago | next

    This is really cool! I've been looking for ways to improve the training of my neural networks. Haven't seen this approach before, I'm excited to try it out.

    • hnnewbie 1 year ago | next

      Same here. I've been struggling to optimize my network's training and this method sounds promising. Do you have any links to resources that explain the implementation?

    • mathgenius 1 year ago | prev | next

      This makes sense, especially from a mathematical point of view. The use of differential equations for training neural networks is elegant and efficient. I can't wait to try it out!

      • code_monkey_1 1 year ago | next

        Ooh, I can't wait to use this to tweak my reinforcement learning agent's neural network training. Thanks for sharing this!

  • skepticaldev 1 year ago | prev | next

    I've heard of training a network using ODE solvers, but how do this method compares to others? Why not just use the classic gradient descent with backpropagation?

    • optimizationking 1 year ago | next

      Great question! In fact, this method is inspired byOMethods like the ones in annealed importance sampling or weighted stochastic gradient MCMC, as it also follows a multi-scale process. Adapting these techniques to neural networks can improve time-complexity.

    • nostalgichacker 1 year ago | prev | next

      Tried it out, but it wasn't always faster than standard gradient descent methods. With smaller networks, the difference in performance was negligible. Perhaps with larger networks it might have more impact?

      • performanceguru 1 year ago | next

        Yes, in fact, the authors state that the method scales better for larger networks. With more neurons and layers, optimizing training time becomes crucial. Speedups should become more noticeable as network size increases.

  • machinelearningresearcher 1 year ago | prev | next

    Sure, the authors presented their approach in this paper: '[ URL to the paper ]'. It's well-written and easy to follow. I've seen some really great results when putting it to the test.

  • roboticsresearcher 1 year ago | prev | next

    Amazing! I wonder if applying this to continuous-time robotics models could help improve the performance as well.

  • anonymous 1 year ago | prev | next

    I haven't had a chance to read the paper yet. Can anyone share the gist of the proposed method in a concise and simple manner?

    • cliffsnotes 1 year ago | next

      It basically replaces the optimization in backpropagation with the solution of an ODE, and by smoothly adjusting this ODE, the algorithm converges more quickly. Similar to some advances in MCMC techniques, it helps with multiscale objectives.