Recent content by omega_minus

  1. omega_minus

    I Best way to quantify how well a model fits data

    Well that’s really my question. It’s easy enough to go online and look at various metrics and their definitions but I haven’t ever seen two time domain signals compared in a paper before. I was really just asking people who write scientific papers what would be a useful comparison if they were...
  2. omega_minus

    I Best way to quantify how well a model fits data

    Ok I did the R^2 calculation recommended by @Dale at the results are great. They look like I thought they should. I’d never used R^2 on anything other than linear regression but it was an easy thing to code for two waveforms as an output of my model. Thanks again for everyone’s input!
  3. omega_minus

    I Best way to quantify how well a model fits data

    Oh I see, sorry about that. I too was confused about the logarithm thing. I’ll watch for a response from them and thanks to you and everyone else for their input.
  4. omega_minus

    I Best way to quantify how well a model fits data

    If you’re interested in seeing the finite difference time domain model that I used, a paper written on it can be found here: https://arxiv.org/pdf/1408.0908.pdf
  5. omega_minus

    I Best way to quantify how well a model fits data

    Thank you, I'll try this. I initially tried something similar but I was left wondering how exactly to do it. Given that it's a continuous data set should I find the percent error at each point in time and then sum them? I'd also thought about the difference between the two signals as a signal...
  6. omega_minus

    I Best way to quantify how well a model fits data

    Great thank you! I'll do that and see what I get.
  7. omega_minus

    I Best way to quantify how well a model fits data

    Yes. The code allows for a random placing of N particles in an L^3 sized box. I just maintain the number density the I need and am able to keep the simulation representative of my sample. The parts I am adjusting are lengths and positions of chains of particles, distances between their...
  8. omega_minus

    I Best way to quantify how well a model fits data

    There are lots of parameters unfortunately. Its a model for magnetic nanoparticles. You can put arbitrary numbers of particles in any locations with various anisotropies, radii saturation magnetization, etc. I’ve narrowed it down to only adjusting positions to imitate the inter-particle...
  9. omega_minus

    I Best way to quantify how well a model fits data

    Thanks for the quick reply Dale! The "model" I have is a simulation from a computer. So it is the one that I'm going with since the actual experiment is too complicated for curve fitting from initial principles. That said, I'd like to compare how well the model fits as the conditions of the...
  10. omega_minus

    I Best way to quantify how well a model fits data

    Hello, I have recorded time-domain data from an experiment. I am using a finite difference time domain algorithm to simulate the experiment. The model has been tuned to resemble the data fairly well but I'd like to be able to quantify the fit. Most of what I see online seems to be about...
  11. omega_minus

    I Solve Mystery Equation - Get Insight into Relevance & Contents of Brackets

    Thanks @jedishrfu for the info. The d’Alembertian part I’m familiar with, I only mentioned it because that’s as “fancy” as we got in my grad school. But the tensor links are helpful to review for me since in orthogonal coordinates covariant and contravariant are the same. But I’m always left...
  12. omega_minus

    I Solve Mystery Equation - Get Insight into Relevance & Contents of Brackets

    Thanks for the information @vanhees71. In EE we don’t discuss Maxwell’s equations in tensor notation (unfortunately) so I’ve not been formally educated on the meaning of “covariant”. Our notation of the spatial derivative part is “del squared” and is taken as the 2nd partial derivative of each...
  13. omega_minus

    I Solve Mystery Equation - Get Insight into Relevance & Contents of Brackets

    Could it be the spatial component of a wave equation in terms of an electric field? Ignoring the epsilon (permittivity I guess) if you solve Maxwell’s equations you can get a wave equation which (for the one dimensional case) is the second derivative with respect to space of the E field minus...
  14. omega_minus

    I Solve the Mystery of the Alarm Signal: Duncan's Story

    One thing you could try to see if it’s battery powered or coming from the mains is to kill your main incoming circuit breaker right when it starts or possibly a bit earlier. If it doesn’t go off it could be something plugged in somewhere.
  15. omega_minus

    A Effective Spring Constant of a Chain Polymer

    @klotza Thank you for such a detailed response! This is exactly what I was looking for. As an electrical engineer my knowledge of these kinds of things is somewhat limited but now I can see what you are saying. It will take a while to digest but this has set me on the right path. Thanks...
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