@austinharper59 This is a pretty good intro to ode in MATLAB. It's always good to compare all these different explanations and find an approach that works for you.
@CamPerkinsQB You're right, there are a lot of examples. They're more complex than what we're doing but it's still a good reference for understanding how different DEs work in MATLAB.
@austinharper59 Good recap. This reminds me of the methods we would use to find the area under a curve before we used integrals. As we set dx to be smaller, we would obtain a better approximation.
@CamPerkinsQB This is a good explanation. To be honest I haven't had that much time to actually fully understand the process. It now makes more sense about why we choose the most negative number as our pivot column.
@holston_sebaugh Nice video! I can see why we do the geometric method to get a nice visual understanding of linear programming. If we just jumped straight into the simplex method it would probably be a bit confusing.
This article talks about gradient descent algorithms. It's very detailed, but it's cool to skim through and see the different algorithms that use this concept.
https://t.co/SYydX51RDp #math3185
@CamPerkinsQB It's always nice to be able to visualize concepts like this. It's like rolling a ball on an incline surface and watching where it eventually stops. The ball does not do anything if you drop it on a flat surface.
@holston_sebaugh This is pretty interesting. Our last project really showed how difficult it is estimating good parameters for oscillating data. Also, I should really start looking into python more...it can do a lot of cool things.
@CamPerkinsQB It makes a good point about how a high coefficient might not mean the model is actually good or vise versa. I've seen in our last project how one model has less residual error than another but in the long run will be a worse model.
@austinharper59 Interesting! I remember writing a forum post over simulated annealing which is a type of metaheuristic optimization. It finds approximate global optimums rather than precise local optimums.
@CamPerkinsQB@holston_sebaugh What makes real world problems so good is that it helps understand concepts such as constraints. By just thinking about numbers you may be like, ok x,y>0 whatever. It's not until you see it's application and then you're like, oh yeah you can't have a negative amount of milk
@CamPerkinsQB Great find Cam! This is a good example of problem solving in the real world...being able to take a problem and expressing it in mathematical terms. I'll keep this example for future reference as we study linear programming.
@holston_sebaugh This gives a nice explanation. I like being able to see python code because me helps me understand the coding concepts since I'm not as familiar with python
@austinharper59 I like the fact that the correlation coefficient is the slope. Spreading out the x-values causes the slope to be more horizontal and spreading out the y-values causes the slope to be more vertical. It makes sense!