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curve from which we draw some data points at some specific intervals, in this","confidence":0.7333333333333333,"words":[{"word":"sinusoidal","start_time":5.21,"end_time":5.751},{"word":"curve","start_time":5.791,"end_time":6.032},{"word":"from","start_time":9.479,"end_time":9.619},{"word":"which","start_time":9.66,"end_time":9.82},{"word":"we","start_time":9.86,"end_time":10.04},{"word":"draw","start_time":10.06,"end_time":10.381},{"word":"some","start_time":10.561,"end_time":10.702},{"word":"data","start_time":10.742,"end_time":10.882},{"word":"points","start_time":10.962,"end_time":11.283},{"word":"at","start_time":11.363,"end_time":11.463},{"word":"some","start_time":11.503,"end_time":11.704},{"word":"specific","start_time":11.784,"end_time":12.185},{"word":"intervals,","start_time":12.265,"end_time":12.646},{"word":"in","start_time":12.666,"end_time":14.47},{"word":"this","start_time":14.49,"end_time":14.61}],"alternatives":[],"language":"en"},{"transcript":" case right on top here 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by the blue dot, blue circles, okay.","confidence":0.7007142857142857,"words":[{"word":"by","start_time":21.931,"end_time":22.093},{"word":"the","start_time":22.113,"end_time":22.254},{"word":"blue","start_time":22.596,"end_time":22.798},{"word":"dot,","start_time":22.838,"end_time":23.1},{"word":"blue","start_time":23.221,"end_time":23.443},{"word":"circles,","start_time":23.503,"end_time":23.906},{"word":"okay.","start_time":23.926,"end_time":24.45}],"alternatives":[],"language":"en"},{"transcript":" Given that, given this data set which consists of these blue circles, we want to fit it 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a polynomial of this form given here, okay.","confidence":0.8043749999999998,"words":[{"word":"a","start_time":33.001,"end_time":33.021},{"word":"polynomial","start_time":33.081,"end_time":33.705},{"word":"of","start_time":33.966,"end_time":34.067},{"word":"this","start_time":34.107,"end_time":34.268},{"word":"form","start_time":34.308,"end_time":34.55},{"word":"given","start_time":34.711,"end_time":34.952},{"word":"here,","start_time":35.012,"end_time":35.193},{"word":"okay.","start_time":35.213,"end_time":36.36}],"alternatives":[],"language":"en"},{"transcript":" So we can, what we are going to do is to vary the degree of the polynomial and see how 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error which is given, which is illustrated in this figure.","confidence":0.621,"words":[{"word":"error","start_time":52.421,"end_time":52.864},{"word":"which","start_time":53.126,"end_time":53.268},{"word":"is","start_time":53.328,"end_time":53.389},{"word":"given,","start_time":53.409,"end_time":53.57},{"word":"which","start_time":53.671,"end_time":53.792},{"word":"is","start_time":53.832,"end_time":53.933},{"word":"illustrated","start_time":53.953,"end_time":54.377},{"word":"in","start_time":54.417,"end_time":54.478},{"word":"this","start_time":54.518,"end_time":54.639},{"word":"figure.","start_time":54.659,"end_time":54.78}],"alternatives":[],"language":"en"},{"transcript":" ground truth or the correct answer and whatever your polynomial outputs it is given by 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from 1 to n data points, okay.","confidence":0.513,"words":[{"word":"from","start_time":79.672,"end_time":79.834},{"word":"1","start_time":79.996,"end_time":80.016},{"word":"to","start_time":80.057,"end_time":80.219},{"word":"n","start_time":80.401,"end_time":80.462},{"word":"data","start_time":80.502,"end_time":80.745},{"word":"points,","start_time":80.766,"end_time":80.948},{"word":"okay.","start_time":80.968,"end_time":81.11}],"alternatives":[],"language":"en"},{"transcript":" data set to a polynomial of varying degrees and just to, we will just show what each 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you can see the red line which is actually the fit, the fitted curve, of course 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once you start to go use higher degree polynomials in this case polynomial of degree 3 here 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so on and so forth will become to polynomial of degree 9, in this case you see that 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red curve which is the fit that is the output Y of X I W fits goes through every each 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of these points, so it goes through all the blue circles however in between the blue 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what do I mean by it is off, so we know that our blue circles are drawn from this 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curve, so ideally when you are done with the fit you would expect the red curve to 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close to the green curve but in this case in between the samples it is actually 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so even though with the higher degree polynomial we are able to fit every point exactly 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that our fitting error is very small, we see that in points other than the blue 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It is actually quite far from the ground truth.","confidence":0.7636666666666667,"words":[{"word":"It","start_time":169.352,"end_time":169.392},{"word":"is","start_time":169.433,"end_time":169.493},{"word":"actually","start_time":169.574,"end_time":169.877},{"word":"quite","start_time":169.937,"end_time":170.139},{"word":"far","start_time":170.18,"end_time":170.361},{"word":"from","start_time":170.422,"end_time":170.583},{"word":"the","start_time":170.624,"end_time":170.765},{"word":"ground","start_time":170.967,"end_time":171.149},{"word":"truth.","start_time":171.169,"end_time":171.31}],"alternatives":[],"language":"en"}]