Exponentially Weighted Averages (C2W2L03)

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In this video we say: todaysEMA = (Beta * previousEMA) + ((1 - Beta) * todaysTHETA)

Wikipedia says: todaysEMA = (Beta * todaysTHETA) + ((1 - Beta) * previousEMA)

If we hold Beta at say .9 then these definitions would produce different results. However, if Wikipedia set Beta to .1 but this video set Beta to .9, the result would be equivalent.

If we wanted a reactionary measure, since this is essentially a large weighted average, I'd imagine that most of the time we want more weight on the new data point (todaysTHETA) and less weight on the previousEMA.

danieldeychakiwsky
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There is a heading 'How to kill your grandmother' in one of Nassim Nicholas Taleb's book (Skin in the Game, if I remember correctly)) and it talks about distortion in the real picture created by averages ... according to Taleb keeping an eye on extreme values is far far more important, particularly the outliers, then the values which come closer to a so called average ..

DrOmarJavaid
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It makes sense to initialize v0 to the first data point rather than zero. From the shown graph, it is obvious that he is doing it this way but he does not mention it

a.j.noushin
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02:30 you are saying that if you compute this and plot it in red and then show the graph. I computed it and it doesn’t match up.
V1 = 4
V2 = 3.6 + 4.9 = 8.4 and so on.
When the temperature values are around 40 deg F.
Then how is the red graph alights with the temperatures ?

antonkorolev
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I think, the period is aproximately calculated as 2/(1-beta).

vanheckcz
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V(t) = (beta)V(t-1) + (1-beta) * @(t) or the other way. Python Panda dataframe implements the formula mentioned by me . Which is correct? weighted_average[0] = arg[0]; weighted_average[i] = + beta*arg[i].

saimadhavp
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soo is this the thing people call "moving average" in context of neural networks to average weights over traininer iterations? If so that would mean you always average over 2 iterations? the current and the previous

RandomLogic
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What is V? Is it (averaged) temperature with the same units as theta?

mailoisback
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how is taking beta=0.9 equivalent to averaging temperature over 10 days?

sambitkumarbehura
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If emwa = n-days MA then, why do we need it??

piyushsoni
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says exponential.. but no exponents 🤔🤔🤔

KASANITEJ
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“Exponentially weighted averages” is a quite pretentious name for the simplest _low pass filter_ there is.

leftaroundabout