/sci/ - Science & Math » Thread #12110913

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Anonymous Sat 12 Sep 08:30:35 2020 No.12110913 View Reply Original Report

Quoted By: >>12111079 >>12111097

I made a paper on smoothing functions. What do you guys think?
https://drive.google.com/file/d/1Zuxoxsg28oynagT17qtg85EQgmFd4503/view?fbclid=IwAR1OSOqlyqvDNbbBhaL2s5EdPw4iFKVE5UZk1IKj6RrAS087wknlNn4VElE

Anonymous

Anonymous Sat 12 Sep 2020 09:31:32 No.12111016 Report

Quoted By:

(1.1) is not an equation. Maybe write the smoothing operation with a certain symbol to clarify and create a real equation, like
\mathcal{S}[f]=\int_{x+\delta}^{x-\delta}f(x)\mathrm{d}x
Which gives
\mathcal{S}^n[f]=\underbrace{\int_{x+\delta}^{x-\delta}\cdots\int_{x+\delta}^{x-\delta}}_{n}f(x)\mathrm{d}x
Other than that it's not bad but it doesn't really explain anything : what is smoothing, how does it work, what are the conditions on a function for it to be smoothable...
Also, last detail : on your graphs, maybe find a way to differentiate more easily the different smoothed functions, with a gradient of an annotation. Those are my two cents but I'm no expert by any means.

Anonymous

Anonymous Sat 12 Sep 2020 09:35:36 No.12111023 Report

Quoted By:

(1.1) is not an equation. Maybe write the smoothing operation with a certain symbol to clarify and create a real equation, like
$\mathcal{S}[f]=\int_{x+\delta}^{x-\delta}f(x)\mathrm{d}x$
Which gives
$\mathcal{S}^n[f]=\underbrace{\int_{x+\delta}^{x-\delta}\cdots\int_{x+\delta}^{x-\delta}}_{n}f(x)\mathrm{d}x$
Other than that it's not bad but it doesn't really explain anything : what is smoothing, how does it work, what are the conditions on a function for it to be smoothable...
Also, last detail : on your graphs, maybe find a way to differentiate more easily the different smoothed functions, with a gradient of an annotation. Those are my two cents but I'm no expert by any means.

Anonymous

Anonymous Sat 12 Sep 2020 10:17:06 No.12111079 Report

Quoted By: >>12111273 >>12111283

>>12110913
what's wrong with savgol filter

Anonymous

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Anonymous Sat 12 Sep 2020 10:33:31 No.12111097 Report

Quoted By:

>>12110913
Well I think literally about anything and everything that could be expressed in a read/write medium, such as stone tablet, ink and parchment, digital screens and accept any and all challenges to such things in order to allow external input into my thought process.

Thank you very much for asking me this question as it is a virgin moment for me to even be answering it and I appreciate the opportunity you provided so that I may do so.

Anonymous

Anonymous Sat 12 Sep 2020 12:43:34 No.12111273 Report

Quoted By:

>>12111079
Does it smooth things analytically?

Anonymous

Anonymous Sat 12 Sep 2020 12:46:30 No.12111283 Report

Quoted By:

>>12111079
Doesnt it only work on discrete data? My filter is analytical

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