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Problem solving. Accelerometer based Computer Mouse.

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So I have two time sequences(Each with a varying sample rate) describing the motion of an object on a 2-d horizontal plane.

One time sequence measures x and y positions on this plane with a 0.01% margin of error.

The other measures a sequence of accelerometer readings with a larger ~15% margin of error.

I want to use data from the first series in conjunction with data from the second series to either:
- produce a third sequence of smoother, more accurate accelerometer readings.
- train a machine learning model to map future noisy accelerometer readings to their respective x,y coordinates.

So the question:

What machine learning approaches exist that would be best suited to solving this problem?

How would you solve this problem differently if instead of being given a sequence of data, you were given accelerometer readings on the spot?

How well does your solution scale if the margin of error varied from accelerometer to accelerometer?

submitted by conic_relief
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