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@@ -24,12 +27,12 @@ Python methods for numerical differentiation of noisy data, including multi-obje
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PyNumDiff is a Python package that implements various methods for computing numerical derivatives of noisy data, which can be a critical step in developing dynamic models or designing control. There are seven different families of methods implemented in this repository:
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1. convolutional smoothing followed by finite difference calculation
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2. polynomial-fit-based methods
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3.iterated finite differencing
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4.total variation regularization of a finite difference derivative
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5.Kalman (RTS) smoothing
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6.basis-function-based methods
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7.linear local approximation with linear model
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2. polynomialfit methods
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3.basis function fit methods
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4.iterated finite differencing
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5.total variation regularization of a finite difference derivative
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6.Kalman (RTS) smoothing
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7. local approximation with linear model
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Most of these methods have multiple parameters, so we take a principled approach and propose a multi-objective optimization framework for choosing parameters that minimize a loss function to balance the faithfulness and smoothness of the derivative estimate. For more details, refer to [this paper](https://doi.org/10.1109/ACCESS.2020.3034077).
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