%global _empty_manifest_terminate_build 0 Name: python-signal-processing-algorithms Version: 2.0.1 Release: 1 Summary: Signal Processing Algorithms from MongoDB License: Apache-2.0 URL: https://github.com/mongodb/signal-processing-algorithms Source0: https://mirrors.nju.edu.cn/pypi/web/packages/79/b9/c212922a7f0d367be1834a3e7c6341594060d3ff37cd8ec95b0a2459efc6/signal-processing-algorithms-2.0.1.tar.gz BuildArch: noarch Requires: python3-more-itertools Requires: python3-numpy Requires: python3-scipy Requires: python3-structlog Requires: python3-typing-extensions %description # Signal Processing Algorithms A suite of algorithms implementing [Energy Statistics](https://en.wikipedia.org/wiki/Energy_distance), [E-Divisive with Means](https://arxiv.org/pdf/1306.4933.pdf) and [Generalized ESD Test for Outliers](https://www.itl.nist.gov/div898/handbook/eda/section3/eda35h3.htm) in python. See [The Use of Change Point Detection to Identify Software Performance Regressions in a Continuous Integration System](https://dl.acm.org/doi/abs/10.1145/3358960.3375791) and [Creating a Virtuous Cycle in Performance Testing at MongoDB](https://dl.acm.org/doi/pdf/10.1145/3427921.3450234) for background on the development and use of this library. ## Getting Started - Users ``` pip install signal-processing-algorithms ``` ## Getting Started - Developers Getting the code: ``` $ git clone git@github.com:mongodb/signal-processing-algorithms.git $ cd signal-processing-algorithms ``` Installation ``` $ pip install poetry $ poetry install ``` Testing/linting: ``` $ poetry run pytest ``` Running the slow tests: ``` $ poetry run pytest --runslow ``` **Some of the larger tests can take a significant amount of time (more than 2 hours).** ## Energy statistics [Energy Statistics](https://en.wikipedia.org/wiki/Energy_distance) is the statistical concept of Energy Distance and can be used to measure how similar/different two distributions are. For statistical samples from two random variables X and Y: x1, x2, ..., xn and y1, y2, ..., yn E-Statistic is defined as: $E_{n,m}(X,Y):=2A-B-C$ where, $A:={\frac {1}{nm}}\sum _{i=1}^{n}\sum _{j=1}^{m}\|x_{i}-y_{j}\|,B:={\frac {1}{n^{2}}}\sum _{i=1}^{n}\sum _{j=1}^{n}\|x_{i}-x_{j}\|,C:={\frac {1}{m^{2}}}\sum _{i=1}^{m}\sum _{j=1}^{m}\|y_{i}-y_{j}\|$ T-statistic is defined as: $T={\frac {nm}{n+m}}E_{{n,m}}(X,Y)$ E-coefficient of inhomogeneity is defined as: $H=\frac{2E||X-Y|| - E||X-X'|| - E||Y-Y'||}{2E||X-Y||}$ ``` from signal_processing_algorithms.energy_statistics import energy_statistics from some_module import series1, series2 # To get Energy Statistics of the distributions. es = energy_statistics.get_energy_statistics(series1, series2) # To get Energy Statistics and permutation test results of the distributions. es_with_probabilities = energy_statistics.get_energy_statistics_and_probabilities(series1, series2, permutations=100) ``` ## Intro to E-Divisive Detecting distributional changes in a series of numerical values can be surprisingly difficult. Simple systems based on thresholds or mean values can be yield false positives due to outliers in the data, and will fail to detect changes in the noise profile of the series you are analyzing. One robust way of detecting many of the changes missed by other approaches is to use [E-Divisive with Means](https://arxiv.org/pdf/1306.4933.pdf), an energy statistic based approach that compares the expected distance (Euclidean norm) between samples of two portions of the series with the expected distance between samples within those portions. That is to say, assuming that the two portions can each be modeled as i.i.d. samples drawn from distinct random variables (X for the first portion, Y for the second portion), you would expect the E-statistic to be non-zero if there is a difference between the two portions: $E_{n,m}(X,Y):=2A-B-C$ where A, B and C are as defined in the Energy Statistics above. One can prove that ${E_{n,m}(X,Y)\geq 0}$ and that the corresponding population value is zero if and only if X and Y have the same distribution. Under this null hypothesis the test statistic $T={\frac {nm}{n+m}}E_{{n,m}}(X,Y)$ converges in distribution to a quadratic form of independent standard normal random variables. Under the alternative hypothesis T tends to infinity. This makes it possible to construct a consistent statistical test, the energy test for equal distributions Thus for a series Z of length L, $Z = \{Z_{1}, ..., Z_{\tau} , ... , Z_{L}\}, X =\{Z_{1},...,Z_{\tau}\}, Y=\{Z_{\tau+1}\,...,Z_{L}\}$ we find the most likely change point by solving the following for τ such that it has the maximum T statistic value. ### Multiple Change Points The algorithm for finding multiple change points is also simple. Assuming you have some k known change points: 1. Partition the series into segments between/around these change points. 2. Find the maximum value of our divergence metric _within_ each partition. 3. Take the maximum of the maxima we have just found --> this is our k+1th change point. 4. Return to step 1 and continue until reaching your stopping criterion. ### Stopping Criterion In this package we have implemented a permutation based test as a stopping criterion: After step 3 of the multiple change point procedure above, randomly permute all of the data _within_ each cluster, and find the most likely change point for this permuted data using the procedure laid out above. After performing this operation z times, count the number of permuted change points z' that have higher divergence metrics than the change point you calculated with un-permuted data. The significance level of your change point is thus z'/(z+1). We allow users to configure a permutation tester with `pvalue` and `permutations` representing the significance cutoff for algorithm termination and permutations to perform for each test, respectively. ### Example ``` from signal_processing_algorithms.energy_statistics import energy_statistics from some_module import series change_points = energy_statistics.e_divisive(series, pvalue=0.01, permutations=100) ``` %package -n python3-signal-processing-algorithms Summary: Signal Processing Algorithms from MongoDB Provides: python-signal-processing-algorithms BuildRequires: python3-devel BuildRequires: python3-setuptools BuildRequires: python3-pip %description -n python3-signal-processing-algorithms # Signal Processing Algorithms A suite of algorithms implementing [Energy Statistics](https://en.wikipedia.org/wiki/Energy_distance), [E-Divisive with Means](https://arxiv.org/pdf/1306.4933.pdf) and [Generalized ESD Test for Outliers](https://www.itl.nist.gov/div898/handbook/eda/section3/eda35h3.htm) in python. See [The Use of Change Point Detection to Identify Software Performance Regressions in a Continuous Integration System](https://dl.acm.org/doi/abs/10.1145/3358960.3375791) and [Creating a Virtuous Cycle in Performance Testing at MongoDB](https://dl.acm.org/doi/pdf/10.1145/3427921.3450234) for background on the development and use of this library. ## Getting Started - Users ``` pip install signal-processing-algorithms ``` ## Getting Started - Developers Getting the code: ``` $ git clone git@github.com:mongodb/signal-processing-algorithms.git $ cd signal-processing-algorithms ``` Installation ``` $ pip install poetry $ poetry install ``` Testing/linting: ``` $ poetry run pytest ``` Running the slow tests: ``` $ poetry run pytest --runslow ``` **Some of the larger tests can take a significant amount of time (more than 2 hours).** ## Energy statistics [Energy Statistics](https://en.wikipedia.org/wiki/Energy_distance) is the statistical concept of Energy Distance and can be used to measure how similar/different two distributions are. For statistical samples from two random variables X and Y: x1, x2, ..., xn and y1, y2, ..., yn E-Statistic is defined as: $E_{n,m}(X,Y):=2A-B-C$ where, $A:={\frac {1}{nm}}\sum _{i=1}^{n}\sum _{j=1}^{m}\|x_{i}-y_{j}\|,B:={\frac {1}{n^{2}}}\sum _{i=1}^{n}\sum _{j=1}^{n}\|x_{i}-x_{j}\|,C:={\frac {1}{m^{2}}}\sum _{i=1}^{m}\sum _{j=1}^{m}\|y_{i}-y_{j}\|$ T-statistic is defined as: $T={\frac {nm}{n+m}}E_{{n,m}}(X,Y)$ E-coefficient of inhomogeneity is defined as: $H=\frac{2E||X-Y|| - E||X-X'|| - E||Y-Y'||}{2E||X-Y||}$ ``` from signal_processing_algorithms.energy_statistics import energy_statistics from some_module import series1, series2 # To get Energy Statistics of the distributions. es = energy_statistics.get_energy_statistics(series1, series2) # To get Energy Statistics and permutation test results of the distributions. es_with_probabilities = energy_statistics.get_energy_statistics_and_probabilities(series1, series2, permutations=100) ``` ## Intro to E-Divisive Detecting distributional changes in a series of numerical values can be surprisingly difficult. Simple systems based on thresholds or mean values can be yield false positives due to outliers in the data, and will fail to detect changes in the noise profile of the series you are analyzing. One robust way of detecting many of the changes missed by other approaches is to use [E-Divisive with Means](https://arxiv.org/pdf/1306.4933.pdf), an energy statistic based approach that compares the expected distance (Euclidean norm) between samples of two portions of the series with the expected distance between samples within those portions. That is to say, assuming that the two portions can each be modeled as i.i.d. samples drawn from distinct random variables (X for the first portion, Y for the second portion), you would expect the E-statistic to be non-zero if there is a difference between the two portions: $E_{n,m}(X,Y):=2A-B-C$ where A, B and C are as defined in the Energy Statistics above. One can prove that ${E_{n,m}(X,Y)\geq 0}$ and that the corresponding population value is zero if and only if X and Y have the same distribution. Under this null hypothesis the test statistic $T={\frac {nm}{n+m}}E_{{n,m}}(X,Y)$ converges in distribution to a quadratic form of independent standard normal random variables. Under the alternative hypothesis T tends to infinity. This makes it possible to construct a consistent statistical test, the energy test for equal distributions Thus for a series Z of length L, $Z = \{Z_{1}, ..., Z_{\tau} , ... , Z_{L}\}, X =\{Z_{1},...,Z_{\tau}\}, Y=\{Z_{\tau+1}\,...,Z_{L}\}$ we find the most likely change point by solving the following for τ such that it has the maximum T statistic value. ### Multiple Change Points The algorithm for finding multiple change points is also simple. Assuming you have some k known change points: 1. Partition the series into segments between/around these change points. 2. Find the maximum value of our divergence metric _within_ each partition. 3. Take the maximum of the maxima we have just found --> this is our k+1th change point. 4. Return to step 1 and continue until reaching your stopping criterion. ### Stopping Criterion In this package we have implemented a permutation based test as a stopping criterion: After step 3 of the multiple change point procedure above, randomly permute all of the data _within_ each cluster, and find the most likely change point for this permuted data using the procedure laid out above. After performing this operation z times, count the number of permuted change points z' that have higher divergence metrics than the change point you calculated with un-permuted data. The significance level of your change point is thus z'/(z+1). We allow users to configure a permutation tester with `pvalue` and `permutations` representing the significance cutoff for algorithm termination and permutations to perform for each test, respectively. ### Example ``` from signal_processing_algorithms.energy_statistics import energy_statistics from some_module import series change_points = energy_statistics.e_divisive(series, pvalue=0.01, permutations=100) ``` %package help Summary: Development documents and examples for signal-processing-algorithms Provides: python3-signal-processing-algorithms-doc %description help # Signal Processing Algorithms A suite of algorithms implementing [Energy Statistics](https://en.wikipedia.org/wiki/Energy_distance), [E-Divisive with Means](https://arxiv.org/pdf/1306.4933.pdf) and [Generalized ESD Test for Outliers](https://www.itl.nist.gov/div898/handbook/eda/section3/eda35h3.htm) in python. See [The Use of Change Point Detection to Identify Software Performance Regressions in a Continuous Integration System](https://dl.acm.org/doi/abs/10.1145/3358960.3375791) and [Creating a Virtuous Cycle in Performance Testing at MongoDB](https://dl.acm.org/doi/pdf/10.1145/3427921.3450234) for background on the development and use of this library. ## Getting Started - Users ``` pip install signal-processing-algorithms ``` ## Getting Started - Developers Getting the code: ``` $ git clone git@github.com:mongodb/signal-processing-algorithms.git $ cd signal-processing-algorithms ``` Installation ``` $ pip install poetry $ poetry install ``` Testing/linting: ``` $ poetry run pytest ``` Running the slow tests: ``` $ poetry run pytest --runslow ``` **Some of the larger tests can take a significant amount of time (more than 2 hours).** ## Energy statistics [Energy Statistics](https://en.wikipedia.org/wiki/Energy_distance) is the statistical concept of Energy Distance and can be used to measure how similar/different two distributions are. For statistical samples from two random variables X and Y: x1, x2, ..., xn and y1, y2, ..., yn E-Statistic is defined as: $E_{n,m}(X,Y):=2A-B-C$ where, $A:={\frac {1}{nm}}\sum _{i=1}^{n}\sum _{j=1}^{m}\|x_{i}-y_{j}\|,B:={\frac {1}{n^{2}}}\sum _{i=1}^{n}\sum _{j=1}^{n}\|x_{i}-x_{j}\|,C:={\frac {1}{m^{2}}}\sum _{i=1}^{m}\sum _{j=1}^{m}\|y_{i}-y_{j}\|$ T-statistic is defined as: $T={\frac {nm}{n+m}}E_{{n,m}}(X,Y)$ E-coefficient of inhomogeneity is defined as: $H=\frac{2E||X-Y|| - E||X-X'|| - E||Y-Y'||}{2E||X-Y||}$ ``` from signal_processing_algorithms.energy_statistics import energy_statistics from some_module import series1, series2 # To get Energy Statistics of the distributions. es = energy_statistics.get_energy_statistics(series1, series2) # To get Energy Statistics and permutation test results of the distributions. es_with_probabilities = energy_statistics.get_energy_statistics_and_probabilities(series1, series2, permutations=100) ``` ## Intro to E-Divisive Detecting distributional changes in a series of numerical values can be surprisingly difficult. Simple systems based on thresholds or mean values can be yield false positives due to outliers in the data, and will fail to detect changes in the noise profile of the series you are analyzing. One robust way of detecting many of the changes missed by other approaches is to use [E-Divisive with Means](https://arxiv.org/pdf/1306.4933.pdf), an energy statistic based approach that compares the expected distance (Euclidean norm) between samples of two portions of the series with the expected distance between samples within those portions. That is to say, assuming that the two portions can each be modeled as i.i.d. samples drawn from distinct random variables (X for the first portion, Y for the second portion), you would expect the E-statistic to be non-zero if there is a difference between the two portions: $E_{n,m}(X,Y):=2A-B-C$ where A, B and C are as defined in the Energy Statistics above. One can prove that ${E_{n,m}(X,Y)\geq 0}$ and that the corresponding population value is zero if and only if X and Y have the same distribution. Under this null hypothesis the test statistic $T={\frac {nm}{n+m}}E_{{n,m}}(X,Y)$ converges in distribution to a quadratic form of independent standard normal random variables. Under the alternative hypothesis T tends to infinity. This makes it possible to construct a consistent statistical test, the energy test for equal distributions Thus for a series Z of length L, $Z = \{Z_{1}, ..., Z_{\tau} , ... , Z_{L}\}, X =\{Z_{1},...,Z_{\tau}\}, Y=\{Z_{\tau+1}\,...,Z_{L}\}$ we find the most likely change point by solving the following for τ such that it has the maximum T statistic value. ### Multiple Change Points The algorithm for finding multiple change points is also simple. Assuming you have some k known change points: 1. Partition the series into segments between/around these change points. 2. Find the maximum value of our divergence metric _within_ each partition. 3. Take the maximum of the maxima we have just found --> this is our k+1th change point. 4. Return to step 1 and continue until reaching your stopping criterion. ### Stopping Criterion In this package we have implemented a permutation based test as a stopping criterion: After step 3 of the multiple change point procedure above, randomly permute all of the data _within_ each cluster, and find the most likely change point for this permuted data using the procedure laid out above. After performing this operation z times, count the number of permuted change points z' that have higher divergence metrics than the change point you calculated with un-permuted data. The significance level of your change point is thus z'/(z+1). We allow users to configure a permutation tester with `pvalue` and `permutations` representing the significance cutoff for algorithm termination and permutations to perform for each test, respectively. ### Example ``` from signal_processing_algorithms.energy_statistics import energy_statistics from some_module import series change_points = energy_statistics.e_divisive(series, pvalue=0.01, permutations=100) ``` %prep %autosetup -n signal-processing-algorithms-2.0.1 %build %py3_build %install %py3_install install -d -m755 %{buildroot}/%{_pkgdocdir} if [ -d doc ]; then cp -arf doc %{buildroot}/%{_pkgdocdir}; fi if [ -d docs ]; then cp -arf docs %{buildroot}/%{_pkgdocdir}; fi if [ -d example ]; then cp -arf example %{buildroot}/%{_pkgdocdir}; fi if [ -d examples ]; then cp -arf examples %{buildroot}/%{_pkgdocdir}; fi pushd %{buildroot} if [ -d usr/lib ]; then find usr/lib -type f -printf "/%h/%f\n" >> filelist.lst fi if [ -d usr/lib64 ]; then find usr/lib64 -type f -printf "/%h/%f\n" >> filelist.lst fi if [ -d usr/bin ]; then find usr/bin -type f -printf "/%h/%f\n" >> filelist.lst fi if [ -d usr/sbin ]; then find usr/sbin -type f -printf "/%h/%f\n" >> filelist.lst fi touch doclist.lst if [ -d usr/share/man ]; then find usr/share/man -type f -printf "/%h/%f.gz\n" >> doclist.lst fi popd mv %{buildroot}/filelist.lst . mv %{buildroot}/doclist.lst . %files -n python3-signal-processing-algorithms -f filelist.lst %dir %{python3_sitelib}/* %files help -f doclist.lst %{_docdir}/* %changelog * Wed Apr 12 2023 Python_Bot - 2.0.1-1 - Package Spec generated