polya | A heuristic procedure for proving inequalities | Machine Learning library

 by   avigad Python Version: Current License: No License

kandi X-RAY | polya Summary

kandi X-RAY | polya Summary

polya is a Python library typically used in Artificial Intelligence, Machine Learning applications. polya has no bugs, it has no vulnerabilities and it has low support. However polya build file is not available. You can download it from GitHub.

Authors: Jeremy Avigad, Robert Y. Lewis, Cody Roux. Polya is a system designed to support interactive theorem proving by verifying the kinds of inequalities that arise in ordinary mathematical arguments. The method is described in the paper "A heuristic prover for real inequalities," available [online] The version of the system described in the paper is tagged "v0.2". The system is released under the [Apache 2.0 license] It is still an experimental prototype, and feedback is very welcome. For instructions on setting up and using Polya, see the file INSTALL.md.
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            kandi-support Support

              polya has a low active ecosystem.
              It has 26 star(s) with 6 fork(s). There are 7 watchers for this library.
              OutlinedDot
              It had no major release in the last 6 months.
              polya has no issues reported. There are no pull requests.
              It has a neutral sentiment in the developer community.
              The latest version of polya is current.

            kandi-Quality Quality

              polya has 0 bugs and 0 code smells.

            kandi-Security Security

              polya has no vulnerabilities reported, and its dependent libraries have no vulnerabilities reported.
              polya code analysis shows 0 unresolved vulnerabilities.
              There are 0 security hotspots that need review.

            kandi-License License

              polya does not have a standard license declared.
              Check the repository for any license declaration and review the terms closely.
              OutlinedDot
              Without a license, all rights are reserved, and you cannot use the library in your applications.

            kandi-Reuse Reuse

              polya releases are not available. You will need to build from source code and install.
              polya has no build file. You will be need to create the build yourself to build the component from source.
              Installation instructions are not available. Examples and code snippets are available.
              polya saves you 2625 person hours of effort in developing the same functionality from scratch.
              It has 5698 lines of code, 468 functions and 36 files.
              It has high code complexity. Code complexity directly impacts maintainability of the code.

            Top functions reviewed by kandi - BETA

            kandi has reviewed polya and discovered the below as its top functions. This is intended to give you an instant insight into polya implemented functionality, and help decide if they suit your requirements.
            • Updates blackboard
            • Return the direction of a point
            • Return the boundaries of a list of vertices
            • Given a list of vertices and lin_j
            • Updates the blacklist
            • Convert a summand
            • Raises AssertionError if one equivalence of one_equison
            • Convert a Zero - comparison term to a comparison
            • Announce the average run times
            • Calculates the totient of the totient
            • Update the blacklist
            • Find the two lines that have the same info
            • Return the root of the root at t
            • Updates the coefficients of the covariance matrix
            • Return True if the direction of this direction is equal to another
            • R Return a list of all primes below N
            • Solve a problem
            • Compute the Compute equation
            • Add a half - plane comparison of two lists
            • Return the perfect root of a p
            • Validate a claim
            • Return True if points falls on the same side
            • Return the halfplane of a given comp
            • Return a list of Var objects
            • Example of an example
            • Update the blackboard
            Get all kandi verified functions for this library.

            polya Key Features

            No Key Features are available at this moment for polya.

            polya Examples and Code Snippets

            No Code Snippets are available at this moment for polya.

            Community Discussions

            QUESTION

            Check if three fourth part of polygon lies inside another polygon using shapely/any other method
            Asked 2021-Mar-17 at 10:12

            Currently, I check if my polygon lies within another polygon using polya.contains(polyb)

            However, it is not necessary my polygon polyb lies completely inside polya. Is there a built-in method to check if three-fourth of the polygon is inside polya?

            ...

            ANSWER

            Answered 2021-Mar-17 at 10:12

            I figured it out, posting my answer here if anyone else might need it. I used the hint given by Mr. T, the solution was extremely simple. I check if the overlapping area is within a certain threshold. It is also similar to the concept of IOU in Computer Vision.

            Source https://stackoverflow.com/questions/66545382

            QUESTION

            data extraction based on polygons and rasters with categorical and quantitative values
            Asked 2020-Sep-06 at 22:15

            I wish, for each polygon of a SpatialPolygonsDataFrame polyA (in my case each country in the wrold from wrld_simpl or GADM), and for each category of a categorical raster rcat, sum the values of another raster with quantitative values rquant. The final output would be a dataframe with the following columns: country name, category name, summed value.

            I am familiar with bits of code but these do not fully allow me to figure out the right script to write. Is someone able to help me? Apologies for not providing a reproducible example here. Note that I'm working with rasters with 0.0083 resolution (ncell = 933120000), so I don't think converting the rasters to dataframes is a good idea.

            The following script sums values from rquant for each polygon

            ...

            ANSWER

            Answered 2020-Sep-06 at 22:15

            The way I ended up dealing with the data extraction was to first create a quantitative raster for each category of the categorical raster rcat (with values=NA for pixels under other categories and rquant values for pixels under the relevant category). Then, for each of these new rasters, I extracted their information per polygon using the velox package devtools::install_github('hunzikp/velox') - great for extracting dat from large datasets.

            Source https://stackoverflow.com/questions/63717253

            QUESTION

            Pickle module that imports code with C bindings
            Asked 2020-Mar-23 at 18:41

            I have a class I want to pickle using this function:

            ...

            ANSWER

            Answered 2020-Mar-23 at 18:41

            Unfortunately it looks like that pypolyagamma library you use doesn't currently support pickling/unpickling those objects, so in a word: you can't pickle them without modifying the library.

            Furthermore, since it wraps a C++ class, the pickler/unpickler isn't trivial; it'd need to know what state from that wrapped class is necessary for the object to be in the same state after unpickling.

            Source https://stackoverflow.com/questions/60819096

            QUESTION

            How do I find the highest amount of overlapping substrings in a line in python?
            Asked 2019-Dec-04 at 00:22

            I have the following string

            a = "AAWJBDJSDJBJSQQAAASDNDKSDKJSDKSJDDJKJSKJAAAAASKJDSJDKJSDKJDAAAAAAAA" The first thing I do is count the A's in the line:

            a.count("A") This works fine.

            The next thing I want to do is find the value of the longest overlapping "A". In this case it would be AAAAAAAA (8 times). So i want my output to be: The Longest polyA is 8

            Does anyone know how I can do this?

            ...

            ANSWER

            Answered 2019-Dec-03 at 23:51

            Best way to do this is with regular expressions:

            Source https://stackoverflow.com/questions/59166967

            QUESTION

            Segmentation fault in CGAL when intersecting polygons
            Asked 2018-Nov-20 at 11:38

            I'm writing a code where I need to calculate the overlapping area of two polygons very frequently (one always is a square, the other one is a simple but in general non-convex polygon). However, using CGAL for this, I occasionally encounter segmentation faults. The following code provides a minimal example. Note that as soon as one of the point coordinates is moved by 0.001, everything works fine.

            ...

            ANSWER

            Answered 2018-Nov-20 at 11:38

            If the first polygon is always convex (as most squares are) and you only care for the area of overlap, you can roll your own solution easily.

            Consider the support line of one of the sides of the first polygon. You will implement clipping against a half plane, let us assume bounded by x=0, WLOG.

            Create an empty output polygon. Then try all edges of the second polygon in turn. Assign every vertex the boolean condition x>=0. If the condition is different for both endpoints, append the intersection of the side with the axis x=0 to the new polygon; then if the condition is true for the final endpoint of the side, append it as well.

            In the end, you'll get a new polygon which is the clipped version of the original. In case the clipped polygon should be disconnected, the algorithm will produce a connected polygon with extra connecting sides along x=0. But as regards the computation of the area, this doesn't matter at all.

            Repeat with the four clipping sides and compute the area using the shoelace formula.

            Source https://stackoverflow.com/questions/53387602

            QUESTION

            Why am I getting a NullPointerException on this object?
            Asked 2018-Nov-06 at 20:51

            I have an object of type PolyaUrn called myUrn. I instantiate it and use some methods to manipulate it. Then, I get the int[] field of myUrn named ballCounts. I pass this int[] to a constructor to create a new object of type SimpleUrn, named su. However, when I try to call methods on su I get a NullPointerException. I am using the new keyword to create an object of type SimpleUrn and point to variable su. I don't understand why I can't reference su using the dereferencing operator .

            Code below:

            ...

            ANSWER

            Answered 2018-Nov-06 at 20:51

            You are shadowing ballCounts in the SimpleUrn constructor. Change this

            Source https://stackoverflow.com/questions/53179800

            QUESTION

            Polygon clipping - a little elaboration?
            Asked 2018-Jul-14 at 02:59

            I have been reading a lot about the sutherland hodgman polygon clipping algorithm and understand the general idea. However, when I see the actual implementation of it (like the one below), I get confused about the coordinate comparisons such as those in the intersection and inside methods. Therefore, I was wondering if someone could elaborate on what and why? I see a ton of videos and articles explaining the general concepts but I really have trouble finding some explanation of the actual details regarding the implementation.

            ...

            ANSWER

            Answered 2018-Jul-14 at 02:59

            You say you understand the general idea, presumably from reading something like Sutherland Hodgman Algorithm. That explains at a high level exactly what inside and intersection do.

            As to the details of how they achieve their objectives, that is all just straight up text book linear algebra.

            inside is testing the sign of (cp2 - cp2) cross (p - cp1) and returning true iff the sign is strictly greater than zero. You could rewrite the return statement as:

            Source https://stackoverflow.com/questions/51316046

            QUESTION

            Strange behavior when incrementally sampling using RcppArmadillo::sample
            Asked 2018-Jul-02 at 20:20

            I'm trying to implement some draws using a polya urn scheme using Rcpp. Basically, I have a matrix I'm drawing from, and a 2nd matrix with weights proportional to the probabilities. After each draw, I need to increase the weight of whichever cell I drew.

            I was running into some indexing errors which lead me to examine the sampling more generally, and I found that my weight matrix was getting modified by RcppArmadillo::sample. Two questions (1) is this behavior that I should have expected or is this a bug which I should report somewhere? (2) Any ideas on current work-around? Here's a reproducible example:

            ...

            ANSWER

            Answered 2018-Jul-02 at 20:20

            That is known and documented behaviour.

            You could do

            i) Use Rcpp::clone() to create a distinct copy of your SEXP (ie NumericMatrix).

            ii) Use an Armadillo matrix instead and pass as const arma::mat & m.

            There are architectural reasons having to do with the way R organizes its data structure which mean that we cannot give you fast access (no copies!) and also protect against writes.

            Source https://stackoverflow.com/questions/51143092

            QUESTION

            Plotting n columns of a data frame as lines with ggplot in r
            Asked 2018-May-18 at 13:02

            I am trying to recreate the Pólya urn model (https://en.wikipedia.org/wiki/Pólya_urn_model) in R, with ggplot. The model basically starts with 1 white and 1 black ball in an 'urn' and randomly chooses one ball and put it back together with a ball of the same color. I do this in R for lets say 10 iterations (so 10 times take out one ball and put it back together with another ball from the same color). And I run this say 5 times. Thus, i get a data frame of 5 columns (=for each run) and 10 rows (=for the iterations).

            What I want is to illustrate is this but then this picture has a lot more trials and iterations obviously.

            What I have so far is a data frame where each column is the fraction of white balls in the urn per trial/run and I would like to illustrate how the proportions changed for each iteration. And I want to show this separately for each run, so each run I would like to have in a different color.

            I have looked through countless similar questions but did not find an answer. I think it's because my data frame has now 5 columns but when i reshape it then I get only a single column of the proportions and next to each I get a code illustrating which column it belonged to - but in this case ggplot only draws one single line in 4 colors.

            ...

            ANSWER

            Answered 2018-May-18 at 11:59

            Using your df you can do something like that:

            Source https://stackoverflow.com/questions/50410524

            Community Discussions, Code Snippets contain sources that include Stack Exchange Network

            Vulnerabilities

            No vulnerabilities reported

            Install polya

            You can download it from GitHub.
            You can use polya like any standard Python library. You will need to make sure that you have a development environment consisting of a Python distribution including header files, a compiler, pip, and git installed. Make sure that your pip, setuptools, and wheel are up to date. When using pip it is generally recommended to install packages in a virtual environment to avoid changes to the system.

            Support

            For any new features, suggestions and bugs create an issue on GitHub. If you have any questions check and ask questions on community page Stack Overflow .
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