#DEFINE HYPERCUBE GENERATOR#

The idea behind one-dimensional latin hypercube sampling is simple: Divide a given CDF into n different regions and randomly choose one value from each region to obtain a sample of size n. However, if we used latin hypercube sampling to obtain this sample then it would be guaranteed that one value would be above 0 and one would be below 0 because we could specifically partition the sample space into one region with values above 0 and one region with values below 0, then select a random sample from each region.

#DEFINE HYPERCUBE GENERATOR#

If we used a true random number generator to obtain this sample, it’s possible that both values could be greater than 0 or that both values could be less than 0. Suppose we’d like to obtain a sample of 2 values from a dataset that is normally distributed with a mean of 0 and a standard deviation of 1. To wrap your head around the idea of latin hypercube sampling, consider the following simple example: It is widely used to generate samples that are known as controlled random samples and is often applied in Monte Carlo analysis because it can dramatically reduce the number of simulations needed to achieve accurate results. Using static data, passed in by the cellData argument, or by using cellFn.Latin hypercube sampling is a method that can be used to sample random numbers in which samples are distributed evenly over a sample space. The table can be generated in one of two ways: It returns an HTML table element that can be freely embedded in the DOM. rearrangeable: an optional boolean argument indicating whether argument reordering and row-column swapping is.tableOpts: An optional object specifying the attributes-e.g., class, style, handlers-of the table element created.Returns a String or an HTML element.ĭefaults to _.identity. fmtfn: An optional function which formats the contents of the cells.The list of input arguments, formatted as per cellFn.cellOptsFn: An optional function which is used to specify the attributes for each table cell.Takes an object as argument, with its keys being the cellFn: Used to generate the contents of the table's cells.Takes a list of objects formatted as follows: cellData: Used to supply static data to multiDim.colArgs: a list of argument objects which will define the columns of the table.Each element in the list should haveĪ name field and a values field. rowArgs: a list of argument objects which will define the rows of the table.This function takes as its sole argument an object containing the To build a table, call the multiDim function. Hypercube-js is dependent on JQuery, Underscore, and Reactive coffee. Hypercube-js is currently available through Bower: Hypercube-js simplifies that task, and does the hard work for you. Attempting to layout higher dimensional tables is a tedious and difficult task. Unfortunately, even two dimensional tables are difficult enough to work with in HTML, embedded as they are in a one dimensional tree structure. Two genes, e.g., whether a pea is green or yellow, and whether it is round or wrinkled:

A simple example is a Punnett square comparing This can alternatively be thought of as building a table of tables. Given the values of all the parameters above it. It does so by using multiple levels of headers, with each level representing the value of a parameter Multi-dimensional tables work along a similar principle, however, they allow the user to embed more than two variables Showing whether a pea is round or wrinkled: Two-dimensional table would be the Punnett square, which map a gene's genotypes to its phenotypes, such as here, The value of an individual cell in the table can then be thought ofĪs the result of calling a 2-ary function, using its row and column position as inputs. While those of the other is used to define the rows. The values for one of these variables is used to define the columns, Variables, with a finite set of values for each. Multi-dimensional tables are an extension of two dimensional tables.

This project is still in the very early stages ofĭevelopment, and likely to change substantially. The layout necessary to embed a higher dimensional table in the DOM. Hypercube JS is a package to facilitate building multi-dimensional tables in Javascript, by automatically computing

Define hypercube