Spartcus

Spartacus program to generate datasets according to given constraints. Output sets in the form of spreadsheets can be used with machine learning algorithms (mostly mathematican programming models). The project is written using .Net Core and .Net Standard.

Sample output

The sets are in the form of a list of points in the N-dimensional space (X1-XN) together with a column representing the result (Y) that defines whether the point meets the restrictions.

X1	X2	X3	Y
10	15	12	0
0	8	6	1
2	-8	12	0

Table: Sample output xlsx datasheet without extensions

X1	X2	X3	X1+X2	X1+X3	X2+X3	Y
10	15	12	25	22	27	0
0	8	6	8	6	14	1
2	-8	12	-6	14	4	0

Table: Sample output xlsx datasheet with enable linear extension (--linear true)

X1	X2	X3	X1*X1	X1*X2	X1*X3	X2*X2	X2*X3	X3*X3	Y
10	15	12	100	150	120	225	180	144	0
0	8	6	0	0	0	64	48	36	1
2	-8	12	4	-16	24	64	96	144	0

Table: Sample output xlsx datasheet with enable quadratic extension (--quadratic true)

Available predefined benchmarks:

• Cube
• Ball
• Simplex

Rules for generating points

Image: Benchmark formulated as MP models

Available parameters

Paramater	Description	Sample used	Required
--points	Number of points to generate	--points 5000	Yes
--outputpath	Path to storage generated data	--outputpath C:\Desktop	No (def: UserDirectory)
--output	File name (without extension)	--output cube2n	Yes
--sheets	List of sheets in generated file	--sheets dataset1 dataset2	No
--linear	Generate additional columns with linear dependencies	--l true	No
--quadratic	Generate additional columns with quadratic dependencies	--q false	No
--seed	Seed for MersenneTwister	--seed 123	No

Table: Common parameters for all benchamarks

Paramater	Description	Sample used	Required
--constant	Parameter used to bound variables (d in formulas)	--constant 5	No (def: 2.7)
--dimensions	Number of dimensions	--diemnsions 2	No (def: 2)

Table: Parameters only for Cube and Simplex

Paramater	Description	Sample used	Required
--radius	Radius of ball	--radius 5	No (def: 2.7)
--center	Center of ball (affects the number of dimensions -> X1, X2, X3 etc)	--center 1 2 3	Yes

Table: Parameters only for Ball

How to use

Run build.cmd.

Samples

Contribution

Feel free to make pull request and add something or just create issue with question / suggestion for improvement / report bug.