COCO-BBOB¶

Problem Difficulty Classification

BBOB (F1-F24)

Difficulty Mode	Training Set	Testing Set
easy	4, 6-14, 18-20, 22-24	1, 2, 3, 5, 15, 16, 17, 21
difficult	1, 2, 3, 5, 15, 16, 17, 21	4, 6-14, 18-20, 22-24

BBOB-Noisy (F101-F130)

Difficulty Mode	Training Set	Testing Set
easy	102-104, 106-114, 118, 121-124, 126-130	101, 105, 115-117, 119, 120, 125
difficult	101, 105, 115-117, 119, 120, 125	102-104, 106-114, 118, 121-124, 126-130

Note: When difficulty is ‘all’, both training and testing sets contain all problems in the suite.

The blackbox optimization benchmarking (bbob) test suite is COCO’s standard test suite with 24 noiseless, single-objective and scalable test functions. Each function is provided in dimensions (2, 3, 5, 10, 20, 40) and in 15 instances, however also available for arbitrary dimensions and number of instances. Links to their definition with visualizations are provided in the table.

1. Separable Functions¶

Indax	Name
f1	Sphere Function
f2	Separable Ellipsoidal Function
f3	Rastrigin Function
f4	Büche-Rastrigin Function
f5	Linear Slope

2. Functions with low or moderate conditioning¶

Index	Name
f6	Attractive Sector Function
f7	Step Ellipsoidal Function
f8	Rosenbrock Function, original
f9	Rosenbrock Function, rotated

3. Functions with high conditioning and unimodal¶

Index	Name
f10	Ellipsoidal Function
f11	Discus Function
f12	Bent Cigar Function
f13	Sharp Ridge Function
f14	Different Powers Function

4. Multi-modal functions with adequate global structure¶

Index	Name
f15	Rastrigin Function
f16	Weierstrass Function
f17	Schaffer's F7 Function
f18	Schaffer's F7 Function, moderately ill-conditioned
f19	Composite Griewank-Rosenbrock Function F8F2

5. Multi-modal functions with weak global structure¶

Index	Name
f20	Schwefel Function
f21	Gallagher's Gaussian 101-me Peaks Function
f22	Gallagher's Gaussian 21-hi Peaks Function
f23	Katsuura Function
f24	Lunacek bi-Rastrigin Function

Only f1 and f5 are purely convex quadratic (f1) or purely linear in the domain of interest [-5,5]D (f5).