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Table 4 Memory usage in GB for the computations summarized in Table  3

From: A roadmap for the computation of persistent homology

Data set

(a) Computations on cluster

eleg

Klein

HIV

drag 2

random

genome

Size of complex

4.4 × 106

1.1 × 107

2.1 × 108

1.3 × 109

3.1 × 109

4.5 × 108

Max. dim.

2

2

2

2

8

2

javaPlex (st)

<5

<15

>64

>64

>64

>64

Dionysus (st)

1.3

11.6

-

-

-

-

DIPHA (st)

0.1

0.2

2.7

4.9

-

4.8

Perseus

5.1

12.7

-

-

-

-

Dionysus (d)

0.5

1.1

-

-

-

-

DIPHA (d)

0.1

0.2

1.8

13.8

9.6

6.3

Gudhi

0.2

0.5

8.5

62.8

-

21.5

Ripser

0.007

0.02

0.06

0.2

24.7

0.07

Data set

(b) Computations on shared-memory system

eleg

Klein

HIV

drag 2

genome

fract r

Size of complex

3.2 × 108

1.1 × 107

2.1 × 108

1.3 × 109

4.5 × 108

2.8 × 109

Max. dim.

3

2

2

2

2

3

javaPlex (st)

<600

<15

<700

>700

<700

>700

Perseus

-

11.7

-

-

-

-

Dionysus (d)

-

1.1

16.8

134.2

-

268.5

DIPHA (d)

31.2

0.9

17.7

109.5

37.3

276.1

Gudhi

15.4

0.5

10.2

62.8

21.4

134.8

Ripser

0.2

0.03

0.07

0.2

0.07

155

  1. For javaPlex, we indicate the value of the maximum heap size that was sufficient to perform the computation. The value that we give is an upper bound to the memory usage. For DIPHA, we indicate the maximum memory used by a single core (considering all cores). See Table 3 for details on the number of cores used.
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