PolyMath: version 1.0 -> v2.0

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PolyMath: version 1.0 -> v2.0 Oleksandr Zaitsev, Sebastian Jordan Montaño, Serge Stinckwich, Hemal Varambhia, etc. ESUG 2022

Software

2
PolyMath is a library for

scientific computing in Pharo.
(it’s a math library)
In a nutshell:

3
On ESUG 2019 in Cologne,

Serge Stinckwich presented PolyMath v1.0

6
1. Remind you what is PolyMath

2. Discuss what lies ahead

3. Tell you how to support us
So today we will:

9
Contributors (between v1.0 and now)
Serge
 
Stinckwich
Hemal
 
Varambhia
Oleksandr
 
Zaitsev
Yvan
 
Guifo
Sebastian
 
Jordan Montaño
Hernan
 
Moralez Durand
Rakshit

SVD
10
Some Packages & Algorithms
Complex

Numbers
Probability
Distributions
Kolmogorov
Smirnov
Matrix
Decomposition
Dimensionality
Reduction
Differential
 
Equations
Quaternion
Statistics
Polynomials
Numerical
Methods
Matrix-Vector
Algebra
Numerical
Optimisation
DataFrame

11
Getting Started with PolyMath
Metacello new
repository: 'github://PolyMathOrg/PolyMath';
baseline: 'PolyMath';
load.

12
Two Data Structures
Vector Matrix
vector := PMVector withAll:
#(1 4 3 -1).
matrix := PMMatrix rows: #(
(1 0 0)
(0 1 0)
(0 0 1)).

14
Dimensionality Reduction with PCA
- Used in machine learning, statistics to solve the
dimensionality curse.

- Dimensionality reduction approach that perform a
linear mapping of the data to a lower-dimensional
space, in such a way that the variance of the data in
low-dimensional representation is maximised.

17
Dimensionality Reduction with PCA
Visualised
with Roassal3
❤

21
PolyMath Book
“Object-Oriented
Implementation of Numerical
Methods. An Introduction with
Java and Smalltalk”
 
by Didier B. Besset

24
Goal 2: Making PolyMath Faster
Time in seconds (less is better)
Small
Medium
Pure Pharo vs Pharo & LAPACK
1820 times faster
2103 times faster
Pharo Pharo & LAPACK
19min40sec 1h44min
0.6sec 2.9sec
Help

25
Goal 3: More Integration with pharo-ai
LAPACK SciPy scikit-learn
pharo-ai
PolyMath
LAPACK
Pharo
Python
Fast
Algebra
Math
Machine
Learning

34
Sponsor our work
https://github.com/
sponsors/SergeStinckwich

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PolyMath: version 1.0 -> v2.0

1. version 1.0 v2.0 Oleksandr Zaitsev, Sebastian Jordan Montaño, Serge Stinckwich, Hemal Varambhia, etc.

2. 2 PolyMath is a library for scientific computing in Pharo. (it’s a math library) In a nutshell:

3. 3 On ESUG 2019 in Cologne, Serge Stinckwich presented PolyMath v1.0

4. Time flies :) 2019 2020 2021 2022 …

5. 5 Now we are here

6. 6 1. Remind you what is PolyMath 2. Discuss what lies ahead 3. Tell you how to support us So today we will:

7. Part 1: PolyMath - Who are we?

8. 8 We are not mathematicians

9. 9 Contributors (between v1.0 and now) Serge   Stinckwich Hemal   Varambhia Oleksandr   Zaitsev Yvan   Guifo Sebastian   Jordan Montaño Hernan   Moralez Durand Rakshit

10. SVD 10 Some Packages & Algorithms Complex Numbers Probability Distributions Kolmogorov Smirnov Matrix Decomposition Dimensionality Reduction Differential   Equations Quaternion Statistics Polynomials Numerical Methods Matrix-Vector Algebra Numerical Optimisation DataFrame

11. 11 Getting Started with PolyMath Metacello new repository: 'github://PolyMathOrg/PolyMath'; baseline: 'PolyMath'; load.

12. 12 Two Data Structures Vector Matrix vector := PMVector withAll: #(1 4 3 -1). matrix := PMMatrix rows: #( (1 0 0) (0 1 0) (0 0 1)).

13. 13 Dimensionality Reduction with PCA

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15. 15 Dimensionality Reduction with PCA

16. 16 Dimensionality Reduction with PCA

17. 17 Dimensionality Reduction with PCA Visualised with Roassal3 ❤

18. 18 DataFrame

19. 19 DataFrame

20. 20 DataFrame

21. 21 PolyMath Book “Object-Oriented Implementation of Numerical Methods. An Introduction with Java and Smalltalk”   by Didier B. Besset

22. Part 2: The future

23. 23 Goal 1: Decoupling Packages

24. 24 Goal 2: Making PolyMath Faster Time in seconds (less is better) Small Medium Pure Pharo vs Pharo & LAPACK 1820 times faster 2103 times faster Pharo Pharo & LAPACK 19min40sec 1h44min 0.6sec 2.9sec Help

25. 25 Goal 3: More Integration with pharo-ai LAPACK SciPy scikit-learn pharo-ai PolyMath LAPACK Pharo Python Fast Algebra Math Machine Learning

26. 26 Goal 4: Document Using Microdown ❤

27. 27 Goal 4: Document Using Microdown ❤

28. 28 Goal 5: Roassal Charting

29. 29 Goal 5: Roassal Charting

30. Goal 6: Notebooks 30

31. Goal 6: Notebooks 31

32. Part 3: How to support us

33. 33 Contribute!

34. 34 Sponsor our work https://github.com/ sponsors/SergeStinckwich