Enter the Matrix

on YouTube ↗40m

" summary

core.matrix provides an n‑dimensional array API for Clojure with broadcasting, slices, transpose, matrix multiply and higher‑order array ops, pluggable backends and optional mutability for performance. Implementations include persistent vectors, an NDArray view like NumPy, and native BLAS via clatrix uses BLAS. Protocols enable open extension with protocol dispatch nearly as fast as direct calls. Demo builds PageRank with one matrix multiply per step and shows steady state convergence and a practical 4x speedup from controlled mutability.

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" chapters (41)

1. 0:00Intro
2. 1:19Plug-in paradigms
3. 2:27Modern array programming
4. 3:02Why Clojure for array programming?
5. 4:18Abstraction
6. 6:04Multi-dimensional array properties
7. 6:41Arrays = data about relationships
8. 7:31Why arrays instead of functions?
9. 8:59Expressivity
10. 10:05Principle of array programming
11. 10:33Equivalence to Clojure vectors
12. 11:50Scalars vs. arrays
13. 12:11Indexed element access
14. 12:23Slicing access
15. 13:05Arrays as a composition of slices
16. 14:54Broadcasting scalars
17. 15:26Broadcasting arrays
18. 15:47Functional operations on sequences
19. 16:53Specialised matrix constructors
20. 17:12Array transformations
21. 17:43Matrix multiplication
22. 18:14Geometry
23. 19:02Demo
24. 26:02Mutability?
25. 26:23Mutability - the tradeoffs
26. 26:58Mutability - performance benefit
27. 27:24Mutability - syntax
28. 28:50Lots of trade-offs
29. 29:21What's the best data structure?
30. 30:56Secret weapon time!
31. 31:10Clojure Protocols
32. 31:48Protocols are fast and open
33. 32:23Typical core.matrix call path
34. 33:03Most protocols are optional
35. 33:46Default implementations
36. 34:26Extending a protocol
37. 34:57Speedup vs. default implementation
38. 35:30Internal Implementations
39. 36:32External Implementations
40. 37:34Switching implementations
41. 38:33Future roadmap

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