JAX Vectorization & Control Flow

vmap, scan, while_loop, fori_loop, cond, switch — JAX's primitives for batching and control flow.

1. 1. ○ vmap with in_axes
2. 2. ○ vmap with out_axes
3. 3. ○ vmap with None broadcasting
4. 4. ○ Nested vmap (vmap-of-vmap)
5. 5. ○ Cumulative Sum via lax.scan
6. 6. ○ Running Mean via lax.scan
7. 7. ○ Scan over Layer Stack
8. 8. ○ Training Loop via lax.scan
9. 9. ○ Scan with Per-Step Outputs
10. 10. ○ Newton's Method via lax.while_loop
11. 11. ○ Bounded Search via lax.while_loop
12. 12. ○ lax.while_loop vs Python while
13. 13. ○ x^n via lax.fori_loop
14. 14. ○ fori vs scan vs while
15. 15. ○ Binary Classification via lax.cond
16. 16. ○ Multi-Branch Dispatch via lax.switch
17. 17. ○ vmap over lax.cond
18. 18. ○ vmap over lax.scan
19. 19. ○ jit of scan
20. 20. ○ vmap-cond vs where: cost tradeoff
21. 21. ○ Dynamic Slice
22. 22. ○ Dynamic Update Slice
23. 23. ○ Associative Scan (Parallel Cumsum)
24. 24. ○ lax.scan with reverse=True
25. 25. ○ lax.map vs vmap