Learn · Randomized Methods in Complexity
Lecture 6 of 26Week 3
Lecture 6: ACC0 Lower Bounds Continued.
Prof. Nitin Saxena · IIT Kanpur
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- Randomized Methods in Complexity, IIT Kanpur (at NPTEL)
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All the lectures
- Lecture 1: Course Outline
- Lecture 2 Circuits and Polynomial Identity Testing
- Lecture 3: Derandomization and Lower Bounds
- Lecture 4: IP=PSPACE
- Lecture 5: ACC0 Lower Bounds
- Lecture 6: ACC0 Lower Bounds Continued.
- Lecture 7: Monotone Circuits
- Lecture 8: Monotone Circuit Lower Bound and Sunflower Lemma.
- Lecture 9: Undirected Graph Connectivity in randomized logspace.
- Lecture 10: Graph Expansion Properties.
- Lecture 11: Expanders
- Lecture 12: Error Reduction using Expanders
- Lecture 13: Ajtai-Komlos-Szemeredi Theorem
- Lecture 14: Explicit construction of expanders and Zig-Zag product
- Lecture 15: Spectral analysis of Zig-Zag product
- Lecture 16: Undirected Path in logspace
- Lecture 17: Explicit Prg to derandomizing classes
- Hardness vs Randomness.
- Hardness to NW-Generator to PRG
- Lecture 20: Partial derandomization from worst-case hardness of permanent
- Lecture 21: Error-correcting codes
- Lecture 22: Introduction to various linear explicit codes
- Lecture 23: Introduction of efficient decoding
- Lecture 24: Local decoding of WH, Reed-Muller and Concatenated codes
- Week 25: Introduction to List Decoding
- Lecture 26: Local List decoding of WH, RM