A technical publication by Shivam Pandey

IMMORTAL
MACHINE

Notes on machines that learn useful models of the world—and the objectives, representations, actions, and systems that determine what persists.

EssaysExperimentsImplementationsResearch series

Editorial position

Show the mechanism.
Keep the uncertainty.

Immortal Machine is where the ideas go deep. Each piece should expose the chain from question to formulation to implementation to evidence. It is not a second personal portfolio; it is the publication layer of the same research practice.

Mathematical Foundations

The calculus
behind the computation.

Reference notes on derivatives, integrals, and the tensor operators connecting mathematical structure to learning systems.

  1. 01Calculus: Integrals, Derivatives and Tensor Operators

Archive 001

KERNELIZED

Six notes tracing AI kernels from derivation to parallel structure.

  1. 01Max Kernel: Forward and Backward Pass (MATH)
  2. 02SoftMax Kernel: Forward and Backward Pass (MATH)
  3. 03FlashAttention Kernel: Forward Pass (MATH)
  4. 04FlashAttention Kernel: Backward Pass (MATH)
  5. 05FlashAttention Kernel: Forward Pass (Parallelism)
  6. 06FlashAttention Kernel: Backward Pass (Parallelism)