Ajinkya Kiran Mulay

The Pursuits

Notes on sparse recovery, Transformer optimization, AI safety, and verifiable systems. I build methods whose evidence can be inspected, including the negative results.

SVD-OMP: training-free parameter decomposition

Use the orthogonal SVD basis, select input-specific components with OMP, and compare against trained decomposition methods without hiding the unsupported causal claims.

What tools should you use?

An evolving list of free and open-source tools for research, writing, and focused work.

  1. Sparse recovery

    OMP, FoBa, CoSaMP, and the question of how a system corrects a bad support choice.

  2. Optimization

    Muon-family methods, polar maps, architecture-aware routing, and honest wall-clock gates.

  3. AI safety

    Behavioral evaluations and model-internal signals with explicit validity limits.

  4. Verifiable systems

    Let models search broadly, then require executable evidence or an independent validator.

Why this name?

Pursuit algorithms commit to a support, test it against the residual, and revise when the evidence says they chose wrong. That is also how I want to do research.