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himanshuvnm/README.md

🔬 Himanshu Singh

I am an AI Researcher with a background in pure and applied mathematics, scientific computing, and machine learning. My current research focuses on:

  • Mechanistic Interpretability of Transformer Models
  • Sparse and Efficient Neural Networks
  • Operator Learning (FNO, Neural Operators)
  • Foundation Models for Scientific and Physical Systems
  • Mathematical Foundations of Modern AI

My work bridges theory and practice, combining:

  • Optimization & information theory
  • Sparse representation learning
  • Probabilistic modeling
  • Large-scale deep learning systems

Current Interests

  • Alignment & interpretability of large language models
  • Reasoning and representation in foundation models
  • Efficient intelligence and sparse architectures
  • Scientific discovery with AI

Research Areas

  • Mechanistic Interpretability
  • Sparse Neural Networks
  • Neural Operators (FNO, PINNs)
  • Scientific Machine Learning
  • Probabilistic Modeling
  • High-dimensional Optimization

Selected Projects

  • Mechanistic AI Interpretability (Activation Patching, Circuit Tracing)
  • Learning Fourier Neural Operators
  • Sparse Neural Networks with Learned Masks
  • Kernel-based Operator Learning

Pinned Loading

  1. Generalized-Gaussian-Radial-Basis-Function-in-Artificial-Intelligence-MATLAB Generalized-Gaussian-Radial-Basis-Function-in-Artificial-Intelligence-MATLAB Public

    This is the recent work of my on the importance and application of mathematical function around its Hilbert function theory on artificial intelligence algorithms. The main motivation was the desire…

    MATLAB 2

  2. Mechanistic_Artificial_Intelligence_Interpretability Mechanistic_Artificial_Intelligence_Interpretability Public

    In this codebook, we perform real causal interpretability experiment and perform real mechanistic interpretability.

    Jupyter Notebook 1

  3. Foundation-Model-Large-Language-Model-FM-LLM Foundation-Model-Large-Language-Model-FM-LLM Public

    This repository was commited under the action of executing important tasks on which modern Generative AI concepts are laid on. In particular, we focussed on three coding actions of Large Language M…

    Jupyter Notebook 2 2

  4. Learning_Fourier_Neural_Operator Learning_Fourier_Neural_Operator Public

    We provide the action of the Fourier Neural Operator over the Burger's Equation with non-dimensional parameter value of the system as 10.

    Jupyter Notebook 1

  5. PyTorch-regime-for-Deep-Kolmogorov-Method-for-Heat-Equation PyTorch-regime-for-Deep-Kolmogorov-Method-for-Heat-Equation Public

    Here, we will provide a PyTorch regime to handle the partial differential equation solution of the heat equation by executing Deep Kolmogorov Method of Beck et. al.

    Jupyter Notebook 1