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Toooold

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Latest posts

Last updated about 10 hours ago

Can an LLM Formally Verify Your Code? A Feasibility Study

about 17 hours ago

May 2026 · ML/security research When a language model tells you “this...

The Blessing of Dimensionality: How TurboQuant Uses the JL Lemma to Compress KV Caches with Zero Bias

about 1 month ago

If you are running local LLMs, you already know the bottleneck isn’t...

Mozart rolls a dice to Bach and Ramanujan

about 2 months ago

The Elegance of Mozart’s Attention Mechanism In 1792, Mozart’s Musikalisches Würfelspiel (Musical...

The Least Action Nature of AdvJudge-Zero: A Lagrangian Perspective on LLM Steering

3 months ago

In December 2025, Tony, Yuhao, and I have published AdvJudge-Zero: Binary Decision...

The Mechanism of Logit Gap Steering: A Unified View of Prompts, Vectors, and Low-Rank Adaptation

3 months ago

It has been a few months since my colleague Tony and I...

LLM as My Pair Researcher: Prover–Validator Collaboration and the Road to Logit-Gap Steering

4 months ago

Research is a deeply personal and tailored process; it’s not something that...

The Physics of mHC: Why Deep Learning Needs Energy Conservation

4 months ago

When I first read the Manifold-Constrained Hyper-Connections (mHC) paper https://www.arxiv.org/abs/2512.24880 , I...

The Mathematics of Baby Shower Games: Solomonoff Inference in Action

over 1 year ago

Last weekend, I found myself applying data science in an unexpected setting...

The missing knowledge snippets of AI

over 1 year ago

It is a live blog post of some knowledge snippets of AI...

Building a Lightweight Financial Agent: A Flexible Approach to Tool Use and Orchestration

over 1 year ago

In the rapidly evolving field of AI agents, there’s a growing trend...

Agentic Systems: Snake Oil or the Future of AI?

over 1 year ago

The short answer: it’s more nuanced—agentic systems have potential, but only if...

Those Magnificent underdogs competing ChatGPT

about 3 years ago

Disclaimer: the open source community and the AI community evolve so fast...