# Jul 6, 2025

Daily

## Functions Are Vectors (2023)
- **Conceptualizing functions as infinite-dimensional vectors** allows the application of linear algebra techniques to diverse fields, including **image processing**, **curve fitting**, and **machine learning**.

## Building a Mac app with Claude code
- **Indragie Karunaratne's app, Context, was primarily developed using Claude Code, with less than 1,000 lines of code written manually out of 20,000, showcasing the potential of AI in software development.** This reflects a significant shift in how developers can leverage AI tools to enhance productivity and streamline the coding process.

## Optimizing Tool Selection for LLM Workflows with Differentiable Programming
- **Differentiable routing** in LLM workflows enhances efficiency by replacing traditional LLM calls for tool selection with a trainable function, significantly reducing **latency, cost, and token overhead**.

## Overclocking LLM Reasoning: Monitoring and Controlling LLM Thinking Path Lengths
- **Overclocking LLMs enhances reasoning efficiency** by regulating the length of the thinking phase, leading to improved accuracy and reduced inference latency through a novel interactive progress bar visualization.

## An analytic theory of creativity in convolutional diffusion models.
- This study presents an **analytic theory of creativity** in convolutional diffusion models, revealing that **locality and equivariance** induce combinatorial creativity, allowing models to generate original images beyond mere memorization of training data.