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Neural Networks from Maximizing Rate Reduction

While we have witnessed much empirical evidence of the success of deep learning, much of it is due to trial and error and not guided by underlying mathematical principles. I attended Yi Ma's keynote on "Pursuing the Nature of Intelligence" at ICLR this year, which took on a statistical lens towards urging the community to view model training as learning to do compression. I was especially struck…

An Intuitive Introduction to Gaussian Processes

Deep learning is currently dominated by parametric models, which are models with a fixed number of parameters regardless of the size of the training dataset. Examples include linear regression models and neural networks. However, it's good to occasionally take a step back and remember that that is not all there is. Non-parametric models like k-NN, decision trees, or kernel density estimation don't…

Bounding Mixing Times of Markov Chains via the Spectral Gap

An aperiodic and irreducible Markov chain will eventually converge to a stationary distribution. This is used in many applications in machine learning like Markov Chain Monte Carlo (MCMC) methods, where random walks on Markov chains are used to obtain a good estimate of the log likelihood of the partition function of a model, which is hard to compute directly as it is #P-hard (this is even harder…

Notes on ‘The Llama 3 Herd of Models’

Notes on the new Llama 3.1 technical report. It's a long paper, but one that's well-written with lots of interesting technical details and design choices.

Playing Sound Voltex at Home: Setting Up Unnamed SDVX Clone with the Yuancon SDVX Controller

Rhythm is just a $200 controller and some hopefully-not-too-complicated open source software setup away! This beginner's guide will help to demystify the process of setting up Sound Voltex at home using a custom SDVX controller using Unnamed SDVX Clone.

Creating Trackback Requests for Static Sites

A simple guide on creating manual Trackback requests for static sites to increase visibility and discoverability

A Unified Framework for High-Dimensional Analysis of M-Estimators with Decomposable Regularizers: A Guided Walkthrough

Imagine doing high-dimensional statistical inference, but instead of repeatedly studying different settings with specific low-dimensional constraints (such as linear regression with sparsity constraints, or estimation of structured covariance matrices), there is a method for performing a unified analysis using appropriate notions. Well, you're in luck! 'A Unified Framework for High-Dimensional…

The CMU Steam Tunnels and Wean 9

If you're curious about the infamous steam tunnels at CMU, or what the views from the roof of Wean Hall looks like, this post is for you!

CMU 15712 Advanced Operating Systems and Distributed Systems Course Review

15-712 Advanced OS was an excellent seminar-based graduate course that took us on a whirlwind tour through many of the most seminal SigOps Hall of Fame papers across several systems domains. It will prepare you to be a great systems designer and researcher. In this post, I will share my experience in the class, the course structure and content, what I thought were the biggest takeaways, and who…

Score-Based Diffusion Models

Score-based diffusion models are a promising direction for generative models, as they improve on both likelihood-based approaches like variational autoencoders, as well as adversarial methods like Generative Adversarial Networks (GANs). In this blog post, we survey recent developments in the field centered around the line of results developed in (Song & Ermon, 2019), analyze the current strengths…