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Algo Zoo (WIP)

Early this year, Jacob Hilton from Alignment Research Center (ARC) posted about the problem that his team had been tackling, primarily around really mechanistically understanding small ($<$ 1,50...

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Patterning (WIP)

I recently came across this paper by George Wang and Daniel Murfet at Timeaus that introduces the idea of “patterning” as the “dual problem” to mechanistic interpretability - i.e. if mech interp is...

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Complexity Series (2 / 3) - Carry-Over Circuits

This is the second installment of the “Complexity Series,” where I endeavor to argue that there are certain classes of problems (simple arithmetic being one of them) that Transformer architectures ...

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Complexity Series (1 / 3) - LLM Arithmetic ⭐

This is the first installment of the “Complexity Series”, where I endeavor to argue that there are certain classes of problems (simple arithmetic being one of them) that Transformer architectures w...

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Multi-Layer Latent Space Visualization

In MLPs, What Input Gives What Output? If you had a series of MLP (nn.Linear) layers chained together, you may like to answer the question: if I wanted the final layer outputs’ first element (call...

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ICA vs SAEs ⭐

Thinking about how Sparse Auto-encoders (SAEs) aim to learn a sparse over-complete basis (where you are trying to triangulate a larger number of sources than you have signals; e.g. you only have 8 ...

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Thoughts on Hidden Structure in MLP Space

After deep-diving into why SAEs succeed at retrieving superposed features, what their limitations are, and closely inspecting the hidden technical implementations of the sae_lens library, I just wa...

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Feature Splitting & Feature Absorption

My previous blogpost gives a very clear visualization of how the latents of simple ReLU networks look like, how to interpret them, and a good description of optimization pressures that force them i...

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Optimization Failure ⭐

In my previous post, “Superposition - An Actual Image of Latent Spaces”, I illustrate how the parameters of a toy ReLU auto-encoder ($W$, $b$, and $\text{ReLU}$), work together to allow models repr...

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Superposition - An Actual View of Latent Spaces ⭐ ⭐

This post is the prequel of the next post, “Optimization Failure”, where I investigate how, even in cases where perfectly symmetric, ideal weight configurations exist, ReLU toy models (following An...

Length Insight