Latest Posts
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In a previous post, I proposed to study complex systems through a mereological lens by applying the Möbius inversion theorem. This has become my favourite theorem by now, because I think it allows you to do integration and differentiation on...
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In a recent paper, I proposed to study complex systems through a mereological lens by applying the Möbius inversion theorem. I also covered this in a recent blogpost. Here, I will collect some of the most important applications of Möbius...
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Have a look at these three rings: Why are they connected? If you only consider two of the rings and ignore the third, then any pair can be smoothly separated. The triplet is connected and cannot be taken apart, but...
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UPDATE: I have now found an explicit formula for the Möbius function on the redundancy lattice. This will appear in a preprint soon. I calculated the full Möbius function on the lattice of powerset antichains of 2, 3, and 4...
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In my PhD thesis, I developed a method and software package to infer interactions and cell states from gene expression data. Both the software and the research are now published! The software is called Stator, and comprises the Stator Nextflow...
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I was completely mesmerised by the swallows in Portugal, and while playing around with some origami paper, I came up with this simple design for an origami swallow. It is based on the famous ‘crane base’ (steps 1-7), and implements...
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Generative models, in particular energy-based models, are often used to sample from conditional distributions–a process known as inpainting. One of the most fundamental kinds of generative energy-based models is called a restricted Boltzmann machine (RBM), which is essentially a bipartite,...
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(This is an update on my Ethereum Protocol Fellowship. More updates can be found here ). Extracting value from Uniswap transactions In this post, I will outline a way in which the equilibrium analysis from the Open Game engine can...
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(This is an update on my Ethereum Protocol Fellowship. More updates can be found here ). Last week, I analysed the BigPlayer rule for cake-cutting using the Open Game engine, and found equilibria at proportional distributions for $n \in [2,...
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(This is an update on my Ethereum Protocol Fellowship. More updates can be found here ). Last week, I constructed an Open Game that described players sharing a pie using the ‘I cut you choose’ rule. The compositional rules and...
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(This is an update on my Ethereum Protocol Fellowship. More updates can be found here ). I wanted to make the pie sharing game compositional so that I could model an arbitrary number of players sharing the pie. I already...
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(This is an update on my Ethereum Protocol Fellowship. More updates can be found here ). As part of my fellowship at the Ethereum Foundatoin, I am modelling game theory using an aproach from category theory called Open Games. To...
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(This is an update on my Ethereum Protocol Fellowship. More updates can be found here ). Given sets $A$ and $B$, a function $f: A \to B$ can be ‘lifted’ to a lens $\mathcal{G}: {A \choose 1}\to {B\choose 1}$ by...
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(This is an update on my Ethereum Protocol Fellowship. More updates can be found here ). In order to get more familiar with the Open Game Engine, I wanted to implement a game myself. One of my favourite games is...
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(This is an update on my Ethereum Protocol Fellowship. More updates can be found here ). The Open Game engine compiles the DSL to Haskell. The DSL describes the externals (dangling wires) and internals (compositional structure) of an open game....
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(This is an update on my Ethereum Protocol Fellowship. More updates can be found here ). [2022.10.18] Initial note Initial idea: discuss the usage of the Open Game engine with Barnabé Monnot. A demo is presented from 3:51 on here....
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I have been granted an Ethereum Protocol Fellowship, which provides me with a mentor who can help me get started on a project related to the Ethereum system. In my case, I have been interested in compositional game theory for...
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UPDATE Feb 2021: Success! I will be presenting a poster at the conference this March. I have submitted the following abstract to the CSHL Network Biology conference which will take place in March. It represents the second half of my...
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There is this theory, mainly developed by David Deutsch at Oxford, called Constructor Theory. I tickles my brain in all the right ways; It’s a fundamental theory of reality, but not reductionistic in the way that other fundamental theories in...
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This is the first post in a series on dualities in statistics and machine learning. It's a good start because it's a simple and short example of the kind of dualities I like. It's not particularly useful, but shows how...
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Right, so I now have this page. It’s my personal webpage, blog, online CV, extended brain. I don’t know yet what will be on it, so I’m operating under the working-title Curiomics. The name is inspired by the trend in...
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