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Abstract This article is about how to use LLMs as an approximate joint probability distribution over tokens rather than as an expert system.
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Introduction Before deep learning was a thing, if you had \(N\) vectors, and you wanted to match the closest one to some noisy version you would use kNN (\(k\) nearest neighbour).
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Implementation code is available here.
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Snakes & ladders is a classic board game, originally imported into the United Kingdom from India circa 1890 according to Wikipedia.
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Introduction The pyevidence repository, installation and usage examples are available here.
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Here is an interesting scheme I encountered in the wild, generalised and made abstract for you, my intrepid reader.
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Here are a few practical questions of my own invention which are easy to comprehend but very difficult to solve without statistical reasoning competence.
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Summary I present a weak supervision paradigm called “data programming” which uses maximum likelihood estimation to produce soft labels from heuristics.
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SUMMARY I use 500 Hacker News (HN) titles and an LLM to derive an article ranking model from a user supplied preference description.
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INTRODUCTION This post is about sizing independent simultaneous bets through methods related to the Kelly criterion.
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A basic application of linear methods are linear regression models.
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I read this paper a while ago, which sets out the problem of linear metric learning nicely.
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SUMMARY I tackle 1BRC in Fortran which requires processing 1B rows of weather station data (~15GB) to obtain min/max/mean for each station as quickly, as you can muster.
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Here are some Advent of Code solutions: 2023 (Prolog) 2022 (Haskell) 2021 (Python & Scala) (in progress at the time of writing).
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INTRODUCTION [If you want to have a go straight away, jump to the examples at the bottom of this post.]
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What follows are some notes about a minimal proof-of-concept for a stochastic simulator in Prolog via a meta-interpreter.
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INTRODUCTION Gentle reader, permit me to try and convince you that data analysis is better with logic programming.
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Summary Some notes about the construction of a Block Dominoe playing algorithm for a hidden information variant of the game.
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SUMMARY I parse HackerNews (HN) “Ask HN: Who is hiring?”
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Introduction I happened upon a post by Gwern discussing, in some detail, various solutions to riddle #14 from Nigel Coldwell’s list of quant riddles.
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Introduction I had recently started going to a new specialist gym that runs 3 classes per day during the working week and is closed the rest of the time.
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Summary I explain blocking, optimal design and covariate adjustment as methods to improve power in design of experiments.
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Summary I motivate clustering as a problem well suited to logic programming in the general case, and I volunteer a couple artisanal clustering algorithms in Prolog demonstrated on some mock data.
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Summary I demonstrate a widely applicable pattern which integrates Prolog as a critical component in a data science analysis.
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Introduction I often work with clients who have large “data lakes” or big star schema style enterprise databases with fact and dimension tables as far as the eye can see.
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Introduction “Data science” has a handful of fundamental metaphors for problem solving, few moreso versatile than the “point cloud”.
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SUMMARY I show how assumptions about price structure can be used to build a compelling fixed effect (deterministic) price imputation model for the UK residential housing market.
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SUMMARY I use lichess.org games data to investigate the extent to which fast thinking is the dominant factor affecting game outcomes at any time control.
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I spent about 50 hours making things with a language called J.
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INTRODUCTION The crux with IQ – so far as I understand it – is that performance across abstract reasoning tasks is correlated no matter what the tasks are.