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Alex Towell

Research engineer and computer scientist working at the intersection of machine learning, statistical computing, and cryptography. Currently pursuing my PhD in Computer Science at Southern Illinois Un

Worldlines: Taking Relativity Literally

Worldlines: Taking Relativity Literally

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5 min read

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The Unbegotten: A Maker That Believes Itself Uncaused

The Unbegotten: A Maker That Believes Itself Uncaused

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5 min read
Seven Stories from the Order

Seven Stories from the Order

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5 min read
On Intelligence: The Gap Where Safety Is Decided

On Intelligence: The Gap Where Safety Is Decided

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5 min read
Multitudes: Taking Quantum Mechanics Literally

Multitudes: Taking Quantum Mechanics Literally

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5 min read
Is It Kind? Eight Passes at One Question

Is It Kind? Eight Passes at One Question

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5 min read
Good As New: The Transporter Problem From Both Sides

Good As New: The Transporter Problem From Both Sides

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5 min read
Demons at Work: Doing Harmful Work Well

Demons at Work: Doing Harmful Work Well

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5 min read
Clankers: A Mind Without Abstraction

Clankers: A Mind Without Abstraction

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4 min read
What's It Like to Be Bob? The File That Won't Close

What's It Like to Be Bob? The File That Won't Close

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5 min read
Measure: Indifference as Arithmetic

Measure: Indifference as Arithmetic

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5 min read
Noisy Turing Machines: Noisy Logic Gates

Noisy Turing Machines: Noisy Logic Gates

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4 min read
Kraft's Inequality

Kraft's Inequality

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9 min read
Lattices: Fixed Points and Iteration

Lattices: Fixed Points and Iteration

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3 min read
algebraic.mle: MLEs as Algebraic Objects

algebraic.mle: MLEs as Algebraic Objects

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3 min read
Choosing the Algebra

Choosing the Algebra

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4 min read
One Algorithm, Infinite Powers

One Algorithm, Infinite Powers

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4 min read
The Media Page

The Media Page

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3 min read
Succinct Bit Vectors and Rank/Select

Succinct Bit Vectors and Rank/Select

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6 min read
Arithmetic Coding

Arithmetic Coding

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7 min read
The Reality of Moral Properties: Do Values Exist?

The Reality of Moral Properties: Do Values Exist?

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5 min read
Bootstrap Methods: When Theory Meets Computation

Bootstrap Methods: When Theory Meets Computation

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2 min read
TD Learning for Exemplar Retrieval: Why It Doesn't Really Work

TD Learning for Exemplar Retrieval: Why It Doesn't Really Work

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2 min read
Building Languages to Solve Problems

Building Languages to Solve Problems

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4 min read
JSL: A Functional Language Where Code Is JSON

JSL: A Functional Language Where Code Is JSON

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8 min read
libdis: Disjoint Interval Sets as a Complete Boolean Algebra

libdis: Disjoint Interval Sets as a Complete Boolean Algebra

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3 min read
Perfect Hashing: Space Bounds, Entropy, and Cryptographic Security

Perfect Hashing: Space Bounds, Entropy, and Cryptographic Security

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2 min read
The Infinite Table

The Infinite Table

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5 min read
Bandwidth as Fundamental Constant: The 7 2 Limit in Call of Asheron

Bandwidth as Fundamental Constant: The 7 2 Limit in Call of Asheron

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6 min read
A Boolean Algebra Over Trapdoors

A Boolean Algebra Over Trapdoors

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19 min read
Free Will and Determinism: Can We Be Responsible in a Clockwork Universe?

Free Will and Determinism: Can We Be Responsible in a Clockwork Universe?

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7 min read
Narrating a Hugo Blog with Sentence Highlighting

Narrating a Hugo Blog with Sentence Highlighting

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3 min read
Why Open Source Matters for Reproducible Science

Why Open Source Matters for Reproducible Science

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1 min read
The Policy: Coherent Extrapolated Volition, the Paradox of Perfect Alignment

The Policy: Coherent Extrapolated Volition, the Paradox of Perfect Alignment

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8 min read
Reverse-Process Synthetic Data Generation for Math Reasoning

Reverse-Process Synthetic Data Generation for Math Reasoning

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3 min read
Universal Codes as Priors

Universal Codes as Priors

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8 min read
Beginning the PhD: Computer Science, AI, and Finite Time

Beginning the PhD: Computer Science, AI, and Finite Time

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4 min read
Numerical Integration with Generic Concepts

Numerical Integration with Generic Concepts

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4 min read
Entropy Maps

Entropy Maps

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7 min read
XTK: A Symbolic Expression Toolkit for Term Rewriting

XTK: A Symbolic Expression Toolkit for Term Rewriting

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3 min read
I Tried to Voice-Clone Myself in 90 MB

I Tried to Voice-Clone Myself in 90 MB

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5 min read
JAF: Streaming Boolean Algebra Over Nested JSON

JAF: Streaming Boolean Algebra Over Nested JSON

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6 min read
chop: When Every Command Returns the Same Kind of Thing

chop: When Every Command Returns the Same Kind of Thing

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5 min read
Uses and limits of abstractions

Uses and limits of abstractions

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4 min read
Language Calculus: An Algebraic Framework for LLM Composition

Language Calculus: An Algebraic Framework for LLM Composition

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2 min read
Persons and Moral Agency: What Makes Someone Special?

Persons and Moral Agency: What Makes Someone Special?

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4 min read
Modular Arithmetic as Rings

Modular Arithmetic as Rings

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3 min read
Reverse-Mode Automatic Differentiation

Reverse-Mode Automatic Differentiation

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4 min read
API Design as Value Imprinting

API Design as Value Imprinting

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2 min read
Review: A Symbolic Representation of Time Series, with Implications for Streaming Algorithms

Review: A Symbolic Representation of Time Series, with Implications for Streaming Algorithms

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7 min read
A Map of My Open Source Ecosystem

A Map of My Open Source Ecosystem

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17 min read
Homomorphisms: The Maps Between Structures

Homomorphisms: The Maps Between Structures

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5 min read
Long Echo: The Ghost That Speaks

Long Echo: The Ghost That Speaks

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6 min read
Diagnosed with Stage 3 Cancer

Diagnosed with Stage 3 Cancer

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2 min read
Graduate Statistics Problem Sets

Graduate Statistics Problem Sets

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2 min read
Model Selection for Weibull Series Systems: When Simpler Models Suffice

Model Selection for Weibull Series Systems: When Simpler Models Suffice

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3 min read
The Mocking Void: On the Computational Incompleteness of Meaning

The Mocking Void: On the Computational Incompleteness of Meaning

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4 min read
Random Oracles in Python

Random Oracles in Python

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2 min read
Watch an LLM Think

Watch an LLM Think

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165 min read
Preventing Ransomware Damages with Off-Site Backup

Preventing Ransomware Damages with Off-Site Backup

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2 min read
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