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k4v1t · MATHEMATICS · AI · SCIENCE

Working things out, visually

This site is a collection of visual explanations, interactive experiments, research notes and projects exploring mathematics, machine learning and scientific inference.

I am especially interested in what models are actually learning from data, where ambiguity remains, and how visualisation can make difficult ideas easier to reason about.

Some pieces explain ideas I have found useful; others are questions I am still working through.

Explore the visual essays

Explore

Interactive essays

Visual explanations and experiments that let you adjust parameters, test assumptions and see how a system changes.

Browse the essays

Research

PhD research at Queen Mary University of London on machine learning for autonomous optical networks.

Coming soon

Publications

Papers, preprints and other formally published work.

Coming soon

Projects & notes

Code, technical experiments and shorter explorations of ideas that are still developing.

Coming soon

Recent essays

There is no hidden text
Artificial intelligence
Language models
Watermarking
Interactive

An interactive visual essay about how statistical watermarks can hide in the choices a language model makes.

When different black-hole binaries look the same
Gravitational waves
Inverse problems
Scientific machine learning
Interactive

An interactive exploration of parameter degeneracies in gravitational-wave inference.

Anonymity is not binary
Information theory
Privacy
Interactive

Why workplace surveys spend an anonymity budget and why the cost is not the same for everyone.

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Current themes

The work here will mostly sit around scientific machine learning, inverse problems, mathematical intuition and the question of what can (or cannot) be learned from data.

I am more interested in developing better questions than presenting polished answers.

More about me

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k4v1t · MATHEMATICS · AI · SCIENCE
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# Working things out, visually

This site is a collection of visual explanations, interactive experiments, research notes and projects exploring mathematics, machine learning and scientific inference.

I am especially interested in what models are actually learning from data, where ambiguity remains, and how visualisation can make difficult ideas easier to reason about.

Some pieces explain ideas I have found useful; others are questions I am still working through.

[Explore the visual essays](essays.qmd){.btn .btn-primary .btn-lg}
:::

## Explore

::: {.featured-grid}
::: {.featured-card}

### Interactive essays

Visual explanations and experiments that let you adjust parameters, test assumptions and see how a system changes.

[Browse the essays](essays.qmd)
:::

::: {.featured-card}

### Research

PhD research at Queen Mary University of London on machine learning for autonomous optical networks.

`Coming soon`
:::

::: {.featured-card}

### Publications

Papers, preprints and other formally published work.

`Coming soon`
:::

::: {.featured-card}

### Projects & notes

Code, technical experiments and shorter explorations of ideas that are still developing.

`Coming soon`
:::
:::

## Recent essays

::: {#recent-essays}
:::

[All visual essays →](essays.qmd)

## Current themes

The work here will mostly sit around scientific machine learning, inverse problems, mathematical intuition and the question of what can (or cannot) be learned from data.

I am more interested in developing better questions than presenting polished answers.

[More about me](about.qmd)

© 2026 Kavit Tolia

 

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