AI & LaTeX

How to Make AI Follow Your Paper's Notation Style in LaTeX

One of the biggest frustrations with using AI for LaTeX is inconsistent notation. You use \mathbf{x} for vectors, but the AI generates \vec{x}. You define \mathcal{L} for your loss function, but the AI writes L or \ell. Bibby AI solves this by reading your document's preamble and existing notation, then generating new content that matches your style. This tutorial shows you how to define clear notation conventions and make AI tools respect them.

Defining Custom Commands for Consistent Notation

The best way to enforce notation consistency — for both humans and AI — is to define custom commands in your preamble:

% Define all notation in your preamble so both you
% and the AI use the same commands:

% Vectors (bold lowercase)
\newcommand{\vect}[1]{\mathbf{#1}}
% Matrices (bold uppercase)
\newcommand{\mat}[1]{\mathbf{#1}}
% Sets (calligraphic)
\newcommand{\set}[1]{\mathcal{#1}}
% Expectations
\newcommand{\E}{\mathbb{E}}
% Probability
\newcommand{\Prob}{\mathbb{P}}
% Real numbers
\newcommand{\R}{\mathbb{R}}
% Loss function
\newcommand{\loss}{\mathcal{L}}
% Model parameters
\newcommand{\params}{\boldsymbol{\theta}}
% Transpose
\newcommand{\T}{^{\mkern-1.5mu\mathsf{T}}}

% Usage in text:
Let $\vect{x} \in \R^d$ and
$\mat{W} \in \R^{d \times k}$.
We minimize $\loss(\params)$ over
$\params \in \set{S}$.

Creating a Notation Guide Section

Add a notation table to your paper so the AI (and your readers) can reference it:

% A notation table also helps the AI understand
% your conventions:

\section*{Notation}
\begin{tabular}{cl}
  \toprule
  Symbol & Meaning \\
  \midrule
  $\vect{x}, \vect{y}$ & Column vectors \\
  $\mat{A}, \mat{W}$   & Matrices \\
  $\set{S}, \set{X}$   & Sets \\
  $\params$            & Model parameters
                         ($\boldsymbol{\theta}$) \\
  $\loss(\cdot)$       & Loss function \\
  $\E[\cdot]$          & Expected value \\
  $\R^d$               & $d$-dimensional
                         real space \\
  $\| \cdot \|_p$      & $\ell_p$ norm \\
  \bottomrule
\end{tabular}

Using Bibby AI to Enforce Notation Throughout

Bibby AI reads your preamble and uses your custom commands when generating new content:

% When you ask Bibby AI to write an equation,
% it uses YOUR custom commands:

% Example prompt: "Write the gradient descent update
% rule for our loss function"

% Bibby AI output (using your \params, \loss, etc.):
\begin{equation}
  \params_{t+1} = \params_t
  - \eta \nabla_{\params} \loss(\params_t)
  \label{eq:gradient-descent}
\end{equation}

% Compare with generic ChatGPT output:
% \theta_{t+1} = \theta_t - \eta \nabla L(\theta_t)
% ^ Uses raw \theta instead of \params,
%   and L instead of \loss

% If Bibby AI detects inconsistent notation in
% existing text, it can flag it:
% WARNING: Line 142 uses \theta directly instead
%          of \params command.

💡 Tips

•Define ALL your notation as \newcommand macros — this makes it trivial to change notation later (e.g., switching from bold to arrow vectors).
•Bibby AI parses your \newcommand definitions and always uses your macros instead of raw symbols.
•Keep a notation section in your paper even if the venue doesn't require it — it helps co-authors, reviewers, and the AI stay consistent.
•If you change notation mid-project, Bibby AI can find-and-replace using semantic understanding, not just string matching.

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