code stringlengths 273 331k | caption stringlengths 375 1.66k | file_id stringlengths 16 18 | orig_caption stringlengths 46 1.69k | input_field stringclasses 1
value |
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\documentclass[10pt, oneside]{amsart}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{color}
\usepackage[usenames,dvipsnames,svgnames,table]{xcolor}
\usepackage[utf8]{inputenc}
\usepackage[colorlinks=true, pdfstartview=FitV,linkcolor=ForestGreen,citecolor=ForestGreen, urlcolor=black]{hyperref}
\usepackage{tikz}
... | The diagram consists of two main rectangles, one larger and one smaller, both outlined in blue. The larger rectangle is positioned horizontally at the top, with its right edge labeled "Q1". Inside this larger rectangle, there is a smaller purple rectangle, which is also outlined in blue. This smaller rectangle is cente... | datikz-v2_test_0 | \small{For a solution in $Q_1$, we prove Hölder continuity \ref{thm:holder} in $Q_{\frac{1}{2}}$. The Intermediate Value Lemma \ref{thm:IVL} relates $Q_{r_0}$ to $Q^-_{r_0}$ in the past. The Weak Harnack inequality \ref{eq:weakH} relates $Q_{\frac{r_0}{2}}$ with $\tilde Q^-_{\frac{r_0}{2}}$ and the Not-so-Strong Harnac... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[review]{elsarticle}
\usepackage{tikz}
\usepackage{amsmath}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
\draw (0,0) circle(1.5cm);
\fill[black!70] (0,0) circle(1.5cm);
\fill[white] (0,0) -- (-90:1.5cm) arc (-90:90:1.5cm) -- cycle;
\draw (0,0) -- (1.06,1.06);
\draw node at (0.5,0.1) {$R_... | The diagram illustrates a simplified model of a planetary transit scenario. On the left side, there is a large, dark circle representing a planet with a smaller, lighter-colored circle inside it, indicating the planet's atmosphere or cloud layer. This inner circle is labeled "R_p" in green. The planet is emitting light... | datikz-v2_test_1 | The isotropic irradiation approximation. The starlight incidents on the dayside of the planet isotropically through the area $\pi R_p^2$. Due to atmospheric heat redistribution from dayside to nightside (shown in green arrow), the redistribution parameter is altered. The energy emitted from the dayside of a hot Jupiter... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[reqno,12pt,letterpaper]{amsart}
\usepackage{amsmath,amssymb,amsthm,graphicx,mathrsfs,url}
\usepackage[usenames,dvipsnames]{color}
\usepackage[colorlinks=true,linkcolor=Red,citecolor=Green]{hyperref}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\begin{document}
\begin{tikzpicture}
\node at (0,0) {\inc... | The diagram consists of two identical rectangular sections side by side, each labeled "Image" at the top center. Within each rectangle, there is a smaller square positioned in the bottom right corner, marked with the Greek letter alpha (α). The rectangles are divided into four quadrants by diagonal lines extending from... | datikz-v2_test_2 | Bifurcation for $B=0.1$. (Top): The color-coding indicates the position of the Dirac points for given values of $\alpha \in \mathbb R.$ The right figure illustrates the bifurcation at $\Gamma$ and the left figure at a non-equivalent (modulo $\Lambda^*$) bifurcation point that is a vertex of the boundary of the Brilloui... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[reqno,12pt]{amsart}
\usepackage{amsmath,graphicx,amssymb,amsthm}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{color}
\usepackage{tikz-cd}
\begin{document}
\begin{tikzpicture}[line width=0.8pt]
\draw[->] (0,-2) -- (1,0); \draw[->] (1,-2) -- (2,0); \draw[->,dashed] (2,-2) -- (0,0);
\node at ... | The diagram consists of two separate sections, each depicting a series of numbered points connected by lines with arrows indicating direction. In the first section, labeled "1," there are three points arranged in a triangular formation: point 1 is at the top left, point 2 is directly below point 1, and point 3 is at th... | datikz-v2_test_3 | An example of $3$-ary cloning in the symmetric groups. Here we see that $(1~2~3)\varsigma_3^3 = (1~4~2~5~3)$. The arrow getting ``cloned'' is dashed, as are the three arrows resulting from the cloning. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[amsmath,twocolumn,pra,longbibliography,superscriptaddress]{revtex4-2}
\usepackage{amsthm,amssymb,amsfonts,graphicx,verbatim, xcolor,bm,ulem}
\usepackage[utf8]{inputenc}
\usepackage{colortbl}
\usepackage{tikz}
\usepackage{pgfplots}
\usepgfplotslibrary{groupplots,dateplot}
\usetikzlibrary{patterns,shapes.a... | The diagram illustrates a series of three distinct graphs labeled with different values of \(\alpha\): \(\alpha = 0\), \(\alpha = \alpha^*/2\), and \(\alpha = \alpha^*\). Each graph is plotted on a Cartesian coordinate system with the x-axis labeled as \(\Gamma K M\) and the y-axis labeled as \(E'/s|q_1|\). The graphs ... | datikz-v2_test_5 | Band structure of the continuum model Eq.~\eqref{eq_originalcontinuummodel} plotted along the high-symmetry path of the moir\'e mini-Brillouin zone illustrated in the inset. The bandwidth of the band closest to charge neutrality exactly vanishes when the coupling strength $\alpha = V_1 / |v q_0|$ reaches the value $\al... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt,english]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{color}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[unicode=true,
bookmarks=false,
breaklinks=false,pdfborder={0 0 1},
%backref=section,
colorlinks=true]{hyperref}
\usepackage{xcolor}
\usepackage{tikz}
\u... | The diagram illustrates a financial decision-making scenario involving an expected benefit function over time. The horizontal axis represents time, labeled "t," ranging from 0 to T, with a vertical dashed line marking an "interim deadline" at \( S_{0}^{FI} \). The vertical axis represents the expected benefit, labeled ... | datikz-v2_test_6 | The principal optimally sets an interim deadline $t=S_{0}^{FI}$ under full information: given that the first stage of the project has not been completed by $S_{0}^{FI}$, it is optimal to stop investing at $S_{0}^{FI}$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[a4paper]{spie}
\usepackage{amsmath,amsfonts,amssymb}
\usepackage[colorlinks=true, allcolors=blue]{hyperref}
\usepackage{tikz}
\usetikzlibrary{quotes,angles,calc,patterns,shapes.geometric}
\begin{document}
\begin{tikzpicture}[scale=0.9]
\draw[<->, very thick] (0,-3) to (0,3);%
\draw (0,0) node[above... | The diagram illustrates the optical path of light through a system involving an on-axis source and an off-axis source, focusing on the interaction with the entrance pupil and exit pupil. A horizontal dashed line represents the axis of symmetry for both sources. The on-axis source is depicted by a blue line, while the o... | datikz-v2_test_8 | Schematic diagram of a telescope with an optical instrument that increases the equivalent focal length, $f_{eq}$, and with the exit pupil closer to the focal plane than the entrance pupil ($d_p<f_{eq}$) so that the non-telecentric angle, $\theta_{out}$, is greater than the entrance radiation angle $\theta_{in}$ | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[amsmath,amssymb,11pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amsmath,amsopn}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{snakes}
\begin{document}
\begin{tikzpicture}
\draw[thick] (0,0) -- (4,0);
\draw[thick] (0,0) -- (0,4) node[pos=.5,above,rotate=90]{North Pol... | The diagram illustrates a square divided into four regions by two intersecting lines, forming an "X" shape within the square. The square is oriented such that its top side is labeled "North Pole," and its bottom side is labeled "South Pole." The left vertical edge of the square is marked with the symbol "1 = 0," while ... | datikz-v2_test_9 | Penrose diagram of de Sitter space with the value of the (dimensionless) de Sitter invariant distance $Z(x,y)$ depicted, where the point $x$ is located in the lower left corner of the Penrose diagram. Further, $\bar x$ denotes the antipodal point. For instance, $Z(x,y)>1$ if the point $y$ lies in the Northern static pa... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt]{article}
\usepackage{amsmath}
\usepackage{tikz}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amssymb}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1]
\draw (91.38,240.05) node {\includegraphics[width=38.58pt,height=38.58pt]{e... | The diagram illustrates a conceptual flow involving two main components: "Head" and "Foot," which are connected by a plus sign (+) indicating some form of combination or addition. Below these components, there are two smaller squares labeled "Image," each with a grid pattern inside, suggesting a visual or data represen... | datikz-v2_test_10 | An example for converting a classical problem of calculating the number of rabbits and chicken in a house, to a pure mathematical problem represented as a diagram. The house has rabbits and chickens, with in total 35 heads and 94 feet, then how many rabbits and chickens are there respectively? After abstraction, only r... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[12pt,a4paper,reqno, UTF-8]{amsart}
\usepackage{amscd,amssymb,amsfonts,amsbsy,amsmath,verbatim,color,amsaddr,mathrsfs}
\usepackage{tikz,ifthen,bm}
\usetikzlibrary{intersections}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[scale=1.75,declare function={f(\t)=-2*(\t-1)+1;}]
\pgfmaths... | The diagram consists of two main sections. On the left side, there is a horizontal red line labeled "s3" at the top, followed by a series of shorter red lines labeled "s2," "s1," and "s0" in descending order from top to bottom. Each of these shorter lines intersects with a vertical black line labeled "Q3," "Q2," "Q1," ... | datikz-v2_test_11 | An illustration of $f_F$. The vertical line segment $Q_0Q_3=\{\bx\}\times[0,b]$ intersects $S_i$ at $Q_i$, $i=0,\ldots,3$. The last coordinate of $f_F(Q_i)$ is $\varphi(Q_i)$. This figure is drawn with $r=3$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{automata, positioning, arrows}
\begin{document}
\begin{tikzpicture}[node distance=3cm,thick,scale=0.7, every node/.style={scale=0.7}]
\node(q0)[state with output, initial,initial text={}] at (0,0)
{$q_0$ \nodepar... | The diagram illustrates a finite state machine with four states labeled \( q_1 \), \( q_2 \), \( q_3 \), and \( q_4 \). Each state is depicted as a circle, with \( q_1 \) being the initial state, indicated by an arrow pointing from outside the circle to it. The transitions between states are represented by directed arr... | datikz-v2_test_12 | Illustration of {\dcpriorityopt}. An optimal parity condition consistent with $(\F_0',\F_1')$ can redefine the priority of $q_0$ to $2$ and thus use one priority less. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[fleqn,usenatbib]{mnras}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{tikz}
\usepackage{amsmath}
\begin{document}
\begin{tikzpicture}
\usetikzlibrary{calc}
\newcommand{\tikzAngleOfLine}{\tikz@AngleOfLine}
\def\tikz@AngleOfLine(#1)(#2)#3{%
\pgfmathang... | The diagram illustrates a geometric configuration involving several labeled points and lines. A straight horizontal line is marked with two endpoints labeled "I" on the left and "F" on the right. On this line, a point "M" is positioned between "I" and "F". Another point, "S", is located to the left of "I". From "M", a ... | datikz-v2_test_13 | Illustration of the substellar longitude, $\gamma$, and its relation to other angles and lines. Line IF is an inertial line and line PS is the line connecting the center of the star and the planet. The ellipse surrounding point P represents the planet's geometry as a triaxial ellipsoid. This figure is a recreation of F... | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[11pt, a4paper]{article}
\usepackage{bm, amsmath, amsthm, amssymb, accents, comment}
\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{
compat=newest,
cycle list name=exotic }
\begin{document}
\begin{tikzpicture}
\begin{axis}[
title={},
xlabel={$\| \beta \|$}, xmin=0, xmax=5,
ylabel... | The diagram is a line graph illustrating the percentage improvement in Mean Squared Error (MSE) against the norm of β, denoted as ||β||. The x-axis represents the norm of β, ranging from 0 to 4, while the y-axis shows the percentage improvement in MSE, which spans from 0% to 10%. Three distinct lines represent differen... | datikz-v2_test_14 | Percentage improvement in mean squared error of MAICc with $c=\bar{c}$ over AICc when $n=30$ and $p=10$. | vlm_description(Qwen2.5-VL-7B-Instruct) |
\documentclass[5p,12pt]{elsarticle}
\usepackage{color}
\usepackage[cmex10]{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
% input layer:
\node at (0,7) [circle,draw] (01){$q_1$};
\node at (0,6) [circle,draw] (02){$q_2$};
\node at (0,4) [circle,draw] (03){$q_n$};
% first layer
\no... | The diagram illustrates a neural network with five distinct layers: an input layer, a first hidden layer, a second hidden layer, a third hidden layer, and an output layer. The input layer is labeled "input layer" and contains nodes representing "q1," "q2," ..., "qn," which correspond to the number of heat exchangers, d... | datikz-v2_test_15 | Structure of the used DNN. The number of nodes in the first and last layer are equal to the number of heat exchanges and estimated states in each test case. The hidden layers have 100, 250 and 250 Nodes in both cases. | vlm_description(Qwen2.5-VL-7B-Instruct) |
Reconstructed vlm_description for the DaTikZ v2/v3 official test split
Text→TikZ models in the TikZilla family are trained on DaTikZ-V4's vlm_description field — a
VLM-written visual description of the gold figure. No public split ships that field for held-out
evaluation, which makes matched-input evaluation of those models impossible off-the-shelf:
| dataset | split | has vlm_description? |
|---|---|---|
nllg/DaTikZ-V4 |
train only (no test split) | ✅ yes |
nllg/datikz-v3 |
train / test (542) | ❌ no — only caption |
nllg/datikz-v2 |
train / test (442) | ❌ no — only caption |
The caption these public test splits do carry is the raw LaTeX figure caption from the source
paper — typically full of \ref{} macros and prose about theorems, with little or no visual content.
Example from datikz-v2_test_0:
\small{For a solution in $Q_1$, we prove Hölder continuity \ref{thm:holder} in $Q_{\frac{1}{2}}$. The Intermediate Value Lemma \ref{thm:IVL} relates $Q_{r_0}$ to $Q^-_{r_0}$ ...}
Conditioning a description→TikZ model on that is both off-distribution and under-determined — it does not say what to draw. This dataset supplies the missing field so the public test split can be used with matched input.
What this contains
vlm_descriptions.jsonl—{file_id, vlm_description}, 880 itemsdatikz_official_test_vlmdesc.json— the official v2+v3 test items withvlm_descriptionplaced in thecaptionfield for drop-in use, plusorig_captionand aninput_fieldprovenance tag
How it was produced
Gold TikZ from the public v2/v3 test split was compiled (TeX Live 2022) and rasterised, then described with
Qwen2.5-VL-7B-Instruct — the model the DaTikZ-V4 dataset card names for generating its own
vlm_description field. Greedy decoding, max_new_tokens=320.
Honest limitations — please read before using
- The original prompt wording is not published. We used the same model as the DaTikZ-V4 authors, but our own instruction. These descriptions are a faithful reconstruction of the field's role, not a byte-identical reproduction of it.
- 880 of 984, not all. 104 gold figures did not compile/rasterise on our toolchain, so they have no image to describe. They are simply absent — nothing was imputed.
- This is not the TikZilla paper's test set. That paper (arXiv 2603.03072) evaluates on 1,047 held-out DaTikZ-V4 samples restricted to post-May-2025, with test descriptions generated by GPT-4o (explicitly, to avoid same-VLM bias). Those items are not public. Numbers computed on this dataset are therefore not comparable to that paper's tables — they support a self-contained, fully-specified evaluation on public data instead.
- Descriptions are model-generated and unverified. They may contain errors or omissions relative to the figure.
Attribution
Derived from nllg/datikz-v2 and nllg/datikz-v3 (gold TikZ and item ids). Please cite those datasets and
respect their terms; this repository adds only the generated descriptions. Descriptions were produced with
Qwen2.5-VL-7B-Instruct.
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