Update README.md

README.md

@@ -188,9 +188,30 @@ Introducing IsoBench, a benchmark dataset containing problems from four major ar
 <!-- Address questions around how the dataset is intended to be used. -->
 There are 4 major domains: math, algorithm, game, and science. Each domain has several subtasks. We will show how to load the data for each subtask.
 
-### Mathematics
+### Direct Use
 
-[More Information Needed]
+<!-- This section describes suitable use cases for the dataset. -->
+IsoBench is designed with two objectives, which are:
+
+- Analyzing the behavior difference between language-only and multimodal foundation models, by prompting them with distinct (*e.g.* mathematical expression and plot of a function) representations of the same input.
+- Contributing a language-only/multimodal benchmark in the science domain.
+
+For more information, be sure to checkout our [paper](https://arxiv.org/abs/2404.01266) and [project website](https://isobench.github.io/)!
+
+#### Mathematics
+There are three mathematics tasks. Each task is structured as a classification problem and each class contains 128 samples.
+
+- Parity implements a ternary classification problem. A model has to classify an input function into an even function, odd function, or neither.
+- Convexity implements a binary classification problem for a model to classify an input function as convex or concave. **Note**: some functions are only convex (resp. concave) within a certain domain (*e.g.* `x > 0`), which is report in the `xlim` field of each sample. We recommend providing this information as part of the prompt!
+- Breakpoint counts the number of breakpoints (*i.e.* intersections of a piecewise linear function). Each function contains either 2 or 3 breakpoints, which renders this task a binary classification problem.
+
+```python
+from datasets import load_dataset
+
+dataset_connectivity = load_dataset('isobench/IsoBench', 'math_parity', split='validation')
+dataset_maxflow = load_dataset('isobench/IsoBench', 'math_convexity', split='validation')
+dataset_isomorphism = load_dataset('isobench/IsoBench', 'math_breakpoint', split='validation')
+```
 
 ### Algorithms
 There are three algorithmic tasks, with ascending complexity: graph connectivity, graph maximum flow, and graph isomorphism.