Fix small typos in README.md

README.md

@@ -23,7 +23,7 @@
 
 ## Description
 
-Conditional Flow Matching (CFM) is a fast way to train continuous normalizing flow (CNF) models. CFM is a simulation-free training objective for continuous normalizing flows that allows conditional generative modeling and speeds up training and inference. CFM's performance closes the gap between CNFs and diffusion models. To spread its use within the machine learning community, we have built a library focused on Flow Matching methods: TorchCFM. TorchCFM is a library showing how Flow Matching methods can be trained and use to deal with image generation, single-cell dynamics and (soon) SO(3) data and tabular data.
+Conditional Flow Matching (CFM) is a fast way to train continuous normalizing flow (CNF) models. CFM is a simulation-free training objective for continuous normalizing flows that allows conditional generative modeling and speeds up training and inference. CFM's performance closes the gap between CNFs and diffusion models. To spread its use within the machine learning community, we have built a library focused on Flow Matching methods: TorchCFM. TorchCFM is a library showing how Flow Matching methods can be trained and used to deal with image generation, single-cell dynamics and (soon) SO(3) data and tabular data.
 
 <p align="center">
 <img src="assets/169_generated_samples_otcfm.png" width="600"/>
@@ -43,7 +43,7 @@ In our version 1 update we have extracted implementations of the relevant flow m
 - `ConditionalFlowMatcher`: $z = (x_0, x_1)$, $q(z) = q(x_0) q(x_1)$
 - `ExactOptimalTransportConditionalFlowMatcher`: $z = (x_0, x_1)$, $q(z) = \\pi(x_0, x_1)$ where $\\pi$ is an exact optimal transport joint. This is used in \[Tong et al. 2023a\] and \[Poolidan et al. 2023\] as "OT-CFM" and "Multisample FM with Batch OT" respectively.
 - `TargetConditionalFlowMatcher`: $z = x_1$, $q(z) = q(x_1)$ as defined in Lipman et al. 2023, learns a flow from a standard normal Gaussian to data using conditional flows which optimally transport the Gaussian to the datapoint (Note that this does not result in the marginal flow being optimal transport).
-- `SchrodingerBridgeConditionalFlowMatcher`: $z = (x_0, x_1)$, $q(z) = \\pi\_\\epsilon(x_0, x_1)$ where $\\pi\_\\epsilon$ is a an entropically regularized OT plan, although in practice this is often approximated by a minibatch OT plan (See Tong et al. 2023b). The flow-matching variant of this where the marginals are equivalent to the Schrodinger Bridge marginals is known as `SB-CFM` \[Tong et al. 2023a\]. When the score is also known and the bridge is stochastic is called \[SF\]2M \[Tong et al. 2023b\]
+- `SchrodingerBridgeConditionalFlowMatcher`: $z = (x_0, x_1)$, $q(z) = \\pi\_\\epsilon(x_0, x_1)$ where $\\pi\_\\epsilon$ is an entropically regularized OT plan, although in practice this is often approximated by a minibatch OT plan (See Tong et al. 2023b). The flow-matching variant of this where the marginals are equivalent to the Schrodinger Bridge marginals is known as `SB-CFM` \[Tong et al. 2023a\]. When the score is also known and the bridge is stochastic is called \[SF\]2M \[Tong et al. 2023b\]
 - `VariancePreservingConditionalFlowMatcher`: $z = (x_0, x_1)$ $q(z) = q(x_0) q(x_1)$ but with conditional Gaussian probability paths which preserve variance over time using a trigonometric interpolation as presented in \[Albergo et al. 2023a\].
 
 ## How to cite
@@ -120,7 +120,7 @@ TorchCFM is now on [pypi](https://pypi.org/project/torchcfm/)! You can install i
 pip install torchcfm
 ```
 
-To use the full library with the the different examples, you can install dependencies:
+To use the full library with the different examples, you can install dependencies:
 
 ```bash
 # clone project
@@ -155,7 +155,7 @@ python -m ipykernel install --user --name=torchcfm
 
 ## Project Structure
 
-The directory structure of new project looks like this:
+The directory structure of a new project looks like this:
 
 ```