Welcome to your week 3 programming assignment. You will learn about object detection using the very powerful YOLO model. Many of the ideas in this notebook are described in the two YOLO papers: Redmon et al., 2016 (https://arxiv.org/abs/1506.02640) and Redmon and Farhadi, 2016 (https://arxiv.org/abs/1612.08242).

**You will learn to**:

- Use object detection on a car detection dataset
- Deal with bounding boxes

Run the following cell to load the packages and dependencies that are going to be useful for your journey!

**Important Note**: As you can see, we import Keras's backend as K. This means that to use a Keras function in this notebook, you will need to write: `K.function(...)`

.

You are working on a self-driving car. As a critical component of this project, you'd like to first build a car detection system. To collect data, you've mounted a camera to the hood (meaning the front) of the car, which takes pictures of the road ahead every few seconds while you drive around.

Pictures taken from a car-mounted camera while driving around Silicon Valley.

We would like to especially thank [drive.ai](https://www.drive.ai/) for providing this dataset! Drive.ai is a company building the brains of self-driving vehicles.

You've gathered all these images into a folder and have labelled them by drawing bounding boxes around every car you found. Here's an example of what your bounding boxes look like.

**Figure 1** : **Definition of a box**

If you have 80 classes that you want YOLO to recognize, you can represent the class label @@0@@ either as an integer from 1 to 80, or as an 80-dimensional vector (with 80 numbers) one component of which is 1 and the rest of which are 0. The video lectures had used the latter representation; in this notebook, we will use both representations, depending on which is more convenient for a particular step.

In this exercise, you will learn how YOLO works, then apply it to car detection. Because the YOLO model is very computationally expensive to train, we will load pre-trained weights for you to use.

YOLO ("you only look once") is a popular algoritm because it achieves high accuracy while also being able to run in real-time. This algorithm "only looks once" at the image in the sense that it requires only one forward propagation pass through the network to make predictions. After non-max suppression, it then outputs recognized objects together with the bounding boxes.

First things to know:

- The
**input**is a batch of images of shape (m, 608, 608, 3) - The
**output**is a list of bounding boxes along with the recognized classes. Each bounding box is represented by 6 numbers @@0@@ as explained above. If you expand @@1@@ into an 80-dimensional vector, each bounding box is then represented by 85 numbers.

We will use 5 anchor boxes. So you can think of the YOLO architecture as the following: IMAGE (m, 608, 608, 3) -> DEEP CNN -> ENCODING (m, 19, 19, 5, 85).

Lets look in greater detail at what this encoding represents.

**Figure 2** : **Encoding architecture for YOLO**

If the center/midpoint of an object falls into a grid cell, that grid cell is responsible for detecting that object.

Since we are using 5 anchor boxes, each of the 19 x19 cells thus encodes information about 5 boxes. Anchor boxes are defined only by their width and height.

For simplicity, we will flatten the last two last dimensions of the shape (19, 19, 5, 85) encoding. So the output of the Deep CNN is (19, 19, 425).

**Figure 3** : **Flattening the last two last dimensions**

Now, for each box (of each cell) we will compute the following elementwise product and extract a probability that the box contains a certain class.

**Figure 4** : **Find the class detected by each box**

Here's one way to visualize what YOLO is predicting on an image:

- For each of the 19x19 grid cells, find the maximum of the probability scores (taking a max across both the 5 anchor boxes and across different classes).
- Color that grid cell according to what object that grid cell considers the most likely.

Doing this results in this picture:

**Figure 5** : Each of the 19x19 grid cells colored according to which class has the largest predicted probability in that cell.

Note that this visualization isn't a core part of the YOLO algorithm itself for making predictions; it's just a nice way of visualizing an intermediate result of the algorithm.

Another way to visualize YOLO's output is to plot the bounding boxes that it outputs. Doing that results in a visualization like this:

**Figure 6** : Each cell gives you 5 boxes. In total, the model predicts: 19x19x5 = 1805 boxes just by looking once at the image (one forward pass through the network)! Different colors denote different classes.

In the figure above, we plotted only boxes that the model had assigned a high probability to, but this is still too many boxes. You'd like to filter the algorithm's output down to a much smaller number of detected objects. To do so, you'll use non-max suppression. Specifically, you'll carry out these steps:

- Get rid of boxes with a low score (meaning, the box is not very confident about detecting a class)
- Select only one box when several boxes overlap with each other and detect the same object.

You are going to apply a first filter by thresholding. You would like to get rid of any box for which the class "score" is less than a chosen threshold.

The model gives you a total of 19x19x5x85 numbers, with each box described by 85 numbers. It'll be convenient to rearrange the (19,19,5,85) (or (19,19,425)) dimensional tensor into the following variables:

`box_confidence`

: tensor of shape @@0@@ containing @@1@@ (confidence probability that there's some object) for each of the 5 boxes predicted in each of the 19x19 cells.`boxes`

: tensor of shape @@2@@ containing @@3@@ for each of the 5 boxes per cell.`box_class_probs`

: tensor of shape @@4@@ containing the detection probabilities @@5@@ for each of the 80 classes for each of the 5 boxes per cell.

**Exercise**: Implement `yolo_filter_boxes()`

.
1. Compute box scores by doing the elementwise product as described in Figure 4. The following code may help you choose the right operator:

```
1
2
3
```

```
a = np.random.randn(19*19, 5, 1)
b = np.random.randn(19*19, 5, 80)
c = a * b # shape of c will be (19*19, 5, 80)
```

- For each box, find:
- Create a mask by using a threshold. As a reminder:
`([0.9, 0.3, 0.4, 0.5, 0.1] < 0.4)`

returns:`[False, True, False, False, True]`

. The mask should be True for the boxes you want to keep. - Use TensorFlow to apply the mask to box_class_scores, boxes and box_classes to filter out the boxes we don't want. You should be left with just the subset of boxes you want to keep. (Hint)

Reminder: to call a Keras function, you should use `K.function(...)`

.

**Expected Output**:

**scores[2]** | 10.7506 |

**boxes[2]** | [ 8.42653275 3.27136683 -0.5313437 -4.94137383] |

`1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33`

`<tr> <td> **classes[2]** </td> <td> 7 </td> </tr> <tr> <td> **scores.shape** </td> <td> (?,) </td> </tr> <tr> <td> **boxes.shape** </td> <td> (?, 4) </td> </tr> <tr> <td> **classes.shape** </td> <td> (?,) </td> </tr>`

Even after filtering by thresholding over the classes scores, you still end up a lot of overlapping boxes. A second filter for selecting the right boxes is called non-maximum suppression (NMS).

**Figure 7** : In this example, the model has predicted 3 cars, but it's actually 3 predictions of the same car. Running non-max suppression (NMS) will select only the most accurate (highest probabiliy) one of the 3 boxes.

Non-max suppression uses the very important function called **"Intersection over Union"**, or IoU.

**Figure 8** : Definition of "Intersection over Union".

**Exercise**: Implement iou(). Some hints:

- In this exercise only, we define a box using its two corners (upper left and lower right): (x1, y1, x2, y2) rather than the midpoint and height/width.
- To calculate the area of a rectangle you need to multiply its height (y2 - y1) by its width (x2 - x1)
- You'll also need to find the coordinates (xi1, yi1, xi2, yi2) of the intersection of two boxes. Remember that:
- xi1 = maximum of the x1 coordinates of the two boxes
- yi1 = maximum of the y1 coordinates of the two boxes
- xi2 = minimum of the x2 coordinates of the two boxes
yi2 = minimum of the y2 coordinates of the two boxes

In this code, we use the convention that (0,0) is the top-left corner of an image, (1,0) is the upper-right corner, and (1,1) the lower-right corner.

**Expected Output**:

**iou = ** | 0.14285714285714285 |

You are now ready to implement non-max suppression. The key steps are:
1. Select the box that has the highest score.
2. Compute its overlap with all other boxes, and remove boxes that overlap it more than `iou_threshold`

.
3. Go back to step 1 and iterate until there's no more boxes with a lower score than the current selected box.

This will remove all boxes that have a large overlap with the selected boxes. Only the "best" boxes remain.

**Exercise**: Implement yolo_non_max_suppression() using TensorFlow. TensorFlow has two built-in functions that are used to implement non-max suppression (so you don't actually need to use your `iou()`

implementation):

**Expected Output**:

**scores[2]** | 6.9384 |

**boxes[2]** | [-5.299932 3.13798141 4.45036697 0.95942086] |

`1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33`

`<tr> <td> **classes[2]** </td> <td> -2.24527 </td> </tr> <tr> <td> **scores.shape** </td> <td> (10,) </td> </tr> <tr> <td> **boxes.shape** </td> <td> (10, 4) </td> </tr> <tr> <td> **classes.shape** </td> <td> (10,) </td> </tr>`

It's time to implement a function taking the output of the deep CNN (the 19x19x5x85 dimensional encoding) and filtering through all the boxes using the functions you've just implemented.

**Exercise**: Implement `yolo_eval()`

which takes the output of the YOLO encoding and filters the boxes using score threshold and NMS. There's just one last implementational detail you have to know. There're a few ways of representing boxes, such as via their corners or via their midpoint and height/width. YOLO converts between a few such formats at different times, using the following functions (which we have provided):

`1`

`boxes = yolo_boxes_to_corners(box_xy, box_wh)`

which converts the yolo box coordinates (x,y,w,h) to box corners' coordinates (x1, y1, x2, y2) to fit the input of `yolo_filter_boxes`

`1`

`boxes = scale_boxes(boxes, image_shape)`

YOLO's network was trained to run on 608x608 images. If you are testing this data on a different size image--for example, the car detection dataset had 720x1280 images--this step rescales the boxes so that they can be plotted on top of the original 720x1280 image.

Don't worry about these two functions; we'll show you where they need to be called.

**Expected Output**:

**scores[2]** | 138.791 |

**boxes[2]** | [ 1292.32971191 -278.52166748 3876.98925781 -835.56494141] |

`1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33`

`<tr> <td> **classes[2]** </td> <td> 54 </td> </tr> <tr> <td> **scores.shape** </td> <td> (10,) </td> </tr> <tr> <td> **boxes.shape** </td> <td> (10, 4) </td> </tr> <tr> <td> **classes.shape** </td> <td> (10,) </td> </tr>`

**Summary for YOLO**: - Input image (608, 608, 3) - The input image goes through a CNN, resulting in a (19,19,5,85) dimensional output. - After flattening the last two dimensions, the output is a volume of shape (19, 19, 425): - Each cell in a 19x19 grid over the input image gives 425 numbers. - 425 = 5 x 85 because each cell contains predictions for 5 boxes, corresponding to 5 anchor boxes, as seen in lecture. - 85 = 5 + 80 where 5 is because @@0@@ has 5 numbers, and and 80 is the number of classes we'd like to detect - You then select only few boxes based on: - Score-thresholding: throw away boxes that have detected a class with a score less than the threshold - Non-max suppression: Compute the Intersection over Union and avoid selecting overlapping boxes - This gives you YOLO's final output.

In this part, you are going to use a pretrained model and test it on the car detection dataset. As usual, you start by **creating a session to start your graph**. Run the following cell.

Recall that we are trying to detect 80 classes, and are using 5 anchor boxes. We have gathered the information about the 80 classes and 5 boxes in two files "coco_classes.txt" and "yolo_anchors.txt". Let's load these quantities into the model by running the next cell.

The car detection dataset has 720x1280 images, which we've pre-processed into 608x608 images.

Training a YOLO model takes a very long time and requires a fairly large dataset of labelled bounding boxes for a large range of target classes. You are going to load an existing pretrained Keras YOLO model stored in "yolo.h5". (These weights come from the official YOLO website, and were converted using a function written by Allan Zelener. References are at the end of this notebook. Technically, these are the parameters from the "YOLOv2" model, but we will more simply refer to it as "YOLO" in this notebook.) Run the cell below to load the model from this file.

This loads the weights of a trained YOLO model. Here's a summary of the layers your model contains.

**Note**: On some computers, you may see a warning message from Keras. Don't worry about it if you do--it is fine.

**Reminder**: this model converts a preprocessed batch of input images (shape: (m, 608, 608, 3)) into a tensor of shape (m, 19, 19, 5, 85) as explained in Figure (2).

The output of `yolo_model`

is a (m, 19, 19, 5, 85) tensor that needs to pass through non-trivial processing and conversion. The following cell does that for you.

You added `yolo_outputs`

to your graph. This set of 4 tensors is ready to be used as input by your `yolo_eval`

function.

`yolo_outputs`

gave you all the predicted boxes of `yolo_model`

in the correct format. You're now ready to perform filtering and select only the best boxes. Lets now call `yolo_eval`

, which you had previously implemented, to do this.

Let the fun begin. You have created a (`sess`

) graph that can be summarized as follows:

- yolo_model.input is given to
`yolo_model`

. The model is used to compute the output yolo_model.output - yolo_model.output is processed by
`yolo_head`

. It gives you yolo_outputs - yolo_outputs goes through a filtering function,
`yolo_eval`

. It outputs your predictions: scores, boxes, classes

**Exercise**: Implement predict() which runs the graph to test YOLO on an image.
You will need to run a TensorFlow session, to have it compute `scores, boxes, classes`

.

The code below also uses the following function:

```
1
```

`image, image_data = preprocess_image("images/" + image_file, model_image_size = (608, 608))`

which outputs:

- image: a python (PIL) representation of your image used for drawing boxes. You won't need to use it.
- image_data: a numpy-array representing the image. This will be the input to the CNN.

**Important note**: when a model uses BatchNorm (as is the case in YOLO), you will need to pass an additional placeholder in the feed_dict {K.learning_phase(): 0}.

Run the following cell on the "test.jpg" image to verify that your function is correct.

Loading output library...

**Expected Output**:

**Found 7 boxes for test.jpg** | |

**car** | 0.60 (925, 285) (1045, 374) |

**car** | 0.66 (706, 279) (786, 350) |

**bus** | 0.67 (5, 266) (220, 407) |

**car** | 0.70 (947, 324) (1280, 705) |

**car** | 0.74 (159, 303) (346, 440) |

**car** | 0.80 (761, 282) (942, 412) |

**car** | 0.89 (367, 300) (745, 648) |

The model you've just run is actually able to detect 80 different classes listed in "coco_classes.txt". To test the model on your own images: 1. Click on "File" in the upper bar of this notebook, then click "Open" to go on your Coursera Hub. 2. Add your image to this Jupyter Notebook's directory, in the "images" folder 3. Write your image's name in the cell above code 4. Run the code and see the output of the algorithm!

If you were to run your session in a for loop over all your images. Here's what you would get:

Predictions of the YOLO model on pictures taken from a camera while driving around the Silicon Valley

Thanks [drive.ai](https://www.drive.ai/) for providing this dataset!

**What you should remember**: - YOLO is a state-of-the-art object detection model that is fast and accurate - It runs an input image through a CNN which outputs a 19x19x5x85 dimensional volume. - The encoding can be seen as a grid where each of the 19x19 cells contains information about 5 boxes. - You filter through all the boxes using non-max suppression. Specifically: - Score thresholding on the probability of detecting a class to keep only accurate (high probability) boxes - Intersection over Union (IoU) thresholding to eliminate overlapping boxes - Because training a YOLO model from randomly initialized weights is non-trivial and requires a large dataset as well as lot of computation, we used previously trained model parameters in this exercise. If you wish, you can also try fine-tuning the YOLO model with your own dataset, though this would be a fairly non-trivial exercise.

**References**: The ideas presented in this notebook came primarily from the two YOLO papers. The implementation here also took significant inspiration and used many components from Allan Zelener's github repository. The pretrained weights used in this exercise came from the official YOLO website.

- Joseph Redmon, Santosh Divvala, Ross Girshick, Ali Farhadi - You Only Look Once: Unified, Real-Time Object Detection (2015)
- Joseph Redmon, Ali Farhadi - YOLO9000: Better, Faster, Stronger (2016)
- Allan Zelener - YAD2K: Yet Another Darknet 2 Keras
- The official YOLO website (https://pjreddie.com/darknet/yolo/)