# One-Shot Object Detection with Co-Attention and Co-Excitation

## Contents

## Presented By

Gautam Bathla

## Background

Object Detection is a technique where the model gets an image as an input and outputs the class and location of all the objects present in the image.

**Figure 1:**Object Detection on an image

Figure 1 shows an example where the model identifies and locates all the instances of different objects present in the image successfully. It encloses each object within a bounding box and annotates each box with the class of the object present inside the box.

State-of-the-art object detectors are trained on thousands of images for different classes before the model can accurately predict the class and spatial location for unseen images belonging to the classes the model has been trained on. When a model is trained with K labeled instances for each of N classes, then this setting is known as N-way K-shot classification. K = 0 for zero-shot learning, K = 1 for one-shot learning and k > 1 for few-shot learning.

## Introduction

The problem this paper is trying to tackle is given a query image *p*, the model needs to find all the instances in the target image of the object in the query image. The target and query image do not need to be exactly the same and are allowed to have variations as long as they share some attributes so that they can belong to the same category. In this paper, the authors have made contributions to three technical areas. First is the use of non-local operations to generate better region proposals for the target image based on the query image. This operation can be thought of as a co-attention mechanism. The second contribution is proposing a Squeeze and Co-Excitation mechanism to identify and give more importance to relevant features to filter out relevant proposals and hence the instances in the target image. Third, the authors designed a margin-based ranking loss which will be useful for predicting the similarity of region proposals with the given query image irrespective of whether the label of the class is seen or unseen during the training process.

## Previous Work

All state-of-the-art object detectors are variants of deep convolutional neural networks. There are two types of object detectors:

1) Two-Stage Object Detectors: These types of detectors generate region proposals in the first stage whereas classify and refine the proposals in the second stage. Eg. FasterRCNN [1].

2) One Stage Object Detectors: These types of detectors directly predict bounding boxes and their corresponding labels based on a fixed set of anchors. Eg. CornerNet [2].

The work done to tackle the problem of few-shot object detection is based on transfer learning [3], meta-learning [4], and metric-learning.

1) Transfer Learning: Chen et al. [3] proposed a regularization technique to reduce overfitting when the model is trained on just a few instances for each class belonging to unseen classes.

2) Meta-Learning: Kang et al. [4] trained a meta-model to re-weight the learned weights of an image extracted from the base model.

3) Metric-Learning: These frameworks replace the conventional classifier layer with the metric-based classifier layer.

## Approach

Let 'C' be the set of classes for this object detection task. Since one-shot object detection task needs unseen classes during inference time, therefore we divide the set of classes into two categories as follows:

where [math]C_0[/math] represents the classes that the model is trained on and [math]C_1[/math] represents the classes on which the inference is done.

**Figure 2:**Architecture

Figure 2 shows the architecture of the model proposed in this paper. The architecture of this model is based on FasterRCNN [1] and ResNet-50 [5] has been used as the backbone for extracting features from the images. The target image and the query image are first passed through the ResNet-50 module to extract the features from the same convolutional layer. The features obtained are next passed into the Non-local block as input and the output consists of weighted features for each of the images. The new weighted feature set for both images is passed through Squeeze and Co-excitation block which outputs the re-weighted features which act as an input to the RPN module. RCNN module also consists of a new loss that is designed by the authors to rank proposals in order of their relevance.

#### Non-Local Object Proposals

The need for non-local object proposals arises because the RPN module used in Faster R-CNN [1] has access to bounding box information for each class in the training dataset. The dataset used for training and inference in the case of Faster R-CNN [1] is not exclusive. In this problem, as we have defined above that we divide the dataset into two parts, one part is used for training and the other is used during inference. Therefore, the classes in the two sets are exclusive. If the conventional RPN module is used, then the module will not be able to generate good proposals for images during inference because it will not have any information about the presence of bounding-box for those classes.

To resolve this problem, a non-local operation is applied to both sets of features. This non-local operation is defined as: \begin{align} y_i = \frac{1}{C(z)} \sum_{\forall j}^{} f(x_i, z_j)g(z_j) \tag{1} \label{eq:op} \end{align}

where *x* is a vector on which this operation is applied, *z* is a vector which is taken as an input reference, *i* is the index of output position, *j* is the index that enumerates over all possible positions, *C(z)* is a normalization factor, [math]f(x_i, z_j)[/math] is a pairwise function like Gaussian, Dot product, concatenation, etc., [math]g(z_j)[/math] is a linear function of the form [math]W_z \times z_j[/math], and *y* is the output of this operation.

Let the feature maps obtained from the ResNet-50 model be [math] \phi{(I)} \in R^{N \times W_I \times H_I} [/math] for target image *I* and [math] \phi{(p)} \in R^{N \times W_p \times H_p} [/math] for query image *p*. We can express the extended feature maps as:

\begin{align} {F(I) = \phi{(I)} \oplus \psi{(I;p)} \in R^{N \times W_I \times H_I}} \ \ ;\ \ {F(p) = \phi{(p)} \oplus \psi{(p;I)} \in R^{N \times W_p \times H_p}} \tag{2} \label{eq:o1} \end{align}

where *F(I)* denotes the extended feature map for target image *I*, *F(p)* denotes the extended feature map for query image *p* and [math]\oplus[/math] denotes element-wise sum over the feature maps [math]\phi{}[/math] and [math]\psi{}[/math]

As can be seen above, the extended feature set for the target image *I* do not only contain features from *I* but also the weighted sum of the target image and the query image. The same can be observed for the query image. This weighted sum is a co-attention mechanism and with the help of extended feature maps, better proposals are generated when inputted to the RPN module.

#### Squeeze and Co-Excitation

The two feature maps generated from the non-local block above can be further related by identifying the important channels and therefore, re-weighting the weights of the channels. This is the basic purpose of this module. The Squeeze layer summarizes each feature map by applying Global Average Pooling (GAP) on the extended feature map for the query image. The Co-Excitation layer gives attention to feature channels that are important for evaluating the similarity metric. The whole block can be represented as:

\begin{align} SCE(F(I), F(P)) = w \ \ ;\ \ F(\tilde{P}) = w \odot F(P) \ \ ;\ \ F(\tilde{I}) = w \odot F(I)\tag{3} \label{eq:op2} \end{align}

where *w* is the excitation vector, [math]F(\tilde{P})[/math] and [math]F(\tilde{I})[/math] are the re-weighted features maps for query and target image respectively.

In between the Squeeze layer and Co-Excitation layer, there exist two fully-connected layers followed by a sigmoid layer which helps to learn the excitation vector *w*. The *Channel Attention* module in the architecture is basically these fully-connected layers followed by a sigmoid layer.

#### Margin-based Ranking Loss

The authors have defined a two-layer MLP network ending with a softmax layer to learn a similarity metric which will help rank the proposals generated by the RPN module. In the first stage of training, each proposal is annotated with 0 or 1 based on the IoU value of the proposal with the ground-truth bounding box. If the IoU value is greater than 0.5 then that proposal is labeled as 1 (foreground) and 0 (background) otherwise.

Let *q* be the feature vector obtained after applying GAP to the query image patch obtained from the Squeeze and Co-Excitation block and *r* be the feature vector obtained after applying GAP to the region proposals generated by the RPN module. The two vectors are concatenated to form a new vector *x* which is the input to the two-layer MLP network designed. We can define *x = [[math]r^T;q^T[/math]]*. Let *M* be the model representing the two-layer MLP network, then *s = M(x)*, where *s* is the probability of being a foreground proposal based on the query image patch *q*.

The margin-based ranking loss is given by:

\begin{align} L_{MR}(\{x_i\}) = \sum_{i=1}^{K}y_i \times max\{m^+ - s_i, 0\} + (1-y_i) \times max\{s_i - m^-, 0\} + \delta_{i} \tag{4} \label{eq:op3} \end{align} \begin{align} \delta_{i} = \sum_{j=i+1}^{K}[y_i = y_j] \times max\{|s_i - s_j| - m^-, 0\} + [y_i \ne y_j] \times max\{m^+ - |s_i - s_j|, 0\} \tag{5} \label{eq:op4} \end{align}

where *[.]* is the Iversion bracket, i.e. the output will be 1 if the condition inside the bracket is true and 0 otherwise, [math]m^+[/math] is the expected upper bound probability for predicting a foreground proposal, [math]m^-[/math] is the expected lower bound probability for predicting a background proposal and *K* is the number of candidate proposals from RPN.

The total loss for the model is given as:

\begin{align} L = L_{CE} + L_{Reg} + \lambda \times L_{MR} \tag{6} \label{eq:op5} \end{align}

where [math]L_{CE}[/math] is the cross-entropy loss, [math]L_{Reg}[/math] is the regression loss for bounding boxes of Faster R-CNN and [math]L_{MR}[/math] is the margin-based ranking loss defined above.

For this paper, [math]m^+[/math] = 0.7, [math]m^-[/math] = 0.3, [math]\lambda[/math] = 3, K = 128, C(z) in \eqref{eq:op} is the total number of elements in a single feature map of vector *z*, and [math]f(x_i, z_j)[/math] in \eqref{eq:op} is a dot product operation.
\begin{align}
f(x_i, z_j) = \alpha(x_i)^T \beta(z_j)\ \ ;\ \ \alpha(x_i) = W_{\alpha}^T x_i \ \ ;\ \ \beta(z_j) = W_{\beta}^T z_j \tag{7} \label{eq:op6}
\end{align}

## Results

The model is trained and tested on two popular datasets, VOC and COCO. The ResNet-50 model was pre-trained on a reduced dataset by removing all the classes present in the COCO dataset, thus ensuring that the model has not seen any of the classes belonging to the inference images.

#### Results on VOC Dataset

**Table 1:**Results on VOC dataset

For the VOC dataset, the model is trained on the union of VOC 2007 train and validation sets and VOC 2012 train and validation sets, whereas the model is tested on VOC 2007 test set. From the VOC results (Table 1), it can be seen that even the pre-trained ResNet-50 on a reduced training set (Ours(725)) achieves better performance on seen and unseen classes than the baseline models. When the pre-trained ResNet-50 on the full training set (Ours(1K)) is used, then the performance of the model is increased significantly.

#### Results on MSCOCO Dataset

**Table 2:**Results on COCO dataset

The model is trained on the COCO train2017 set and evaluated on the COCO val2017 set. The classes are divided into four groups and the model is trained with images belonging to three splits, whereas the evaluation is done on the images belonging to the fourth split. From Table 2, it is visible that the model achieved better accuracy than the baseline model. But, the model is having some difficulties when predicting images belonging to classes like book (split2), handbag (split3), and tie (split4) because of variations in their shape, textures, and colors.

## Ablation Studies

#### Effect of all the proposed techniques on the final result

**Figure 3:**Effect of all thre techniques combined

Figure 3 shows the effect of the three proposed techniques on the evaluation metric. The model performs worst when neither Co-attention nor Co-excitation mechanism is used. But, when either Co-attention or Co-excitation is used then the performance of the model is improved significantly. The model performs best when all the three proposed techniques are used.

In order to understand the effect of the proposed modules, the authors analyzed each module separately.

#### Visualizing the effect of Non-local RPN

To demonstrate the effect of Non-local RPN, a heatmap of generated proposals is constructed. Each pixel is assigned the count of how many proposals cover that particular pixel and the counts are then normalized to generate a probability map.

**Figure 4:**Visualization of Non-local RPN

From Figure 4, it can be seen that when a non-local RPN is used instead of a conventional RPN, the model is able to give more attention to the relevant region in the target image.

#### Analyzing and Visualizing the effect of Co-Excitation

To visualize the effect of excitation vector *w*, it is calculated for all images in the inference set which are then averaged for the same classes, and a pair-wise Euclidean distance is calculated.

**Figure 5:**Visualization of Co-Excitation

From Figure 5, it can be observed that the Co-Excitation mechanism is able to assign meaningful weight distribution to each class. The weights for classes related to animals are closer to each other and the *person* class is not close to any other class because of the absence of common attributes between *person* and any other class in the dataset.

**Figure 6:**Analyzing Co-Exitation

To analyze the effect of Co-Excitation, the authors used two different scenarios. In the first scenario (Figure 6, left), the same target image is used for different query images. [math]p_1[/math] and [math]p_2[/math] query images have a similar color as the target image whereas [math]p_3[/math] and [math]p_4[/math] query images have a different color object as compared to the target image. When the pairwise Euclidean distance between the excitation vector in the four cases was calculated, then [math]w_2[/math] was closer to [math]w_1[/math] as compared to [math]w_4[/math] and [math]w_3[/math] was closer to [math]w_4[/math] as compared to [math]w_1[/math]. Therefore, it can be concluded that [math]w_1[/math] and [math]w_1[/math] give more importance to the texture of the object whereas [math]w_3[/math] and [math]w_4[/math] give more importance to channels representing the shape of the object.

The same observation can be analyzed in scenario 2 (Figure 6, right) where the same query image was used for different target images. [math]w_1[/math] and [math]w_2[/math] are closer to [math]w_a[/math] than [math]w_b[/math] whereas [math]w_3[/math] and [math]w_4[/math] are closer to [math]w_b[/math] than [math]w_a[/math]. Since images [math]I_1[/math] and [math]I_2[/math] have a similar color object as the query image, therefore we can say that [math]w_1[/math] and [math]w_2[/math] give more weightage to the channels representing the texture of the object, and [math]w_3[/math] and [math]w_4[/math] give more weightage to the channels representing shape.

## Conclusion

The resulting one-shot object detector outperforms all the baselines on VOC and COCO datasets. From the above approach used, we can see that training a model on thousands of images is not necessary to identify and locate the instances of objects in an image based on a query template. The authors have also provided insights about how the non-local proposals, serving as a co-attention mechanism, can generate relevant region proposals in the target image and put emphasis on the important features shared by both target and query image.

## Critiques

The techniques proposed by the authors improve the performance of the model significantly as we saw that when either of Co-attention or Co-excitation is used along with Margin-based ranking loss then the model can detect the instances of query object in the target image. Also, the model trained is generic and does not require any training/fine-tuning to detect any unseen classes in the target image. The loss metric designed makes the learning process not to rely on only the labels of images since the proposed metric annotates each proposal as a foreground or a background which is then used to calculate the metric.

## References

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