Initializing convolutional layers in CNN - deep-learning

Is there a function to initialize weights of a convolutional layer to focus more on information closer to the center of input images?
All my input images are centered, so pixels further away from the center of an image matter less than pixels closer to the center.

Please see the GIFs here for a demonstration of convolutions:
https://github.com/vdumoulin/conv_arithmetic#convolution-animations
As you can see, convolutions operate the same regardless of the position in the image, so weight initialization cannot change the focus of the image.
It is also not advisable to rush into thinking about what the net will and won't need to learn your task. There are sometimes surprising amounts of signal outside what you as a human might focus on. I would suggest training the net and seeing how it performs, and then (as others have suggested) thinking about cropping.

Is there a function to initialize weights of a convolutional layer to focus more on information closer to the center of input images?
This is not possible because, initialization is there just to trigger the process of learning.
Model however, is the one that can have functions, achieving the the attention.
You don't need to initialize conv. layers also because in PyTorch this is already done automatically.

Related

YOLOV1 theory of 2 bounding box predictors in each grid cell and its possible power as psuedo anchor boxes

After YOLO1 there was a trend of using anchor boxes for a while in other iterations as priors (I believe the reason was to both speed up the training and detect different sized objects better)
However YOLOV1 has an interesting mechanism where there are k number of bounding box predictors sliding each grid cell in order to be able to specialize in detecting different scaled objects.
Here is what I wonder, ladies and gentlemen:
Given a very long training time, can these bounding box predictors in YOLOV1 achieve better bounding boxes compared to YOLOV9000 or its counterparts that rely on anchor box mechanism
In my experience, yes they can. I observed two possible optimization paths, one of which is already implemented in latest version of YOLOV3 and V5 by Ultralytics (https://github.com/ultralytics/yolov5)
What I observed was that for a YOLOv3, even before training, using a K means clustering we can ascertain a number of ``common box'' shapes. These data when fed into the network as anchor maskes really improved the performance of the YOLOv3 network for "that particular" dataset since the non-max suppression routine had much better chance of succeeding at filtering out spurious detection for particular classes in each of the detection head. To the best of my knowledge, this technique was implemented in latest iterations of their bounding box regression code.
Suppressing certain layers. In YOLOv3, the network performed detection in three stages with the idea of progressively detecting larger objects to smaller objects. YOLOv3 (and in theory V1) can benefit if with some trial and error, you can ascertain which detection head is your network preferring to use based on the common bounding box shapes that you found in step 1.

U-net how to understand the cropped output

I'm looking for U-net implementation for landmark detection task, where the architecture is intended to be similar to the figure above. For reference please see this: An Attention-Guided Deep Regression Model for Landmark Detection in Cephalograms
From the figure, we can see the input dimension is 572x572 but the output dimension is 388x388. My question is, how do we visualize and correctly understand the cropped output? From what I know, we ideally expect the output size is the same as input size (which is 572x572) so we can apply the mask to the original image to carry out segmentation. However, from some tutorial like (this one), the author recreate the model from scratch then use "same padding" to overcome my question, but I would prefer not to use same padding to achieve same output size.
I couldn't use same padding because I choose to use pretrained ResNet34 as my encoder backbone, from PyTorch pretrained ResNet34 implementation they didn't use same padding on the encoder part, which means the result is exactly similar as what you see in the figure above (intermediate feature maps are cropped before being copied). If I would to continue building the decoder this way, the output will have smaller size compared to input image.
The question being, if I want to use the output segmentation maps, should I pad its outside until its dimension match the input, or I just resize the map? I'm worrying the first one will lost information about the boundary of image and also the latter will dilate the landmarks predictions. Is there a best practice about this?
The reason I must use a pretrained network is because my dataset is small (only 100 images), so I want to make sure the encoder can generate good enough feature maps from the experiences gained from ImageNet.
After some thinking and testing of my program, I found that PyTorch's pretrained ResNet34 didn't loose the size of image because of convolution, instead its implementation is indeed using same padding. An illustration is
Input(3,512,512)-> Layer1(64,128,128) -> Layer2(128,64,64) -> Layer3(256,32,32)
-> Layer4(512,16,16)
so we can use deconvolution (or ConvTranspose2d in PyTorch) to bring the dimension back to 128, then dilate the result 4 times bigger to get the segmentation mask (or landmarks heatmaps).

Determining position of anchor boxes in original image using downsampled feature map

From what I have read, I understand that methods used in faster-RCNN and SSD involve generating a set of anchor boxes. We first downsample the training image using a CNN and for every pixel in the downsampled feature map (which will form the center for our anchor boxes) we project it back onto the training image. We then draw the anchor boxes centered around that pixel using our pre-determined scales and ratios. What I dont understand is why dont we directly assume the centers of our anchor boxes on the training image with a suitable stride and use the CNN to only output the classification and regression values. What are we gaining by using the CNN to determine the centers of our anchor boxes which are ultimately going to be distributed evenly on the training image ?
To state more clearly -
Where will the centers of our anchor boxes be on the training image before our first prediction of the offset values and how do we decide those?
I think the confusion comes from this:
What are we gaining by using the CNN to determine the centers of our anchor boxes which are ultimately going to be distributed evenly on the training image
The network usually doesn't predict centers but corrections to a prior belief. The initial anchor centers are distributed evenly across the image, and as such don't fit the objects in the scene tightly enough. Those anchors just constitute a prior in the probabilistic sense. What your network will exactly output is implementation dependent, but will likely just be updates, i.e. corrections to those initial priors. This means that the centers that are predicted by your network are some delta_x, delta_y that adjust the bounding boxes.
Regarding this part:
why dont we directly assume the centers of our anchor boxes on the training image with a suitable stride and use the CNN to only output the classification and regression values
The regression values should still contain sufficient information to determine a bounding box in a unique way. Predicting width, height and center offsets (corrections) is a straightforward way to do it, but it's certainly not the only way. For example, you could modify the network to predict for each pixel, the distance vector to its nearest object center, or you could use parametric curves. However, crude, fixed anchor centers are not a good idea since they will also cause problems in classification, as you use them to pool features that are representative of the object.

how to format the image data for training/prediction when images are different in size?

I am trying to train my model which classifies images.
The problem I have is, they have different sizes. how should i format my images/or model architecture ?
You didn't say what architecture you're talking about. Since you said you want to classify images, I'm assuming it's a partly convolutional, partly fully connected network like AlexNet, GoogLeNet, etc. In general, the answer to your question depends on the network type you are working with.
If, for example, your network only contains convolutional units - that is to say, does not contain fully connected layers - it can be invariant to the input image's size. Such a network could process the input images and in turn return another image ("convolutional all the way"); you would have to make sure that the output matches what you expect, since you have to determine the loss in some way, of course.
If you are using fully connected units though, you're up for trouble: Here you have a fixed number of learned weights your network has to work with, so varying inputs would require a varying number of weights - and that's not possible.
If that is your problem, here's some things you can do:
Don't care about squashing the images. A network might learn to make sense of the content anyway; does scale and perspective mean anything to the content anyway?
Center-crop the images to a specific size. If you fear you're losing data, do multiple crops and use these to augment your input data, so that the original image will be split into N different images of correct size.
Pad the images with a solid color to a squared size, then resize.
Do a combination of that.
The padding option might introduce an additional error source to the network's prediction, as the network might (read: likely will) be biased to images that contain such a padded border.
If you need some ideas, have a look at the Images section of the TensorFlow documentation, there's pieces like resize_image_with_crop_or_pad that take away the bigger work.
As for just don't caring about squashing, here's a piece of the preprocessing pipeline of the famous Inception network:
# This resizing operation may distort the images because the aspect
# ratio is not respected. We select a resize method in a round robin
# fashion based on the thread number.
# Note that ResizeMethod contains 4 enumerated resizing methods.
# We select only 1 case for fast_mode bilinear.
num_resize_cases = 1 if fast_mode else 4
distorted_image = apply_with_random_selector(
distorted_image,
lambda x, method: tf.image.resize_images(x, [height, width], method=method),
num_cases=num_resize_cases)
They're totally aware of it and do it anyway.
Depending on how far you want or need to go, there actually is a paper here called Spatial Pyramid Pooling in Deep Convolution Networks for Visual Recognition that handles inputs of arbitrary sizes by processing them in a very special way.
Try making a spatial pyramid pooling layer. Then put it after your last convolution layer so that the FC layers always get constant dimensional vectors as input . During training , train the images from the entire dataset using a particular image size for one epoch . Then for the next epoch , switch to a different image size and continue training .

Cesium Resampling

I know that Cesium offers several different interpolation methods, including linear (or bilinear in 2D), Hermite, and Lagrange. One can use these methods to resample sets of points and/or create curves that approximate sampled points, etc.
However, the question I have is what method does Cesium use internally when it is rendering a 3D scene and the user is zooming/panning all over the place? This is not a case where the programmer has access to the raster, etc, so one can't just get in the middle of it all and call the interpolation functions directly. Cesium is doing its own thing as quickly as it can in response to user control.
My hunch is that the default is bilinear, but I don't know that nor can I find any documentation that explicitly says what is used. Further, is there a way I can force Cesium to use a specific resampling method during these activities, such as Lagrange resampling? That, in fact, is what I need to do: force Cesium to employ Lagrange resampling during scene rendering. Any suggestions would be appreciated.
EDIT: Here's a more detailed description of the problem…
Suppose I use Cesium to set up a 3-D model of the Earth including a greyscale image chip at its proper location on the model Earth's surface, and then I display the results in a Cesium window. If the view point is far enough from the Earth's surface, then the number of pixels displayed in the image chip part of the window will be fewer than the actual number of pixels that are available in the image chip source. Some downsampling will occur. Likewise, if the user zooms in repeatedly, there will come a point at which there are more pixels displayed across the image chip than the actual number of pixels in the image chip source. Some upsampling will occur. In general, every time Cesium draws a frame that includes a pixel data source there is resampling happening. It could be nearest neighbor (doubt it), linear (probably), cubic, Lagrange, Hermite, or any one of a number of different resampling techniques. At my company, we are using Cesium as part of a large government program which requires the use of Lagrange resampling to ensure image quality. (The NGA has deemed that best for its programs and analyst tools, and they have made it a compliance requirement. So we have no choice.)
So here's the problem: while the user is interacting with the model, for instance zooming in, the drawing process is not in the programmer's control. The resampling is either happening in the Cesium layer itself (hopefully) or in even still lower layers (for instance, the WebGL functions that Cesium may be relying on). So I have no clue which technique is used for this resampling. Worse, if that technique is not Lagrange, then I don't have any clue how to change it.
So the question(s) would be this: is Cesium doing the resampling explicitly? If so, then what technique is it using? If not, then what drawing packages and functions are Cesium relying on to render an image file onto the map? (I can try to dig down and determine what techniques those layers may be using, and/or have available.)
UPDATE: Wow, my original answer was a total misunderstanding of your question, so I've rewritten from scratch.
With the new edits, it's clear your question is about how images are resampled for the screen while rendering. These
images are texturemaps, in WebGL, and the process of getting them to the screen quickly is implemented in hardware,
on the graphics card itself. Software on the CPU is not performant enough to map individual pixels to the screen
one at a time, which is why we have hardware-accelerated 3D cards.
Now for the bad news: This hardware supports nearest neighbor, linear, and mapmapping. That's it. 3D graphics
cards do not use any fancier interpolation, as it needs to be done in a fraction of a second to keep frame rate as high as possible.
Mapmapping is described well by #gman in his article WebGL 3D Textures. It's
a long article but search for the word "mipmap" and skip ahead to his description of that. Basically a single image is reduced
into smaller images prior to rendering, so an appropriately-sized starting point can be chosen at render time. But there will
always be a final mapping to the screen, and as you can see, the choices are NEAREST or LINEAR.
Quoting #gman's article here:
You can choose what WebGL does by setting the texture filtering for each texture. There are 6 modes
NEAREST = choose 1 pixel from the biggest mip
LINEAR = choose 4 pixels from the biggest mip and blend them
NEAREST_MIPMAP_NEAREST = choose the best mip, then pick one pixel from that mip
LINEAR_MIPMAP_NEAREST = choose the best mip, then blend 4 pixels from that mip
NEAREST_MIPMAP_LINEAR = choose the best 2 mips, choose 1 pixel from each, blend them
LINEAR_MIPMAP_LINEAR = choose the best 2 mips. choose 4 pixels from each, blend them
I guess the best news I can give you is that Cesium uses the best of those, LINEAR_MIPMAP_LINEAR to
do its own rendering. If you have a strict requirement for more time-consuming imagery interpolation, that means you
have a requirement to not use a realtime 3D hardware-accelerated graphics card, as there is no way to do Lagrange image interpolation during a realtime render.