<p>The CNN is rotation-invariant providing all convolution kernel with a property K = T{K} (e.g., use of symmetrical kernels) and replace the 1st flatten layer with a merge convolution layer. I called it transformation-identical CNN (TI-CNN), <a href="https://arxiv.org/abs/1806.03636" rel="nofollow noreferrer">https://arxiv.org/abs/1806.03636</a> and <a href="https://arxiv.org/abs/1807.11156" rel="nofollow noreferrer">https://arxiv.org/abs/1807.11156</a></p>
<p>If you wish to establish a rotation-identical CNN (virtually arbitrary small angle), I would introduce the geared rotation-identical CNN (GRI-CNN) <a href="https://arxiv.org/abs/1808.01280" rel="nofollow noreferrer">https://arxiv.org/abs/1808.01280</a></p>
Are modern CNN (convolutional neural network) as DetectNet rotate invariant?
<p>As known nVidia DetectNet - CNN (convolutional neural network) for object detection is based on approach from Yolo/DenseBox: <a href="https://devblogs.nvidia.com/parallelforall/deep-learning-object-detection-digits/" rel="noreferrer">https://devblogs.nvidia.com/parallelforall/deep-learning-object-detection-digits/</a></p>

<blockquote>
  <p>DetectNet is an extension of the popular GoogLeNet network. The
  extensions are similar to approaches taken in the <strong>Yolo and DenseBox</strong>
  papers.</p>
</blockquote>

<p>And as shown here, DetectNet can detects objects (cars) with any rotations: <a href="https://devblogs.nvidia.com/parallelforall/detectnet-deep-neural-network-object-detection-digits/" rel="noreferrer">https://devblogs.nvidia.com/parallelforall/detectnet-deep-neural-network-object-detection-digits/</a></p>

<p><a href="https://i.stack.imgur.com/lsz4u.jpg" rel="noreferrer"><img src="https://i.stack.imgur.com/lsz4u.jpg" alt="enter image description here"></a></p>

<p>Are modern CNN (convolutional neural network) as DetectNet rotate invariant?</p>

<p>Can I train DetectNet on thousands different images with one the same rotation angle of object, to detect objects on any rotation angles?</p>

<p><a href="https://i.stack.imgur.com/ZHpEs.jpg" rel="noreferrer"><img src="https://i.stack.imgur.com/ZHpEs.jpg" alt="enter image description here"></a></p>

<p>And what about rotate invariant of: Yolo, Yolo v2, DenseBox on which based DetectNet?</p>