Answers.Body: <p>It is the inner product which in this case is the dot product.</p>
  
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Answers.CreationDate: 2022-12-21T17:34:35.247Z
Answers.Text: What’s your intended difference between inner product and dot product? What case they have to be interpreted differently?
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Answers.CreationDate: 2022-12-22T09:59:27.603Z
Answers.Text: Often the simplified notations $a^Tb$ or $a·b$ are used for the Euklidean scalar product, while the braket notation is used for a general scalar product with an s.p.d. matrix in the middle.
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Answers.UserDisplayName: Nils André
Body: <p>I found it at the bottom of page 2 of the paper <a href="https://arxiv.org/pdf/1312.6199.pdf" rel="nofollow noreferrer">Intriguing properties of neural networks</a> (2014), in the form of</p>
  <p><span class="math-container">$$\underset{x\in\mathcal{I}}{\mathrm{arg\,max}}\langle\phi(x),v\rangle$$</span></p>
  
Tags: <neural-networks><machine-learning><papers><math><notation>
Title: What does this bracket notation $\langle\phi(x),v\rangle$ mean?
UserDisplayName: Nils André
ThreadText: # What does this bracket notation $\langle\phi(x),v\rangle$ mean?
  
  (Asked by: username_0 on 2022-12-20)
  
  I found it at the bottom of page 2 of the paper [Intriguing properties of neural networks](https://arxiv.org/pdf/1312.6199.pdf) (2014), in the form of
  
  $$\underset{x\in\mathcal{I}}{\mathrm{arg\,max}}\langle\phi(x),v\rangle$$
  
  **Tags:** neural-networks, machine-learning, papers, math, notation
  
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  ## 1 answers
  
  ### Answer by username_0 on 2022-12-20. Score: 1
  
  It is the inner product which in this case is the dot product.
  
  > **Comments:**
  > **username_1**: What’s your intended difference between inner product and dot product? What case they have to be interpreted differently?  
  > **username_2**: Often the simplified notations $a^Tb$ or $a·b$ are used for the Euklidean scalar product, while the braket notation is used for a general scalar product with an s.p.d. matrix in the middle.  
  
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