<p>It is the inner product which in this case is the dot product.</p>

CC BY-SA 4.0
2022-12-21T17:34:35.247Z
What’s your intended difference between inner product and dot product? What case they have to be interpreted differently?
cinch
CC BY-SA 4.0
2022-12-22T09:59:27.603Z
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.
Lutz Lehmann
CC BY-SA 4.0
2022-12-20T06:54:20.937Z
2022-12-20T06:54:20.937Z
Nils André
<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>

<neural-networks><machine-learning><papers><math><notation>
What does this bracket notation $\langle\phi(x),v\rangle$ mean?
Nils André
# 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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