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Johnson-Lindenstrauss-Lemma

Posted on 2018-06-14 |

A counter-intuitive fact

Johnson Lindenstrauss Lemma

Proof

References

  1. course stuffs/Johnson-Lindenstrauss_Theorem)

Anatomy of YOLO Detector

Posted on 2018-05-30 |

Sliding window or attention mechanism ?

Idea of YOLO Detector

Classic object detection task normally has two steps, which are classify the content of region of interests (ROI) by e.g. CNN, and locate the ROI by e.g. “scanning with sliding window”.
Yolo uses a reasonable strong spatial constrains to merge these two steps into one step, and process the original image only once (input image to NN once), which literally means “You Only Look Once” (YOLO).
For the short explanation, Yolo divides the image into $S \times S$ grids, and suppose each cell of the grid take responsibility for the detection of objectness and classification of objects.

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fully-convelutional-neural-network

Posted on 2018-03-13 |

freed from fully connected layers

Idea of FCN

Improvement

Implementation

PSPnet

Bayes Inference by Hand

Posted on 2016-09-30 |

Too much information every day, I have to backup some sections of my brain here.

An interesting quiz

In a course by Prof. Isbell and Prof. Littman, I found a quiz as quite an good example to understand Bayes inference. Hence I post my deduction here as an archive.

The quiz is, there are two black boxes. In box 1 there are 3 green balls and 1 orange ball. In box 2 there are 3 blue balls and 2 green balls. The question is, when we randomly picked balls from one unknown box, we noticed that the first ball is green, what is the probability that the second picked ball is blue. Note, here $Pr(box=1)=Pr(box=2)=0.5$ is given.

Drawing

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Intuition behind Lagrange Duality

Posted on 2016-09-10 |

We all knew what to do, but don’t ask me why. Or you insist?

Mysterious “dual”

Suppose we are going to solve the optimization problem
$$\begin{equation} \min_x f(x) \\ s.t. \space h_i(x) \leq 0, \space i=1 \ldots m \\ \mathcal{D}=\text{dom }f\cap \bigcap_{i=1}^{m}\text{dom }h_i \end{equation}$$

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Zhiliang Zhou

Thinking and Archives about Fundamental Mathematic, Machine Learning and Autonomous Driving

5 posts
3 tags
© 2018 Zhiliang Zhou
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