Featured

## Sticky Note of Questions

KNOWLEDGE REPRESENTATION http://groups.csail.mit.edu/medg/ftp/psz/k-rep.html MACHINE LEARNING Có vấn đề nào có thể giải quyết bằng Supervised Learning mà không thể giải quyết bằng Unsupervised Learning không? ANSWER. In Bias-Variance Decomposition, what if the hypothesis set is more complex than the hypothesis and the average final hypothesis is far from target function than ? It looks like [...]

## [Notes] Cracking the GRE Mathematics Subject Test – Steve Leduc

Page 172: http://farside.ph.utexas.edu/teaching/sm1/lectures/node36.html#e4.32

## An intuition to an tangent plane to a surface

To me: Page 126 of Cracking the GRE Math Subject Test. A rigorous proof can be found here (Calculus, Howard Anton). A note of stress should be on “any smooth curve C on the surface”. Below is my attempt interpretation before looking at any proofs. While it cannot be considered as a proof, it shows [...]

## Proof of lower-rank matrix factorization

Let and and  , prove that . We can determine  by applying row operations on . First, we will let the second row of  after the first row operation be: . Next, the third row of  after the second row operation would be: . Soon, we will come to () which is a linear combination [...]

## Entropy 2016, bảng A

It took me quite a lot of time to understand the question, though. I do not post the test here as I am not sure if I am permitted to do that. This post serves for my personal use. Even though the original questions are written in Vietnamese, I will be writing my solutions in [...]

## How to highlight column and row of your active cell in Excel 2016

Words of caution: I’m no VBA expert, use the code at your own risk. Credits and References: Hightlight active row/column in Excel without using VBA? Force a screen update in Excel VBA Application.ScreenUpdating can dramatically speed up your code (please do not be misled by the title) You can google more about how to apply VBA code in [...]

## Triplet Loss’ derivative of VGG Face

We starts with the formula (1) of the paper.     We have:             By chain rule, we have:     We also have: – the th element of .   – the th element of . So:

## [Notes] Learning From Data – A Short Course: e-Chapter 9

Page 30: Why ? My understanding:   as the events and are independent, the same goes for the event . Note that both data points and may exist in dataset so if is a deterministic hypothesis then it is obviously  as . If is a non-deterministic hypothesis,  is still independent from the random target function (even “ are [...]

## Learning From Data – A Short Course: Exercise 9.6

Try to build some intuition for what the rotation is doing by using the illustrations in Figure 9.1 to qualitatively answer these questions. (a) If there is a large offset (or bias) in both measured variables, how will this affect the ‘natural axes’, the ones to which the data will be rotated? Should you perform [...]

## Learning From Data – A Short Course: Exercise 9.4

Let and  be independent with zero mean and unit variance. You measure inputs and . (a) What are variance (), variance () and covariance ? First, we have:                 Now, we consider and get: Expected values:             Variance:           [...]