13.2 How vector images change

Content and key concepts

On the previous page, the number becomes the table line.
So let's try to predict the neighbouring words and correct the coordinates by mistake, and it looks like it's coming from a problem and data, not from the names of the axles.
Table E stores the coordinate line for each ID. These coordinates are taught. The familiar cosine is now used for the specific task of finding close representations.
Для изменения рисунка включитеJavaScript; расчёт и теория доступны далее.
The vector is useful in relation to the task
Skip-gram links the central word to the neighbors. Each unit has an e_c input vector and an u_j output. In our small version, the probability of a single token is determined by a full softmax for six candidates:
z
j
=
e
c
T
u
j
,
p
j
=
e
z
j
∑
r
e
z
r
,
L
(
c
,
t
)
=
−
ln
⁡
p
t
.
z_j=e_c^Tu_j,\quad p_j=\frac{e^{z_j}}{\sum_r e^{z_r}},\quad L(c,t)=-\ln p_t.
z
j
​
=
e
c
T
​
u
j
​
,
p
j
​
=
∑
r
​
e
z
r
​
e
z
j
​
​
,
L
(
c
,
t
)
=
−
ln
p
t
​
.
The L04 also discusses negative sampling and other accelerations; there are no. Dataset consists of four short sentences, a window that is symmetrically, a total of 12 directed pairs. The average CE is calculated for all pairs and the true full-batch GD for E and U. This is 36 pairs, not downloaded Word2Vec webs.
Since .L/x_j=p_j-1[j=t] received by
For e=[1.0],U=[ 1.0],[0.1],target1 scores[1.0]. p0E.731059, p1E.268941,lossE1.313262, gradient pe=[p0, - p0].
Research.
Go through one subdate, compare both tables and loss. Then increase the budget. Reducing the training CE does not prove a full understanding of Russian: the hull is small and mixed. Geometry is determined by task, data, and initialization.
from math import exp,log
p0=exp(1)/(exp(1)+1)
loss=log(exp(1)+1)
assert abs(loss-1.3132616875182228)<1e-12
gradient=[p0,-p0]
The code repeats the operations just taken care of.
Completely checked Python-example Chapter
Available with a separate file; the short piece shown does not replace its implementation.
The vector tables are indeed updated by the average CE12par.
How does this matter continue?
Python examples of Chapter 13
Academic base