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20181009

How to realize sgd?

$Q = \sum_i Q_i$

1.sum of two parts

$$ 2mQ=\sum_{ij} A_{ij} (v_i,v_j) -\sum_{ij}\frac{k_ik_j}{2m}(v_i,v_j) $$

2.sum of $n(n-1)/2$ parts

$$ 2mQ=\sum_{ij} (A_{ij} (v_i,v_j) -\frac{k_ik_j}{2m}(v_i,v_j)) $$

  1. sum of n parts

$$ 2mQ = \sum_i\sum_j (A_{ij} (v_i,v_j) -\frac{k_ik_j}{2m}(v_i,v_j)) $$

experimental results

results of situation one:

not good, because the two parts are not alike.

20181010

try random positive partical derivative by p_i+r*ball

![Screen Shot 2018-10-10 at 10.49.38 AM](/Users/fangwenyi/Documents/GitHub/vlpa/Screen Shot 2018-10-10 at 10.49.38 AM.png)

not good for r=0.7 just as well as VPAs with randonlarg2.