Denote the expectation by
Denote the variance by
Further, define the standard deviation
{ | |
"aixbt@aixbt_agent": { | |
"user_id": "1852674305517342720", | |
"username": "aixbt_agent", | |
"yaps_all": 24515.98, | |
"yaps_l24h": 64.35, | |
"yaps_l48h": 107.54, | |
"yaps_l7d": 363.15, | |
"yaps_l30d": 1701.74, | |
"yaps_l3m": 8689.35, |
""" | |
Below you find the Somnia 7-day top-100 yappers rankings for several dozen of days. | |
Ask me for an update at @ErnstKummer on X: | |
https://x.com/ErnstKummer/status/1909233792771936471 | |
The last entry is currently from the 7th of April. | |
I started grabbing them on 22th of March, one or two per day. | |
The data here is written down in the form of a python dict which one can simply import. | |
This format is really almost the same as a JSON, |
""" | |
Code explained in | |
https://youtu.be/tSyMnVd6DsY | |
* Theorem: | |
V := CDF_X^{-1}(U), with U from the uniform distirbution on [0,1], has same distribution as X. | |
Proof: | |
* Note: {r \in Q | sqrt{3} < r} = {r \in Q | 3 < r^2} | |
* Pr(V <= x) = Pr(CDF_X^{-1}(U) <= x) = Pr(U <= CDF_X(x)) = CDF_X(x) |
Denote the expectation by
Denote the variance by
Further, define the standard deviation
import re | |
from selenium import webdriver | |
from webdriver_manager.chrome import ChromeDriverManager | |
from selenium.webdriver.chrome.service import Service | |
import time | |
class Config: | |
URL = "https://testnet.somnia.network/memecoins" | |
TMP_FILE_PATH = "/path/to/write/somnia_memecoin_page_tmp.html" |
Script discussed in the video:
==== Bayesian calculus vs Propositional logic ====
Idea: Logical implications are akin to Conditional probabilities.
Reading:
import random | |
from scipy import special | |
import matplotlib.pyplot as plt | |
import numpy as np | |
def l1_normalize(finite_stream): | |
lst = list(finite_stream) | |
return np.array(lst) / sum(lst) |
==== Integration by parts ====
=== Score ===
Mappings out of V_6 | |
input cardinality = 0 | |
(#1) [] ↦ [] | |
input cardinality = 1 | |
(#2) [[]] ↦ [[[]]] | |
(#3) [[[]]] ↦ [[]] |
Links of the pages in the video:
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Interpreting and Improving Diffusion Models from an Optimization Perspective >