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import torch | |
from torch.autograd import Function | |
import torch.nn.functional as F | |
@torch.no_grad() | |
def _find_ts(xs, ks, binary_iter=16, newton_iter=1): | |
n = xs.shape[-1] | |
assert torch.all((0 < ks) & (ks < n)), "We don't support k=0 or k=n" | |
# Lo should be small enough that all sigmoids are in the 0 area. |
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import itertools | |
dp = [0] * 2**12 | |
dp[0] = 1 | |
for state in range(1, 2**12): | |
for d1, d2 in itertools.product(range(6), repeat=2): | |
o = 0 | |
s = d1 + d2 + 1 | |
if s < 12 and state & (1 << s): | |
o = max(o, dp[state & ~(1 << s)]) |
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import numpy as np | |
import scipy.linalg as sla | |
theta_m = {3: 1.5e-2, 5: 5.4e-1, 7: 9.5e-1, 9: 2.1e0, 13: 5.4e0} | |
pade_coefficients = { | |
3: [120, 60, 12, 1], | |
5: [30240, 15120, 3360, 420, 30, 1], | |
7: [17297280, 8648640, 1995840, 277200, 25200, 1512, 56, 1], | |
9: [17643225600, 8821612800, 2075673600, 302702400, 30270240, 2162160, 110880, 3960, 90, 1], |
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def nonlocals(): | |
import inspect | |
stack = inspect.stack() | |
if len(stack) < 3: return {} | |
f = stack[2][0] | |
res = {} | |
while f.f_back: | |
res.update({k:v for k,v in f.f_locals.items() if k not in res}) | |
f = f.f_back | |
return res |
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\usepackage{graphicx} | |
\newcommand{\shortslash}{\raisebox{0.2ex}{\scalebox{0.65}{/}}} | |
\newcommand{\notdivides}{\!\mathrel{\backslash\kern-0.4em\shortslash}\!} | |
\newcommand{\notdividesTim}{\!\!\mathrel{\rotatebox[origin=c]{20}{$\nmid$}}\!\!} | |
\def\notdividesHeinrich{\mathpalette\notdiv\relax} | |
\let\divides=\backslash | |
\def\notdiv#1#2{\setbox0=\hbox{$#1\divides$}% | |
\vcenter{\hbox to\wd0{\hss$\scriptscriptstyle/\hss$}}\kern-\wd0 |
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import tqdm | |
import torch | |
import torch.nn as nn | |
import torch.optim as optim | |
import argparse | |
import torchdata.datapipes as dp | |
from torch.utils.data import DataLoader | |
from torch.nn import functional as F | |
import pytorch_lightning as pl | |
import random |
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import numpy as np | |
def quartic(y, n1, n2, ip): | |
"""A solution to the equation | |
n1 x2 + n2 (1 - x2) + 2 ip sqrt(x2 (1 - x2)) == y | |
""" | |
assert n2 <= y <= n1 | |
d = np.sign(ip) * (ip**4 + ip**2 * (n1 - y) * (y - n2)) ** 0.5 | |
x2 = (2 * ip**2 + (n1 - n2) * (y - n2) - 2 * d) / (4 * ip**2 + (n1 - n2) ** 2) |
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import matplotlib.pyplot as plt | |
import numpy as np | |
import pandas as pd | |
import sklearn.metrics | |
def upper(xs, ys, convex=True): | |
i = np.argsort(xs) | |
ys = ys[i] | |
xs = xs[i] |
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import numpy as np | |
from sklearn.cluster import KMeans | |
from sklearn.metrics.pairwise import euclidean_distances | |
import collections | |
def kl_means(X, k:int, l:int, policy:str): | |
n, d = X.shape | |
km = KMeans(k).fit(X) | |
centers = km.cluster_centers_ / l | |
labels = np.stack([km.labels_] * l).T |
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import torch.nn as nn | |
class TestModule(nn.Module): | |
def __init__(self): | |
super().__init__() | |
self.a = nn.Linear(10, 10) | |
self.b = SubTestModule() | |
class SubTestModule(nn.Module): | |
def __init__(self): |