get_top3_MTfromX.py

import numpy as np
import matplotlib.pyplot as plt
from matplotlib.collections import PatchCollection
from matplotlib.patches import Rectangle
from matplotlib.cm import get_cmap
from scipy.special import expit
from matplotlib.colors import ListedColormap,LinearSegmentedColormap
import constants

plt.rc('font', family='serif')
plt.rc('xtick', labelsize='x-small')
plt.rc('ytick', labelsize='x-small')

def gini(populations, accuracy):
    assert(len(populations) == len(accuracy))
    N = len(populations)
    sum_nom = 0
    sum_denom = 0
    for i in range(N):
        for j in range(N):
            sum_nom += populations[i] * populations[j] * np.abs(accuracy[i]-accuracy[j])
        sum_denom += populations[i]*accuracy[i]
    return sum_nom/(2*np.sum(populations)*sum_denom)

def METRIC(populations,accuracy):
    # normalized populations (sum to 1)
    # normalized accuracy (max is 1)
    mu = 0
    area_covered = []
    area_missing = []
    for p,a in zip(populations, accuracy):
        mu += p*a
        area_covered.append(p*a)
        area_missing.append(p*(1-a))
    return mu, area_covered, area_missing 

task='mt_to_eng'
total_lang = -1


TOTAL_POPULATION = constants.TOTAL_POPULATION/1000000

all_populations = constants.read_mt_populations()
languages = constants.get_mt_languages()
languageso = constants.get_mt_languages()
pop_denom = constants.TOTAL_POPULATION /1000000
all_bleus = constants.read_triangulated_BLEUs()

L = 'spa'
languages.remove(L)

populationso = [all_populations[l] for l in languages]
accuracyo = [all_bleus[L,l] for l in languages]

if total_lang == -1:
    TOTAL_LANGS = len(languages)
else:
    TOTAL_LANGS = 1000


def include_diversity(l, T=1):
    acc_arr = np.array(l)
    acc_arr = [f**T for f in acc_arr]
    N = sum(acc_arr)
    acc_arr = [f/N for f in acc_arr]
    return list(acc_arr)


langs_to_show = set()

temperatures = list(np.flip(np.arange(1,11)/10)) + [0.01]
#temperatures = [1,0.1]

for temperature in temperatures:
    remaining = TOTAL_LANGS - len(languages)    
    # remaining = 28
    accuracy = accuracyo + [0]*remaining
    languages = languageso + ['rest']*remaining
    if remaining:
        tosplit = (TOTAL_POPULATION - sum(populationso))/remaining
        populations = populationso + [tosplit]*remaining
    else:
        populations = list(populationso)

    populations = include_diversity(populations, T=temperature)

    
    inds = np.flip(np.argsort(accuracy))
    populations = [populations[i] for i in inds]
    accuracies = [accuracy[i] for i in inds]
    languages = [languages[i] for i in inds]
    
    N = np.sum(populations)
    old_populations = [p/N for p in populations]

    populations = include_diversity(old_populations, T=temperature)
    gini_coeff = gini(np.array(populations)*N, accuracies)

    #normalize accuracy
    M = max(accuracies)
    accuracies = [a/M for a in accuracies]


    MU, area_covered, area_missing = METRIC(populations, accuracies)

    #print(f"Total area covered: M={sum(area_covered)}")
    #print(f"Total area missing: RoI={sum(area_missing)}")

    '''
    inds = np.flip(np.argsort(area_covered))
    print(f"Top 10 Covered with tau = {temperature}")
    for i in inds[:10]:
        print(f"{i}\t{languages[i]}\t{area_covered[i]}\t{area_missing[i]}")
    '''

    inds = np.flip(np.argsort(area_missing))
    print(f"Top 3 Missing with tau = {temperature}")
    for i in inds[:3]:
        print(f"\t{i}\t{languages[i]}\t{area_missing[i]}")