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How to plot a "heatmap" of thousands of timeseries in python?

I am looking for a way to visualize, for the lack of a better word, the "density" or "heatmap" of some synthetic time series I have created.
I have a loop that creates a list, which are values of one time series. I don't think it matters but just in case, here is the code of what's going on. This is a Markov Process, so with each i, which represents the hour, i create a new value, depending on the former i and state:
for x in range(10000):
start_h = 0
start_s = 1
generated_values_list = []
for i in range(start_h,120):
if i>=24:
i=i%24
print(str(start_s)+" | " +str(i))
pot_value_list = GMM_vals_container_workingdays_spring["State: "+ str(start_s)+", hour: "+str(i)]
if len(pot_value_list)>50:
actual_value = random.choice(pot_value_list)#
#cdf, gmm_x, gmm = GMM_erstellen(pot_value_list,50)
#actual_value = gmm.sample()[0][0][0]
#print("made by GMM")
else:
actual_value = random.choice(pot_value_list)
#print("made not by GMM")
generated_values_list.append(actual_value)
probabilities_next_state = TPMs_WD[i][start_s-1]
next_state = random.choices(states,weights=probabilities_next_state)
start_s = next_state[0]
plt.plot(generated_values_list)
But - I think - the only part that matters is this:
for x in range(10000):
#some code that creates the generated_values_list
plt.plot(generated_values_list)
This creates, as expected a picture like this:
It is not clear from here which are the most common paths so I would like to make values that are hit frequently are more colorful while not so frequent values are rather grey.
I think seaborn library has something for that but I don't seem to understand the docs.

Python find average of element in list with multiple elements

I have a ticker that grabs current information of multiple elements and adds it to a list in the format: trade_list.append([[trade_id, results]]).
Say we're tracking trade_id's 4555, 5555, 23232, the trade_list will keep ticking away adding their results to the list, I then want to find the averages of their results individually.
The code works as such:
Find accounts
for a in accounts:
find open trades of accounts
for t in range(len(trades)):
do some math
trades_list.append(trade_id,result)
avernum = 0
average = []
for r in range(len(trades_list)):
average.append(trades_list[r][1]) # This is the value attached to the trade_id
avernum+=1
results = float(sum(average)/avernum))
results_list.append([[trade_id,results]])
This fills out really quickly. This is after two ticks:
print(results_list)
[[[53471, 28.36432]], [[53477, 31.67835]], [[53474, 32.27664]], [[52232, 1908.30604]], [[52241, 350.4758]], [[53471, 28.36432]], [[53477, 31.67835]], [[53474, 32.27664]], [[52232, 1908.30604]], [[52241, 350.4758]]]
These averages will move and change very quickly. I want to use results_list to track and watch them, then compare previous averages to current ones
Thinking:
for r in range(len(results_list)):
if results_list[r][0] == trade_id:
restick.append(results_list[r][1])
resnum = len(restick)
if restick[resnum] > restick[resnum-1]:
do fancy things

Here is some short code that does what you I think you have described, although I might have misunderstood. You basically do exactly what you say; select everything that has a certain trade_id and returns its average.:
TID_INDEX = 0
DATA_INDEX = 1
def id_average(t_id, arr):
filt_arr = [i[DATA_INDEX] for i in arr if i[TID_INDEX] == t_id]
return sum(filt_arr)/len(filt_arr)

Why does my association model find subgroups in a dataset when there shouldn't any?

I give a lot of information on the methods that I used to write my code. If you just want to read my question, skip to the quotes at the end.
I'm working on a project that has a goal of detecting sub populations in a group of patients. I thought this sounded like the perfect opportunity to use association rule mining as I'm currently taking a class on the subject.
I there are 42 variables in total. Of those, 20 are continuous and had to be discretized. For each variable, I used the Freedman-Diaconis rule to determine how many categories to divide a group into.
def Freedman_Diaconis(column_values):
#sort the list first
column_values[1].sort()
first_quartile = int(len(column_values[1]) * .25)
third_quartile = int(len(column_values[1]) * .75)
fq_value = column_values[1][first_quartile]
tq_value = column_values[1][third_quartile]
iqr = tq_value - fq_value
n_to_pow = len(column_values[1])**(-1/3)
h = 2 * iqr * n_to_pow
retval = (column_values[1][-1] - column_values[1][1])/h
test = int(retval+1)
return test
From there I used min-max normalization
def min_max_transform(column_of_data, num_bins):
min_max_normalizer = preprocessing.MinMaxScaler(feature_range=(1, num_bins))
data_min_max = min_max_normalizer.fit_transform(column_of_data[1])
data_min_max_ints = take_int(data_min_max)
return data_min_max_ints
to transform my data and then I simply took the interger portion to get the final categorization.
def take_int(list_of_float):
ints = []
for flt in list_of_float:
asint = int(flt)
ints.append(asint)
return ints
I then also wrote a function that I used to combine this value with the variable name.
def string_transform(prefix, column, index):
transformed_list = []
transformed = ""
if index < 4:
for entry in column[1]:
transformed = prefix+str(entry)
transformed_list.append(transformed)
else:
prefix_num = prefix.split('x')
for entry in column[1]:
transformed = str(prefix_num[1])+'x'+str(entry)
transformed_list.append(transformed)
return transformed_list
This was done to differentiate variables that have the same value, but appear in different columns. For example, having a value of 1 for variable x14 means something different from getting a value of 1 in variable x20. The string transform function would create 14x1 and 20x1 for the previously mentioned examples.
After this, I wrote everything to a file in basket format
def create_basket(list_of_lists, headers):
#for filename in os.listdir("."):
# if filename.e
if not os.path.exists('baskets'):
os.makedirs('baskets')
down_length = len(list_of_lists[0])
with open('baskets/dataset.basket', 'w') as basketfile:
basket_writer = csv.DictWriter(basketfile, fieldnames=headers)
for i in range(0, down_length):
basket_writer.writerow({"trt": list_of_lists[0][i], "y": list_of_lists[1][i], "x1": list_of_lists[2][i],
"x2": list_of_lists[3][i], "x3": list_of_lists[4][i], "x4": list_of_lists[5][i],
"x5": list_of_lists[6][i], "x6": list_of_lists[7][i], "x7": list_of_lists[8][i],
"x8": list_of_lists[9][i], "x9": list_of_lists[10][i], "x10": list_of_lists[11][i],
"x11": list_of_lists[12][i], "x12":list_of_lists[13][i], "x13": list_of_lists[14][i],
"x14": list_of_lists[15][i], "x15": list_of_lists[16][i], "x16": list_of_lists[17][i],
"x17": list_of_lists[18][i], "x18": list_of_lists[19][i], "x19": list_of_lists[20][i],
"x20": list_of_lists[21][i], "x21": list_of_lists[22][i], "x22": list_of_lists[23][i],
"x23": list_of_lists[24][i], "x24": list_of_lists[25][i], "x25": list_of_lists[26][i],
"x26": list_of_lists[27][i], "x27": list_of_lists[28][i], "x28": list_of_lists[29][i],
"x29": list_of_lists[30][i], "x30": list_of_lists[31][i], "x31": list_of_lists[32][i],
"x32": list_of_lists[33][i], "x33": list_of_lists[34][i], "x34": list_of_lists[35][i],
"x35": list_of_lists[36][i], "x36": list_of_lists[37][i], "x37": list_of_lists[38][i],
"x38": list_of_lists[39][i], "x39": list_of_lists[40][i], "x40": list_of_lists[41][i]})
and I used the apriori package in Orange to see if there were any association rules.
rules = Orange.associate.AssociationRulesSparseInducer(patient_basket, support=0.3, confidence=0.3)
print "%4s %4s %s" % ("Supp", "Conf", "Rule")
for r in rules:
my_rule = str(r)
split_rule = my_rule.split("->")
if 'trt' in split_rule[1]:
print 'treatment rule'
print "%4.1f %4.1f %s" % (r.support, r.confidence, r)
Using this, technique I found quite a few association rules with my testing data.
THIS IS WHERE I HAVE A PROBLEM
When I read the notes for the training data, there is this note
...That is, the only
reason for the differences among observed responses to the same treatment across patients is
random noise. Hence, there is NO meaningful subgroup for this dataset...
My question is,
why do I get multiple association rules that would imply that there are subgroups, when according to the notes I shouldn't see anything?
I'm getting lift numbers that are above 2 as opposed to the 1 that you should expect if everything was random like the notes state.
Supp Conf Rule
0.3 0.7 6x0 -> trt1
Even though my code runs, I'm not getting results anywhere close to what should be expected. This leads me to believe that I messed something up, but I'm not sure what it is.

After some research, I realized that my sample size is too small for the number of variables that I have. I would need a way larger sample size in order to really use the method that I was using. In fact, the method that I tried to use was developed with the assumption that it would be run on databases with hundreds of thousands or millions of rows.

How to compare clusters?

Hopefully this can be done with python! I used two clustering programs on the same data and now have a cluster file from both. I reformatted the files so that they look like this:
Cluster 0:
Brucellaceae(10)
Brucella(10)
abortus(1)
canis(1)
ceti(1)
inopinata(1)
melitensis(1)
microti(1)
neotomae(1)
ovis(1)
pinnipedialis(1)
suis(1)
Cluster 1:
Streptomycetaceae(28)
Streptomyces(28)
achromogenes(1)
albaduncus(1)
anthocyanicus(1)
etc.
These files contain bacterial species info. So I have the cluster number (Cluster 0), then right below it 'family' (Brucellaceae) and the number of bacteria in that family (10). Under that is the genera found in that family (name followed by number, Brucella(10)) and finally the species in each genera (abortus(1), etc.).
My question: I have 2 files formatted in this way and want to write a program that will look for differences between the two. The only problem is that the two programs cluster in different ways, so two cluster may be the same, even if the actual "Cluster Number" is different (so the contents of Cluster 1 in one file might match Cluster 43 in the other file, the only different being the actual cluster number). So I need something to ignore the cluster number and focus on the cluster contents.
Is there any way I could compare these 2 files to examine the differences? Is it even possible? Any ideas would be greatly appreciated!

Given:
file1 = '''Cluster 0:
giant(2)
red(2)
brick(1)
apple(1)
Cluster 1:
tiny(3)
green(1)
dot(1)
blue(2)
flower(1)
candy(1)'''.split('\n')
file2 = '''Cluster 18:
giant(2)
red(2)
brick(1)
tomato(1)
Cluster 19:
tiny(2)
blue(2)
flower(1)
candy(1)'''.split('\n')
Is this what you need?
def parse_file(open_file):
result = []
for line in open_file:
indent_level = len(line) - len(line.lstrip())
if indent_level == 0:
levels = ['','','']
item = line.lstrip().split('(', 1)[0]
levels[indent_level - 1] = item
if indent_level == 3:
result.append('.'.join(levels))
return result
data1 = set(parse_file(file1))
data2 = set(parse_file(file2))
differences = [
('common elements', data1 & data2),
('missing from file2', data1 - data2),
('missing from file1', data2 - data1) ]
To see the differences:
for desc, items in differences:
print desc
print
for item in items:
print '\t' + item
print
prints
common elements
giant.red.brick
tiny.blue.candy
tiny.blue.flower
missing from file2
tiny.green.dot
giant.red.apple
missing from file1
giant.red.tomato

So just for help, as I see lots of different answers in the comment, I'll give you a very, very simple implementation of a script that you can start from.
Note that this does not answer your full question but points you in one of the directions in the comments.
Normally if you have no experience I'd argue to go a head and read up on Python (which i'll do anyways, and i'll throw in a few links in the bottom of the answer)
On to the fun stuffs! :)
class Cluster(object):
'''
This is a class that will contain your information about the Clusters.
'''
def __init__(self, number):
'''
This is what some languages call a constructor, but it's not.
This method initializes the properties with values from the method call.
'''
self.cluster_number = number
self.family_name = None
self.bacteria_name = None
self.bacteria = []
#This part below isn't a part of the class, this is the actual script.
with open('bacteria.txt', 'r') as file:
cluster = None
clusters = []
for index, line in enumerate(file):
if line.startswith('Cluster'):
cluster = Cluster(index)
clusters.append(cluster)
else:
if not cluster.family_name:
cluster.family_name = line
elif not cluster.bacteria_name:
cluster.bacteria_name = line
else:
cluster.bacteria.append(line)
I wrote this as dumb and overly simple as I could without any fancy stuff and for Python 2.7.2
You could copy this file into a .py file and run it directly from command line python bacteria.py for example.
Hope this helps a bit and don't hesitate to come by our Python chat room if you have any questions! :)
http://learnpythonthehardway.org/
http://www.diveintopython.net/
http://docs.python.org/2/tutorial/inputoutput.html
check if all elements in a list are identical
Retaining order while using Python's set difference

You have to write some code to parse the file. If you ignore the cluster, you should be able to distinguish between family, genera and species based on indentation.
The easiest way it to define a named tuple:
import collections
Bacterium = collections.namedtuple('Bacterium', ['family', 'genera', 'species'])
You can make in instance of this object like this:
b = Bacterium('Brucellaceae', 'Brucella', 'canis')
Your parser should read a file line by line, and set the family and genera. If it then finds a species, it should add a Bacterium to a list;
with open('cluster0.txt', 'r') as infile:
lines = infile.readlines()
family = None
genera = None
bacteria = []
for line in lines:
# set family and genera.
# if you detect a bacterium:
bacteria.append(Bacterium(family, genera, species))
Once you have a list of all bacteria in each file or cluster, you can select from all the bacteria like this:
s = [b for b in bacteria if b.genera == 'Streptomycetaceae']

Comparing two clusterings is not trivial task and reinventing the wheel is unlikely to be successful. Check out this package which has lots of different cluster similarity metrics and can compare dendrograms (the data structure you have).
The library is called CluSim and can be found here:
https://github.com/Hoosier-Clusters/clusim/

After learning so much from Stackoverflow, finally I have an opportunity to give back! A different approach from those offered so far is to relabel clusters to maximize alignment, and then comparison becomes easy. For example, if one algorithm assigns labels to a set of six items as L1=[0,0,1,1,2,2] and another assigns L2=[2,2,0,0,1,1], you want these two labelings to be equivalent since L1 and L2 are essentially segmenting items into clusters identically. This approach relabels L2 to maximize alignment, and in the example above, will result in L2==L1.
I found a soution to this problem in "Menéndez, Héctor D. A genetic approach to the graph and spectral clustering problem. MS thesis. 2012." and below is an implementation in Python using numpy. I'm relatively new to Python, so there may be better implementations, but I think this gets the job done:
def alignClusters(clstr1,clstr2):
"""Given 2 cluster assignments, this funciton will rename the second to
maximize alignment of elements within each cluster. This method is
described in in Menéndez, Héctor D. A genetic approach to the graph and
spectral clustering problem. MS thesis. 2012. (Assumes cluster labels
are consecutive integers starting with zero)
INPUTS:
clstr1 - The first clustering assignment
clstr2 - The second clustering assignment
OUTPUTS:
clstr2_temp - The second clustering assignment with clusters renumbered to
maximize alignment with the first clustering assignment """
K = np.max(clstr1)+1
simdist = np.zeros((K,K))
for i in range(K):
for j in range(K):
dcix = clstr1==i
dcjx = clstr2==j
dd = np.dot(dcix.astype(int),dcjx.astype(int))
simdist[i,j] = (dd/np.sum(dcix!=0) + dd/np.sum(dcjx!=0))/2
mask = np.zeros((K,K))
for i in range(K):
simdist_vec = np.reshape(simdist.T,(K**2,1))
I = np.argmax(simdist_vec)
xy = np.unravel_index(I,simdist.shape,order='F')
x = xy[0]
y = xy[1]
mask[x,y] = 1
simdist[x,:] = 0
simdist[:,y] = 0
swapIJ = np.unravel_index(np.where(mask.T),simdist.shape,order='F')
swapI = swapIJ[0][1,:]
swapJ = swapIJ[0][0,:]
clstr2_temp = np.copy(clstr2)
for k in range(swapI.shape[0]):
swapj = [swapJ[k]==i for i in clstr2]
clstr2_temp[swapj] = swapI[k]
return clstr2_temp

depth-first algorithm in python does not work

I have some project which I decide to do in Python. In brief: I have list of lists. Each of them also have lists, sometimes one-element, sometimes more. It looks like this:
rules=[
[[1],[2],[3,4,5],[4],[5],[7]]
[[1],[8],[3,7,8],[3],[45],[12]]
[[31],[12],[43,24,57],[47],[2],[43]]
]
The point is to compare values from numpy array to values from this rules (elements of rules table). We are comparing some [x][y] point to first element (e.g. 1 in first element), then, if it is true, value [x-1][j] from array with second from list and so on. Five first comparisons must be true to change value of [x][y] point. I've wrote sth like this (main function is SimulateLoop, order are switched because simulate2 function was written after second one):
def simulate2(self, i, j, w, rule):
data = Data(rule)
if w.world[i][j] in data.c:
if w.world[i-1][j] in data.n:
if w.world[i][j+1] in data.e:
if w.world[i+1][j] in data.s:
if w.world[i][j-1] in data.w:
w.world[i][j] = data.cc[0]
else: return
else: return
else: return
else: return
else: return
def SimulateLoop(self,w):
for z in range(w.steps):
for i in range(2,w.x-1):
for j in range(2,w.y-1):
for rule in w.rules:
self.simulate2(i,j,w,rule)
Data class:
class Data:
def __init__(self, rule):
self.c = rule[0]
self.n = rule[1]
self.e = rule[2]
self.s = rule[3]
self.w = rule[4]
self.cc = rule[5]
NumPy array is a object from World class. Rules is list as described above, parsed by function obtained from another program (GPL License).
To be honest it seems to work fine, but it does not. I was trying other possibilities, without luck. It is working, interpreter doesn't return any errors, but somehow values in array changing wrong. Rules are good because it was provided by program from which I've obtained parser for it (GPL license).
Maybe it will be helpful - it is Perrier's Loop, modified Langton's loop (artificial life).
Will be very thankful for any help!
)

I am not familiar with Perrier's Loop, but if you code something like famous "game life" you would have done simple mistake: store the next generation in the same array thus corrupting it.
Normally you store the next generation in temporary array and do copy/swap after the sweep, like in this sketch:
def do_step_in_game_life(world):
next_gen = zeros(world.shape) # <<< Tmp array here
Nx, Ny = world.shape
for i in range(1, Nx-1):
for j in range(1, Ny-1):
neighbours = sum(world[i-1:i+2, j-1:j+2]) - world[i,j]
if neighbours < 3:
next_gen[i,j] = 0
elif ...
world[:,:] = next_gen[:,:] # <<< Saving computed next generation