Floating point Data generator - generator

Is there a program or source code for data generation?
I want a data generator for Java. (Language does not matter, if I can get the result file)
I want a correlated data, anti-correlated data, independent data.
I want a data generator program that has
input : min, max, data-distribution (ex., independent, anti-correlated, correlated, Gaussian, Poisson ... ), dimension, # of points (n)
output : n points that follows given data-distribution.
Thank you :)

You can change the interval of the generated numbers with some simple math:
Random r=new Random();
floatx=(r.nextFloat()%(max+min))-min;
The java random class also has an option to return gaussian distributed values.

Related

Determining the probability of a sequence generated by T5 model by HuggingFace

I am using T5-Large by HuggingFace for inference. Given a premise and a hypothesis, I need to determine whether they are related or not. So, if I feed a string "mnli premise: This game will NOT open unless you agree to them sharing your information to advertisers. hypothesis: Personal data disclosure is discussed." the model is supposed to return either entailment, neutral, or contradiction.
Though I am able to determine the result, I am unable to determine the probability of the sequence generated. For instance, consider the model will generate entailment for the example given above. I also want to know what is the probability of entailment. So far, I have been using the following code,
from transformers import T5Tokenizer, T5ForConditionalGeneration
def is_entailment(premise, hypothesis):
entailment_premise = premise
entailment_hypothesis = hypothesis
token_output = tokenizer("mnli premise: " + entailment_premise + " hypothesis: " + entailment_hypothesis,
return_tensors="pt", return_length=True)
input_ids = token_output.input_ids
output = model.generate(input_ids, output_scores=True, return_dict_in_generate=True, max_new_tokens=15)
entailment_ids = output["sequences"]
entailment = tokenizer.decode(entailment_ids[0], skip_special_tokens=True)
return entailment
tokenizer = T5Tokenizer.from_pretrained('t5-small')
model = T5ForConditionalGeneration.from_pretrained('t5-small', return_dict=True)
premise = "This game will NOT open unless you agree to them sharing your information to advertisers."
hypothesis = "Personal data disclosure is discussed."
print(is_entailment(premise, hypothesis))
I have tried using the scores we get as output, but not sure how to calculate the probability from them. Same goes for the last hidden states that can be fetched as the output from the generate(). I saw in another question on Stack Overflow that suggested using a softmax function on the last hidden states but I am unsure how to do it.
How can I calculate the probability of the sequence being generated? That is, if I get entailment for a pair of hypothesis and premise, what would be the P(entailment)?
What you get as the scores are output token distributions before the softmax, so-called logits. You can get the probabilities of generated tokens by normalizing the logits and taking respective token ids. You can get them from the field sequences from what the generate method returns.
These are, however, not the probabilities you are looking for because T5 segments your output words into smaller units (e.g., "entailment" gets segmented to ['▁', 'en', 'tail', 'ment'] using the t5-small tokenizer). This is even trickier because different answers get split into a different number of tokens. You can get an approximate score by averaging the token probabilities (this is typically used during beam search). Such scores do not sum up to one.
If you want a normalized score, the only way is to feed all three possible answers to the decoder, get their scores, and normalize them to sum to one.

how can I implement a function to load data into a design matrix and an output vector in octave

I have a .txt file with dimensions 100x4 but i want to generalise and make an initial matrix with m x n+1 dimension as the code should work fine with any data file. m is the number of training examples and n is the number of training features and the last column is the output vector.
function [X,y]= loadData(filename)
data=load(filename);
X=load(filename);
y=load(filename);
m=rows(filename);
n=size(filename);
end
expected value of elements in the matrix do not match the found value.
what is the mistake?
First of all you are loading 3 times the same things, so at the end data, X, and y contain exactly the same things.
Then you are passing filename -that is a string- to rows() and size(), so do not expect getting the sizes of some arrays: these functions won't open any file, they just operate on the string in this case. In octave a string is considered as a 1xl matric, l being the length of the string.

One Hot Encoding dimension - Model Compexity

I will explain my problem:
I have around 50.000 samples, each of one described by a list of codes representing "events"
The number of unique codes are around 800.
The max number of codes that a sample could have is around 600.
I want to represent each sample using one-hot encoding. The representation should be, if we consider the operation of padding for those samples that has fewer codes, a 800x600 matrix.
Giving this new representation as input of a network, means to flatten each matrix to a vector of size 800x600 (460.000 values).
At the end the dataset should consist in 50.000 vectors of size 460.000 .
Now, I have two considerations:
How is it possible to handle a dataset of that size?(I tried data generator to obtain the representation on-the-fly but they are really slow).
Having a vector of size 460.000 as input for each sample, means that the complexity of my model( number of parameters to learn ) is extremely high ( around 15.000.000 in my case ) and, so, I need an huge dataset to train the model properly. Doesn't it?
Why do not you use the conventional model used in NLP?
These events can be translated as you say by embedding matrix.
Then you can represent the chains of events using LSTM (or GRU or RNN o Bilateral LSTM), the difference of using LSTM instead of a conventional network is that you use the same module repeated by N times.
So your input really is not 460,000, but internally an event A indirectly helps you learn about an event B. That's because the LSTM has a module that repeats itself for each event in the chain.
You have an example here:
https://www.kaggle.com/ngyptr/lstm-sentiment-analysis-keras
Broadly speaking what I would do would be the following (in Keras pseudo-code):
Detect the number of total events. I generate a unique list.
unique_events = list (set ([event_0, ..., event_n]))
You can perform the translation of a sequence with:
seq_events_idx = map (unique_events.index, seq_events)
Add the necessary pad to each sequence:
sequences_pad = pad_sequences (sequences, max_seq)
Then you can directly use an embedding to carry out the transfer of the event to an associated vector of the dimension that you consider.
input_ = Input (shape = (max_seq,), dtype = 'int32')
embedding = Embedding (len(unique_events),
                    dimensions,
                    input_length = max_seq,
                    trainable = True) (input_)
Then you define the architecture of your LSTM (For example):
lstm = LSTM (128, input_shape = (max_seq, dimensions), dropout = 0.2, recurrent_dropout = 0.2, return_sequences = True) (embedding)
Add the dense and the result you want:
out = Dense (10, activation = 'softmax') (lstm)
I think that this type of model can help you and give better results.

How to input tuple to caffe layer?

I'm totally new in caffe and I'm try to convert a tensorflow model to caffe.
I have a tuple which's shape is a little complex for it's stored some word vector.
This is the shape of the tuple data——
data[0]: a list, [684, 84], stores the sentence vector;
data[1]: a list, [684, 84], stores the position vector;
data[2]: a matrix, [684, 10], stores the aspects of the sentence;
data[3]: a matrix, [1, 684], stores the label of each sentence;
data[4]: a number, stores the max length of sentences;
Each row represents a sentences, which is also a sample of the dataset.
In tf, I return the whole tuple from a function which is wrote by myself.
train_data = read_data(FLAGS.train_data, source_count, source_word2idx)
I noticed that caffe always requires a data layer before training the data, but I don't have ideas how to convert my data to lmdb type or just sent them as a tuple or matrix into the model.
By the way, I'm using pycaffe.
Counld anyone help?
Thanks a lot!
There's no particular magic; all you need to do is to write an input routine that reads the file and returns the data in the format expected for train_data. You do not need to pre-convert your data to LMDB or any other format; just write read data to accept your current input format, and give the model the format it requires.
We can't help you from there: you haven't specified the model's format at all, and you've given us only the shape for the input data (no internal structure or semantics). Simply treat the data as if you were figuring out how to organize the input data for a given output format.

"Reverse" statistics: generating data based on mean and standard deviation

Having a dataset and calculating statistics from it is easy. How about the other way around?
Let's say I know some variable has an average X, standard deviation Y and assume it has normal (Gaussian) distribution. What would be the best way to generate a "random" dataset (of arbitrary size) which will fit the distribution?
EDIT: This kind of develops from this question; I could make something based on that method, but I am wondering if there's a more efficient way to do it.
You can generate standard normal random variables with the Box-Mueller method. Then to transform that to have mean mu and standard deviation sigma, multiply your samples by sigma and add mu. I.e. for each z from the standard normal, return mu + sigma*z.
This is really easy to do in Excel with the norminv() function. Example:
=norminv(rand(), 100, 15)
would generate a value from a normal distribution with mean of 100 and stdev of 15 (human IQs). Drag this formula down a column and you have as many values as you want.
I found a page where this problem is solved in several programming languages:
http://rosettacode.org/wiki/Random_numbers
There are several methods to generate Gaussian random variables. The standard method is Box-Meuller which was mentioned earlier. A slightly faster version is here:
http://en.wikipedia.org/wiki/Ziggurat_algorithm
Here's the wikipedia reference on generating Gaussian variables
http://en.wikipedia.org/wiki/Normal_distribution#Generating_values_from_normal_distribution
I'll give an example using R and the 2nd algorithm in the list here.
X<-4; Y<-2 # mean and std
z <- sapply(rep(0,100000), function(x) (sum(runif(12)) - 6) * Y + X)
plot(density(z))
> mean(z)
[1] 4.002347
> sd(z)
[1] 2.005114
> library(fUtilities)
> skewness(z,method ="moment")
[1] -0.003924771
attr(,"method")
[1] "moment"
> kurtosis(z,method ="moment")
[1] 2.882696
attr(,"method")
[1] "moment"
You could make it a kind of Monte Carlo simulation. Start with a wide random "acceptable range" and generate a few truly random values. Check your statistics and see if the average and variance are off. Adjust the "acceptable range" for the random values and add a few more values. Repeat until you have hit both your requirements and your population sample size.
Just off the top of my head, let me know what you think. :-)
The MATLAB function normrnd from the Statistics Toolbox can generate normally distributed random numbers with a given mu and sigma.
It is easy to generate dataset with normal distribution (see http://en.wikipedia.org/wiki/Box%E2%80%93Muller_transform ).
Remember that generated sample will not have exact N(0,1) distribution! You need to standarize it - substract mean and then divide by std deviation. Then You are free to transform this sample to Normal distribution with given parameters: multiply by std deviation and then add mean.
Interestingly numpy has a prebuilt function for that:
import numpy as np
def generate_dataset(mean, std, samples):
dataset = np.random.normal(mean, std, samples)
return dataset