From db7ac7690dd3228d75da872d822fcd124d4955fd Mon Sep 17 00:00:00 2001 From: Vahagn Khachatryan Date: Thu, 23 Mar 2017 15:49:03 +0000 Subject: [PATCH] Assignment 2: Learning World representations. --- .../course2/assignment2/README.txt | 125 + machine_learning/course2/assignment2/data.mat | Bin 0 -> 7468024 bytes .../assignment2/display_nearest_words.m | 28 + machine_learning/course2/assignment2/fprop.m | 86 + .../course2/assignment2/load_data.m | 27 + machine_learning/course2/assignment2/lookup.m | 6 + .../course2/assignment2/octave-workspace | Bin 0 -> 758175 bytes .../course2/assignment2/predict_next_word.m | 37 + .../course2/assignment2/raw_sentences.txt | 97162 ++++++++++++++++ .../course2/assignment2/result.mat | 3143 + machine_learning/course2/assignment2/train.m | 240 + .../course2/assignment2/word_distance.m | 25 + 12 files changed, 100879 insertions(+) create mode 100755 machine_learning/course2/assignment2/README.txt create mode 100644 machine_learning/course2/assignment2/data.mat create mode 100644 machine_learning/course2/assignment2/display_nearest_words.m create mode 100644 machine_learning/course2/assignment2/fprop.m create mode 100644 machine_learning/course2/assignment2/load_data.m create mode 100644 machine_learning/course2/assignment2/lookup.m create mode 100644 machine_learning/course2/assignment2/octave-workspace create mode 100644 machine_learning/course2/assignment2/predict_next_word.m create mode 100755 machine_learning/course2/assignment2/raw_sentences.txt create mode 100644 machine_learning/course2/assignment2/result.mat create mode 100644 machine_learning/course2/assignment2/train.m create mode 100644 machine_learning/course2/assignment2/word_distance.m diff --git a/machine_learning/course2/assignment2/README.txt b/machine_learning/course2/assignment2/README.txt new file mode 100755 index 0000000..554706e --- /dev/null +++ b/machine_learning/course2/assignment2/README.txt @@ -0,0 +1,125 @@ +####################################### +Neural Networks for Machine Learning +Programming Assignment 2 +Learning word representations. +####################################### + +In this assignment, you will design a neural net language model that will +learn to predict the next word, given previous three words. + +The data set consists of 4-grams (A 4-gram is a sequence of 4 adjacent words +in a sentence). These 4-grams were extracted from a large collection of text. +The 4-grams are chosen so that all the words involved come +from a small vocabulary of 250 words. Note that for the purposes of this +assignment special characters such as commas, full-stops, parentheses etc +are also considered words. The training set consists of 372,550 4-grams. The +validation and test sets have 46,568 4-grams each. + +### GETTING STARTED. ### +Look at the file raw_sentences.txt. It contains the raw sentences from which +these 4-grams were extracted. Take a look at the kind of sentences we are +dealing with here. They are fairly simple ones. + +To load the data set, go to an octave terminal and cd to the directory where the +downloaded data is located. Type + +> load data.mat + +This will load a struct called 'data' with 4 fields in it. +You can see them by typing + +> fieldnames(data) + +'data.vocab' contains the vocabulary of 250 words. Training, validation and +test sets are in 'data.trainData', 'data.validData' and 'data.testData' respectively. +To see the list of words in the vocabulary, type - + +> data.vocab + +'data.trainData' is a matrix of 372550 X 4. This means there are 372550 +training cases and 4 words per training case. Each entry is an integer that is +the index of a word in the vocabulary. So each row represents a sequence of 4 +words. 'data.validData' and 'data.testData' are also similar. They contain +46,568 4-grams each. All three need to be separated into inputs and targets +and the training set needs to be split into mini-batches. The file load_data.m +provides code for doing that. To run it type: + +>[train_x, train_t, valid_x, valid_t, test_x, test_t, vocab] = load_data(100); + +This will load the data, separate it into inputs and target, and make +mini-batches of size 100 for the training set. + +train.m implements the function that trains a neural net language model. +To run the training, execute the following - + +> model = train(1); + +This will train the model for one epoch (one pass through the training set). +Currently, the training is not implemented and the cross entropy will not +decrease. You have to fill in parts of the code in fprop.m and train.m. +Once the code is correctly filled-in, you will see that the cross entropy +starts decreasing. At this point, try changing the hyperparameters (number +of epochs, number of hidden units, learning rates, momentum, etc) and see +what effect that has on the training and validation cross entropy. The +questions in the assignment will ask you try out specific values of these. + +The training method will output a 'model' (a struct containing weights, biases +and a list of words). Now it's time to play around with the learned model +and answer the questions in the assignment. + +### DESCRIPTION OF THE NETWORK. ### +The network consists of an input layer, embedding layer, hidden layer and output +layer. The input layer consists of three word indices. The same +'word_embedding_weights' are used to map each index to a distributed feature +representation. These mapped features constitute the embedding layer. This layer +is connected to the hidden layer, which in turn is connected to the output +layer. The output layer is a softmax over the 250 words. + +### THINGS YOU SEE WHEN THE MODEL IS TRAINING. ### +As the model trains it prints out some numbers that tell you how well the +training is going. +(1) The model shows the average per-case cross entropy (CE) obtained +on the training set. The average CE is computed every 100 mini-batches. The +average CE over the entire training set is reported at the end of every epoch. + +(2) After every 1000 mini-batches of training, the model is run on the +validation set. Recall, that the validation set consists of data that is not +used for training. It is used to see how well the model does on unseen data. The +cross entropy on validation set is reported. + +(3) At the end of training, the model is run both on the validation set and on +the test set and the cross entropy on both is reported. + +You are welcome to change these numbers (100 and 1000) to see the CE's more +frequently if you want to. + + +### SOME USEFUL FUNCTIONS. ### +These functions are meant to be used for analyzing the model after the training +is done. + display_nearest_words.m : This method will display the words closest to a + given word in the word representation space. + word_distance.m : This method will compute the distance between two given + words. + predict_next_word.m : This method will produce some predictions for the next + word given 3 previous words. +Take a look at the documentation inside these functions to see how to use them. + + +### THINGS TO TRY. ### +Choose some words from the vocabulary and make a list. Find the words that +the model thinks are close to words in this list (for example, find the words +closest to 'companies', 'president', 'day', 'could', etc). Do the outputs make +sense ? + +Pick three words from the vocabulary that go well together (for example, +'government of united', 'city of new', 'life in the', 'he is the' etc). Use +the model to predict the next word. Does the model give sensible predictions? + +Which words would you expect to be closer together than others ? For example, +'he' should be closer to 'she' than to 'federal', or 'companies' should be +closer to 'business' than 'political'. Find the distances using the model. +Do the distances that the model predicts make sense ? + +You are welcome to try other things with this model and post any interesting +observations on the forums! diff --git a/machine_learning/course2/assignment2/data.mat b/machine_learning/course2/assignment2/data.mat new file mode 100644 index 0000000000000000000000000000000000000000..515aa839fa43175a3e4ad02f29d701e1a2725bc8 GIT binary patch literal 7468024 zcmbT+fAF7Wedl{~uvkwQY|l|L1P1TW$j~IlHnhYNae$48-=w>iQ@Wc(F?20EAjGy} zwM~m#`%B!c))Xo=OS;9*Lc<#HWO_nVPW)tBf1p&xS~=ROlwvB5ZKDI0H2!s7kJo;l9E=KH)~_v^lXyszuJ?@wrd?DC)3a`_e0kF5K_>BlbriI-k~!%aWEc6!^- z-Ehk-KfQDMsb84>^}oC2x}X2)>7sQ%yzU3rPV0a0ht|LJhko#-KlCHh5Bp8K3>_Wncu-tyCLxn)!Q;3@xi%gB>#zLL|Conc{Qr>rq5Rzz{Yms&(VA#e^h~sT;0?{ko99fi z=bw#SAB#RT@X_Yu6?3NeWUf13FlYGqMATV-+oLJ^n`r&O`cdF zg-r2n1AlbR@UgLXzOniE7w1gz=X2fJ_?Dupqidq;2L6ra<0+CU)>dcZnIb;k8a*AI z7EO_wbsp}{Q>-KD9F2!oo*}0S9 z<2wibM)UDmbEeq2=xl9d_;~-owZ{BYv3F7VcxR-Y;%x(~-(%6$k#$=(@cqrl>Z8`D 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<7Wi9jk==glp{yvj^VcPw&Hs5)^_w!rJICvKEd7~??^?lMOZzY93#HH&!dhNZp ze_z19%leVNUFbJ&YJTC_cs2K@#V@R5{@q2_IjTH=&gXWA`a5Z!{B(b^x28|)JXsFw zR!cu9&pV&=R6R=^_^znE{2ArKEbn`Gf5(iE=cZ}nxpT(;&+@*D@skUE*1LK>@hy7t zp{i-#M>wVReZH>EN6zJa^PqMvVclk}Yn>0Ad;K1FC_hY^m$iL^{fj3vb}&AD;!!&v z#qal=*VE?XJ9GP8>sl=iy!Y{Yfv)nkIPlHnnri4X{#rh!=R|5qpFZ`};*s8q^JJA) z%0Bhf;=%7bIAg78T(f)+eP+DM^gFlL{F?H!-?_WySIVy{Kc`ve%J(1ad%E(uHZIPt zD>M0(wJ7CtmtSh@Sz2F-@!F5iP1EM(@(j;c>FiEicr3C~h;m(B%JY2M_;KE)ztfh(=Y9NL+mCsM zGfsWIP+$)&$!F?0`JhA>=UQjI>I@}zjN%`=W4%G|yxx8@h-d*AbCZM{hUHd(*8)XFbw4D&gz zL;an!Pu0$2@g22_H|Gbduk)j&AL%^Bo9^@>FIw`9v$&rTi3@8QAL^TSp1o85x3)g{ zS&K`0@7?ZC<{K+xOTWF2cbzwC{r0<>KI5*4A^P5QQ^y*%^C@433>PwhQ8zt`j}#oFjx@OXxT zNq(uVv;4lD=ZQnAlQ(#+dByube^1adF3#hOjNd|TtP1UZ=G*YT-+R>NS(@Le{jNMM z_wfTczq;a4TkrW*|Fpjwuk}AYx2FDg^`kal_$2}B6nVy{&pKE7VJVmETIXu(1nZRF zA9VS@Ja;;ehiZS)e5gGa`aK=<-0wlBZGV=3U(~-VX`P4s?xOGWXf1Ej^Ju?$SBo1@ J_WT0z{{i@ultlml literal 0 HcmV?d00001 diff --git a/machine_learning/course2/assignment2/display_nearest_words.m b/machine_learning/course2/assignment2/display_nearest_words.m new file mode 100644 index 0000000..f338fe9 --- /dev/null +++ b/machine_learning/course2/assignment2/display_nearest_words.m @@ -0,0 +1,28 @@ +function display_nearest_words(word, model, k) +% Shows the k-nearest words to the query word. +% Inputs: +% word: The query word as a string. +% model: Model returned by the training script. +% k: The number of nearest words to display. +% Example usage: +% display_nearest_words('school', model, 10); + +word_embedding_weights = model.word_embedding_weights; +vocab = model.vocab; +id = strmatch(word, vocab, 'exact'); +if ~any(id) + fprintf(1, 'Word ''%s\'' not in vocabulary.\n', word); + return; +end +% Compute distance to every other word. +vocab_size = size(vocab, 2); +word_rep = word_embedding_weights(id, :); +diff = word_embedding_weights - repmat(word_rep, vocab_size, 1); +distance = sqrt(sum(diff .* diff, 2)); + +% Sort by distance. +[d, order] = sort(distance); +order = order(2:k+1); % The nearest word is the query word itself, skip that. +for i = 1:k + fprintf('%s %.2f\n', vocab{order(i)}, distance(order(i))); +end diff --git a/machine_learning/course2/assignment2/fprop.m b/machine_learning/course2/assignment2/fprop.m new file mode 100644 index 0000000..6210225 --- /dev/null +++ b/machine_learning/course2/assignment2/fprop.m @@ -0,0 +1,86 @@ +function [embedding_layer_state, hidden_layer_state, output_layer_state] = ... + fprop(input_batch, word_embedding_weights, embed_to_hid_weights,... + hid_to_output_weights, hid_bias, output_bias) +% This method forward propagates through a neural network. +% Inputs: +% input_batch: The input data as a matrix of size numwords X batchsize where, +% numwords is the number of words, batchsize is the number of data points. +% So, if input_batch(i, j) = k then the ith word in data point j is word +% index k of the vocabulary. +% +% word_embedding_weights: Word embedding as a matrix of size +% vocab_size X numhid1, where vocab_size is the size of the vocabulary +% numhid1 is the dimensionality of the embedding space. +% +% embed_to_hid_weights: Weights between the word embedding layer and hidden +% layer as a matrix of soze numhid1*numwords X numhid2, numhid2 is the +% number of hidden units. +% +% hid_to_output_weights: Weights between the hidden layer and output softmax +% unit as a matrix of size numhid2 X vocab_size +% +% hid_bias: Bias of the hidden layer as a matrix of size numhid2 X 1. +% +% output_bias: Bias of the output layer as a matrix of size vocab_size X 1. +% +% Outputs: +% embedding_layer_state: State of units in the embedding layer as a matrix of +% size numhid1*numwords X batchsize +% +% hidden_layer_state: State of units in the hidden layer as a matrix of size +% numhid2 X batchsize +% +% output_layer_state: State of units in the output layer as a matrix of size +% vocab_size X batchsize +% + +[numwords, batchsize] = size(input_batch); +[vocab_size, numhid1] = size(word_embedding_weights); +numhid2 = size(embed_to_hid_weights, 2); + +%% COMPUTE STATE OF WORD EMBEDDING LAYER. +% Look up the inputs word indices in the word_embedding_weights matrix. +embedding_layer_state = reshape(... + word_embedding_weights(reshape(input_batch, 1, []),:)',... + numhid1 * numwords, []); + +%% COMPUTE STATE OF HIDDEN LAYER. +% Compute inputs to hidden units. +inputs_to_hidden_units = embed_to_hid_weights' * embedding_layer_state + ... + repmat(hid_bias, 1, batchsize); + +% Apply logistic activation function. +% FILL IN CODE. Replace the line below by one of the options. +%hidden_layer_state = zeros(numhid2, batchsize); +% Options +% (a) hidden_layer_state = 1 ./ (1 + exp(inputs_to_hidden_units)); +% (b) hidden_layer_state = 1 ./ (1 - exp(-inputs_to_hidden_units)); +% (c) +hidden_layer_state = 1 ./ (1 + exp(-inputs_to_hidden_units)); +% (d) hidden_layer_state = -1 ./ (1 + exp(-inputs_to_hidden_units)); + +%% COMPUTE STATE OF OUTPUT LAYER. +% Compute inputs to softmax. +% FILL IN CODE. Replace the line below by one of the options. +%inputs_to_softmax = zeros(vocab_size, batchsize); +% Options +% (a) +inputs_to_softmax = hid_to_output_weights' * hidden_layer_state + repmat(output_bias, 1, batchsize); +% (b) inputs_to_softmax = hid_to_output_weights' * hidden_layer_state + repmat(output_bias, batchsize, 1); +% (c) inputs_to_softmax = hidden_layer_state * hid_to_output_weights' + repmat(output_bias, 1, batchsize); +% (d) inputs_to_softmax = hid_to_output_weights * hidden_layer_state + repmat(output_bias, batchsize, 1); + +% Subtract maximum. +% Remember that adding or subtracting the same constant from each input to a +% softmax unit does not affect the outputs. Here we are subtracting maximum to +% make all inputs <= 0. This prevents overflows when computing their +% exponents. +inputs_to_softmax = inputs_to_softmax... + - repmat(max(inputs_to_softmax), vocab_size, 1); + +% Compute exp. +output_layer_state = exp(inputs_to_softmax); + +% Normalize to get probability distribution. +output_layer_state = output_layer_state ./ repmat(... + sum(output_layer_state, 1), vocab_size, 1); diff --git a/machine_learning/course2/assignment2/load_data.m b/machine_learning/course2/assignment2/load_data.m new file mode 100644 index 0000000..f08b2fc --- /dev/null +++ b/machine_learning/course2/assignment2/load_data.m @@ -0,0 +1,27 @@ +function [train_input, train_target, valid_input, valid_target, test_input, test_target, vocab] = load_data(N) +% This method loads the training, validation and test set. +% It also divides the training set into mini-batches. +% Inputs: +% N: Mini-batch size. +% Outputs: +% train_input: An array of size D X N X M, where +% D: number of input dimensions (in this case, 3). +% N: size of each mini-batch (in this case, 100). +% M: number of minibatches. +% train_target: An array of size 1 X N X M. +% valid_input: An array of size D X number of points in the validation set. +% test: An array of size D X number of points in the test set. +% vocab: Vocabulary containing index to word mapping. + +load data.mat; +numdims = size(data.trainData, 1); +D = numdims - 1; +M = floor(size(data.trainData, 2) / N); +train_input = reshape(data.trainData(1:D, 1:N * M), D, N, M); +train_target = reshape(data.trainData(D + 1, 1:N * M), 1, N, M); +valid_input = data.validData(1:D, :); +valid_target = data.validData(D + 1, :); +test_input = data.testData(1:D, :); +test_target = data.testData(D + 1, :); +vocab = data.vocab; +end diff --git a/machine_learning/course2/assignment2/lookup.m b/machine_learning/course2/assignment2/lookup.m new file mode 100644 index 0000000..3fbb699 --- /dev/null +++ b/machine_learning/course2/assignment2/lookup.m @@ -0,0 +1,6 @@ +% This function trains a neural network language model. +function [words] = lookup( word, model ) + idx = strcmp( model.vocab, word ); + embd = model.word_embedding_weights' * idx' + words = embd +end diff --git a/machine_learning/course2/assignment2/octave-workspace b/machine_learning/course2/assignment2/octave-workspace new file mode 100644 index 0000000000000000000000000000000000000000..aca3f3983ed64ae0d8bdae6a77e77e147ad3fd26 GIT binary patch literal 758175 zcmZ^KcRbbc+cz>Y3sFfbiAsu)qFgjYNmSA>60(w+6+%h_$rfdAviG>`y&Ze+y=O9> zb3gZU|DNZc=a2I}uh;i;{yCp@z1MYL!%W>=i%)=0mShhJ35mM8I`K(DvP(&Pm};oM zRyU!tU+-ZrDY^jvd;E>*|96~}IHLJ~M-9}?Omr=Gc6WC#5?}t;AeFal&B6%=4jK$IPDMvvyhsf_2?diDu zwzkEkJP0yVB&2i{QZTzwE%l0MIFj5}B3V`~#5c;Uu9wb7gB6)4hE94zGc=01yV;?@ z>^tV<@?`9UV*xze5%`DigUSGz7shXJo;sl!g5=%aCtKM=p-cX7*oFIWhVOz zOg0=AR%^mRgCfj-J;4V`mzQ3u-; z3|p6K)X2TRL1SJ-q3}5iy!o;|$e}z6ubb2VDHU-85tnqv^KNnQw)IH30%r<7N>uoxf!3fV!%6|KNAP)WtTS?H>AsCYEGD-Xhhx(XEuS0=4VCQN* zc|_X{?3Yif@0(9W7s;Pvw1VH!@A+t&d3GeqE8TJ}AxlMu>sIR#5nti%<&n@#_V1{F 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name: +# type: sq_string +# elements: 1 +# length: 3 +for + + + +# name: +# type: sq_string +# elements: 1 +# length: 7 +federal + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +since + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +its + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +may + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +state + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +does + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +john + + + +# name: +# type: sq_string +# elements: 1 +# length: 7 +between + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +new + + + +# name: +# type: sq_string +# elements: 1 +# length: 1 +; + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +three + + + +# name: +# type: sq_string +# elements: 1 +# length: 6 +public + + + +# name: +# type: sq_string +# elements: 1 +# length: 1 +? + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +be + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +we + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +after + + + +# name: +# type: sq_string +# elements: 1 +# length: 8 +business + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +never + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +use + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +here + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +york + + + +# name: +# type: sq_string +# elements: 1 +# length: 7 +members + + + +# name: +# type: sq_string +# elements: 1 +# length: 7 +percent + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +put + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +group + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +come + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +by + + + +# name: +# type: sq_string +# elements: 1 +# length: 1 +$ + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +on + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +about + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +last + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +her + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +of + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +could + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +days + + + +# name: +# type: sq_string +# elements: 1 +# length: 7 +against + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +times + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +women + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +place + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +think + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +first + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +among + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +own + + + +# name: +# type: sq_string +# elements: 1 +# length: 6 +family + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +into + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +each + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +one + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +down + + + +# name: +# type: sq_string +# elements: 1 +# length: 7 +because + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +long + + + +# name: +# type: sq_string +# elements: 1 +# length: 7 +another + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +such + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +old + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +next + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +your + + + +# name: +# type: sq_string +# elements: 1 +# length: 6 +market + + + +# name: +# type: sq_string +# elements: 1 +# length: 6 +second + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +city + + + +# name: +# type: sq_string +# elements: 1 +# length: 6 +little + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +from + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +would + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +few + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +west + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +there + + + +# name: +# type: sq_string +# elements: 1 +# length: 9 +political + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +two + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +been + + + +# name: +# type: sq_string +# elements: 1 +# length: 1 +. + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +their + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +much + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +music + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +too + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +way + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +white + + + +# name: +# type: sq_string +# elements: 1 +# length: 1 +: + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +was + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +war + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +today + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +more + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +ago + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +life + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +that + + + +# name: +# type: sq_string +# elements: 1 +# length: 6 +season + + + +# name: +# type: sq_string +# elements: 1 +# length: 7 +company + + + +# name: +# type: sq_string +# elements: 1 +# length: 1 +- + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +but + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +part + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +court + + + +# name: +# type: sq_string +# elements: 1 +# length: 6 +former + + + +# name: +# type: sq_string +# elements: 1 +# length: 7 +general + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +with + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +than + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +those + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +he + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +me + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +high + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +made + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +this + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +work + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +up + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +us + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +until + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +will + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +ms. + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +while + + + +# name: +# type: sq_string +# elements: 1 +# length: 9 +officials + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +can + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +were + + + +# name: +# type: sq_string +# elements: 1 +# length: 7 +country + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +my + + + +# name: +# type: sq_string +# elements: 1 +# length: 6 +called + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +and + + + +# name: +# type: sq_string +# elements: 1 +# length: 7 +program + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +have + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +then + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +is + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +it + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +an + + + +# name: +# type: sq_string +# elements: 1 +# length: 6 +states + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +case + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +say + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +his + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +at + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +want + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +in + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +any + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +as + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +if + + + +# name: +# type: sq_string +# elements: 1 +# length: 6 +united + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +end + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +no + + + +# name: +# type: sq_string +# elements: 1 +# length: 1 +) + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +make + + + +# name: +# type: sq_string +# elements: 1 +# length: 10 +government + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +when + + + +# name: +# type: sq_string +# elements: 1 +# length: 8 +american + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +same + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +how + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +mr. + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +other + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +take + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +which + + + +# name: +# type: sq_string +# elements: 1 +# length: 10 +department + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +-- + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +you + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +many + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +nt + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +day + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +week + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +play + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +used + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +'s + + + +# name: +# type: sq_string +# elements: 1 +# length: 6 +though + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +our + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +who + + + +# name: +# type: sq_string +# elements: 1 +# length: 9 +yesterday + + + +# name: +# type: sq_string +# elements: 1 +# length: 8 +director + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +most + + + +# name: +# type: sq_string +# elements: 1 +# length: 9 +president + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +law + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +man + + + +# name: +# type: sq_string +# elements: 1 +# length: 1 +a + + + +# name: +# type: sq_string +# elements: 1 +# length: 5 +night + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +off + + + +# name: +# type: sq_string +# elements: 1 +# length: 6 +center + + + +# name: +# type: sq_string +# elements: 1 +# length: 1 +i + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +well + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +or + + + +# name: +# type: sq_string +# elements: 1 +# length: 7 +without + + + +# name: +# type: sq_string +# elements: 1 +# length: 2 +so + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +time + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +five + + + +# name: +# type: sq_string +# elements: 1 +# length: 3 +the + + + +# name: +# type: sq_string +# elements: 1 +# length: 4 +left + + + + + + + diff --git a/machine_learning/course2/assignment2/train.m b/machine_learning/course2/assignment2/train.m new file mode 100644 index 0000000..b1879b7 --- /dev/null +++ b/machine_learning/course2/assignment2/train.m @@ -0,0 +1,240 @@ +% This function trains a neural network language model. +function [model] = train(epochs) +% Inputs: +% epochs: Number of epochs to run. +% Output: +% model: A struct containing the learned weights and biases and vocabulary. + +if size(ver('Octave'),1) + OctaveMode = 1; + warning('error', 'Octave:broadcast'); + start_time = time; +else + OctaveMode = 0; + start_time = clock; +end + +% SET HYPERPARAMETERS HERE. +batchsize = 100; % Mini-batch size. +learning_rate = 0.1; % Learning rate; default = 0.1. +momentum = 0.9; % Momentum; default = 0.9. +numhid1 = 50; % Dimensionality of embedding space; default = 50. +numhid2 = 200; % Number of units in hidden layer; default = 200. +init_wt = 0.01; % Standard deviation of the normal distribution + % which is sampled to get the initial weights; default = 0.01 + +% VARIABLES FOR TRACKING TRAINING PROGRESS. +show_training_CE_after = 100; +show_validation_CE_after = 1000; + +% LOAD DATA. +[train_input, train_target, valid_input, valid_target, ... + test_input, test_target, vocab] = load_data(batchsize); +[numwords, batchsize, numbatches] = size(train_input); +vocab_size = size(vocab, 2); + +% INITIALIZE WEIGHTS AND BIASES. +word_embedding_weights = init_wt * randn(vocab_size, numhid1); +embed_to_hid_weights = init_wt * randn(numwords * numhid1, numhid2); +hid_to_output_weights = init_wt * randn(numhid2, vocab_size); +hid_bias = zeros(numhid2, 1); +output_bias = zeros(vocab_size, 1); + +word_embedding_weights_delta = zeros(vocab_size, numhid1); +word_embedding_weights_gradient = zeros(vocab_size, numhid1); +embed_to_hid_weights_delta = zeros(numwords * numhid1, numhid2); +hid_to_output_weights_delta = zeros(numhid2, vocab_size); +hid_bias_delta = zeros(numhid2, 1); +output_bias_delta = zeros(vocab_size, 1); +expansion_matrix = eye(vocab_size); +count = 0; +tiny = exp(-30); + +% TRAIN. +for epoch = 1:epochs + fprintf(1, 'Epoch %d\n', epoch); + this_chunk_CE = 0; + trainset_CE = 0; + % LOOP OVER MINI-BATCHES. + for m = 1:numbatches + input_batch = train_input(:, :, m); + target_batch = train_target(:, :, m); + + % FORWARD PROPAGATE. + % Compute the state of each layer in the network given the input batch + % and all weights and biases + [embedding_layer_state, hidden_layer_state, output_layer_state] = ... + fprop(input_batch, ... + word_embedding_weights, embed_to_hid_weights, ... + hid_to_output_weights, hid_bias, output_bias); + + % COMPUTE DERIVATIVE. + %% Expand the target to a sparse 1-of-K vector. + expanded_target_batch = expansion_matrix(:, target_batch); + %% Compute derivative of cross-entropy loss function. + error_deriv = output_layer_state - expanded_target_batch; + + % MEASURE LOSS FUNCTION. + CE = -sum(sum(... + expanded_target_batch .* log(output_layer_state + tiny))) / batchsize; + count = count + 1; + this_chunk_CE = this_chunk_CE + (CE - this_chunk_CE) / count; + trainset_CE = trainset_CE + (CE - trainset_CE) / m; + fprintf(1, '\rBatch %d Train CE %.3f', m, this_chunk_CE); + if mod(m, show_training_CE_after) == 0 + fprintf(1, '\n'); + count = 0; + this_chunk_CE = 0; + end + if OctaveMode + fflush(1); + end + + % BACK PROPAGATE. + %% OUTPUT LAYER. + hid_to_output_weights_gradient = hidden_layer_state * error_deriv'; + output_bias_gradient = sum(error_deriv, 2); + back_propagated_deriv_1 = (hid_to_output_weights * error_deriv) ... + .* hidden_layer_state .* (1 - hidden_layer_state); + + %% HIDDEN LAYER. + % FILL IN CODE. Replace the line below by one of the options. + %embed_to_hid_weights_gradient = zeros(numhid1 * numwords, numhid2); + % Options: + % (a) embed_to_hid_weights_gradient = back_propagated_deriv_1' * embedding_layer_state; + % (b) + embed_to_hid_weights_gradient = embedding_layer_state * back_propagated_deriv_1'; + % (c) embed_to_hid_weights_gradient = back_propagated_deriv_1; + % (d) embed_to_hid_weights_gradient = embedding_layer_state; + + % FILL IN CODE. Replace the line below by one of the options. + %hid_bias_gradient = zeros(numhid2, 1); + % Options + % (a) + hid_bias_gradient = sum(back_propagated_deriv_1, 2); + % (b) hid_bias_gradient = sum(back_propagated_deriv_1, 1); + % (c) hid_bias_gradient = back_propagated_deriv_1; + % (d) hid_bias_gradient = back_propagated_deriv_1'; + + % FILL IN CODE. Replace the line below by one of the options. + back_propagated_deriv_2 = zeros(numhid2, batchsize); + % Options + % (a) + back_propagated_deriv_2 = embed_to_hid_weights * back_propagated_deriv_1; + % (b)back_propagated_deriv_2 = back_propagated_deriv_1 * embed_to_hid_weights; + % (c) back_propagated_deriv_2 = back_propagated_deriv_1' * embed_to_hid_weights; + % (d) back_propagated_deriv_2 = back_propagated_deriv_1 * embed_to_hid_weights'; + + word_embedding_weights_gradient(:) = 0; + %% EMBEDDING LAYER. + for w = 1:numwords + word_embedding_weights_gradient = word_embedding_weights_gradient + ... + expansion_matrix(:, input_batch(w, :)) * ... + (back_propagated_deriv_2(1 + (w - 1) * numhid1 : w * numhid1, :)'); + end + + % UPDATE WEIGHTS AND BIASES. + word_embedding_weights_delta = ... + momentum .* word_embedding_weights_delta + ... + word_embedding_weights_gradient ./ batchsize; + word_embedding_weights = word_embedding_weights... + - learning_rate * word_embedding_weights_delta; + + embed_to_hid_weights_delta = ... + momentum .* embed_to_hid_weights_delta + ... + embed_to_hid_weights_gradient ./ batchsize; + embed_to_hid_weights = embed_to_hid_weights... + - learning_rate * embed_to_hid_weights_delta; + + hid_to_output_weights_delta = ... + momentum .* hid_to_output_weights_delta + ... + hid_to_output_weights_gradient ./ batchsize; + hid_to_output_weights = hid_to_output_weights... + - learning_rate * hid_to_output_weights_delta; + + hid_bias_delta = momentum .* hid_bias_delta + ... + hid_bias_gradient ./ batchsize; + hid_bias = hid_bias - learning_rate * hid_bias_delta; + + output_bias_delta = momentum .* output_bias_delta + ... + output_bias_gradient ./ batchsize; + output_bias = output_bias - learning_rate * output_bias_delta; + + % VALIDATE. + if mod(m, show_validation_CE_after) == 0 + fprintf(1, '\rRunning validation ...'); + if OctaveMode + fflush(1); + end + [embedding_layer_state, hidden_layer_state, output_layer_state] = ... + fprop(valid_input, word_embedding_weights, embed_to_hid_weights,... + hid_to_output_weights, hid_bias, output_bias); + datasetsize = size(valid_input, 2); + expanded_valid_target = expansion_matrix(:, valid_target); + CE = -sum(sum(... + expanded_valid_target .* log(output_layer_state + tiny))) /datasetsize; + fprintf(1, ' Validation CE %.3f\n', CE); + if OctaveMode + fflush(1); + end + end + end + fprintf(1, '\rAverage Training CE %.3f\n', trainset_CE); +end +fprintf(1, 'Finished Training.\n'); +if OctaveMode + fflush(1); +end +fprintf(1, 'Final Training CE %.3f\n', trainset_CE); + +% EVALUATE ON VALIDATION SET. +fprintf(1, '\rRunning validation ...'); +if OctaveMode + fflush(1); +end +[embedding_layer_state, hidden_layer_state, output_layer_state] = ... + fprop(valid_input, word_embedding_weights, embed_to_hid_weights,... + hid_to_output_weights, hid_bias, output_bias); +datasetsize = size(valid_input, 2); +expanded_valid_target = expansion_matrix(:, valid_target); +CE = -sum(sum(... + expanded_valid_target .* log(output_layer_state + tiny))) / datasetsize; +fprintf(1, '\rFinal Validation CE %.3f\n', CE); +if OctaveMode + fflush(1); +end + +% EVALUATE ON TEST SET. +fprintf(1, '\rRunning test ...'); +if OctaveMode + fflush(1); +end +[embedding_layer_state, hidden_layer_state, output_layer_state] = ... + fprop(test_input, word_embedding_weights, embed_to_hid_weights,... + hid_to_output_weights, hid_bias, output_bias); +datasetsize = size(test_input, 2); +expanded_test_target = expansion_matrix(:, test_target); +CE = -sum(sum(... + expanded_test_target .* log(output_layer_state + tiny))) / datasetsize; +fprintf(1, '\rFinal Test CE %.3f\n', CE); +if OctaveMode + fflush(1); +end + +model.word_embedding_weights = word_embedding_weights; +model.embed_to_hid_weights = embed_to_hid_weights; +model.hid_to_output_weights = hid_to_output_weights; +model.hid_bias = hid_bias; +model.output_bias = output_bias; +model.vocab = vocab; + +% In MATLAB replace line below with 'end_time = clock;' +if OctaveMode + end_time = time; + diff = end_time - start_time; +else + end_time = clock; + diff = etime(end_time, start_time); +end +fprintf(1, 'Training took %.2f seconds\n', diff); +end diff --git a/machine_learning/course2/assignment2/word_distance.m b/machine_learning/course2/assignment2/word_distance.m new file mode 100644 index 0000000..de4f608 --- /dev/null +++ b/machine_learning/course2/assignment2/word_distance.m @@ -0,0 +1,25 @@ +function distance = word_distance(word1, word2, model) +% Shows the L2 distance between word1 and word2 in the word_embedding_weights. +% Inputs: +% word1: The first word as a string. +% word2: The second word as a string. +% model: Model returned by the training script. +% Example usage: +% word_distance('school', 'university', model); + +word_embedding_weights = model.word_embedding_weights; +vocab = model.vocab; +id1 = strmatch(word1, vocab, 'exact'); +id2 = strmatch(word2, vocab, 'exact'); +if ~any(id1) + fprintf(1, 'Word ''%s\'' not in vocabulary.\n', word1); + return; +end +if ~any(id2) + fprintf(1, 'Word ''%s\'' not in vocabulary.\n', word2); + return; +end +word_rep1 = word_embedding_weights(id1, :); +word_rep2 = word_embedding_weights(id2, :); +diff = word_rep1 - word_rep2; +distance = sqrt(sum(diff .* diff));

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