My implementation of the 1d convolutional wgan described in this paper https://arxiv.org/abs/1705.10929.
Generative Adversarial Networks (GANs) have gathered a lot of attention from the computer vision community, yielding impressive results for image generation. Advances in the adversarial generation of natural language from noise however are not commensurate with the progress made in generating images, and still lag far behind likelihood based methods. In this paper, we take a step towards generating natural language with a GAN objective alone. We introduce a simple baseline that addresses the discrete output space problem without relying on gradient estimators and show that it is able to achieve state-of-the-art results on a Chinese poem generation dataset. We present quantitative results on generating sentences from context-free and probabilistic context-free grammars, and qualitative language modeling results. A conditional version is also described that can generate sequences conditioned on sentence characteristics.READ FULL TEXT VIEW PDF
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My implementation of the 1d convolutional wgan described in this paper https://arxiv.org/abs/1705.10929.
Deep neural networks have recently enjoyed some success at modeling natural languageMikolov et al. (2010); Zaremba et al. (2014); Kim et al. (2015). Typically, recurrent and convolutional language models are trained to maximize the likelihood of observing a word or character given the previous observations in the sequence . These models are commonly trained using a technique called teacher forcing Williams and Zipser (1989) where the inputs to the network are fixed and the model is trained to predict only the next item in the sequence given all previous observations. This corresponds to maximum-likelihood training of these models. However this one-step ahead prediction during training makes the model prone to exposure bias Ranzato et al. (2015); Bengio et al. (2015). Exposure bias occurs when a model is only trained conditioned on ground-truth contexts and is not exposed to its own errors (Wiseman and Rush, 2016). An important consequence to exposure bias is that generated sequences can degenerate as small errors accumulate. Many important problems in NLP such as machine translation and abstractive summarization are trained via a maximum-likelihood training objective Bahdanau et al. (2014); Rush et al. (2015), but require the generation of extended sequences and are evaluated based on sequence-level metrics such as BLEU Papineni et al. (2002) and ROUGE Lin (2004).
One possible direction towards incorporating a sequence-level training objective is to use Generative Adversarial Networks (GANs) Goodfellow et al. (2014). While GANs have yielded impressive results for modeling images Radford et al. (2015); Dumoulin et al. (2016)
, advances in their use for natural language generation has lagged behind. Some progress has been made recently in incorporating a GAN objective in sequence modeling problems including natural language generation.Lamb et al. (2016)
use an adversarial criterion to match the hidden state dynamics of a teacher forced recurrent neural network (RNN) and one that samples from its own output distribution across multiple time steps. Unlike the approach inLamb et al. (2016), sequence GANs Yu et al. (2016) and maximum-likelihood augmented GANs Che et al. (2017) use an adversarial loss at outputs of an RNN. Using a GAN at the outputs of an RNN however isn’t trivial since sampling from these outputs to feed to the discriminator is a non-differentiable operation. As a result gradients cannot propagate to the generator from the discriminator. Yu et al. (2016) use policy gradient to estimate the generator’s gradient and Che et al. (2017) present an importance sampling based technique. Other alternatives include REINFORCE Williams (1992), the use of a Gumbel softmax Jang et al. (2016) and the straighthrough estimator Bengio et al. (2013) among others.
In this work, we address the discrete output space problem by simply forcing the discriminator to operate on continuous valued output distributions. The discriminator sees a sequence of probabilities over every token in the vocabulary from the generator and a sequence of 1-hot vectors from the true data distribution as in Fig.1. This technique is identical to that proposed by Gulrajani et al. (2017), which is parallel work to this. In this paper we provide a more complete empirical investigation of this approach to applying GANs to discrete output spaces. We present results using recurrent as well as convolutional architectures on three language modeling datasets of different sizes at the word and character-level. We also present quantitative results on generating sentences that adhere to a simple context-free grammar (CFG), and a richer probabilistic context-free grammar (PCFG). We compare our method to previous works that use a GAN objective to generate natural language, on a Chinese poetry generation dataset. In addition, we present a conditional GAN Mirza and Osindero (2014) that generates sentences conditioned on sentiment and questions.
GANs Goodfellow et al. (2014) are a general framework used in training generative models by formulating the learning process as a two player minimax game as formulated in the equation below. A generator network G tries to generate samples that are as close as possible to the true data distribution of interest from a fixed noise distribution . We will refer to the samples produced by the generator as . A discriminator network is then trained to distinguish between and samples from the true data distribution while the generator network is trained using gradient signals sent by the discriminator by minimizing . Goodfellow et al. (2014) have shown that, with respect to an optimal discriminator, the minimax formulation can be shown to minimize the Jensen Shannon Divergence (JSD) between the generator’s output distribution and the true data distribution.
However, in practice, the generator is trained to maximize instead, since it provides stronger gradients in the early stages of learning Goodfellow et al. (2014).
GANs have been reported to be notoriously hard to train in practice Arjovsky and Bottou (2017) and several techniques have been proposed to alleviate some of the complexities involved in getting them to work including modified objective functions and regularization Salimans et al. (2016); Arjovsky et al. (2017); Mao et al. (2016); Gulrajani et al. (2017). We discuss some of these problems in the following subsection.
Nowozin et al. (2016) show that it is possible to train GANs with a variety of f-divergence measures besides JSD. Wasserstein GANs (WGANs) Arjovsky et al. (2017) minimize the earth mover’s distance or Wasserstein distance, while Least Squared GANs (LSGANs) Mao et al. (2016) modifies replaces the log loss with an L2 loss. WGAN-GP Gulrajani et al. (2017) incorporate a gradient penalty term on the discriminator’s loss in the WGAN objective which acts as a regularizer. In this work, we will compare some of these objectives in the context of natural language generation.
Arjovsky and Bottou (2017) argue that part of the problem in training regular GANs is that it seeks to minimize the JSD between the and . When the generator is trying to optimized , the gradients that it receives vanish as the discriminator is trained to optimality. The authors also show that when trying to optimize the more practical alternative, , the generator might not suffer from vanishing gradients but receives unstable training signals. It is also important to consider the fact that highly structured data like images and language lie in low-dimensional manifolds (as is evident by studying their principal components). Wassterstein GANs Arjovsky et al. (2017) overcome some of the problems in regular GAN training by providing a softer metric to compare the distributions lying in low dimensional manifolds. A key contribution of this work was identifying the importance of a lipschitz constraint which is achieved by clamping the weights of the discriminator to lie in a fixed interval. The lipschitz constraint and training the discriminator multiple times for every generator gradient update creates a strong learning signal for the generator.
Gulrajani et al. (2017)
present an alternative to weight clamping that they call a gradient penalty to enforce lipschitzness since model performance was reported to be highly sensitive to the clamping hyperparameters. They add the following penalty to the discriminator training objective -. A potential concern regarding our strategy to train our discriminator to distinguish between sequence of 1-hot vectors from the true data distribution and a sequence of probabilities from the generator is that the discriminator can easily exploit the sparsity in the 1-hot vectors to reach optimality. However, Wassterstein distance with a lipschitz constraint / gradient penalty provides good gradients even under an optimal discriminator and so isn’t a problem for us in practice. Even though it is possible to extract some performance from a regular GAN objective with the gradient penalty (as we show in one of our experiments), WGANs still provide better gradients to the generator since the discriminator doesn’t saturate often.
Let be the input to our generator network from which we will attempt to generate natural language. For implementation convenience, the sample is of shape where is the length of sequence and is a fixed length dimension of the noise vector at each time step. The generator then transforms
into a sequence of probability distributions over the vocabularyof size where is the size of our true data distribution’s vocabulary. The discriminator network is provided with fake samples and samples from the true data distribution . Samples from the true distribution are provided as a sequence of 1-hot vectors with each vector serving as an indicator of the observed word in the sample. As described in section 2, the discriminator is trained to discriminate between real and fake samples and the generator is trained to fool the discriminator as in Fig. 1.
We investigate recurrent architectures as in Lamb et al. (2016); Yu et al. (2016); Che et al. (2017) and convolutional architectures in both the generator as well as the discriminator. The following subsections detail our architectures.
Recurrent Neural Networks (RNNs), particularly Long short-term memory networks (LSTMs)Hochreiter and Schmidhuber (1997) and Gated Recurrent Networks Cho et al. (2014) are powerful models that have been successful at modeling sequential data Graves and Schmidhuber (2009); Mikolov et al. (2010). They transform a sequence of input vectors into a sequence of hidden states where each hidden state maintains a summary of the input up until then. RNN language models are autoregressive in nature since the input to the network at time depends on the output at time . However, in the context of generating sequences from noise, the inputs are pre-determined and there is no direct correspondence between the output at time and the input at time this fundamentally changes the auto-regressiveness of the RNN. The RNN does however carry forward information about its output at time through subsequent time steps via its hidden states as evident from its recurrent transition function. In order to incorporate an explicit dependence between subsequent RNN outputs, we add a peephole connection between the output probability distribution at time and the hidden state at time as show in the LSTM equations below. Typical RNN language models have a shared affine transformation matrix that is shared across time all steps that projects the hidden state vector to a vector of the same size as the target vocabulary to generate a sequence of outputs . Subsequently a softmax function is applied to each vector to turn it into a probability distribution over the vocabulary.
During inference, an output is sampled from the softmax distribution and becomes the input at the subsequent time step. While training the inputs are pre-determined. In all of our models, we perform greedy decoding where we always pick
. When using the LSTM as a discriminator we use a simple binary logistic regression layer on the last hidden stateto determine the probability of the sample being from the generator’s data distribution or from the real data distribution. .
The LSTM update equations with an output peephole are :
is the element-wise sigmoid function,is the hadamard product, is the element-wise function. and are learn-able parameters of the model and , , and constitute the input, forget, output and cell states of the LSTM respectively.
. Convolution filters are convolved across time and the input dimensions are treated as channels. In this work, we explore convolutional generators and discriminators with residual connectionsHe et al. (2016).
Gulrajani et al. (2017)
use a convolutional model for both the generator and discriminator. The generator consists of 5 residual blocks with 2 1-D convolutional layers each. A final 1-D convolution layer transforms the output of the residual blocks into a sequence of un-normalized vectors for each element in the input sequence (noise). These vectors are then normalized using the softmax function. All convolutions are ’same’ convolutions with a stride of 1 followed by batch-normalizationIoffe and Szegedy (2015)
and the ReLUNair and Hinton (2010); Glorot et al. (2011)activation function without any pooling so as to preserve the shape of the input. The discriminator architecture is identical to that of the generator with the final output having a single output channel.
In likelihood based training of generative language models, models are only trained to make one-step ahead predictions and as a result it is possible to train these models on relatively long sequences even in the initial stages of training. However, in our adversarial formulation, our generator is encouraged to generate entire sequences that match the true data distribution without explicit supervision at each step of the generation process. As a way to provide training signals of incremental difficulty, we use curriculum learning Bengio et al. (2009) and train our generator to produce sequences of gradually increasing lengths as training progresses.
GAN based methods have often been critiqued for lacking a concrete evaluation strategy Salimans et al. (2016), however recent work Wu et al. (2016) uses an annealed importance based technique to overcome this problem.
In the context of generating natural language, it is possible to come up with a simpler approach to evaluate compute the likelihoods of generated samples. We synthesize a data generating distribution under which we can compute likelihoods in a tractable manner. We propose a simple evaluation strategy for evaluating adversarial methods of generating natural language by constructing a data generating distribution from a CFG or PCFG. It is possible to determine if a sample belongs to the CFG or the probability of a sample under a PCFG by using a constituency parser that is provided with all of the productions in a grammar. Yu et al. (2016) also present a simple idea to estimate the likelihood of generated samples by using a randomly initialized LSTM as their data generating distribution. While this is a viable strategy to evaluate generative models of language, a randomly initialized LSTM provides little visibility into the complexity of the data distribution itself and presents no obvious way to increase its complexity. CFGs and PCFGs however, provide explicit control of the complexity via their productions. They can also be learned via grammar induction Brill (1993) on large treebanks of natural language and so the data generating distribution is not synthetic as in Yu et al. (2016).
Typical language models are evaluated by measuring the likelihood of samples from the true data distribution under the model. However, with GANs it is impossible to measure likelihoods under the model itself and so we measure the likelihood of the model’s samples under the true data distribution instead.
We divide our experiments into four categories:
Generating language that belongs to a toy CFG and an induced PCFG from the Penn Treebank Marcus et al. (1993).
Generated samples from a dataset consisting of simple English sentences, the 1-billion-word and Penn Treebank datasets.
Conditional GANs that generate sentences conditioned on certain sentence attributes such as sentiment and questions.
We use a simple and publicly available CFG111http://www.cs.jhu.edu/~jason/465/hw-grammar/extra-grammars/holygrail that contains 248 productions. We then generate two sets of data from this CFG - one consisting of samples of length 5 and another of length 11. Each set contains 100,000 samples selected at random from the CFG. The first set has a vocabulary of 36 tokens while the second 45 tokens. We evaluate our models on this task by measuring the fraction of generated samples that satisfy the rules of the grammar and also measure the diversity in our generated samples. We do this by generating 1,280 samples from noise and computing the fraction of those that are valid under our grammar using the Earley parsing algorithm Earley (1970). In order to measure sample diversity, we simply the count the number of unique samples; while this assumes that all samples are orthogonal it still serves as a proxy measure of the entropy. We compare various generator, discriminator and GAN objectives on this problem.
To construct a more challenging problem than a simple CFG, we use sections 0-21 of the WSJ subsection of the Penn Treebank to induce a PCFG using simple count statistics of all productions.
We train our model on all sentences in the treebank and restrict the output vocabulary to the top 2,000 most frequently occurring words. We evaluate our models on this task by measuring the likelihood of a sample using a Viterbi chart parser Klein and Manning (2003). While such a measure mostly captures the grammaticality of a sentence, it is still a reasonable proxy of sample quality.
Zhang and Lapata (2014) present a dataset of Chinese poems that were used to evaluate adversarial training methods for natural language in Yu et al. (2016) and Che et al. (2017). The dataset consists of 4-line poems with a variable number of characters in each line. We treat each line in a poem as a training example and use lines of length 5 (poem-5) and 7 (poem-7) with the train/validation/test split222http://homepages.inf.ed.ac.uk/mlap/Data/EMNLP14/ specified in Che et al. (2017). We use BLEU-2 and BLEU-3 to measure model performance on this task. Since there is no obvious ”target” for each generated sentence, both works report corpus-level BLEU measures using the entire test set as the reference.
We generate language from three different datasets of varying sizes and complexity. A dataset comprising simple English sentences333https://github.com/clab/sp2016.11-731/tree/master/hw4/data which we will henceforth refer to as CMUSE, the version of the Penn Treebank commonly used in language modeling experiments Zaremba et al. (2014) and the Google 1-billion word dataset Chelba et al. (2013). We perform experiments at generating language at the word as well as character-level. The CMU
SE dataset consists of 44,016 sentences with a vocabulary of 3,122 words, while the Penn Treebank consists of 42,068 sentences with a vocabulary of 10,000 words. We use a random subset of 3 million sentences from the 1-billion word dataset and constrain our vocabulary to the top 30,000 most frequently occurring words. We use a curriculum learning strategy in all of our LSTM models (with and without the output peephole connection) that starts training on sentences of length 5 at the word level and 13 for characters and increases the sequence length by 1 after a fixed number of epochs based on the size of the data. Convolutional methods inGulrajani et al. (2017) are able to generate long sequences even without a curriculum, however we found it was critical in generating long sequences with an LSTM.
|Gen||Disc||Objective||Length 5||Length 11|
|Acc (%)||Uniq||Acc (%)||Uniq|
GANs are able to leverage explicit conditioning on high-level attributes of data Mirza and Osindero (2014); Gauthier (2014); Radford et al. (2015) to generate samples which contain these attributes. Recent work Hu et al. (2017)
generates sentences conditioned on certain attributes of language such as sentiment using a variational autoencoders (VAEs)Kingma and Welling (2013) and holistic attribute discriminators. In this paper, we use two features inherent in language - sentiment and questions. To generate sentences that are questions, we use the CMUSE dataset and label sentences that contain a ”?” as being questions and the rest as been statements. To generate sentences of positive and negative sentiment we use the Amazon review polarity dataset collected in Zhang et al. (2015) and use the first 3 million short reviews with a vocabulary of the top 4,000 most frequently occurring words. Conditioning on sentence attributes is achieved by concatenating a single feature map containing either entirely ones or zeros to indicate the presence or absence of the attribute as in Radford et al. (2015) at the output of each convolutional layer. The conditioning is done on both the generator and the discriminator. We experiment with conditional GANs using only convolutional methods since methods adding conditioning information has been well studied in these architectures.
|Models||Poem 5||Poem 7|
|MLE Che et al. (2017)||-||0.693||-||-||-||0.318||-||-|
|Sequence GAN Yu et al. (2016)||-||0.738||-||-||-||-||-||-|
|MaliGAN-basic Che et al. (2017)||-||0.740||-||-||-||0.489||-||-|
|MaliGAN-full Che et al. (2017)||-||0.762||-||-||-||0.552||-||-|
|LSTM Peephole (ours)||0.845||0.878||0.439||0.363||0.670||0.670||0.327||0.355|
All models are trained using the back-propagation algorithm updating our parameters using the Adam optimization method Kingma and Ba (2014)
and stochastic gradient descent (SGD) with batch sizes of 64. A learning rate of, and is used in our LSTM generator and discriminators while convolutional architectures use a learning rate of . The noise prior and all LSTM hidden dimensions are set to 128 except for the Chinese poetry generation task where we set it to 64.
Table. 1 presents quantitative results on generating sentences that adhere to the simple CFG described in Section 4.1. The Acc column computes the accuracy with which our model generates samples from the CFG using a sample of 1,280 generations. We observe that all models are able to fit sequences of length 5 but only the WGAN, WGAN-GP objectives are able to generalize to longer sequences of length 11. This motivated us to use only the WGAN and WGAN-GP objectives in our subsequent experiments. The GAN-GP criterion appears to perform reasonably as well but we restrict our experiments to use the WGAN and WGAN-GP criteria only. GANs have been shown to exhibit the phenomenon of ”mode dropping” where the generator fails to capture a large fraction of the modes present in the data generating distribution Che et al. (2016). It is therefore important to study the diversity in our generated samples. The Uniq column computes the number of unique samples in a sample 1,280 generations serves as a rough indicator of sample diversity. The WGAN-GP objective appears to encourage the generation of diverse samples while also fitting the data distribution well.
Fig. 2 shows the negative-log-likelihood of generated samples using a LSTM architecture using the WGAN-GP, GAN-GP and MLE criteria. All models used an LSTM generator. The sequence length is set to 7 and the likelihoods are evaluated at the end of every epoch on a set of 64 samples.
Table. 2 contains quantitative results on the Chinese poetry generation dataset. The results indicate that our straightforward strategy to overcome back-propagating through discrete states is competitive and outperforms more complicated methods.
Table. 5 contains sequences generated by our model conditioned on sentiment (positive/negative) and questions/statements. The model is able to pick up on certain consistent patterns in questions as well as when expressing sentiment and use them while generating sentences.
Tables 3 and 4 contain sequences generated at the word and character-level by our LSTM and CNN models. Both models are able to produce realistic sentences. The CNN model with a WGAN-GP objective appears to be able to maintain context over longer time spans.
|Word||LSTM||An opposition was growing in China .|
|This is undergoing operation a year .|
|It has his everyone on a blame .|
|Everyone shares that Miller seems converted President as Democrat .|
|Which is actually the best of his children .|
|Who has The eventual policy and weak ?|
|CNN||Companies I upheld , respectively patented saga and Ambac.|
|Independence Unit have any will MRI in these Lights|
|It is a wrap for the annually of Morocco|
|The town has Registration matched with unk and the citizens|
|Character||CNN||To holl is now my Hubby ,|
|The gry timers was faller|
|After they work is jith a|
|But in a linter a revent|
|Word||LSTM||what everything they take everything away from .|
|may tea bill is the best chocolate from emergency .||<s>i need to understand deposit length . </s>|
|can you show show if any fish left inside .||<s>how is the another headache ? </s>|
|room service , have my dinner please .||<s>how there , is the restaurant popular this cheese ? </s>|
|CNN||meanwhile henderson said that it has to bounce for.||<s>i ’d like to fax a newspaper . </s>|
|I’m at the missouri burning the indexing manufacturing and through .||<s>cruise pay the next in my replacement . </s>|
|<s>what ’s in the friday food ? ? </s>|
|best and top notch newtonmom .||usuall the review omnium nothing non-functionable|
|good buy homeostasis money well spent|
kickass cosamin of time and fun .
|extreme crap-not working and eeeeeew|
|great britani ! I lovethis.||a horrible poor imposing se400|
|<s>when ’s the friday convention on ? </s>||<s>i report my run on one mineral . </s>|
|<s>how many snatched crew you have ? </s>||<s>we have to record this now . </s>|
|<s>how can you open this hall ? </s>||<s>i think i deeply take your passenger .</s>|
In conclusion, this work presents a straightforward but effective method to train GANs for natural language. The simplicity lies in forcing the discriminator to operate on continuous values by presenting it with a sequence of probability distributions from the generator and a sequence of 1-hot vectors corresponding to data from the true distribution. We propose an evaluation strategy that involves learning the data distribution defined by a CFG or PCFG. This lets us evaluate the likelihood of a sample belonging to the data generating distribution. The use of WGAN and WGAN-GP objectives produce realistic sentences on datasets of varying complexity (CMU-SE, Penn Treebank and the 1-billion dataset). We also show that it is possible to perform conditional generation of text on high-level sentence features such as sentiment and questions. In future work, we would like to explore GANs in other domains of NLP such as non goal-oriented dialog systems where a clear training and evaluation criterion does not exist.
The Authors would like to thank Ishaan Gulrajani, Martin Arjovsky, Guillaume Lample, Rosemary Ke, Juneki Hong and Varsha Embar for their advice and insightful comments. We are grateful to the Fonds de Recherche du Québec – Nature et Technologie for their financial support. We would also like to acknowledge NVIDIA for donating a DGX-1 computer used in this work.
We demonstrate that our approach to solve the problem of discrete outputs produces reasonable outputs even when applied to images. Figure 3
shows samples generated on the binarized MNIST datasetSalakhutdinov and Murray (2008). We used a generator and discriminator architecture identical to Radford et al. (2015) with the WGAN-GP criterion. The generator’s outputs are continuous while samples from the true data distribution are binarized.
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