Generating multi-vehicle trajectories from existing limited data can provide rich resources for autonomous vehicle development and testing. This paper introduces a multi-vehicle trajectory generator (MTG) that can encode multi-vehicle interaction scenarios (called driving encounters) into an interpretable representation from which new driving encounter scenarios are generated by sampling. The MTG consists of a bi-directional encoder and a multi-branch decoder. A new disentanglement metric is then developed for model analyses and comparisons in terms of model robustness and the independence of the latent codes. Comparison of our proposed MTG with @math -VAE and InfoGAN demonstrates that the MTG has stronger capability to purposely generate rational vehicle-to-vehicle encounters through operating the disentangled latent codes. Thus the MTG could provide more data for engineers and researchers to develop testing and evaluation scenarios for autonomous vehicles.
The optimization of VAE is usually converted to the evidence lower bound (ELBO), since the estimation of the marginal log-likelihood is computationally intractable because of the curse of dimensionality. The optimization function of VAE and @math -VAE is formulated in (3). When @math , the original VAE @cite_7 is obtained, and when @math , the @math -VAE @cite_8 @cite_12 was obtained. where @math represents the encoder parameterized by @math , @math represents the decoder parameterized by @math . @math is used to reduces the distance between @math and @math , thereby increasing @math helps obtain more disentanglement. In (3), The first term can be interpreted as a reconstruction error between real and generated trajectories, and the second term is a tightness condition to ensure @math .
@cite_12 @cite_7 @cite_8
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We present new intuitions and theoretical assessments of the emergence of disentangled representation in variational autoencoders. Taking a rate-distortion theory perspective, we show the circumstances under which representations aligned with the underlying generative factors of variation of data emerge when optimising the modified ELBO bound in @math -VAE, as training progresses. From these insights, we propose a modification to the training regime of @math -VAE, that progressively increases the information capacity of the latent code during training. This modification facilitates the robust learning of disentangled representations in @math -VAE, without the previous trade-off in reconstruction accuracy. Learning an interpretable factorised representation of the independent data generative factors of the world without supervision is an important precursor for the development of artificial intelligence that is able to learn and reason in the same way that humans do. We introduce beta-VAE, a new state-of-the-art framework for automated discovery of interpretable factorised latent representations from raw image data in a completely unsupervised manner. Our approach is a modification of the variational autoencoder (VAE) framework. We introduce an adjustable hyperparameter beta that balances latent channel capacity and independence constraints with reconstruction accuracy. We demonstrate that beta-VAE with appropriately tuned beta > 1 qualitatively outperforms VAE (beta = 1), as well as state of the art unsupervised (InfoGAN) and semi-supervised (DC-IGN) approaches to disentangled factor learning on a variety of datasets (celebA, faces and chairs). Furthermore, we devise a protocol to quantitatively compare the degree of disentanglement learnt by different models, and show that our approach also significantly outperforms all baselines quantitatively. Unlike InfoGAN, beta-VAE is stable to train, makes few assumptions about the data and relies on tuning a single hyperparameter, which can be directly optimised through a hyper parameter search using weakly labelled data or through heuristic visual inspection for purely unsupervised data.