Variational autoencoders provide a principled framework for learning deep
latent-variable models and corresponding inference models. In this work, we
provide an introduction to variational autoencoder
Normalizing flows, diffusion normalizing flows and variational autoencoders
are powerful generative models. In this paper, we provide a unified framework
to handle these approaches via Markov chains.
A standard Variational Autoencoder, with a Euclidean latent space, is
structurally incapable of capturing topological properties of certain datasets.
To remove topological obstructions, we introduce D
We present an approach to quantify and compare the privacy-accuracy trade-off
for differentially private Variational Autoencoders. Our work complements
previous work in two aspects. First, we evaluate
Manifold-valued data naturally arises in medical imaging. In cognitive
neuroscience, for instance, brain connectomes base the analysis of coactivation
patterns between different brain regions on the a
Variational autoencoder (vae) is a probabilistic machine learning framework for posterior inference that projects an input set of high-dimensional data to a lower-dimensional, latent space.
The learned latent space is typically disorganized and entangled : traversing the latent space along a single dimension does not result in changes to single visual attributes of the data.
In just three years, Variational Autoencoders (VAEs) have emerged as one of
the most popular approaches to unsupervised learning of complicated
distributions. VAEs are appealing because they are built
This report provides a theoretical understanding of variational autoencoders, a method to learn the probability distribution of large complex datasets.
The report explains central ideas on learning probability distributions, what people did to make this tractable and goes into details around how deeplearning is currently applied.
We introduce an approach for training variational autoencoders (vaes) that are certifiably robust to adversarial attack.
Specifically, we first derive actionable bounds on the minimal size of an input perturbation required to change a vae s reconstruction by more than an allowed amount, with these bounds depending on certain key parameters such as the lipschitz constants of the encoder and decoder.
Among likelihood-based approaches for deep generative modelling, variational
autoencoders (VAEs) offer scalable amortized posterior inference and fast
sampling. However, VAEs are also more and more ou
Large, multi-dimensional spatio-temporal datasets are omnipresent in modern
science and engineering. An effective framework for handling such data are
Gaussian process deep generative models (GP-DGMs)
In this work we study variational autoencoders (vaes) from the perspective ofharmonic analysis.
By viewing a vae s latent space as a gaussian space, a variety of measure space, we derive a series of results that show that the encoder variance of a vae controls the frequency content of the functions parameterised by the vae encoder and decoder neural networks.
We leverage the equivalent discrete state space representation of markovian gaussian process variational autoencoders (gaussian process variationalautoencoders) to enable a linear-time gaussian process solver via kalman filtering and smoothing.
We show via corrupted and missing frames tasks that our method performs favourably, especially on the latter where it outperforms recurrent neural network-based models.
Variational autoencoders (VAE) are a powerful and widely-used class of models
to learn complex data distributions in an unsupervised fashion. One important
limitation of VAEs is the prior assumption t
Conventional variational autoencoders fail in modeling correlations between
data points due to their use of factorized priors. Amortized Gaussian process
inference through GP-VAEs has led to significa
DoS and DDoS attacks have been growing in size and number over the last
decade and existing solutions to mitigate these attacks are in general
inefficient. Compared to other types of malicious cyber a
A key advance in learning generative models is the use of amortized inference
distributions that are jointly trained with the models. We find that existing
training objectives for variational autoenco
Work in deep clustering focuses on finding a single partition of data.
However, high-dimensional data, such as images, typically feature multiple
interesting characteristics one could cluster over. Fo
Recent research has shown the advantages of using autoencoders based on deep
neural networks for collaborative filtering. In particular, the recently
proposed Mult-VAE model, which used the multinomia