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We present the Mixed Likelihood Gaussian process latent variable model (GP-LVM), capable of modeling data with attributes of different types. The standard formulation of GP-LVM assumes that each observation is drawn from a Gaussian…

Machine Learning · Computer Science 2018-11-20 Samuel Murray , Hedvig Kjellström

Latent Gaussian Models (LGMs) are a subset of Bayesian Hierarchical models where Gaussian priors, conditional on variance parameters, are assigned to all effects in the model. LGMs are employed in many fields for their flexibility and…

Methodology · Statistics 2025-01-28 Luisa Ferrari , Massimo Ventrucci

Variational inference is a powerful tool for approximate inference, and it has been recently applied for representation learning with deep generative models. We develop the variational Gaussian process (VGP), a Bayesian nonparametric…

Machine Learning · Statistics 2016-04-19 Dustin Tran , Rajesh Ranganath , David M. Blei

Semantic word embeddings represent the meaning of a word via a vector, and are created by diverse methods. Many use nonlinear operations on co-occurrence statistics, and have hand-tuned hyperparameters and reweighting methods. This paper…

Machine Learning · Computer Science 2019-06-21 Sanjeev Arora , Yuanzhi Li , Yingyu Liang , Tengyu Ma , Andrej Risteski

We introduce the variational graph auto-encoder (VGAE), a framework for unsupervised learning on graph-structured data based on the variational auto-encoder (VAE). This model makes use of latent variables and is capable of learning…

Machine Learning · Statistics 2016-11-23 Thomas N. Kipf , Max Welling

We propose a topic-guided variational autoencoder (TGVAE) model for text generation. Distinct from existing variational autoencoder (VAE) based approaches, which assume a simple Gaussian prior for the latent code, our model specifies the…

Computation and Language · Computer Science 2019-03-19 Wenlin Wang , Zhe Gan , Hongteng Xu , Ruiyi Zhang , Guoyin Wang , Dinghan Shen , Changyou Chen , Lawrence Carin

Neural topic models have triggered a surge of interest in extracting topics from text automatically since they avoid the sophisticated derivations in conventional topic models. However, scarce neural topic models incorporate the word…

Artificial Intelligence · Computer Science 2021-05-24 Rui Wang , Deyu Zhou , Yuxuan Xiong , Haiping Huang

Non-parametric models, such as Gaussian Processes (GP), show promising results in the analysis of complex data. Their applications in neuroscience data have recently gained traction. In this research, we introduce a novel neural decoder…

We present latent combinational game design -- an approach for generating playable games that blend a given set of games in a desired combination using deep generative latent variable models. We use Gaussian Mixture Variational Autoencoders…

Machine Learning · Computer Science 2023-12-22 Anurag Sarkar , Seth Cooper

Latent variable models (LVMs) represent observed variables by parameterized functions of latent variables. Prominent examples of LVMs for unsupervised learning are probabilistic PCA or probabilistic SC which both assume a weighted linear…

Machine Learning · Computer Science 2023-12-18 Hamid Mousavi , Jakob Drefs , Florian Hirschberger , Jörg Lücke

Estimating covariances between financial assets plays an important role in risk management. In practice, when the sample size is small compared to the number of variables, the empirical estimate is known to be very unstable. Here, we…

Computational Engineering, Finance, and Science · Computer Science 2019-04-19 Rajbir-Singh Nirwan , Nils Bertschinger

Real engineering and scientific applications often involve one or more qualitative inputs. Standard Gaussian processes (GPs), however, cannot directly accommodate qualitative inputs. The recently introduced latent variable Gaussian process…

Machine Learning · Statistics 2023-03-21 Suraj Yerramilli , Akshay Iyer , Wei Chen , Daniel W. Apley

We present LatentAM, an online 3D Gaussian Splatting (3DGS) mapping framework that builds scalable latent feature maps from streaming RGB-D observations for open-vocabulary robotic perception. Instead of distilling high-dimensional…

Robotics · Computer Science 2026-02-16 Junwoon Lee , Yulun Tian

The Gaussian process latent variable model (GP-LVM) is a popular approach to non-linear probabilistic dimensionality reduction. One design choice for the model is the number of latent variables. We present a spike and slab prior for the…

Machine Learning · Statistics 2015-05-12 Zhenwen Dai , James Hensman , Neil Lawrence

Large language models (LLMs) are powerful tools that, in a number of settings, overlap with the results of human pattern recognition and reasoning. Retrieval-augmented generation (RAG) further allows LLMs to produce tailored output…

Computation and Language · Computer Science 2026-04-07 Edward L. Wang , Mohammad Sharifi Kiasari , Tianyu Wang , Hayden Helm , Avanti Athreya , Carey Priebe , Vince Lyzinski

We consider the problem of learning a conditional Gaussian graphical model in the presence of latent variables. Building on recent advances in this field, we suggest a method that decomposes the parameters of a conditional Markov random…

Methodology · Statistics 2017-03-07 Benjamin Frot , Luke Jostins , Gil McVean

Clinical patient records are an example of high-dimensional data that is typically collected from disparate sources and comprises of multiple likelihoods with noisy as well as missing values. In this work, we propose an unsupervised…

Machine Learning · Statistics 2021-04-21 Siddharth Ramchandran , Miika Koskinen , Harri Lähdesmäki

Scientific and engineering problems often require the use of artificial intelligence to aid understanding and the search for promising designs. While Gaussian processes (GP) stand out as easy-to-use and interpretable learners, they have…

Machine Learning · Computer Science 2021-07-01 Liwei Wang , Suraj Yerramilli , Akshay Iyer , Daniel Apley , Ping Zhu , Wei Chen

Deep generative models are commonly used for generating images and text. Interpretability of these models is one important pursuit, other than the generation quality. Variational auto-encoder (VAE) with Gaussian distribution as prior has…

Machine Learning · Computer Science 2020-08-24 Wenxian Shi , Hao Zhou , Ning Miao , Lei Li

Generating high quality texts with high diversity is important for many NLG applications, but current methods mostly focus on building deterministic models to generate higher quality texts and do not provide many options for promoting…

Computation and Language · Computer Science 2022-04-05 Wanyu Du , Jianqiao Zhao , Liwei Wang , Yangfeng Ji