A Cookbook For Deep Continuous-Time Predictive Models
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Motivation: Irregularly-timed datasets
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Simplest options
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Ordinary Differential Equations
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Autoregressive continuous-time
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Limitations of RNN-based models
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Latent variable models
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ODE latent-variable model
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Physionet: Predictive accuracy
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Poisson Process Likelihoods
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Limitations of Latent ODEs
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Stochastic transition dynamics
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What are SDEs good for?
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What is "running an SDE backwards"?
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Variational inference
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1D Latent SDE
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Summary
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Related work 1
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Related work 2
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Explore deep continuous-time predictive models for irregularly-sampled, sparse time series in this 47-minute conference talk by David Duvenaud, Assistant Professor at the University of Toronto. Begin with simple feedforward approaches and progress to latent-variable stochastic differential equation models. Learn about regularizing differential equation-based models for improved computational efficiency. Cover topics such as ordinary differential equations, autoregressive continuous-time models, limitations of RNN-based models, latent variable models, ODE latent-variable models, Poisson Process Likelihoods, stochastic transition dynamics, and variational inference. Gain insights into the applications and limitations of various models, including SDEs and Latent ODEs, and understand their relevance in predictive accuracy for datasets like Physionet.
A Cookbook for Deep Continuous-Time Predictive Models