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Michael Polson

Publications and source records attributed to Michael Polson.

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Strategic Bayesian Asset Allocation

Strategic asset allocation requires an investor to select stocks from a given basket of assets. The perspective of our investor is to maximize risk-adjusted alpha returns relative to a benchmark index. Historical returns are used to provide inputs into an optimization algorithm. Our approach uses Bayesian regularization to not only provide stock selection but also optimal sequential portfolio weights. By incorporating investor preferences with a number of different regularization penalties we extend the approaches of Black (1992) and Puelz (2015). We tailor standard sparse MCMC algorithms to calculate portfolio weights and perform selection. We illustrate our methodology on stock selection from the SP100 stock index and from the top fifty holdings of two hedge funds Renaissance Technologies and Viking Global. Finally, we conclude with directions for future research.

stat.AP

Deep Learning for Energy Markets

Deep Learning is applied to energy markets to predict extreme loads observed in energy grids. Forecasting energy loads and prices is challenging due to sharp peaks and troughs that arise due to supply and demand fluctuations from intraday system constraints. We propose deep spatio-temporal models and extreme value theory (EVT) to capture theses effects and in particular the tail behavior of load spikes. Deep LSTM architectures with ReLU and $\tanh$ activation functions can model trends and temporal dependencies while EVT captures highly volatile load spikes above a pre-specified threshold. To illustrate our methodology, we use hourly price and demand data from 4719 nodes of the PJM interconnection, and we construct a deep predictor. We show that DL-EVT outperforms traditional Fourier time series methods, both in-and out-of-sample, by capturing the observed nonlinearities in prices. Finally, we conclude with directions for future research.

stat.ML