Christian Serio

Stanford

“Limit theorems for random growth and interface models”

My research focuses on probability theory and its applications to statistical mechanics. I am especially interested in understanding universal scaling limits of random interface models.

ABSTRACT

Most real-world data-driven decision-making problems involve elements of uncertainty. Take, for example, the problem of portfolio optimization, where future returns on investments are unknown. However, we often have additional context that may help resolve some uncertainty. In portfolio optimization, examples of context include recent investment returns, economic indicators and current events. To solve problems with both uncertainty and context, the traditional approach is “predict-then-optimize:” predict unknown parameters based on context with a machine learning model, then use those predictions to find an optimal decision with mathematical programming. Recently, researchers have developed machine learning algorithms for integrating the prediction and optimization stages, with strong evidence of integration boosting decision quality. However, these algorithms are often unusable with large-scale problems due to computational complexity. In our work, we leverage the shared structure of many practical decision-making problems in order to develop scalable algorithms that integrate optimization for decision-making directly into machine learning pipelines.
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