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High-Performance Computing: Algorithms and Applications to Physical and. Biological Systems. Paris Perdikaris. Massachusetts Institute of Technology.
Typology: Exams
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9:20am Introduction Mathieu Desbrun Caltech
9:30am Data Privacy: How to Survive the Inference Avalanche
Reza Shokri Cornell University
10:30am Coffee Break
11:00am Data-Driven Probabilistic Modeling and High-Performance Computing: Algorithms and Applications to Physical and Biological Systems
Paris Perdikaris Massachusetts Institute of Technology
1:15pm Extreme Events and Metastability in Fluids and Waves
Tobias Grafke New York University
2:15pm Coffee Break
2:45pm Towards a Theory of Fairness in Machine Learning
Jamie Morgenstern University of Pennsylvania
3:45pm Coffee Break
4:15pm Shared-Memory Parallelism Can Be Simple, Fast, and Scalable
Julian Shun UC Berkeley
Towards a Theory of Fairness in Machine Learning
Jamie Morgenstern University of Pennsylvania
Algorithm design has moved from being a tool used exclusively for designing systems to one used to present people with personalized content, advertisements, and other economic opportunities. Massive amounts of information is recorded about people's online behavior including the websites they visit, the advertisements they click on, their search history, and their IP address. Algorithms then use this information for many purposes: to choose which prices to quote individuals for airline tickets, which advertisements to show them, and even which news stories to promote. These systems create new challenges for algorithm design. When a person's behavior influences the prices they may face in the future, they may have a strong incentive to modify their behavior to improve their long-term utility; therefore, these algorithms' performance should be resilient to strategic manipulation. Furthermore, when an algorithm makes choices that affect people's everyday lives, the effects of these choices raise ethical concerns such as whether the algorithm's behavior violates individuals' privacy or whether the algorithm treats people fairly.
Machine learning algorithms in particular have received much attention for exhibiting bias, or unfairness, in a large number of contexts. In this talk, I will describe my recent work on developing a definition of fairness for machine learning. One definition of fairness, encoding the notion of 'fair equality of opportunity', informally, states that if one person has higher expected quality than another person, the higher quality person should be given at least as much opportunity as the lower quality person. I will present a result characterizing the performance degradation of algorithms which satisfy this condition in the contextual bandits setting. To complement these theoretical results, I then present the results of several empirical evaluations of fair algorithms.
I will also briefly describe my work on designing algorithms whose performance guarantees are resilient to strategic manipulation of their inputs, and machine learning for optimal auction design.
Data-Driven Probabilistic Modeling and High-Performance Computing: Algorithms and Applications to Physical and Biological Systems
Biography: Paris Perdikaris received his PhD in Applied Mathematics from Brown University in May 2015. His expertise lies in probabilistic machine learning, computational fluid dynamics, multi-fidelity modeling, uncertainty quantification, and parallel scientific computing. While at Brown he developed scalable machine learning algorithms for predictive multi-fidelity modeling of high- dimensional systems. A parallel research thrust involved developing mathematical models for simulating cardiovascular fluid flows and assessing the characteristics of cerebral pathologies such as cerebral aneurysms in-silico. In June 2015, he moved to MIT as a post-doctoral research associate at the department of Mechanical Engineering and the MIT Sea Grant College Program. His research at MIT is focused on designing a scalable data-driven framework for uncertainty quantification, inverse problems, design optimization, and beyond. The developed algorithms are currently used for risk-averse design optimization of super-cavitating hydrofoils, as well as data assimilation of noisy measurements in coastal regions. Moreover, he has co-advised an undergraduate student working on active learning and data acquisition under uncertainty, and a masters student working on deep learning techniques for object recognition, tracking, and autonomous marine navigation. From 2010-present he has been actively involved in several research projects funded by major US agencies including DOE, AFOSR, NIH and DARPA.
Shared-Memory Parallelism
Can Be Simple, Fast, and Scalable
Julian Shun UC Berkeley