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Intro
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Data-driven algorithm design
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Sequence alignment algorithms
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Automated configuration
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This talk: Main result
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Domains with piecewise structure
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Primary challenge in combinatorial domains
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Example: Sequence alignment
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Algorithmic performance
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Generalization bounds
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Piecewise constant utility function
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Primal & dual classes
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Warmup: 1-dimensional parameters
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Intrinsic complexity
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Main result (informal)
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Outline
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Piecewise constant dual functions
Description:
Explore a 25-minute lecture on data-driven algorithm design and its impact on runtime and solution quality. Delve into Ellen Vitercik's research from Carnegie Mellon University, presented at the Deep Learning and Combinatorial Optimization 2021 conference. Discover generalization guarantees for data-driven algorithm design, addressing the challenge of volatile performance in combinatorial algorithms. Learn about the unifying structure that enables broadly applicable theoretical guarantees, covering parameterized greedy algorithms, clustering algorithms, integer programming, and selling mechanisms. Examine how these guarantees apply to algorithms with piecewise-constant, -linear, or piecewise-structured performance functions. Gain insights into novel bounds for dynamic programming algorithms used in computational biology and explore topics such as sequence alignment algorithms, automated configuration, and the intrinsic complexity of algorithmic performance.

How Much Data Is Sufficient to Learn High-Performing Algorithms?

Institute for Pure & Applied Mathematics (IPAM)
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