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Accelerator-based neutrino beams are at the heart of many recent advances in physics, and will be key to making progress in the future. These beams have evolved into major facilities whose design, construction, operation, and analysis form a lively subfield within experimental high-energy physics. This seminar will describe the physics and design principles behind a neutrino beam, as well as the analysis challenges associated with these beams and new experimental effort to solve them.