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Explore the intersection of classic computational approaches and modern tensor network methods in this conference talk by Miles Stoudenmire from the Flatiron Institute. Delve into how combining the Bethe approximation, quantum Fourier transform, and tensor networks can tackle high-dimensional problems previously considered intractable. Learn about groundbreaking applications in solving complex differential equations, simulating quantum circuits, and modeling dynamics on 2D and 3D lattices. Gain insights into the synergy between established ideas and cutting-edge techniques that are revolutionizing computational problem-solving across various scientific domains.