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Program Generation with Spiral: Beyond Transforms

Program Generation with Spiral: Beyond Transforms. Franz Franchetti, Daniel Mcfarlin, Fréd é ric de Mesmay, Hao Shen, Tomasz W. Włodarczyk , Srinivas Chellappa, Marek R. Telgarsky, Peter A. Milder, Yevgen Voronenko, Qian Yu , James C. Hoe, Jos é M. F. Moura, Markus Püschel

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Program Generation with Spiral: Beyond Transforms

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  1. Program Generation with Spiral: Beyond Transforms Franz Franchetti, Daniel Mcfarlin, Frédéricde Mesmay, Hao Shen, Tomasz W. Włodarczyk, Srinivas Chellappa, Marek R. Telgarsky, Peter A. Milder, Yevgen Voronenko, Qian Yu, James C. Hoe, JoséM. F. Moura, Markus Püschel Electrical and Computer Engineering Carnegie Mellon University This work was supported by DARPA DESA program, NSF-NGS/ITR, NSF-ACR, Mercury Inc., and Intel

  2. Vision Behind Spiral Current Future Numerical problem Numerical problem human effort algorithm selection C program algorithm selection implementation automated implementation compilation compilation automated Computing platform Computing platform C code a singularity: Compiler hasno access to high level information Challenge: conquer the high abstraction level for complete automation

  3. Main Idea: Program Generation Model: common abstraction = spaces of matching formulas abstraction abstraction νp μ defines rewriting search pick algorithm space architecture space Architectural parameter: Vector length, #processors, … Kernel: problem size, algorithm choice optimization

  4. Expressing Kernels as Operator Formulas Matrix-Matrix Multiplication Viterbi Decoder 11 10 01 01 10 10 11 00 11 10 00 01 10 01 11 00 010001 010001 convolutionalencoder Viterbi decoder £ = JPEG 2000 (Wavelet, EBCOT) Synthetic Aperture Radar (SAR) JPEG 2000 Compression matched filtering preprocessing interpolation 2D iFFT DWT quantization entropy coding (EBCOT + MQ)

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