[1] Kendall Atkinson, Weimin Han, and David E Stewart. Numerical solution of ordinary differential equations, volume 108. John Wiley & Sons, 2011.
[2] Fan Bao, Chongxuan Li, Jiacheng Sun, Jun Zhu, and Bo Zhang. Estimating the optimal covariance with imperfect mean in diffusion probabilistic models. In International Conference on Machine Learning, pages 1555-1584. PMLR, 2022.
[3] Fan Bao, Chongxuan Li, Jun Zhu, and Bo Zhang. Analytic-DPM: An analytic estimate of the optimal reverse variance in diffusion probabilistic models. In International Conference on Learning Representations, 2022.
[4] Costas Bekas, Effrosyni Kokiopoulou, and Yousef Saad. An estimator for the diagonal of a matrix. Applied numerical mathematics, 57(11-12):1214-1229, 2007.
[5] Mari Paz Calvo and César Palencia. A class of explicit multistep exponential integrators for semilinear problems. Numerische Mathematik, 102:367-381, 2006.
[6] Nanxin Chen, Yu Zhang, Heiga Zen, Ron J. Weiss, Mohammad Norouzi, and William Chan. Wavegrad: Estimating gradients for waveform generation. In International Conference on Learning Representations, 2021.
[7] Hyungjin Chung, Jeongsol Kim, Michael Thompson McCann, Marc Louis Klasky, and Jong Chul Ye. Diffusion posterior sampling for general noisy inverse problems. In The Eleventh International Conference on Learning Representations, 2022.
[8] Guillaume Couairon, Jakob Verbeek, Holger Schwenk, and Matthieu Cord. Diffedit: Diffusion-based semantic image editing with mask guidance. In The Eleventh International Conference on Learning Representations, 2022.
[9] Jia Deng, Wei Dong, Richard Socher, Li-Jia Li, Kai Li, and Li Fei-Fei. ImageNet: A large-scale hierarchical image database. In 2009 IEEE Conference on Computer Vision and Pattern Recognition, pages 248-255. IEEE, 2009.
[10] Prafulla Dhariwal and Alexander Quinn Nichol. Diffusion models beat GANs on image synthesis. In Advances in Neural Information Processing Systems, volume 34, pages 8780-8794, 2021.
[11] Tim Dockhorn, Arash Vahdat, and Karsten Kreis. Genie: Higher-order denoising diffusion solvers. In Advances in Neural Information Processing Systems, 2022.
[12] Alfredo Eisinberg and Giuseppe Fedele. On the inversion of the vandermonde matrix. Applied mathematics and computation, 174(2):1384-1397, 2006.
[13] Ian J. Goodfellow, Jean Pouget-Abadie, Mehdi Mirza, Bing Xu, David Warde-Farley, Sherjil Ozair, Aaron C. Courville, and Yoshua Bengio. Generative adversarial nets. In Advances in Neural Information Processing Systems, volume 27, pages 2672-2680, 2014.
[14] Jonathan Ho, William Chan, Chitwan Sahara, Jay Whang, Ruiqi Gao, Alexey Gritsenko, Diederik P Kingma, Ben Poole, Mohammad Norouzi, David J Fleet, et al. Imagen video: High definition video generation with diffusion models. arXiv preprint arXiv:2210.02303, 2022.
[15] Jonathan Ho, Ajay Jain, and Pieter Abbeel. Denoising diffusion probabilistic models. In Advances in Neural Information Processing Systems, volume 33, pages 6840-6851, 2020.
[16] Jonathan Ho and Tim Salimans. Classifier-free diffusion guidance. In NeurIPS 2021 Workshop on Deep Generative Models and Downstream Applications, 2021.
[17] Marlis Hochbruck and Alexander Ostermann. Explicit exponential Runge-Kutta methods for semilinear parabolic problems. SIAM Journal on Numerical Analysis, 43(3):1069-1090, 2005.
[18] Marlis Hochbruck and Alexander Ostermann. Exponential integrators. Acta Numerica, 19:209-286, 2010.