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@book{yuan2023measure,
title={测度论基础与高等概率论},
author={袁德美 and 王学军},
publisher={科学出版社},
year={2023},
address={北京},
isbn={978-7-03-074269-8},
totalpages={684}
}
@book{tao2023analysis1,
title = {Analysis I},
subtitle = {Fourth Edition},
author = {Tao, Terence},
series = {Texts and Readings in Mathematics},
volume = {37},
edition = {4th},
year = {2023},
publisher = {Springer Singapore},
doi = {10.1007/978-981-19-7261-4},
isbn = {978-981-19-7261-4}
}
@book{tao2023analysis2,
title = {Analysis II},
subtitle = {Fourth Edition},
author = {Tao, Terence},
series = {Texts and Readings in Mathematics},
volume = {38},
edition = {4th},
year = {2023},
publisher = {Springer Singapore},
doi = {10.1007/978-981-19-7284-3},
isbn = {978-981-19-7284-3}
}
@book{rudin1976principles,
title = {Principles of Mathematical Analysis},
author = {Rudin, Walter},
edition = {3rd},
year = {1976},
publisher = {McGraw-Hill},
series = {International Series in Pure and Applied Mathematics},
isbn = {0-07-054235-X},
address = {New York}
}
@book{fraleigh2021first,
title = {A First Course in Abstract Algebra},
author = {Fraleigh, John B. and Brand, Neal},
note = {Historical notes by Victor J. Katz},
edition = {8th},
year = {2021},
publisher = {Pearson},
address = {Hoboken, New Jersey},
series = {World Student Series},
isbn = {978-0-13-575816-8}
}
@book{marx20021844,
author = {卡尔·马克思},
title = {1844年经济学哲学手稿},
publisher = {人民出版社},
year = {2002},
address = {北京},
edition = {第2版},
note = {收入《马克思恩格斯全集》中文第二版第三卷;亦可参看第四十二卷}
}
@book{marx1972capital,
author = {卡尔·马克思},
title = {资本论(第一卷)},
publisher = {人民出版社},
year = {1972},
address = {北京},
note = {根据《马克思恩格斯全集》第二十三卷整理}
}
@book{kant2004critique,
author = {伊曼努尔·康德},
title = {纯粹理性批判},
}
@article{ho2020denoising,
title = {Denoising Diffusion Probabilistic Models},
author = {Ho, Jonathan and Jain, Ajay and Abbeel, Pieter},
journal = {Advances in Neural Information Processing Systems},
volume = {33},
pages = {6840--6851},
year = {2020}
}
@article{song2020score,
title = {Score-Based Generative Modeling through Stochastic Differential Equations},
author = {Song, Yang and Sohl-Dickstein, Jascha and Kingma, Diederik P. and Kumar, Abhishek and Ermon, Stefano and Poole, Ben},
journal = {arXiv preprint arXiv:2011.13456},
year = {2020}
}
@article{song2020denoising,
title = {Denoising Diffusion Implicit Models},
author = {Song, Jiaming and Meng, Chenlin and Ermon, Stefano},
journal = {arXiv preprint arXiv:2010.02502},
year = {2020}
}
@article{vincent2011connection,
title = {A Connection Between Score Matching and Denoising Autoencoders},
author = {Vincent, Pascal},
journal = {Neural Computation},
volume = {23},
number = {7},
pages = {1661--1674},
year = {2011},
publisher = {MIT Press}
}
@article{karras2022elucidating,
title = {Elucidating the Design Space of Diffusion-Based Generative Models},
author = {Karras, Tero and Aittala, Miika and Aila, Timo and Laine, Samuli},
journal = {Advances in Neural Information Processing Systems},
volume = {35},
pages = {26565--26577},
year = {2022}
}
@inproceedings{song2023loss,
title = {Loss-Guided Diffusion Models for Plug-and-Play Controllable Generation},
author = {Song, Jiaming and Zhang, Qinsheng and Yin, Hongxu and Mardani, Morteza and Liu, Ming-Yu and Kautz, Jan and Chen, Yongxin and Vahdat, Arash},
booktitle = {International Conference on Machine Learning},
pages = {32483--32498},
year = {2023},
organization = {PMLR}
}
@article{chung2022diffusion,
title = {Diffusion Posterior Sampling for General Noisy Inverse Problems},
author = {Chung, Hyungjin and Kim, Jeongsol and McCann, Michael T. and Klasky, Marc L. and Ye, Jong Chul},
journal = {arXiv preprint arXiv:2209.14687},
year = {2022}
}
@book{villani2008optimal,
title = {Optimal Transport: Old and New},
author = {Villani, C{\'e}dric},
volume = {338},
year = {2008},
publisher = {Springer}
}
@article{ben2022matching,
title = {Matching Normalizing Flows and Probability Paths on Manifolds},
author = {Ben-Hamu, Heli and Cohen, Samuel and Bose, Joey and Amos, Brandon and Grover, Aditya and Nickel, Maximilian and Chen, Ricky T. Q. and Lipman, Yaron},
journal = {arXiv preprint arXiv:2207.04711},
year = {2022}
}
@article{lipman2022flow,
title = {Flow Matching for Generative Modeling},
author = {Lipman, Yaron and Chen, Ricky T. Q. and Ben-Hamu, Heli and Nickel, Maximilian and Le, Matt},
journal = {arXiv preprint arXiv:2210.02747},
year = {2022}
}
@article{song2024unraveling,
title = {Unraveling the Connections Between Flow Matching and Diffusion Probabilistic Models in Training-Free Conditional Generation},
author = {Song, Kaiyu and Lai, Hanjiang},
journal = {arXiv preprint arXiv:2411.07625},
year = {2024}
}
@article{butcher2025novo,
title = {De Novo Design of All-Atom Biomolecular Interactions with RFdiffusion3},
author = {Butcher, Jasper and Krishna, Rohith and Mitra, Raktim and Brent, Rafael I. and Li, Yanjing and Corley, Nathaniel and Kim, Paul T. and Funk, Jonathan and Mathis, Simon and Salike, Saman and others},
journal = {bioRxiv},
year = {2025}
}