* co-first authors with equal contribution. ^# corresponding author.

Submitted

• Ya-Nan Zhu. 2025. Accelerated primal dual fixed point algorithm.
• Jiulong Liu, Fengmiao Bian, Ya-Nan Zhu, and Hao Gao. 2025. A stochastic operator-splitting algorithm for minimum-monitor-unit threshold optimization in proton FLASH therapy.
• Ya-Nan Zhu*, Nimita Shinde*, Bowen Lin, and Hao Gao. 2025. An energy optimization method based on mixed-integer model and variational quantum computing algorithm for faster IMPT.
• Nimita Shinde, Ya-Nan Zhu, Haozheng Shen, Hao Gao. 2025. A quantum computing approach to beam angle optimization.
• Nimita Shinde, Ya-Nan Zhu, Wei Wang, Wangyao Li, Yuting Lin, Gregory N Gan, Christopher Lominska, Ronny Rotondo, Ronald C Chen, Hao Gao. 2024. Multi-IMPT: a biologically equivalent approach to proton ARC therapy.
• Junyi Fan*,Ya-Nan Zhu*, Yuting Lin, Jianfeng Cai, Ying Luo, Qiang Li, Xiaoqun Zhang and Hao Gao. 2024. Rigorous Spot Reduction (RSR) method for proton ARC therapy.

Publications

• Ying Luo*, Ya-Nan Zhu*, Jufri Setianegara, Xue Hong, Weijie Zhang, Chao Wang, Yuting Lin, Qiang Li, Hao Gao. 2026. Single-field-uniform-dose-per-fraction simultaneous dose and dose rate optimization (SFUDPF-SDDRO) method for proton FLASH therapy. Accepted by Medical Physics.
• Xin Tong, Weijie Zhang, Ya-Nan Zhu, Xue Hong, Chao Wang, Jufri Setianegara, Yuting Lin, Hao Gao. 2026. Dose optimization with fully flexible vertex positioning for LATTICE radiotherapy. Medical Physics, 53(1), e70262.
• Jiaxin Li, Ya-Nan Zhu, Li Lyu, Zhong Chen, Fazal Khan, Wangyao Li, Chao Wang, Gregory N Gan, Chris Lominska, Qiang Li, Weiqiang Chen, Hao Gao. 2025. Efficient proton-photon patient selection via dose and NTCP prediction for head-and-neck cancer patients. Medical Physics, 52(12), e70183.
• Jiayue Han, Aoxiang Wang, Ya-Nan Zhu^#, Wangyao Li, Yuting Lin, Hao Gao^#. 2025. Joint Range-modulator and Spot Optimization for Bragg-peak Proton FLASH Radiotherapy. Medical Physics，52(12), e70171.
• Yuanwei Zhang, Ya-Nan Zhu, Xiaoqun Zhang. 2025. A Single-Mode Quasi Riemannian Gradient Descent Algorithm for Low-Rank Tensor Recovery. Journal of Scientific Computing, 106(1), 23.
• Ying Luo, Chao Wang, Ya-Nan Zhu, Wangyao Li, Daniel Johnson, Yuting Lin, David Akhavan, Krishna Reddy, Carolyn Savioz, Qiang Li, Hao Gao. 2025. A regularized‐multi‐field optimization algorithm for robust IMPT. Medical Physics, 52(8), e18046.
• Ya-Nan Zhu, Weijie Zhang, Yuting Ling, Hao Gao. 2025. Equivalent-uniform-dose optimization for spatially fractionated radiation therapy. Technology in Cancer Research & Treatment, 24, 15330338251380609.
• Jiangjun Ma*, Ya-Nan Zhu*, Min Tang, Hao Gao. 2025. A multi-arc and constant-energy-per-arc treatment planning method for efficient proton ARC therapy. Medical Physics. 52(10), e18089.
• Aoxiang Wang*, Ya-Nan Zhu*, Jufri Setianegara, Yuting Lin, Valentin Hamaide, Arnaud Pin, Peng Xiao, Qingguo Xie, and Hao Gao. 2025. New energy layer reduction method for rapid intensity-modulated proton therapy (IMPT) using a ridge filter. Medical Physics, 52(8), e18031.
• Aoxiang Wang, Ya-Nan Zhu^#, Jufri Setianegara, Yuting Lin, Peng Xiao, Qingguo Xie, Hao Gao. 2025. Development and experimental validation of an in-house treatment planning system with greedy energy layer optimization for fast IMPT. Medical Physics, 52(7), e17941.
• Jiulong Liu,Ya-Nan Zhu^#, Xiaoqun Zhang, Hao Gao. 2025. An efficient operator-splitting minimax algorithm for robust optimization. Medical Physics, 52(7), e17929.
• Chao Wang, Ya-Nan Zhu, Wangyao Li, Yuting Lin, Hao Gao. 2025. A biological optimization method for carbon therapy via iterative Jacobian-based linearization. Physics in Medicine and Biology, 70(10), 105006.
• Jingbo Xu,Ya-Nan Zhu, Xiaoqun Zhang, Qiaoqiao Ding. 2025. Personalized Artifacts Modeling and Federated Learning for Multi-institutional Low Dose CT Reconstruction. Inverse Problem and Imaging, 0-0.
• Ya-Nan Zhu, Weijie Zhang, Jufri Setianegara, Yuting Lin, Erik Traneus,Yong Long, Xiaoqun Zhang, Rajeev Badkul, David Akhavan, Fen Wang, Ronald C Chen, Hao Gao. 2024. Proton ARC based LATTICE radiation therapy: feasibility study, energy layer optimization and LET optimization. Physics in Medicine & Biology, 69(21), 215027.
• Ya-Nan Zhu, Jingwei Liang, Xiaoqun Zhang. 2024. Federated Primal Dual Fixed Point Algorithm. SIAM Journal on Mathematics of Data Science, 6(4), 1138-1172.
• Jiangjun Ma, Yuting Lin, Min Tang, Ya-Nan Zhu, Gregory N. Gan, Ronny L. Rotondo, Ronald C. Chen, Hao Gao. 2024. SDDRO-DMF: Simultaneous Dose and Dose Rate Optimization (SDDRO) via Dose Modifying Factor (DMF) modeling for FLASH effective dose. Medical Physics，51(6), 1234-1245.
• Yuanwei Zhang, Ya-Nan Zhu, Xiaoqun Zhang. 2024. Compressing MIMO Channel Submatrices with Tucker Decomposition: Enabling Efficient Storage and Reducing SINR Computation Overhead. CSIAM Trans. Appl. Math., 3, 615-635.
• Zhe Xiong, Lei Li, Ya-Nan Zhu, Xiaoqun Zhang. 2024. On the convergence of continuous and discrete unbalanced optimal transport models. SIAM Journal on Numerical Analysis, 62(2): 749-774.
• Zhao He, Ya-Nan Zhu,Yu Chen, Yu Chen, Yi Chen, Yuchen He, Yuhao Sun, Tao Wang, Chengcheng Zhang, Bomin Sun, Fuhua Yan, Xiaoqun Zhang, Qing-Fang Sun, GuangZhong Yang, Yuan Feng. 2023. A deep unrolled neural network for real-time MRI-guided brain intervention. Nature Communications, 14(1), 8257.
• Ya-Nan Zhu, Xiaoqun Zhang, Chris Lominska, Yuting Lin, Hao Gao. 2023 An orthogonal matching pursuit optimization method for solving minimum‐monitor‐unit problems: Applications to proton IMPT, ARC and FLASH. Medical Physics, 50(8), 4710-4720.
• Zhao He*, Ya-Nan Zhu*, Hao Qiu, Tao Wang, Chencheng Zhang, Bomin Sun, Xiaoqun Zhang, Yuan Feng. 2022. Low-Rank and framelet based sparsity decomposition for interventional MRI reconstruction. IEEE Transactions on Biomedical Engineering, 69(7), 2294-2304.
• Ya-Nan Zhu, Xiaoqun Zhang. 2021. A stochastic variance reduced primal dual fixed point method for linearly constrained separable optimization. SIAM Journal on Imaging Sciences, 14(3), 1326-1353.
• Ya-Nan Zhu, Xiaoqun Zhang. 2021.Two modified schemes for the primal dual fixed point method. CSIAM Trans. Appl. Math., 2, 108-130.
• Ya-Nan Zhu, Xiaoqun Zhang. 2020. Stochastic primal dual fixed point method for composite optimization. Journal of Scientific Computing, 84(1), 16.