papers

1. 

   Operator Learning: A Statistical Perspective

   Unique Subedi and Ambuj Tewari

   Annual Review of Statistics and Its Applications, 2026

   DOI arXiv Bib

   @article{subedi2026operatorperspective,
     title = {Operator Learning: A Statistical Perspective},
     author = {Subedi, Unique and Tewari, Ambuj},
     journal = {Annual Review of Statistics and Its Applications},
     year = {2026},
     volume = {13},
     pages = {123--148},
     doi = {10.1146/annurev-statistics-042424-070908},
   }

2. 

   On the Benefits of Active Data Collection in Operator Learning (Spotlight)

   Unique Subedi and Ambuj Tewari

   International Conference on Machine Learning, 2025

   arXiv Bib

   Spotlight

   @inproceedings{subedi2025activedata,
     title = {On the Benefits of Active Data Collection in Operator Learning},
     author = {Subedi, Unique and Tewari, Ambuj},
     booktitle = {International Conference on Machine Learning},
     year = {2025},
   }

3. 

   A Unified Theory of Supervised Online Learnability (Outstanding Paper Award)

   Vinod Raman^*, Unique Subedi^*, and Ambuj Tewari

   Conference on Algorithmic Learning Theory, 2025

   Bib HTML

   Outstanding Paper Award

   @inproceedings{raman2025unified,
     title = {A Unified Theory of Supervised Online Learnability},
     author = {Raman, Vinod and Subedi, Unique and Tewari, Ambuj},
     booktitle = {Conference on Algorithmic Learning Theory},
     year = {2025},
   }

1. 

   Operator Learning for Schrödinger Equation: Unitarity, Error Bounds, and Time Generalization

   Yash Patel^*, Unique Subedi^*, and Ambuj Tewari

   Preprint, 2025

   arXiv Bib

   @article{subedi2025schrodinger,
     title = {Operator Learning for Schr{\"o}dinger Equation: Unitarity, Error Bounds, and Time Generalization},
     author = {Patel, Yash and Subedi, Unique and Tewari, Ambuj},
     journal = {Preprint},
     year = {2025},
   }

2026

1. 

   Learning to Choose or Choosing to Learn: Best-of-N vs. Supervised Fine-Tuning for Bit String Generation

   Seamus Somerstep, Vinod Raman, Unique Subedi, and 1 more author

   International Conference on Artificial Intelligence and Statistics, 2026

   Bib PDF

   @inproceedings{subedi2026bestofn,
     title = {Learning to Choose or Choosing to Learn: Best-of-N vs. Supervised Fine-Tuning for Bit String Generation},
     author = {Somerstep, Seamus and Raman, Vinod and Subedi, Unique and Sun, Yuekai},
     booktitle = {International Conference on Artificial Intelligence and Statistics},
     year = {2026},
   }

2. 

   Operator Learning: A Statistical Perspective

   Unique Subedi and Ambuj Tewari

   Annual Review of Statistics and Its Applications, 2026

   DOI arXiv Bib

   @article{subedi2026operatorperspective,
     title = {Operator Learning: A Statistical Perspective},
     author = {Subedi, Unique and Tewari, Ambuj},
     journal = {Annual Review of Statistics and Its Applications},
     year = {2026},
     volume = {13},
     pages = {123--148},
     doi = {10.1146/annurev-statistics-042424-070908},
   }

2025

1. 

   Controlling Statistical, Discretization, and Truncation Errors in Learning Fourier Linear Operators

   Unique Subedi and Ambuj Tewari

   Transactions on Machine Learning Research, 2025

   Bib PDF

   @article{subedi2025fourieroperators,
     title = {Controlling Statistical, Discretization, and Truncation Errors in Learning Fourier Linear Operators},
     author = {Subedi, Unique and Tewari, Ambuj},
     journal = {Transactions on Machine Learning Research},
     year = {2025},
   }

2. 

   On the Benefits of Active Data Collection in Operator Learning (Spotlight)

   Unique Subedi and Ambuj Tewari

   International Conference on Machine Learning, 2025

   arXiv Bib

   Spotlight

   @inproceedings{subedi2025activedata,
     title = {On the Benefits of Active Data Collection in Operator Learning},
     author = {Subedi, Unique and Tewari, Ambuj},
     booktitle = {International Conference on Machine Learning},
     year = {2025},
   }

3. 

   The Complexity of Sequential Prediction in Dynamical Systems (Oral)

   Vinod Raman^*, Unique Subedi^*, and Ambuj Tewari

   Learning for Dynamics and Control Conference, 2025

   arXiv Bib

   Oral presentation

   @inproceedings{subedi2025dynamics,
     title = {The Complexity of Sequential Prediction in Dynamical Systems},
     author = {Raman, Vinod and Subedi, Unique and Tewari, Ambuj},
     booktitle = {Learning for Dynamics and Control Conference},
     year = {2025},
   }

4. 

   A Unified Theory of Supervised Online Learnability (Outstanding Paper Award)

   Vinod Raman^*, Unique Subedi^*, and Ambuj Tewari

   Conference on Algorithmic Learning Theory, 2025

   Bib HTML

   Outstanding Paper Award

   @inproceedings{raman2025unified,
     title = {A Unified Theory of Supervised Online Learnability},
     author = {Raman, Vinod and Subedi, Unique and Tewari, Ambuj},
     booktitle = {Conference on Algorithmic Learning Theory},
     year = {2025},
   }

2024

1. 

   A Characterization of Multioutput Learnability

   Vinod Raman^*, Unique Subedi^*, and Ambuj Tewari

   Journal of Machine Learning Research, 2024

   arXiv Bib

   @article{subedi2024multioutput,
     title = {A Characterization of Multioutput Learnability},
     author = {Raman, Vinod and Subedi, Unique and Tewari, Ambuj},
     journal = {Journal of Machine Learning Research},
     year = {2024},
   }

2. 

   Multiclass Transductive Online Learning (Spotlight)

   (α-β) Steve Hanneke, Vinod Raman, Amirreza Shaeiri, and 1 more author

   Advances in Neural Information Processing Systems, 2024

   arXiv Bib

   Spotlight

   @inproceedings{subedi2024transductive,
     title = {Multiclass Transductive Online Learning},
     author = {Hanneke, Steve and Raman, Vinod and Shaeiri, Amirreza and Subedi, Unique},
     booktitle = {Advances in Neural Information Processing Systems},
     year = {2024},
   }

3. 

   Smoothed Online Classification can be Harder than Batch Classification

   Vinod Raman^*, Unique Subedi^*, and Ambuj Tewari

   Advances in Neural Information Processing Systems, 2024

   Bib PDF

   @inproceedings{subedi2024smoothed,
     title = {Smoothed Online Classification can be Harder than Batch Classification},
     author = {Raman, Vinod and Subedi, Unique and Tewari, Ambuj},
     booktitle = {Advances in Neural Information Processing Systems},
     year = {2024},
   }

4. 

   Online Learning with Set-Valued Feedback

   Vinod Raman^*, Unique Subedi^*, and Ambuj Tewari

   Conference on Learning Theory, 2024

   arXiv Bib

   @inproceedings{subedi2024setvalued,
     title = {Online Learning with Set-Valued Feedback},
     author = {Raman, Vinod and Subedi, Unique and Tewari, Ambuj},
     booktitle = {Conference on Learning Theory},
     year = {2024},
   }

5. 

   Apple Tasting: Combinatorial Dimensions and Minimax Rates

   Vinod Raman^*, Unique Subedi^*, Ananth Raman, and 1 more author

   Conference on Learning Theory, 2024

   arXiv Bib

   @inproceedings{subedi2024appletasting,
     title = {Apple Tasting: Combinatorial Dimensions and Minimax Rates},
     author = {Raman, Vinod and Subedi, Unique and Raman, Ananth and Tewari, Ambuj},
     booktitle = {Conference on Learning Theory},
     year = {2024},
   }

6. 

   Online Infinite-Dimensional Regression: Learning Linear Operators

   Vinod Raman^*, Unique Subedi^*, and Ambuj Tewari

   Conference on Algorithmic Learning Theory, 2024

   arXiv Bib

   @inproceedings{subedi2024infinite,
     title = {Online Infinite-Dimensional Regression: Learning Linear Operators},
     author = {Raman, Vinod and Subedi, Unique and Tewari, Ambuj},
     booktitle = {Conference on Algorithmic Learning Theory},
     year = {2024},
   }

7. 

   Multiclass Online Learnability under Bandit Feedback

   Ananth Raman, Vinod Raman^*, Unique Subedi^*, and 2 more authors

   Conference on Algorithmic Learning Theory, 2024

   arXiv Bib

   @inproceedings{subedi2024bandit,
     title = {Multiclass Online Learnability under Bandit Feedback},
     author = {Raman, Ananth and Raman, Vinod and Subedi, Unique and Mehalel, Idan and Tewari, Ambuj},
     booktitle = {Conference on Algorithmic Learning Theory},
     year = {2024},
   }

2023

1. 

   On the Learnability of Multilabel Ranking (Spotlight)

   Vinod Raman^*, Unique Subedi^*, and Ambuj Tewari

   Advances in Neural Information Processing Systems, 2023

   arXiv Bib

   Spotlight

   @inproceedings{subedi2023multilabel,
     title = {On the Learnability of Multilabel Ranking},
     author = {Raman, Vinod and Subedi, Unique and Tewari, Ambuj},
     booktitle = {Advances in Neural Information Processing Systems},
     year = {2023},
   }

2. 

   On Proper Learnability between Average- and Worst-case Robustness

   Vinod Raman^*, Unique Subedi^*, and Ambuj Tewari

   Advances in Neural Information Processing Systems, 2023

   arXiv Bib

   @inproceedings{subedi2023robustness,
     title = {On Proper Learnability between Average- and Worst-case Robustness},
     author = {Raman, Vinod and Subedi, Unique and Tewari, Ambuj},
     booktitle = {Advances in Neural Information Processing Systems},
     year = {2023},
   }

3. 

   Multiclass Online Learning and Uniform Convergence

   (α-β) Steve Hanneke, Shay Moran, Vinod Raman, and 2 more authors

   Conference on Learning Theory, 2023

   Bib HTML

   @inproceedings{subedi2023uniform,
     title = {Multiclass Online Learning and Uniform Convergence},
     author = {Hanneke, Steve and Moran, Shay and Raman, Vinod and Subedi, Unique and Tewari, Ambuj},
     booktitle = {Conference on Learning Theory},
     year = {2023},
   }

2022

1. 

   A Weighted Version of Erdős-Kac Theorem

   (α-β) Rizwanur Khan, Micah B. Milinovich, and Unique Subedi

   Journal of Number Theory, 2022

   Bib HTML

   @article{subedi2022erdoskac,
     title = {A Weighted Version of Erd{\H o}s-Kac Theorem},
     author = {Khan, Rizwanur and Milinovich, Micah B. and Subedi, Unique},
     journal = {Journal of Number Theory},
     year = {2022},
   }

2. 

   A Conjectural Asymptotic Formula for Multiplicative Chaos in Number Theory

   (α-β) Daksh Aggarwal, Unique Subedi, William Verreault, and 2 more authors

   Research in Number Theory, 2022

   Bib HTML

   @article{subedi2022chaos,
     title = {A Conjectural Asymptotic Formula for Multiplicative Chaos in Number Theory},
     author = {Aggarwal, Daksh and Subedi, Unique and Verreault, William and Zaman, Asif and Zheng, Chenghui},
     journal = {Research in Number Theory},
     year = {2022},
   }

3. 

   Sums of Random Multiplicative Functions over Function Fields with Few Irreducible Factors

   (α-β) Daksh Aggarwal, Unique Subedi, William Verreault, and 2 more authors

   Mathematical Proceedings of the Cambridge Philosophical Society, 2022

   Bib HTML

   @article{subedi2022functionfields,
     title = {Sums of Random Multiplicative Functions over Function Fields with Few Irreducible Factors},
     author = {Aggarwal, Daksh and Subedi, Unique and Verreault, William and Zaman, Asif and Zheng, Chenghui},
     journal = {Mathematical Proceedings of the Cambridge Philosophical Society},
     year = {2022},
   }

1. 

   Learning Theory in the AI for Science Era: From Classical Foundations to Operator Learning

   Unique Subedi

   University of Michigan, 2026

   PhD thesis

   Bib PDF

   @phdthesis{subedi2026phdthesis,
     title = {Learning Theory in the AI for Science Era: From Classical Foundations to Operator Learning},
     author = {Subedi, Unique},
     school = {University of Michigan},
     year = {2026},
     note = {PhD thesis},
   }

2. 

   A Weighted Version of Erdős-Kac Theorem

   Unique Subedi

   University of Mississippi, 2022

   Undergraduate thesis

   Bib PDF

   @thesis{subedi2022thesis,
     title = {A Weighted Version of Erd{\H o}s-Kac Theorem},
     author = {Subedi, Unique},
     school = {University of Mississippi},
     year = {2022},
     note = {Undergraduate thesis},
   }

1. 

   An Elementary Evaluation of ζ(2n) Using Dirichlet’s Kernel

   Unique Subedi and Micah B. Milinovich

   2022

   Technical Note

   Bib PDF

   @misc{subedi_dirichlet_zeta,
     title = {An Elementary Evaluation of {$\zeta(2n)$} Using Dirichlet's Kernel},
     author = {Subedi, Unique and Milinovich, Micah B.},
     year = {2022},
     note = {Technical Note},
   }

2. 

   On L_1-norm of Dirichlet’s Kernel

   Unique Subedi and Micah B. Milinovich

   2022

   Technical Note

   Bib PDF

   @misc{subedi_l1_dirichlet,
     title = {On {$L_1$}-norm of Dirichlet's Kernel},
     author = {Subedi, Unique and Milinovich, Micah B.},
     year = {2022},
     note = {Technical Note},
   }