Research
Publications
2026
Barnfield, N., Kim, J., Nichani, E., Lee, J. D., & Lu, Y. M. (2026). Sharp Capacity Thresholds in Linear Associative Memory: From Top-1 Retrieval to Tail-Average Learning. arXiv:2605.05189.
Barnfield, N., Kim, J., Nichani, E., Lee, J. D., & Lu, Y. M. (2026). Sharp Capacity Thresholds in Linear Associative Memory: From Top-1 Retrieval to Tail-Average Learning. arXiv:2605.05189.
Barnfield, N., Burke, J. V., Friedlander, M. P., & Hoheisel, T. (2026). A Scale-Shape Dual Newton Method for Entropic Least Squares. arXiv:2604.27154.
Barnfield, N., Burke, J. V., Friedlander, M. P., & Hoheisel, T. (2026). A Scale-Shape Dual Newton Method for Entropic Least Squares. arXiv:2604.27154.
Barnfield, N., Sen, S., & Sur, P. (2026). Multi-layer Cross-attention is Provably Optimal for Multi-modal In-context Learning. arXiv:2602.04872.
Barnfield, N., Sen, S., & Sur, P. (2026). Multi-layer Cross-attention is Provably Optimal for Multi-modal In-context Learning. arXiv:2602.04872.
Barnfield, N., Cui, H., & Lu, Y. M. (2026). High-Dimensional Analysis of Single-Layer Attention for Sparse-Token Classification. International Conference on Learning Representations (ICLR).
Barnfield, N., Cui, H., & Lu, Y. M. (2026). High-Dimensional Analysis of Single-Layer Attention for Sparse-Token Classification. International Conference on Learning Representations (ICLR).
Barnfield, N., Grondin, R., Pozzoli, G., & Raquépas, R. (2026). On the Ziv–Merhav theorem beyond Markovianity II: Leveraging the thermodynamic formalism. Annals of Applied Probability (to appear).
Barnfield, N., Grondin, R., Pozzoli, G., & Raquépas, R. (2026). On the Ziv–Merhav theorem beyond Markovianity II: Leveraging the thermodynamic formalism. Annals of Applied Probability (to appear).
2025
Chuna, T., Barnfield, N., Vorberger, J., Friedlander, M. P., Hoheisel, T., & Dornheim, T. (2025). Estimates of the dynamic structure factor for the finite temperature electron liquid via analytic continuation of path integral Monte Carlo data. Physical Review B, 112(12), Article 125112. https://doi.org/10.1103/4d4b-kgtk
Chuna, T., Barnfield, N., Vorberger, J., Friedlander, M. P., Hoheisel, T., & Dornheim, T. (2025). Estimates of the dynamic structure factor for the finite temperature electron liquid via analytic continuation of path integral Monte Carlo data. Physical Review B, 112(12), Article 125112. https://doi.org/10.1103/4d4b-kgtk
Chuna, T., Barnfield, N., Dornheim, T., Friedlander, M. P., & Hoheisel, T. (2025). Dual formulation of the maximum entropy method applied to analytic continuation of quantum Monte Carlo data. Journal of Physics A: Mathematical and Theoretical, 58(33), Article 335203. https://doi.org/10.1088/1751-8121/adf924
Chuna, T., Barnfield, N., Dornheim, T., Friedlander, M. P., & Hoheisel, T. (2025). Dual formulation of the maximum entropy method applied to analytic continuation of quantum Monte Carlo data. Journal of Physics A: Mathematical and Theoretical, 58(33), Article 335203. https://doi.org/10.1088/1751-8121/adf924
Barnfield, N., Grondin, R., Pozzoli, G., & Raquépas, R. (2025). On the Ziv–Merhav theorem beyond Markovianity I. Canadian Journal of Mathematics, 77(3), 891–915. https://doi.org/10.4153/S0008414X24000178
Barnfield, N., Grondin, R., Pozzoli, G., & Raquépas, R. (2025). On the Ziv–Merhav theorem beyond Markovianity I. Canadian Journal of Mathematics, 77(3), 891–915. https://doi.org/10.4153/S0008414X24000178
2024
Barnfield, N., Grondin, R., Pozzoli, G., & Raquépas, R. (2024). Ziv–Merhav estimation for hidden-Markov processes. 2024 IEEE International Symposium on Information Theory (ISIT), 3606–3611. https://doi.org/10.1109/ISIT57864.2024.10619304
Barnfield, N., Grondin, R., Pozzoli, G., & Raquépas, R. (2024). Ziv–Merhav estimation for hidden-Markov processes. 2024 IEEE International Symposium on Information Theory (ISIT), 3606–3611. https://doi.org/10.1109/ISIT57864.2024.10619304
Talks
2026
A Self-Scaling Dual Method for Entropy-Regularized Least Squares
Convex and Nonconvex Nonsmooth Optimization and Applications, SIAM Conference on Optimization
Edinburgh, UK · June 2, 2026
2024
On the Ziv–Merhav theorem beyond Markovianity
Séminaire Doctorant
Laboratoire de Mathématiques de Besançon, Besançon, France · January 15, 2024
Entropic estimators in information theory
The Seminars on Undergraduate Mathematics in Montreal
Université du Québec à Montréal (UQÀM), Montréal · January 6, 2024
2023
Return times and waiting times as entropy estimators III: Ziv–Merhav Estimator
Mini-workshop on Entropies for Complex Processes
Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade · December 9, 2023
On the Ziv–Merhav theorem beyond Markovianity
Recent Progress in Statistical Mechanics, Winter Meeting of the Canadian Mathematical Society
Montréal · December 2, 2023