# Research ## Publications Download 9 citations download- [BibTeX](/bibcite/export?pager_style=no_pager&number_of_items=50&sort_field=bibcite_year--desc&taxonomy_filters=&&&format=bibtex) - [EndNote X3 XML](/bibcite/export?pager_style=no_pager&number_of_items=50&sort_field=bibcite_year--desc&taxonomy_filters=&&&format=endnote8) - [EndNote 7 XML](/bibcite/export?pager_style=no_pager&number_of_items=50&sort_field=bibcite_year--desc&taxonomy_filters=&&&format=endnote7) - [Endnote tagged](/bibcite/export?pager_style=no_pager&number_of_items=50&sort_field=bibcite_year--desc&taxonomy_filters=&&&format=tagged) - [Marc](/bibcite/export?pager_style=no_pager&number_of_items=50&sort_field=bibcite_year--desc&taxonomy_filters=&&&format=marc) - [PubMedId](/bibcite/export?pager_style=no_pager&number_of_items=50&sort_field=bibcite_year--desc&taxonomy_filters=&&&format=pubmed_id) - [RIS](/bibcite/export?pager_style=no_pager&number_of_items=50&sort_field=bibcite_year--desc&taxonomy_filters=&&&format=ris) ### 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](https://arxiv.org/abs/2605.05189). *​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](https://arxiv.org/abs/2605.05189). *​arXiv:2605.05189*. Barnfield, N., Burke, J. V., Friedlander, M. P., & Hoheisel, T. (2026). [A Scale-Shape Dual Newton Method for Entropic Least Squares](https://arxiv.org/abs/2604.27154). *​arXiv:2604.27154*. Barnfield, N., Burke, J. V., Friedlander, M. P., & Hoheisel, T. (2026). [A Scale-Shape Dual Newton Method for Entropic Least Squares](https://arxiv.org/abs/2604.27154). *​arXiv:2604.27154*. Barnfield, N., Sen, S., & Sur, P. (2026). [Multi-layer Cross-attention is Provably Optimal for Multi-modal In-context Learning](https://arxiv.org/abs/2602.04872). *​arXiv:2602.04872*. Barnfield, N., Sen, S., & Sur, P. (2026). [Multi-layer Cross-attention is Provably Optimal for Multi-modal In-context Learning](https://arxiv.org/abs/2602.04872). *​arXiv:2602.04872*. Barnfield, N., Cui, H., & Lu, Y. M. (2026). [High-Dimensional Analysis of Single-Layer Attention for Sparse-Token Classification](https://arxiv.org/abs/2509.25153). *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](https://arxiv.org/abs/2509.25153). *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](https://arxiv.org/abs/2312.02098). *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](https://arxiv.org/abs/2312.02098). *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](https://journals.aps.org/prb/abstract/10.1103/4d4b-kgtk). *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](https://journals.aps.org/prb/abstract/10.1103/4d4b-kgtk). *Physical Review B*, *112*(12), Article 125112. https://doi.org/10.1103/4d4b-kgtk - [ descriptionPublisher's Version](https://doi.org/10.1103/4d4b-kgtk) - [ descriptionPublisher's Version](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](https://iopscience.iop.org/article/10.1088/1751-8121/adf924). *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](https://iopscience.iop.org/article/10.1088/1751-8121/adf924). *Journal of Physics A: Mathematical and Theoretical*, *58*(33), Article 335203. https://doi.org/10.1088/1751-8121/adf924 - [ descriptionPublisher's Version](https://doi.org/10.1088/1751-8121/adf924) - [ descriptionPublisher's Version](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](https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/on-the-zivmerhav-theorem-beyond-markovianity-i/24BC689E60F8531C01A780744A81BE79). *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](https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/on-the-zivmerhav-theorem-beyond-markovianity-i/24BC689E60F8531C01A780744A81BE79). *Canadian Journal of Mathematics*, *77*(3), 891–915. https://doi.org/10.4153/S0008414X24000178 - [ descriptionPublisher's Version](https://doi.org/10.4153/S0008414X24000178) - [ descriptionPublisher's Version](https://doi.org/10.4153/S0008414X24000178) ### 2024 Barnfield, N., Grondin, R., Pozzoli, G., & Raquépas, R. (2024). [Ziv–Merhav estimation for hidden-Markov processes](https://arxiv.org/abs/2408.08809). *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](https://arxiv.org/abs/2408.08809). *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](https://www.siam.org/conferences-events/siam-conferences/op26/) Edinburgh, UK · June 2, 2026 ### 2024 **On the Ziv–Merhav theorem beyond Markovianity** [Séminaire Doctorant](https://lmb.univ-fcomte.fr/On-the-Ziv-Merhav-theorem-beyond) 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](http://www.mi.sanu.ac.rs/novi_sajt/research/conferences/Mini-workshop_entropies_for_complex_processes.pdf) 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](https://www2.cms.math.ca/Events/winter23/abs/rps), Winter Meeting of the Canadian Mathematical Society Montréal · December 2, 2023