Ararat, Ç., Aygün, M., “Dual representations of quasiconvex compositions with applications to systemic risk,” to appear in SIAM Journal on Financial Mathematics (preprint available at www.arxiv.org/abs/2108.12910), 2026.

Ararat, Ç., Ma, J., “Path-regularity and martingale properties of set-valued stochastic integrals,” Probability, Uncertainty and Quantitative Risk 10(4): 471-512, 2025.

Nika, A., Elahi, S., Ararat, Ç., Tekin, C., “Beyond grids: multi-objective Bayesian optimization with adaptive discretization,” Transactions on Machine Learning Research 08/2025: 1-43, 2025.

Ararat, Ç., Feinstein, Z. “Short communication: on the separability of vector-valued risk measures,” SIAM Journal on Financial Mathematics 15(4): SC68-SC79, 2024.

Ararat, Ç., Ulus, F., Umer, M., “Convergence analysis of a norm minimization-based convex vector optimization algorithm,” SIAM Journal on Optimization 34(3): 2700-2728, 2024.

Karagözlü, E. M., Yıldırım, Y. C., Ararat, Ç., Tekin, C., “Learning the Pareto set under incomplete preferences: pure exploration in vector bandits,” Proceedings of The 27th International Conference on Artificial Intelligence and Statistics PMLR 238: 3070-3078, 2024.

Ararat, Ç., Cesarone, F., Pınar, M. Ç., Ricci, J. M., “MAD risk parity portfolios,” Annals of Operations Research 336(1-2), 899-924, 2024.

Ararat, Ç., Meimanjan, N., “Computation of systemic risk measures: a mixed-integer programming approach,” Operations Research 71(6): 2130-2145, 2023.

Ararat, Ç., Ma, J., Wu, W., “Set-valued backward stochastic differential equations,” Annals of Applied Probability 33(5): 3418-3448, 2023.

Ararat, Ç., Cetin, U., “Random sets and Choquet-type representations,” Numerical Algebra, Control and Optimization 13(3-4): 681-713, 2023. In honor of Jin Ma on the occasion of his 65th birthday.

Ararat, Ç., Tekin, C., “Vector optimization with stochastic bandit feedback,” Proceedings of The 26th International Conference on Artificial Intelligence and Statistics PMLR 206: 2165-2190, 2023.

Ararat, Ç., Tekgül, S., Ulus, F., “Geometric duality results and approximation algorithms for convex vector optimization problems,” SIAM Journal on Optimization 33(1): 116-146, 2023.

Ararat, Ç., Ulus, F., Umer, M., “A norm minimization-based convex vector optimization algorithm,” Journal of Optimization Theory and Applications 194(2): 681-712, 2022.

Ozyoruk, E., Erkip, N. K., Ararat, Ç., “End-of-life inventory management problem: results and insights,” International Journal of Production Economics 243: 108313 (24 pages), 2022.

Ararat, Ç., “Portfolio optimization with two quasiconvex risk measures,” Turkish Journal of Mathematics 45(2): 695-717, 2021.

Ararat, Ç., Feinstein, Z., “Set-valued risk measures as backward stochastic difference inclusions and equations,” Finance and Stochastics 25(1): 43-76, 2021.

Aktürk, T. D., Ararat, Ç., “Portfolio optimization with two coherent risk measures,” Journal of Global Optimization 78(3): 597-626, 2020.

Ararat, Ç., Hamel, A. H., “Lower cone distribution functions and set-valued quantiles form Galois connections,” Theory of Probability and Its Applications 65(2): 179-190, 2020. In honor of Yuri Kabanov on the occasion of his 70th birthday.

• Russian translation published in Teoriya Veroyatnostei i ee Primeneniya: Арарат, Ч., Гамель, А. Г., “О формировании связи Галуа ассоциированными с конусами нижними функциями распределения и множественнозначными квантилями,” Теория вероятностей и ее применения 65(2): 221-236, 2020.

Ararat, Ç., Rudloff, B., “Dual representations for systemic risk measures,” Mathematics and Financial Economics 14(1): 139-174, 2020.

Ararat, Ç., Hamel, A. H., Rudloff, B., “Set-valued shortfall and divergence risk measures,” International Journal of Theoretical and Applied Finance 20(5): 1750026 (48 pages), 2017.

Ararat, Ç., Rudloff, B., “A characterization theorem for Aumann integrals,” Set-Valued and Variational Analysis 23(2): 305-318, 2015.

Almuzaini, A., Ararat, Ç., Ma, J. “Superhedging under proportional transaction costs in continuous time,” submitted for publication (preprint available at www.arxiv.org/abs/2511.18169), 2025.

Ararat, Ç., Feinstein, Z. “Can Nash inform capital requirements? Allocating systemic risk measures,” submitted for publication (preprint available at www.arxiv.org/abs/2504.20413), 2025.

Yıldırım, Y. C., Karagözlü, E. M., Korkmaz, İ. O., Ararat, Ç., Tekin, C., “VOPy: a framework for black-box vector optimization,” submitted for publication (preprint available at www.arxiv.org/abs/2412.06604), 2024.

• Github repository: https://github.com/Bilkent-CYBORG/VOPy 

Korkmaz, İ. O., Yıldırım, Y. C., Ararat, Ç., Tekin, C., “Vector optimization with Gaussian process bandits,” submitted for publication (preprint available at www.arxiv.org/abs/2412.02484), 2024.

AlAli, W., Ararat, Ç., “Systemic values-at-risk and their sample-average approximations,” submitted for publication (preprint available at www.arxiv.org/abs/2408.08511), 2024.

Ararat, Ç., “Set-valued convex compositions,” submitted for publication (preprint available at www.arxiv.org/abs/2306.15906), 2023.

Ararat, Ç., Bilir, B., Mastrogiacomo, E., “Decomposable sums and their implications on naturally quasiconvex risk measures,” submitted for publication (preprint available at www.arxiv.org/abs/2201.05686), 2022.

Ararat, Ç., Gürler, Ü., Ildız, M. E., “Constructive covers of a finite set,” submitted for publication (preprint available at www.arxiv.org/abs/2007.01086), 2020.

Ararat, Ç., Çavuş., Ö., Mahmutoğulları, A. İ., “Multi-objective risk-averse two-stage stochastic programming problems,” submitted for publication (preprint available at www.arxiv.org/abs/1711.06403), 2017.