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publications
Generalized smooth variational inequalities: Methods with adaptive stepsizes
Published in International Conference on Machine Learning (ICML) 2024, 2024
We introduce clipped first-order methods for solving non-monotone generalized smoothn variational inequalities, establishing the first convergence guarantees for gradient descent-ascent, extragarient, and optimistic methods that match or improve upon standard smooth rates. We also propose extragradient method with backtracking line-search that matches the same rates wihtout additional knoledge on the parameters.
Recommended citation: Vankov, Daniil, Angelia Nedich, and Lalitha Sankar. "Generalized smooth variational inequalities: Methods with adaptive stepsizes." In Forty-first International Conference on Machine Learning. 2024.
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Optimizing ($L_0, L_1$)-Smooth Functions by Gradient Methods
Published in ICLR 2025, 2025
Our analysis significantly improves the best-known complexity bounds of gradient method for convex optimization under generalized smoothness and establishes new best-known guarantees for accelerated gradient method.
Recommended citation: Vankov, Daniil, Anton Rodomanov, Angelia Nedich, Lalitha Sankar, and Sebastian U. Stich. "Optimizing ($L_0, L_1$)-Smooth Functions by Gradient Methods." In ICLR. 2025.
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Generalized Smooth Stochastic Variational Inequalities: Almost Sure Convergence and Convergence Rates
Published in Transactions on Machine Learning Research (accepted with J2C certification, top 10 % contribution), 2025
We show that clipped first-order methods converge a.s. and in expectation to a solution of stochastic variational inequalities without relying on standard smoothness or boundedness assumptions.
Recommended citation: Vankov, Daniil, Angelia Nedić, and Lalitha Sankar. "Generalized smooth stochastic variational inequalities: Almost sure convergence and convergence rates." Transactions on Machine Learning Research (2025).
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talks
Talk 1 on Relevant Topic in Your Field
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Conference Proceeding talk 3 on Relevant Topic in Your Field
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teaching
Teaching experience 1
Undergraduate course, University 1, Department, 2014
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Teaching experience 2
Workshop, University 1, Department, 2015
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