Search Results for author: Ta Duy Nguyen

Found 6 papers, 2 papers with code

High Probability Convergence of Stochastic Gradient Methods

no code implementations28 Feb 2023 Zijian Liu, Ta Duy Nguyen, Thien Hang Nguyen, Alina Ene, Huy Lê Nguyen

Instead, we show high probability convergence with bounds depending on the initial distance to the optimal solution.

Vocal Bursts Intensity Prediction

META-STORM: Generalized Fully-Adaptive Variance Reduced SGD for Unbounded Functions

no code implementations29 Sep 2022 Zijian Liu, Ta Duy Nguyen, Thien Hang Nguyen, Alina Ene, Huy L. Nguyen

There, STORM utilizes recursive momentum to achieve the VR effect and is then later made fully adaptive in STORM+ [Levy et al., '21], where full-adaptivity removes the requirement for obtaining certain problem-specific parameters such as the smoothness of the objective and bounds on the variance and norm of the stochastic gradients in order to set the step size.

Stochastic Optimization

On the Convergence of AdaGrad(Norm) on $\R^{d}$: Beyond Convexity, Non-Asymptotic Rate and Acceleration

no code implementations29 Sep 2022 Zijian Liu, Ta Duy Nguyen, Alina Ene, Huy L. Nguyen

Finally, we give new accelerated adaptive algorithms and their convergence guarantee in the deterministic setting with explicit dependency on the problem parameters, improving upon the asymptotic rate shown in previous works.

Adaptive Accelerated (Extra-)Gradient Methods with Variance Reduction

no code implementations28 Jan 2022 Zijian Liu, Ta Duy Nguyen, Alina Ene, Huy L. Nguyen

To address this problem, we propose two novel adaptive VR algorithms: Adaptive Variance Reduced Accelerated Extra-Gradient (AdaVRAE) and Adaptive Variance Reduced Accelerated Gradient (AdaVRAG).

Fast Genetic Algorithms

2 code implementations9 Mar 2017 Benjamin Doerr, Huu Phuoc Le, Régis Makhmara, Ta Duy Nguyen

We prove that the $(1+1)$ EA with this heavy-tailed mutation rate optimizes any $\jump_{m, n}$ function in a time that is only a small polynomial (in~$m$) factor above the one stemming from the optimal rate for this $m$.

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