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Conditional stochastic optimization has found applications in a wide range of machine learning tasks, such as invariant learning, AUPRC maximization, and meta-learning. As the demand for training models with large-scale distributed data…

Machine Learning · Computer Science 2023-10-05 Xidong Wu , Jianhui Sun , Zhengmian Hu , Junyi Li , Aidong Zhang , Heng Huang

Second-order optimization methods are among the most widely used optimization approaches for convex optimization problems, and have recently been used to optimize non-convex optimization problems such as deep learning models. The widely…

Optimization and Control · Mathematics 2022-02-01 Dinesh Singh , Hardik Tankaria , Makoto Yamada

The spectral gradient method is known to be a powerful low-cost tool for solving large-scale optimization problems. In this paper, our goal is to exploit its advantages in the stochastic optimization framework, especially in the case of…

Optimization and Control · Mathematics 2024-10-10 Stefania Bellavia , Nataša Krejić , Nataša Krklec Jerinkić , Marcos Raydan

We study the problem of minimizing a strongly convex, smooth function when we have noisy estimates of its gradient. We propose a novel multistage accelerated algorithm that is universally optimal in the sense that it achieves the optimal…

Optimization and Control · Mathematics 2019-10-29 Necdet Serhat Aybat , Alireza Fallah , Mert Gurbuzbalaban , Asuman Ozdaglar

We present a quasi-Newton method for unconstrained stochastic optimization. Most existing literature on this topic assumes a setting of stochastic optimization in which a finite sum of component functions is a reasonable approximation of an…

Optimization and Control · Mathematics 2024-09-04 Matt Menickelly , Stefan M. Wild , Miaolan Xie

In this paper, we consider the problem of stochastic optimization, where the objective function is in terms of the expectation of a (possibly non-convex) cost function that is parametrized by a random variable. While the convergence speed…

Information Theory · Computer Science 2019-10-23 Naeimeh Omidvar , An Liu , Vincent Lau , Danny H. K. Tsang , Mohammad Reza Pakravan

This work presents PESMOC, Predictive Entropy Search for Multi-objective Bayesian Optimization with Constraints, an information-based strategy for the simultaneous optimization of multiple expensive-to-evaluate black-box functions under the…

Machine Learning · Statistics 2021-04-15 Eduardo C. Garrido-Merchán , Daniel Hernández-Lobato

We introduce MESSY estimation, a Maximum-Entropy based Stochastic and Symbolic densitY estimation method. The proposed approach recovers probability density functions symbolically from samples using moments of a Gradient flow in which the…

Machine Learning · Computer Science 2024-02-13 Tony Tohme , Mohsen Sadr , Kamal Youcef-Toumi , Nicolas G. Hadjiconstantinou

In Monte Carlo simulations of lattice field theory with a $\theta$ term, one confronts the complex weight problem, or the sign problem. This is circumvented by performing the Fourier transform of the topological charge distribution $P(Q)$.…

High Energy Physics - Lattice · Physics 2017-02-01 Masahiro Imachi , Yasuhiko Shinno , Hiroshi Yoneyama

Consider a network of $N$ decentralized computing agents collaboratively solving a nonconvex stochastic composite problem. In this work, we propose a single-loop algorithm, called DEEPSTORM, that achieves optimal sample complexity for this…

Optimization and Control · Mathematics 2023-04-14 Gabriel Mancino-Ball , Shengnan Miao , Yangyang Xu , Jie Chen

Process variations are a major concern in today's chip design since they can significantly degrade chip performance. To predict such degradation, existing circuit and MEMS simulators rely on Monte Carlo algorithms, which are typically too…

Computational Engineering, Finance, and Science · Computer Science 2016-11-18 Zheng Zhang , Xiu Yang , Giovanni Marucci , Paolo Maffezzoni , Ibrahim , M. Elfadel , George Em Karniadakis , Luca Daniel

Nonuniform subsampling methods are effective to reduce computational burden and maintain estimation efficiency for massive data. Existing methods mostly focus on subsampling with replacement due to its high computational efficiency. If the…

Methodology · Statistics 2021-07-06 Jun Yu , HaiYing Wang , Mingyao Ai , Huiming Zhang

Analytic continuation is an essential step in extracting information about the dynamical properties of physical systems from quantum Monte Carlo (QMC) simulations. Different methods for analytic continuation have been proposed and are still…

Computational Physics · Physics 2023-02-21 Khaldoon Ghanem , Erik Koch

Reliability-based design optimization (RBDO) provides a rational and sound framework for finding the optimal design while taking uncertainties into ac-count. The main issue in implementing RBDO methods, particularly stochastic simu-lation…

Applications · Statistics 2020-03-03 Wang-Sheng Liu , Sai Hung Cheung

In this paper, we present a cross-entropy optimization method for hyperparameter optimization in stochastic gradient-based approaches to train deep neural networks. The value of a hyperparameter of a learning algorithm often has great…

Machine Learning · Computer Science 2024-09-17 Kevin Li , Fulu Li

For optimization on large-scale data, exactly calculating its solution may be computationally difficulty because of the large size of the data. In this paper we consider subsampled optimization for fast approximating the exact solution. In…

Machine Learning · Statistics 2018-04-11 Rong Zhu , Jiming Jiang

We propose an algorithm for optimizations in which the gradients contain stochastic noise. This arises, for example, in structural optimizations when computations of forces and stresses rely on methods involving Monte Carlo sampling, such…

Materials Science · Physics 2022-11-30 Siyuan Chen , Shiwei Zhang

Multi-time-scale stochastic approximation is an iterative algorithm for finding the fixed point of a set of $N$ coupled operators given their noisy samples. It has been observed that due to the coupling between the decision variables and…

Optimization and Control · Mathematics 2024-09-13 Sihan Zeng , Thinh T. Doan

In this work we present a new method of black-box optimization and constraint satisfaction. Existing algorithms that have attempted to solve this problem are unable to consider multiple modes, and are not able to adapt to changes in…

Machine Learning · Computer Science 2020-02-19 Kourosh Hakhamaneshi , Keertana Settaluri , Pieter Abbeel , Vladimir Stojanovic

Frequent Subgraph Mining (FSM) is the process of identifying common subgraph patterns that surpass a predefined frequency threshold. While FSM is widely applicable in fields like bioinformatics, chemical analysis, and social network anomaly…

Databases · Computer Science 2024-04-03 Akshit Sharma , Sam Reinher , Dinesh Mehta , Bo Wu