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A multi-fidelity (MF) active learning method is presented for design optimization problems characterized by noisy evaluations of the performance metrics. Namely, a generalized MF surrogate model is used for design-space exploration,…

The complexity in large-scale optimization can lie in both handling the objective function and handling the constraint set. In this respect, stochastic Frank-Wolfe algorithms occupy a unique position as they alleviate both computational…

最优化与控制 · 数学 2021-02-16 Cyrille W. Combettes , Christoph Spiegel , Sebastian Pokutta

In this work, we explore combining automatic hyperparameter tuning and optimization for federated learning (FL) in an online, one-shot procedure. We apply a principled approach on a method for adaptive client learning rate, number of local…

机器学习 · 计算机科学 2022-11-07 Andrew K Kan

In this paper, we consider the composite optimization problem, where the objective function integrates a continuously differentiable loss function with a nonsmooth regularization term. Moreover, only the function values for the…

最优化与控制 · 数学 2024-01-09 Shanglin Liu , Lei Wang , Nachuan Xiao , Xin Liu

A new gradient-based optimization approach by automatically scheduling the learning rate has been proposed recently, which is called Binary Forward Exploration (BFE). The Adaptive version of BFE has also been discussed thereafter. In this…

机器学习 · 计算机科学 2022-09-23 Xin Cao

Several machine learning applications involve the optimization of higher-order derivatives (e.g., gradients of gradients) during training, which can be expensive in respect to memory and computation even with automatic differentiation. As a…

机器学习 · 计算机科学 2020-11-26 Tianyu Pang , Kun Xu , Chongxuan Li , Yang Song , Stefano Ermon , Jun Zhu

Bayesian optimization (BO) has demonstrated potential for optimizing control performance in data-limited settings, especially for systems with unknown dynamics or unmodeled performance objectives. The BO algorithm efficiently trades-off…

机器学习 · 计算机科学 2022-11-02 Ankush Chakrabarty

We demonstrate the adaption of three established methods to the field of surrogate machine learning model development. These methods are data augmentation, custom loss functions and transfer learning. Each of these methods have seen…

机器学习 · 计算机科学 2022-11-04 H. Rhys Jones , Tingting Mu , Andrei C. Popescu , Yusuf Sulehman

We introduce Direct Value Optimization (DVO), an innovative reinforcement learning framework for enhancing large language models in complex reasoning tasks. Unlike traditional methods relying on preference labels, DVO utilizes value signals…

计算与语言 · 计算机科学 2025-02-20 Hongbo Zhang , Han Cui , Guangsheng Bao , Linyi Yang , Jun Wang , Yue Zhang

Decentralized solutions to finite-sum minimization are of significant importance in many signal processing, control, and machine learning applications. In such settings, the data is distributed over a network of arbitrarily-connected nodes…

机器学习 · 计算机科学 2019-11-14 Ran Xin , Soummya Kar , Usman A. Khan

Generating simulated training data needed for constructing sufficiently accurate surrogate models to be used for efficient optimization or parameter identification can incur a huge computational effort in the offline phase. We consider a…

数值分析 · 数学 2024-04-03 Phillip Semler , Martin Weiser

We study reinforcement learning in hybrid discrete-continuous action spaces, such as settings where the discrete component selects a regime (or index) and the continuous component optimizes within it -- a structure common in robotics,…

机器学习 · 计算机科学 2026-05-15 Matias Alvo , Daniel Russo , Yash Kanoria

We present a novel active learning algorithm, termed as iterative surrogate model optimization (ISMO), for robust and efficient numerical approximation of PDE constrained optimization problems. This algorithm is based on deep neural…

最优化与控制 · 数学 2020-12-30 Kjetil O. Lye , Siddhartha Mishra , Deep Ray , Praveen Chandrasekhar

The success of deep learning over the past decade mainly relies on gradient-based optimisation and backpropagation. This paper focuses on analysing the performance of first-order gradient-based optimisation algorithms, gradient descent and…

最优化与控制 · 数学 2022-12-08 Behnam Mafakheri , Iman Shames , Jonathan H. Manton

Gradient methods are widely used in optimization problems. In practice, while the smoothness parameter can be estimated utilizing techniques such as backtracking, estimating the strong convexity parameter remains a challenge; moreover, even…

最优化与控制 · 数学 2026-02-17 Xiaozhe Hu , Sara Pollock , Zhongqin Xue , Yunrong Zhu

We present an approach for constructing a surrogate from ensembles of information sources of varying cost and accuracy. The multifidelity surrogate encodes connections between information sources as a directed acyclic graph, and is trained…

机器学习 · 计算机科学 2021-08-25 Alex Gorodetsky , John D. Jakeman , Gianluca Geraci

Hyperparameter optimization is the process of identifying the appropriate hyperparameter configuration of a given machine learning model with regard to a given learning task. For smaller data sets, an exhaustive search is possible; However,…

机器学习 · 计算机科学 2022-09-30 Blaž Škrlj , Adi Schwartz , Jure Ferlež , Davorin Kopič , Naama Ziporin

Deep learning has proven to be effective in a wide variety of loss minimization problems. However, many applications of interest, like minimizing projected Bellman error and min-max optimization, cannot be modelled as minimizing a scalar…

机器学习 · 计算机科学 2025-05-27 Ryan D'Orazio , Danilo Vucetic , Zichu Liu , Junhyung Lyle Kim , Ioannis Mitliagkas , Gauthier Gidel

Multifidelity surrogate modelling combines data of varying accuracy and cost from different sources. It strategically uses low-fidelity models for rapid evaluations, saving computational resources, and high-fidelity models for detailed…

机器学习 · 计算机科学 2024-04-24 Daniel N Wilke

DPO (Direct Preference Optimization) has become a widely used offline preference optimization algorithm due to its simplicity and training stability. However, DPO is prone to overfitting and collapse. To address these challenges, we propose…

机器学习 · 计算机科学 2025-08-26 Rui Wang , Qianguo Sun , Chao Song , Junlong Wu , Tianrong Chen , Zhiyun Zeng , Yu Li