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Hyperparameter optimization (HPO) is a core problem for the machine learning community and remains largely unsolved due to the significant computational resources required to evaluate hyperparameter configurations. As a result, a series of…

机器学习 · 计算机科学 2021-10-12 Sebastian Pineda Arango , Hadi S. Jomaa , Martin Wistuba , Josif Grabocka

Piecewise constant denoising can be solved either by deterministic optimization approaches, based on the Potts model, or by stochastic Bayesian procedures. The former lead to low computational time but require the selection of a…

机器学习 · 计算机科学 2017-10-11 Jordan Frecon , Nelly Pustelnik , Nicolas Dobigeon , Herwig Wendt , Patrice Abry

Regularization techniques are necessary to compute meaningful solutions to discrete ill-posed inverse problems. The well-known 2-norm Tikhonov regularization method equipped with a discretization of the gradient operator as regularization…

数值分析 · 数学 2024-06-05 Silvia Gazzola , Ali Gholami

Hyperparameter optimization (HPO) is a vital step in improving performance in deep learning (DL). Practitioners are often faced with the trade-off between multiple criteria, such as accuracy and latency. Given the high computational needs…

机器学习 · 计算机科学 2023-06-01 Shuhei Watanabe , Noor Awad , Masaki Onishi , Frank Hutter

We propose smoothed primal-dual algorithms for solving stochastic and smooth nonconvex optimization problems with linear inequality constraints. Our algorithms are single-loop and only require a single stochastic gradient based on one…

最优化与控制 · 数学 2025-04-11 Ruichuan Huang , Jiawei Zhang , Ahmet Alacaoglu

This paper introduces a high-performance hybrid algorithm, called Hybrid Hypervolume Maximization Algorithm (H2MA), for multi-objective optimization that alternates between exploring the decision space and exploiting the already obtained…

神经与进化计算 · 计算机科学 2015-06-18 Conrado Silva Miranda , Fernando José Von Zuben

In this paper, we address the problem of cost-sensitive multi-fidelity Bayesian Optimization (BO) for efficient hyperparameter optimization (HPO). Specifically, we assume a scenario where users want to early-stop the BO when the performance…

机器学习 · 计算机科学 2024-05-29 Dong Bok Lee , Aoxuan Silvia Zhang , Byungjoo Kim , Junhyeon Park , Juho Lee , Sung Ju Hwang , Hae Beom Lee

We present HIghly Parallelisable Pareto Optimisation (HIPPO) -- a batch acquisition function that enables multi-objective Bayesian optimisation methods to efficiently exploit parallel processing resources. Multi-Objective Bayesian…

机器学习 · 计算机科学 2022-06-28 Andrei Paleyes , Henry B. Moss , Victor Picheny , Piotr Zulawski , Felix Newman

The balance between convergence and diversity is a key issue of evolutionary multi-objective optimization. The recently proposed stable matching-based selection provides a new perspective to handle this balance under the framework of…

神经与进化计算 · 计算机科学 2017-01-26 Mengyuan Wu , Ke Li , Sam Kwong , Yu Zhou , Qingfu Zhang

The performance of modern reinforcement learning algorithms critically relies on tuning ever-increasing numbers of hyperparameters. Often, small changes in a hyperparameter can lead to drastic changes in performance, and different…

机器学习 · 计算机科学 2025-02-05 Jacob Adkins , Michael Bowling , Adam White

In (Franceschi et al., 2018) we proposed a unified mathematical framework, grounded on bilevel programming, that encompasses gradient-based hyperparameter optimization and meta-learning. We formulated an approximate version of the problem…

数学软件 · 计算机科学 2018-06-15 Luca Franceschi , Riccardo Grazzi , Massimiliano Pontil , Saverio Salzo , Paolo Frasconi

For a general entropy-regularized stochastic control problem on an infinite horizon, we prove that a policy iteration algorithm (PIA) converges to an optimal relaxed control. Contrary to the standard stochastic control literature, classical…

最优化与控制 · 数学 2026-05-14 Yu-Jui Huang , Zhenhua Wang , Zhou Zhou

In spite of its overall efficiency and robustness for capturing the interface in multiphase fluid dynamics simulations, the well-known shortcoming of the level-set method is associated with the lack of a systematic approach for preserving…

流体动力学 · 物理学 2023-09-22 A. Hashemi , M. R. Hashemi , P. Ryzhakov , R. Rossi

Bilevel optimization has been widely applied in many important machine learning applications such as hyperparameter optimization and meta-learning. Recently, several momentum-based algorithms have been proposed to solve bilevel optimization…

机器学习 · 计算机科学 2021-12-17 Junjie Yang , Kaiyi Ji , Yingbin Liang

Recent alignment methods based on Direct Preference Optimization (DPO) reformulate preference learning as supervised optimization over pairwise comparisons, offering improved efficiency and stability over reinforcement learning from human…

机器学习 · 计算机科学 2026-01-22 Yuhui Sun , Xiyao Wang , Zixi Li , YiTian Ding , Tianyang Ling , Jialuo Chen , Tianyi Yu , Zhenlong Yuan , Jinman Zhao

Informed and robust decision making in the face of uncertainty is critical for robots that perform physical tasks alongside people. We formulate this as Bayesian Reinforcement Learning over latent Markov Decision Processes (MDPs). While…

机器人学 · 计算机科学 2020-02-11 Gilwoo Lee , Brian Hou , Sanjiban Choudhury , Siddhartha S. Srinivasa

Much recent research has been conducted in the area of Bayesian learning, particularly with regard to the optimization of hyper-parameters via Gaussian process regression. The methodologies rely chiefly on the method of maximizing the…

机器学习 · 统计学 2014-05-13 James Brofos

In this work, we introduce a novel abstract framework for the stability and convergence analysis of fully coupled discretisations of the poroelasticity problem and apply it to the analysis of Hybrid High-Order (HHO) schemes. A relevant…

数值分析 · 数学 2019-12-10 Lorenzo Botti , Michele Botti , Daniele A. Di Pietro

Hyperparameter optimization (HPO) is crucial for fine-tuning machine learning models but can be computationally expensive. To reduce costs, Multi-fidelity HPO (MF-HPO) leverages intermediate accuracy levels in the learning process and…

机器学习 · 计算机科学 2023-09-27 Romain Egele , Isabelle Guyon , Yixuan Sun , Prasanna Balaprakash

Deep learning techniques play an increasingly important role in industrial and research environments due to their outstanding results. However, the large number of hyper-parameters to be set may lead to errors if they are set manually. The…

机器学习 · 计算机科学 2020-06-04 Michele Fraccaroli , Evelina Lamma , Fabrizio Riguzzi