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Stochastic gradient descent is one of the most successful approaches for solving large-scale problems, especially in machine learning and statistics. At each iteration, it employs an unbiased estimator of the full gradient computed from one…

Numerical Analysis · Mathematics 2018-12-05 Bangti Jin , Xiliang Lu

Bayesian optimization is an approach to optimizing objective functions that take a long time (minutes or hours) to evaluate. It is best-suited for optimization over continuous domains of less than 20 dimensions, and tolerates stochastic…

Machine Learning · Statistics 2018-07-10 Peter I. Frazier

Parameter tuning for vehicle controllers remains a costly and time-intensive challenge in automotive development. Traditional approaches rely on extensive real-world testing, making the process inefficient. We propose a multi-fidelity…

Systems and Control · Electrical Eng. & Systems 2025-06-11 Yongpeng Zhao , Maik Pfefferkorn , Maximilian Templer , Rolf Findeisen

We consider the problem of sequentially making decisions that are rewarded by "successes" and "failures" which can be predicted through an unknown relationship that depends on a partially controllable vector of attributes for each instance.…

Machine Learning · Statistics 2017-09-18 Yingfei Wang , Chu Wang , Warren Powell

Stochastic optimization problems often involve data distributions that change in reaction to the decision variables. This is the case for example when members of the population respond to a deployed classifier by manipulating their features…

Optimization and Control · Mathematics 2020-12-15 Dmitriy Drusvyatskiy , Lin Xiao

We prove that stochastic gradient descent efficiently converges to the global optimizer of the maximum likelihood objective of an unknown linear time-invariant dynamical system from a sequence of noisy observations generated by the system.…

Machine Learning · Computer Science 2019-02-12 Moritz Hardt , Tengyu Ma , Benjamin Recht

Explosive growth in data and availability of cheap computing resources have sparked increasing interest in Big learning, an emerging subfield that studies scalable machine learning algorithms, systems, and applications with Big Data.…

Machine Learning · Computer Science 2017-03-02 Jun Zhu , Jianfei Chen , Wenbo Hu , Bo Zhang

A crucial task in system identification problems is the selection of the most appropriate model class, and is classically addressed resorting to cross-validation or using asymptotic arguments. As recently suggested in the literature, this…

Numerical Analysis · Mathematics 2015-06-09 Silvia Bonettini , Alessandro Chiuso , Marco Prato

We consider chance-constrained problems with discrete random distribution. We aim for problems with a large number of scenarios. We propose a novel method based on the stochastic gradient descent method which performs updates of the…

Optimization and Control · Mathematics 2019-05-28 Lukáš Adam , Martin Branda

Robotic algorithms typically depend on various parameters, the choice of which significantly affects the robot's performance. While an initial guess for the parameters may be obtained from dynamic models of the robot, parameters are usually…

Robotics · Computer Science 2020-04-08 Felix Berkenkamp , Andreas Krause , Angela P. Schoellig

In outdoor environments, mobile robots are required to navigate through terrain with varying characteristics, some of which might significantly affect the integrity of the platform. Ideally, the robot should be able to identify areas that…

Robotics · Computer Science 2018-02-20 Rafael Oliveira , Lionel Ott , Vitor Guizilini , Fabio Ramos

We consider two questions at the heart of machine learning; how can we predict if a minimum will generalize to the test set, and why does stochastic gradient descent find minima that generalize well? Our work responds to Zhang et al.…

Machine Learning · Computer Science 2018-02-16 Samuel L. Smith , Quoc V. Le

We develop a probabilistic machine learning method, which formulates a class of stochastic neural networks by a stochastic optimal control problem. An efficient stochastic gradient descent algorithm is introduced under the stochastic…

Machine Learning · Computer Science 2021-04-06 Richard Archibald , Feng Bao , Yanzhao Cao , He Zhang

Supply chain disruptions and volatile demand pose significant challenges to the UK automotive industry, which relies heavily on Just-In-Time (JIT) manufacturing. While qualitative studies highlight the potential of integrating Artificial…

Machine Learning · Statistics 2025-11-11 Muhammad Shahnawaz , Adeel Safder

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…

Machine Learning · Computer Science 2022-09-23 Xin Cao

In spite of the accomplishments of deep learning based algorithms in numerous applications and very broad corresponding research interest, at the moment there is still no rigorous understanding of the reasons why such algorithms produce…

Statistics Theory · Mathematics 2020-03-04 Arnulf Jentzen , Timo Welti

With the increase of machine learning usage by industries and scientific communities in a variety of tasks such as text mining, image recognition and self-driving cars, automatic setting of hyper-parameter in learning algorithms is a key…

Artificial Intelligence · Computer Science 2018-05-15 Juan Cruz Barsce , Jorge A. Palombarini , Ernesto C. Martínez

Gathering labeled data to train well-performing machine learning models is one of the critical challenges in many applications. Active learning aims at reducing the labeling costs by an efficient and effective allocation of costly labeling…

Machine Learning · Computer Science 2020-06-03 Daniel Kottke , Marek Herde , Christoph Sandrock , Denis Huseljic , Georg Krempl , Bernhard Sick

Stochastic gradient descent (SGD) is a powerful optimization technique that is particularly useful in online learning scenarios. Its convergence analysis is relatively well understood under the assumption that the data samples are…

Machine Learning · Computer Science 2024-10-03 Ethan Che , Jing Dong , Xin T. Tong

We address the problem of automatically finding the parameters of a statistical machine translation system that maximize BLEU scores while ensuring that decoding speed exceeds a minimum value. We propose the use of Bayesian Optimization to…

Computation and Language · Computer Science 2016-04-19 Daniel Beck , Adrià de Gispert , Gonzalo Iglesias , Aurelien Waite , Bill Byrne