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Continual fine-tuning of Large Language Models (LLMs) is hampered by the trade-off between efficiency and expressiveness. Low-Rank Adaptation (LoRA) offers efficiency but constrains the model's ability to learn new tasks and transfer…

Machine Learning · Computer Science 2025-07-08 Chenxu Wang , Yilin Lyu , Zicheng Sun , Liping Jing

This paper presents a novel natural gradient and Hessian-free (NGHF) optimisation framework for neural network training that can operate efficiently in a distributed manner. It relies on the linear conjugate gradient (CG) algorithm to…

Machine Learning · Computer Science 2021-03-16 Adnan Haider , Chao Zhang , Florian L. Kreyssig , Philip C. Woodland

We propose a scheme for global optimization with first-principles energy expressions (GOFEE) of atomistic structure. While unfolding its search, the method actively learns a surrogate model of the potential energy landscape on which it…

Chemical Physics · Physics 2020-03-04 Malthe K. Bisbo , Bjørk Hammer

Learning multiple tasks sequentially without forgetting previous knowledge, called Continual Learning(CL), remains a long-standing challenge for neural networks. Most existing methods rely on additional network capacity or data replay. In…

Machine Learning · Computer Science 2022-02-01 Hao Liu , Huaping Liu

Topology Optimization seeks to find the best design that satisfies a set of constraints while maximizing system performance. Traditional iterative optimization methods like SIMP can be computationally expensive and get stuck in local…

Machine Learning · Computer Science 2023-03-20 Giorgio Giannone , Faez Ahmed

The Optimal Power Flow (OPF) problem is integral to the functioning of power systems, aiming to optimize generation dispatch while adhering to technical and operational constraints. These constraints are far from straightforward; they…

Machine Learning · Computer Science 2023-10-10 Andrew Rosemberg , Mathieu Tanneau , Bruno Fanzeres , Joaquim Garcia , Pascal Van Hentenryck

Modelling and understanding properties of materials from first principles require knowledge of the underlying atomistic structure. This entails knowing the individual identity and position of all involved atoms. Obtaining such information…

Chemical Physics · Physics 2023-07-06 Mads-Peter Verner Christiansen , Nikolaj Rønne , Bjørk Hammer

Drug Discovery is a fundamental and ever-evolving field of research. The design of new candidate molecules requires large amounts of time and money, and computational methods are being increasingly employed to cut these costs. Machine…

Machine Learning · Statistics 2021-05-28 Pietro Bongini , Monica Bianchini , Franco Scarselli

Gradient regularization (GR), which aims to penalize the gradient norm atop the loss function, has shown promising results in training modern over-parameterized deep neural networks. However, can we trust this powerful technique? This paper…

Machine Learning · Computer Science 2024-06-17 Yang Zhao , Hao Zhang , Xiuyuan Hu

Many real-world decisions are made under uncertainty by solving optimization problems using predicted quantities. This predict-then-optimize paradigm has motivated decision-focused learning, which trains models with awareness of how the…

Machine Learning · Computer Science 2025-11-10 Paula Rodriguez-Diaz , Kirk Bansak Elisabeth Paulson

Neuromorphic or neurally-inspired optimizers rely on local but parallel parameter updates to solve problems that range from quadratic programming to Ising machines. An ideal realization of such an optimizer not only uses a compute-in-memory…

Machine Learning · Computer Science 2026-03-31 Zihao Chen , Faiek Ahsan , Johannes Leugering , Gert Cauwenberghs , Shantanu Chakrabartty

Recent works in deep learning have shown that integrating differentiable physics simulators into the training process can greatly improve the quality of results. Although this combination represents a more complex optimization task than…

Machine Learning · Computer Science 2022-03-22 Patrick Schnell , Philipp Holl , Nils Thuerey

Iterative approximation methods using backpropagation enable the optimization of neural networks, but they remain computationally expensive, especially when used at scale. This paper presents an efficient alternative for optimizing neural…

Machine Learning · Computer Science 2023-11-14 Jake Ryland Williams , Haoran Zhao

Training Large Language Models (LLMs) presents significant memory challenges, predominantly due to the growing size of weights and optimizer states. Common memory-reduction approaches, such as low-rank adaptation (LoRA), add a trainable…

Machine Learning · Computer Science 2024-06-04 Jiawei Zhao , Zhenyu Zhang , Beidi Chen , Zhangyang Wang , Anima Anandkumar , Yuandong Tian

The performance of an optimizer on large-scale deep learning models depends critically on fine-tuning the learning rate, often requiring an extensive grid search over base learning rates, schedules, and other hyperparameters. In this paper,…

Machine Learning · Computer Science 2025-06-11 Ruichen Jiang , Ali Kavis , Aryan Mokhtari

High-dimensional optimization is a critical challenge for operating large-scale scientific facilities. We apply a physics-informed Gaussian process (GP) optimizer to tune a complex system by conducting efficient global search. Typical GP…

Computational Physics · Physics 2021-07-14 Adi Hanuka , X. Huang , J. Shtalenkova , D. Kennedy , A. Edelen , V. R. Lalchand , D. Ratner , J. Duris

Energy is an essential, but often forgotten aspect in large-scale federated systems. As most of the research focuses on tackling computational and statistical heterogeneity from the machine learning algorithms, the impact on the mobile…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-02 Cong Wang , Bin Hu , Hongyi Wu

Deep neural networks are workhorse models in machine learning with multiple layers of non-linear functions composed in series. Their loss function is highly non-convex, yet empirically even gradient descent minimisation is sufficient to…

Disordered Systems and Neural Networks · Physics 2020-03-18 Simon Becker , Yao Zhang , Alpha A. Lee

Gradient-domain machine learning (GDML) is an accurate and efficient approach to learn a molecular potential and associated force field based on the kernel ridge regression algorithm. Here, we demonstrate its application to learn an…

Computational Physics · Physics 2020-06-24 Jiang Wang , Stefan Chmiela , Klaus-Robert Müller , Frank Noè , Cecilia Clementi

In Multi-Task Learning (MTL), it is a common practice to train multi-task networks by optimizing an objective function, which is a weighted average of the task-specific objective functions. Although the computational advantages of this…

Machine Learning · Computer Science 2022-07-19 Lucas Pascal , Pietro Michiardi , Xavier Bost , Benoit Huet , Maria A. Zuluaga