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Stochastic Gradient Descent (SGD) has proven to be remarkably effective in optimizing deep neural networks that employ ever-larger numbers of parameters. Yet, improving the efficiency of large-scale optimization remains a vital and highly…

Machine Learning · Computer Science 2020-11-11 Frithjof Gressmann , Zach Eaton-Rosen , Carlo Luschi

Multi-objective learning endeavors to concurrently optimize multiple objectives using a single model, aiming to achieve high and balanced performance across diverse objectives. However, this often entails a more complex optimization…

Machine Learning · Computer Science 2025-05-16 Shijun Li , Hilaf Hasson , Jing Hu , Joydeep Ghosh

We introduce a neural network-driven robust optimisation framework that integrates data-driven domain as a constraint into the nonlinear programming technique, addressing the overlooked issue of domain-inconsistent solutions arising from…

Machine Learning · Computer Science 2025-10-17 Waqar Muhammad Ashraf , Talha Ansar , Abdulelah S. Alshehri , Peipei Chen , Ramit Debnath , Vivek Dua

Grokking -- the delayed transition from memorization to generalization in small algorithmic tasks -- remains poorly understood. We present a geometric analysis of optimization dynamics in transformers trained on modular arithmetic. PCA of…

Machine Learning · Computer Science 2026-04-06 Yongzhong Xu

In the last few decades, several novel algorithms have been designed for finding critical points on PES and the minimum energy paths connecting them. This has led to considerably improve our understanding of reaction mechanisms and kinetics…

Computational Engineering, Finance, and Science · Computer Science 2024-10-30 Sandra Liz Simon , Nitin Kaistha , Vishal Agarwal

For deep learning inference on edge devices, hardware configurations achieving the same throughput can differ by 2$\times$ in power consumption, yet operators often struggle to find the efficient ones without exhaustive profiling. Existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-17 Ahmad N. L. Nabhaan , Zaki Sukma , Rakandhiya D. Rachmanto , Muhammad Husni Santriaji , Byungjin Cho , Arief Setyanto , In Kee Kim

First order methods endowed with global convergence guarantees operate using global lower bounds on the objective. The tightening of the bounds has been shown to increase both the theoretical guarantees and the practical performance. In…

Optimization and Control · Mathematics 2024-04-30 Mihai I. Florea , Yurii Nesterov

Recently, intelligent scheduling approaches using surrogate models have been proposed to efficiently allocate volatile tasks in heterogeneous fog environments. Advances like deterministic surrogate models, deep neural networks (DNN) and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-17 Shreshth Tuli , Giuliano Casale , Nicholas R. Jennings

Federated learning enables collaborative model training across distributed clients while preserving data privacy. However, in practical deployments, device heterogeneity, non-independent, and identically distributed (Non-IID) data often…

Artificial Intelligence · Computer Science 2026-02-20 Jin Wang , Hui Ma , Fei Xing , Ming Yan

Graph Neural Networks (GNNs) have been studied through the lens of expressive power and generalization. However, their optimization properties are less well understood. We take the first step towards analyzing GNN training by studying the…

Machine Learning · Computer Science 2021-05-27 Keyulu Xu , Mozhi Zhang , Stefanie Jegelka , Kenji Kawaguchi

When optimizing a nonlinear objective, one can employ a neural network as a surrogate for the nonlinear function. However, the resulting optimization model can be time-consuming to solve globally with exact methods. As a result, local…

Optimization and Control · Mathematics 2026-03-19 Jiatai Tong , Yilin Zhu , Thiago Serra , Samuel Burer

Training large neural networks (NNs) requires optimizing high-dimensional data-dependent loss functions. The optimization landscape of these functions is often highly complex and textured, even fractal-like, with many spurious local minima,…

Machine Learning · Computer Science 2025-10-27 Mohammed Djameleddine Belgoumri , Mohamed Reda Bouadjenek , Hakim Hacid , Imran Razzak , Sunil Aryal

Optimizing chemical properties is a challenging task due to the vastness and complexity of chemical space. Here, we present a generative energy-based architecture for implicit chemical property optimization, designed to efficiently generate…

Biomolecules · Quantitative Biology 2025-06-19 Luca Miglior , Lorenzo Simone , Marco Podda , Davide Bacciu

Graph Neural Networks (GNNs) have achieved impressive performance in collaborative filtering. However, GNNs tend to yield inferior performance when the distributions of training and test data are not aligned well. Also, training GNNs…

Machine Learning · Computer Science 2023-07-19 Huiyuan Chen , Chin-Chia Michael Yeh , Yujie Fan , Yan Zheng , Junpeng Wang , Vivian Lai , Mahashweta Das , Hao Yang

Training large-scale neural networks in vision, and multimodal domains demands substantial memory resources, primarily due to the storage of optimizer states. While LoRA, a popular parameter-efficient method, reduces memory usage, it often…

Machine Learning · Computer Science 2025-03-13 Jinqi Xiao , Shen Sang , Tiancheng Zhi , Jing Liu , Qing Yan , Yuqian Zhang , Linjie Luo , Bo Yuan

The development of coarse-grained (CG) molecular models typically requires a time-consuming iterative tuning of parameters in order to have the approximated CG models behaving correctly and consistently with, e.g., available…

Optimising deep neural networks is a challenging task due to complex training dynamics, high computational requirements, and long training times. To address this difficulty, we propose the framework of Generalisable Agents for Neural…

Neuroscientists fit morphologically and biophysically detailed neuron simulations to physiological data, often using evolutionary algorithms. However, such gradient-free approaches are computationally expensive, making convergence slow when…

Neurons and Cognition · Quantitative Biology 2024-07-23 Ilenna Simone Jones , Konrad Paul Kording

Adaptive gradient algorithms perform gradient-based updates using the history of gradients and are ubiquitous in training deep neural networks. While adaptive gradient methods theory is well understood for minimization problems, the…

Optimization and Control · Mathematics 2020-12-29 Mingrui Liu , Youssef Mroueh , Jerret Ross , Wei Zhang , Xiaodong Cui , Payel Das , Tianbao Yang

Federated learning (FL) is an emerging technique for training machine learning models using geographically dispersed data collected by local entities. It includes local computation and synchronization steps. To reduce the communication…

Machine Learning · Computer Science 2020-03-23 Pengchao Han , Shiqiang Wang , Kin K. Leung