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We introduce LDAdam, a memory-efficient optimizer for training large models, that performs adaptive optimization steps within lower dimensional subspaces, while consistently exploring the full parameter space during training. This strategy…

Machine Learning · Computer Science 2025-03-04 Thomas Robert , Mher Safaryan , Ionut-Vlad Modoranu , Dan Alistarh

Training large-scale neural networks requires solving nonconvex optimization where the choice of optimizer fundamentally determines both convergence behavior and computational efficiency. While adaptive methods like Adam have long dominated…

Machine Learning · Computer Science 2026-01-30 Chenrui Xu , Wenjing Yan , Ying-Jun Angela Zhang

It is widely recognized in modern machine learning practice that access to a diverse set of tasks can enhance performance across those tasks. This observation suggests that, unlike in general multi-objective optimization, the objectives in…

Machine Learning · Computer Science 2025-09-09 Ben Kretzu , Karen Ullrich , Yonathan Efroni

This work is a part of ICLR Reproducibility Challenge 2019, we try to reproduce the results in the conference submission PADAM: Closing The Generalization Gap of Adaptive Gradient Methods In Training Deep Neural Networks. Adaptive gradient…

Machine Learning · Computer Science 2019-01-29 Harshal Mittal , Kartikey Pandey , Yash Kant

We focus on the task of approximating the optimal value function in deep reinforcement learning. This iterative process is comprised of solving a sequence of optimization problems where the loss function changes per iteration. The common…

Machine Learning · Computer Science 2023-11-16 Kavosh Asadi , Rasool Fakoor , Shoham Sabach

Deep learning models rely on highly optimized tensor libraries for efficient inference on heterogeneous hardware. Current deep compilers typically predetermine layouts of tensors and then optimize loops of operators. However, such…

Machine Learning · Computer Science 2022-11-01 Zhiying Xu , Jiafan Xu , Hongding Peng , Wei Wang , Xiaoliang Wang , Haoran Wan , Haipeng Dai , Yixu Xu , Hao Cheng , Kun Wang , Guihai Chen

Large language models (LLMs) have achieved great success across diverse tasks, and fine-tuning is sometimes needed to further enhance generation quality. Most existing methods rely on human supervision or parameter retraining, both of which…

Computation and Language · Computer Science 2025-05-27 Zhen-Yu Zhang , Jiandong Zhang , Huaxiu Yao , Gang Niu , Masashi Sugiyama

This paper presents an evolutionary framework for the training of large language models(LLM). The models are divided into several experts(sub-networks), which have the same structure but different parameter values. Only one expert is…

Machine Learning · Computer Science 2025-09-30 Yingshi Chen

One of the grand enduring goals of AI is to create generalist agents that can learn multiple different tasks from diverse data via multitask learning (MTL). However, in practice, applying gradient descent (GD) on the average loss across all…

Machine Learning · Computer Science 2023-10-31 Bo Liu , Yihao Feng , Peter Stone , Qiang Liu

Adaptive first-order optimizers are fundamental tools in deep learning, although they may suffer from poor generalization due to the nonuniform gradient scaling. In this work, we propose AdamL, a novel variant of the Adam optimizer, that…

Machine Learning · Statistics 2023-12-27 Lu Xia , Stefano Massei

In today's heavily overparameterized models, the value of the training loss provides few guarantees on model generalization ability. Indeed, optimizing only the training loss value, as is commonly done, can easily lead to suboptimal model…

Machine Learning · Computer Science 2021-04-30 Pierre Foret , Ariel Kleiner , Hossein Mobahi , Behnam Neyshabur

In many recent works, the potential of Exploratory Landscape Analysis (ELA) features to numerically characterize, in particular, single-objective continuous optimization problems has been demonstrated. These numerical features provide the…

Machine Learning · Computer Science 2024-07-30 Moritz Vinzent Seiler , Pascal Kerschke , Heike Trautmann

Given the variety of the visual world there is not one true scale for recognition: objects may appear at drastically different sizes across the visual field. Rather than enumerate variations across filter channels or pyramid levels, dynamic…

Computer Vision and Pattern Recognition · Computer Science 2019-08-09 Dequan Wang , Evan Shelhamer , Bruno Olshausen , Trevor Darrell

We conjecture that the inherent difference in generalisation between adaptive and non-adaptive gradient methods in deep learning stems from the increased estimation noise in the flattest directions of the true loss surface. We demonstrate…

Machine Learning · Statistics 2022-03-17 Diego Granziol , Nicholas Baskerville

Predicting the performance of an optimization algorithm on a new problem instance is crucial in order to select the most appropriate algorithm for solving that problem instance. For this purpose, recent studies learn a supervised machine…

Machine Learning · Computer Science 2022-03-23 Risto Trajanov , Stefan Dimeski , Martin Popovski , Peter Korošec , Tome Eftimov

We present a method to formulate algorithm discovery as program search, and apply it to discover optimization algorithms for deep neural network training. We leverage efficient search techniques to explore an infinite and sparse program…

In this work we analyse quantitatively the interplay between the loss landscape and performance of descent algorithms in a prototypical inference problem, the spiked matrix-tensor model. We study a loss function that is the negative…

Machine Learning · Computer Science 2020-01-22 Stefano Sarao Mannelli , Florent Krzakala , Pierfrancesco Urbani , Lenka Zdeborová

The adaptive moment estimation (Adam) optimizer proposed by Kingma & Ba (2014) is presumably the most popular stochastic gradient descent (SGD) optimization method for the training of deep neural networks (DNNs) in artificial intelligence…

Machine Learning · Computer Science 2026-03-20 Steffen Dereich , Thang Do , Arnulf Jentzen

Due to its simplicity and outstanding ability to generalize, stochastic gradient descent (SGD) is still the most widely used optimization method despite its slow convergence. Meanwhile, adaptive methods have attracted rising attention of…

Optimization and Control · Mathematics 2020-06-15 Xunpeng Huang , Runxin Xu , Hao Zhou , Zhe Wang , Zhengyang Liu , Lei Li

Optimizing machine learning algorithms that are used to solve the objective function has been of great interest. Several approaches to optimize common algorithms, such as gradient descent and stochastic gradient descent, were explored. One…

Machine Learning · Computer Science 2022-10-06 Hilal AlQuabeh , Farha AlBreiki , Dilshod Azizov