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Scaling limits, such as infinite-width limits, serve as promising theoretical tools to study large-scale models. However, it is widely believed that existing infinite-width theory does not faithfully explain the behavior of practical…

Machine Learning · Computer Science 2025-10-28 Moritz Haas , Sebastian Bordt , Ulrike von Luxburg , Leena Chennuru Vankadara

Pre-trained language models have achieved noticeable performance on the intent detection task. However, due to assigning an identical weight to each sample, they suffer from the overfitting of simple samples and the failure to learn complex…

Computation and Language · Computer Science 2021-08-25 Yantao Gong , Cao Liu , Jiazhen Yuan , Fan Yang , Xunliang Cai , Guanglu Wan , Jiansong Chen , Ruiyao Niu , Houfeng Wang

This work investigates the ``small-vs-large gap'', where repeating on fewer samples can lead to compute saving during training compared to using a larger dataset. This is observed across algorithmic tasks, architectures and optimizers and…

Machine Learning · Computer Science 2026-05-21 Jingwen Liu , Ezra Edelman , Surbhi Goel , Bingbin Liu

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

In spite of advances in understanding lazy training, recent work attributes the practical success of deep learning to the rich regime with complex inductive bias. In this paper, we study rich regime training empirically with benchmark…

Machine Learning · Computer Science 2021-03-01 Xinyan Li , Arindam Banerjee

We investigate the learning dynamics of classifiers in scenarios where classes are separable or classifiers are over-parameterized. In both cases, Empirical Risk Minimization (ERM) results in zero training error. However, there are many…

Machine Learning · Computer Science 2024-10-23 Julius Martinetz , Christoph Linse , Thomas Martinetz

One of the generally accepted views of modern deep learning is that increasing the number of parameters usually leads to better quality. The two easiest ways to increase the number of parameters is to increase the size of the network, e.g.…

Machine Learning · Computer Science 2020-05-18 Nadezhda Chirkova , Ekaterina Lobacheva , Dmitry Vetrov

The learning rate in stochastic gradient methods is a critical hyperparameter that is notoriously costly to tune via standard grid search, especially for training modern large-scale models with billions of parameters. We identify a…

Machine Learning · Computer Science 2026-02-17 Amit Attia , Tomer Koren

A basic unanswered question in neural network training is: what is the best learning rate schedule shape for a given workload? The choice of learning rate schedule is a key factor in the success or failure of the training process, but…

Machine Learning · Computer Science 2026-03-16 Hiroki Naganuma , Atish Agarwala , Priya Kasimbeg , George E. Dahl

Multi-scale resolution training has seen an increased adoption across multiple vision tasks, including classification and detection. Training with smaller resolutions enables faster training at the expense of a drop in accuracy. Conversely,…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Elvis Nunez , Thomas Merth , Anish Prabhu , Mehrdad Farajtabar , Mohammad Rastegari , Sachin Mehta , Maxwell Horton

We show that learning-rate schedules for large model training behave surprisingly similar to a performance bound from non-smooth convex optimization theory. We provide a bound for the constant schedule with linear cooldown; in particular,…

Machine Learning · Computer Science 2025-07-24 Fabian Schaipp , Alexander Hägele , Adrien Taylor , Umut Simsekli , Francis Bach

Multi-goal reinforcement learning (RL) aims to qualify the agent to accomplish multi-goal tasks, which is of great importance in learning scalable robotic manipulation skills. However, reward engineering always requires strenuous efforts in…

Robotics · Computer Science 2021-09-27 Deyu Yang , Hanbo Zhang , Xuguang Lan , Jishiyu Ding

The problem of pre-training data detection for large language models (LLMs) has received growing attention due to its implications in critical issues like copyright violation and test data contamination. Despite improved performance,…

Computation and Language · Computer Science 2025-02-13 Jingyang Zhang , Jingwei Sun , Eric Yeats , Yang Ouyang , Martin Kuo , Jianyi Zhang , Hao Frank Yang , Hai Li

In this paper, we analyze the effects of depth and width on the quality of local minima, without strong over-parameterization and simplification assumptions in the literature. Without any simplification assumption, for deep nonlinear neural…

Machine Learning · Computer Science 2019-07-10 Kenji Kawaguchi , Jiaoyang Huang , Leslie Pack Kaelbling

Why do neural networks trained with large learning rates for a longer time often lead to better generalization? In this paper, we delve into this question by examining the relation between training and testing loss in neural networks.…

Machine Learning · Computer Science 2024-01-23 Yinuo Ren , Chao Ma , Lexing Ying

Highly overparametrized neural networks can display curiously strong generalization performance - a phenomenon that has recently garnered a wealth of theoretical and empirical research in order to better understand it. In contrast to most…

Machine Learning · Computer Science 2020-09-29 Jorg Bornschein , Francesco Visin , Simon Osindero

This article studies the achievable guarantees on the error rates of certain learning algorithms, with particular focus on refining logarithmic factors. Many of the results are based on a general technique for obtaining bounds on the error…

Machine Learning · Computer Science 2016-09-13 Steve Hanneke

This paper focuses on understanding how the generalization error scales with the amount of the training data for deep neural networks (DNNs). Existing techniques in statistical learning require computation of capacity measures, such as VC…

Machine Learning · Computer Science 2021-05-06 Devansh Bisla , Apoorva Nandini Saridena , Anna Choromanska

In this paper, we address the challenge of determining the layer-wise sparsity rates of large language models (LLMs) through a theoretical perspective. Specifically, we identify a critical issue of ''$\textbf{reconstruction error…

Machine Learning · Computer Science 2025-02-21 Weizhong Huang , Yuxin Zhang , Xiawu Zheng , Fei Chao , Rongrong Ji

Little research explores the correlation between the expressive ability and generalization ability of the low-rank adaptation (LoRA). Sharpness-Aware Minimization (SAM) improves model generalization for both Convolutional Neural Networks…

Computation and Language · Computer Science 2025-12-16 Jiaxin Deng , Qingcheng Zhu , Junbiao Pang , Linlin Yang , Zhongqian Fu , Baochang Zhang