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If we want to train a neural network using any of the most popular optimization algorithms, we are immediately faced with a dilemma: how to set the various optimization and regularization hyperparameters? When computational resources are…

机器学习 · 计算机科学 2025-03-07 Sourabh Medapati , Priya Kasimbeg , Shankar Krishnan , Naman Agarwal , George Dahl

Adaptive methods like Adam have become the $\textit{de facto}$ standard for large-scale vector and Euclidean optimization due to their coordinate-wise adaptation with a second-order nature. More recently, matrix-based spectral optimizers…

机器学习 · 计算机科学 2026-05-28 Zitao Song , Cedar Site Bai , Zhe Zhang , Brian Bullins , David F. Gleich

We present a novel unified analysis for a broad class of adaptive optimization algorithms with structured (e.g., layerwise, diagonal, and kronecker-factored) preconditioners for both online regret minimization and offline convex…

机器学习 · 计算机科学 2025-07-16 Shuo Xie , Tianhao Wang , Sashank Reddi , Sanjiv Kumar , Zhiyuan Li

Neural networks are often highly sensitive to input and weight perturbations. This sensitivity has been linked to pathologies such as vulnerability to adversarial examples, divergent training, and overfitting. To combat these problems, past…

机器学习 · 计算机科学 2025-07-18 Laker Newhouse , R. Preston Hess , Franz Cesista , Andrii Zahorodnii , Jeremy Bernstein , Phillip Isola

Although deep learning has produced dazzling successes for applications of image, speech, and video processing in the past few years, most trainings are with suboptimal hyper-parameters, requiring unnecessarily long training times. Setting…

机器学习 · 计算机科学 2018-04-25 Leslie N. Smith

Commonly used optimization algorithms often show a trade-off between good generalization and fast training times. For instance, stochastic gradient descent (SGD) tends to have good generalization; however, adaptive gradient methods have…

机器学习 · 计算机科学 2023-06-14 Aditya Cowsik , Tankut Can , Paolo Glorioso

Probabilistic Transformer (PT), a white-box probabilistic model for contextual word representation, has demonstrated substantial similarity to standard Transformers in both computational structure and downstream task performance on small…

计算与语言 · 计算机科学 2026-04-29 Penghao Kuang , Haoyi Wu , Kewei Tu

We present a comprehensive theoretical and empirical study of the Muon optimizer for training transformers only with a small to medium decoder (30M - 200M parameters), with an emphasis on its mathematical foundations, convergence properties…

机器学习 · 计算机科学 2025-09-30 Sushant Mehta , Raj Dandekar , Rajat Dandekar , Sreedath Panat

Modern optimizers such as AdamW, equipped with momentum and adaptive learning rate, are designed to escape local minima and explore the vast parameter space. This exploration is beneficial for finding good loss basins when training from…

机器学习 · 计算机科学 2024-11-05 Junjiao Tian , Chengyue Huang , Zsolt Kira

AI accelerator processing capabilities and memory constraints largely dictate the scale in which machine learning workloads (e.g., training and inference) can be executed within a desirable time frame. Training a state of the art,…

分布式、并行与集群计算 · 计算机科学 2023-10-12 Michael Benington , Leo Phan , Chris Pierre Paul , Evan Shoemaker , Priyanka Ranade , Torstein Collett , Grant Hodgson Perez , Christopher Krieger

Spectral optimizers such as Muon have recently shown strong empirical performance in large-scale language model training, but the source and extent of their advantage remain poorly understood. We study this question through the linear…

机器学习 · 计算机科学 2026-04-29 Juno Kim , Eshaan Nichani , Denny Wu , Alberto Bietti , Jason D. Lee

Fine-tuning is widely used as the default algorithm for transfer learning from pre-trained models. Parameter inefficiency can however arise when, during transfer learning, all the parameters of a large pre-trained model need to be updated…

计算与语言 · 计算机科学 2023-03-07 Yingting Li , Ambuj Mehrish , Shuai Zhao , Rishabh Bhardwaj , Amir Zadeh , Navonil Majumder , Rada Mihalcea , Soujanya Poria

In practice, the hyperparameters $(\beta_1, \beta_2)$ and weight-decay $\lambda$ in AdamW are typically kept at fixed values. Is there any reason to do otherwise? We show that for large-scale language model training, the answer is yes: by…

机器学习 · 统计学 2026-02-19 Damien Ferbach , Courtney Paquette , Gauthier Gidel , Katie Everett , Elliot Paquette

In the training of large language models (LLMs), updating parameters more efficiently and stably has always been an important challenge. To achieve efficient parameter updates, existing methods usually achieve performance comparable to full…

机器学习 · 计算机科学 2025-02-06 Da Chang , Yu Li , Ganzhao Yuan

Learning rate scheduling is crucial for training large language models, yet understanding the optimal annealing strategies across different model configurations remains challenging. In this work, we investigate the transferability of…

机器学习 · 计算机科学 2025-12-17 Siqi Wang , Zhengyu Chen , Teng Xiao , Zheqi Lv , Jinluan Yang , Xunliang Cai , Jingang Wang , Xiaomeng Li

Adapter Tuning, which freezes the pretrained language models (PLMs) and only fine-tunes a few extra modules, becomes an appealing efficient alternative to the full model fine-tuning. Although computationally efficient, the recent Adapters…

计算与语言 · 计算机科学 2022-11-11 Shwai He , Liang Ding , Daize Dong , Miao Zhang , Dacheng Tao

Recent years have seen a growing interest and adoption of LLMs, with Mixture-of-Experts (MoE) emerging as a leading architecture in extremely large models. Currently, the largest open-source models reach over $1$T parameters. At such…

Deep learning optimizers are optimization algorithms that enable deep neural networks to learn. The effectiveness of learning is highly dependent on the optimizer employed in the training process. Alongside the rapid advancement of deep…

机器学习 · 计算机科学 2025-09-24 Doğay Altınel

Autoregressive next-token training offers a unified formulation for image generation and text understanding, but it also creates strong modality competition that destabilizes optimization and limits large-batch scaling. We show that…

计算机视觉与模式识别 · 计算机科学 2026-05-18 Yishun Lu , Wes Armour

MLP is a heavily used backbone in modern deep learning (DL) architectures for supervised learning on tabular data, and AdamW is the go-to optimizer used to train tabular DL models. Unlike architecture design, however, the choice of…

机器学习 · 计算机科学 2026-04-20 Yury Gorishniy , Ivan Rubachev , Dmitrii Feoktistov , Artem Babenko