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For most deep learning algorithms training is notoriously time consuming. Since most of the computation in training neural networks is typically spent on floating point multiplications, we investigate an approach to training that eliminates…

机器学习 · 计算机科学 2016-02-29 Zhouhan Lin , Matthieu Courbariaux , Roland Memisevic , Yoshua Bengio

Unlearning the data observed during the training of a machine learning (ML) model is an important task that can play a pivotal role in fortifying the privacy and security of ML-based applications. This paper raises the following questions:…

机器学习 · 计算机科学 2023-06-01 Ayush K Tarun , Vikram S Chundawat , Murari Mandal , Mohan Kankanhalli

Recurrent neural networks are a powerful tool, but they are very sensitive to their hyper-parameter configuration. Moreover, training properly a recurrent neural network is a tough task, therefore selecting an appropriate configuration is…

机器学习 · 计算机科学 2019-03-12 Andrés Camero , Jamal Toutouh , Enrique Alba

Deep learning has received considerable empirical successes in recent years. However, while many ad hoc tricks have been discovered by practitioners, until recently, there has been a lack of theoretical understanding for tricks invented in…

机器学习 · 计算机科学 2020-12-29 Cong Fang , Hanze Dong , Tong Zhang

We propose an algorithm capable of identifying and eliminating irrelevant layers of a neural network during the early stages of training. In contrast to weight or filter-level pruning, layer pruning reduces the harder to parallelize…

机器学习 · 计算机科学 2024-06-10 Valentin Frank Ingmar Guenter , Athanasios Sideris

Generalization of deep neural networks remains one of the main open problems in machine learning. Previous theoretical works focused on deriving tight bounds of model complexity, while empirical works revealed that neural networks exhibit…

机器学习 · 计算机科学 2022-01-31 James Wang , Cheng-Lin Yang

We introduce the class of SO-friendly neural networks, which include several models used in practice including networks with 2 layers of hidden weights where the number of inputs is larger than the number of outputs. SO-friendly networks…

机器学习 · 计算机科学 2024-06-27 Betty Shea , Mark Schmidt

It is shown that over-parameterized neural networks can achieve minimax optimal rates of convergence (up to logarithmic factors) for learning functions from certain smooth function classes, if the weights are suitably constrained or…

机器学习 · 统计学 2024-06-05 Yunfei Yang , Ding-Xuan Zhou

It has been experimentally observed in recent years that multi-layer artificial neural networks have a surprising ability to generalize, even when trained with far more parameters than observations. Is there a theoretical basis for this?…

机器学习 · 统计学 2018-09-19 Andrew R. Barron , Jason M. Klusowski

Autonomous machine learning systems that learn many tasks in sequence are prone to the catastrophic forgetting problem. Mathematical theory is needed in order to understand the extent of forgetting during continual learning. As a…

机器学习 · 计算机科学 2025-02-18 Daniel Goldfarb , Paul Hand

We study the supervised learning problem under either of the following two models: (1) Feature vectors ${\boldsymbol x}_i$ are $d$-dimensional Gaussians and responses are $y_i = f_*({\boldsymbol x}_i)$ for $f_*$ an unknown quadratic…

机器学习 · 统计学 2019-06-24 Behrooz Ghorbani , Song Mei , Theodor Misiakiewicz , Andrea Montanari

Deep learning models have proven to be exceptionally useful in performing many machine learning tasks. However, for each new dataset, choosing an effective size and structure of the model can be a time-consuming process of trial and error.…

机器学习 · 计算机科学 2019-08-08 Roozbeh Yousefzadeh , Dianne P O'Leary

Training a high-quality deep neural network requires choosing suitable hyperparameters, which is a non-trivial and expensive process. Current works try to automatically optimize or design principles of hyperparameters, such that they can…

机器学习 · 计算机科学 2024-02-28 Wuyang Chen , Junru Wu , Zhangyang Wang , Boris Hanin

The inductive bias of a neural network is largely determined by the architecture and the training algorithm. To achieve good generalization, how to effectively train a neural network is of great importance. We propose a novel orthogonal…

机器学习 · 计算机科学 2021-06-08 Weiyang Liu , Rongmei Lin , Zhen Liu , James M. Rehg , Liam Paull , Li Xiong , Le Song , Adrian Weller

One of the most surprising and exciting discoveries in supervised learning was the benefit of overparameterization (i.e. training a very large model) to improving the optimization landscape of a problem, with minimal effect on statistical…

机器学习 · 统计学 2020-07-17 Rares-Darius Buhai , Yoni Halpern , Yoon Kim , Andrej Risteski , David Sontag

Neural network-based function approximation plays a pivotal role in the advancement of scientific computing and machine learning. Yet, training such models faces several challenges: (i) each target function often requires training a new…

机器学习 · 计算机科学 2025-10-13 Xinwen Hu , Yunqing Huang , Nianyu Yi , Peimeng Yin

We introduce a machine-learning framework to learn the hyperparameter sequence of first-order methods (e.g., the step sizes in gradient descent) to quickly solve parametric convex optimization problems. Our computational architecture…

最优化与控制 · 数学 2024-12-23 Rajiv Sambharya , Bartolomeo Stellato

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

Hyperparameter transfer allows extrapolating optimal optimization hyperparameters from small to large scales, making it critical for training large language models (LLMs). This is done either by fitting a scaling law to the hyperparameters…

机器学习 · 计算机科学 2026-05-21 Dayal Singh Kalra , Maissam Barkeshli

Recent theoretical works on over-parameterized neural nets have focused on two aspects: optimization and generalization. Many existing works that study optimization and generalization together are based on neural tangent kernel and require…

机器学习 · 计算机科学 2021-04-27 Shiyu Liang , Ruoyu Sun , R. Srikant