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The largest eigenvalue of the Hessian, or sharpness, of neural networks is a key quantity to understand their optimization dynamics. In this paper, we study the sharpness of deep linear networks for univariate regression. Minimizers can…

机器学习 · 统计学 2024-10-29 Pierre Marion , Lénaïc Chizat

Zero-shot quantization aims to learn a quantized model from a pre-trained full-precision model with no access to original real training data. The common idea in zero-shot quantization approaches is to generate synthetic data for quantizing…

机器学习 · 计算机科学 2025-10-09 Dung Hoang-Anh , Cuong Pham Trung Le , Jianfei Cai , Thanh-Toan Do

Energy-efficient deep neural network (DNN) accelerators are prone to non-idealities that degrade DNN performance at inference time. To mitigate such degradation, existing methods typically add perturbations to the DNN weights during…

机器学习 · 计算机科学 2023-03-22 Gonçalo Mordido , Sébastien Henwood , Sarath Chandar , François Leduc-Primeau

Toward achieving robust and defensive neural networks, the robustness against the weight parameters perturbations, i.e., sharpness, attracts attention in recent years (Sun et al., 2020). However, sharpness is known to remain a critical…

机器学习 · 计算机科学 2021-06-29 Hikaru Ibayashi , Takuo Hamaguchi , Masaaki Imaizumi

The multiplicative structure of parameters and input data in the first layer of neural networks is explored to build connection between the landscape of the loss function with respect to parameters and the landscape of the model function…

机器学习 · 计算机科学 2021-11-30 Chao Ma , Lexing Ying

Recently there are a considerable amount of work devoted to the study of the algorithmic stability and generalization for stochastic gradient descent (SGD). However, the existing stability analysis requires to impose restrictive assumptions…

机器学习 · 计算机科学 2020-06-16 Yunwen Lei , Yiming Ying

We revisit the classical problem of finding an approximately stationary point of the average of $n$ smooth and possibly nonconvex functions. The optimal complexity of stochastic first-order methods in terms of the number of gradient…

机器学习 · 计算机科学 2022-06-07 Alexander Tyurin , Lukang Sun , Konstantin Burlachenko , Peter Richtárik

In this work, to efficiently help escape the stationary and saddle points, we propose, analyze, and generalize a stochastic strategy performed as an operator for a first-order gradient descent algorithm in order to increase the target…

机器学习 · 计算机科学 2022-05-23 Wei Zhang , Yu Bao

As a technique to alleviate the pressure of data annotation, semi-supervised learning (SSL) has attracted widespread attention. In the specific domain of medical image segmentation, semi-supervised methods (SSMIS) have become a research…

计算机视觉与模式识别 · 计算机科学 2024-11-20 Bingli Wang , Houcheng Su , Nan Yin , Mengzhu Wang , Li Shen

Learned Optimizers (LOs), a type of Meta-learning, have gained traction due to their ability to be parameterized and trained for efficient optimization. Traditional gradient-based methods incorporate explicit regularization techniques such…

机器学习 · 计算机科学 2025-10-13 Suraj Kumar Sahoo , Narayanan C Krishnan

Current quantization-aware training (QAT) methods primarily focus on enhancing the performance of quantized models on in-distribution (I.D) data, while overlooking the potential performance degradation on out-of-distribution (OOD) data. In…

计算机视觉与模式识别 · 计算机科学 2025-09-09 Jiacheng Jiang , Yuan Meng , Chen Tang , Han Yu , Qun Li , Zhi Wang , Wenwu Zhu

This paper formalizes and analyzes Gaussian smoothing applied to two prominent optimization methods: Stochastic Gradient Descent (GSmoothSGD) and Adam (GSmoothAdam) in deep learning. By attenuating small fluctuations, Gaussian smoothing…

最优化与控制 · 数学 2024-11-19 Andrew Starnes , Clayton Webster

Gradient descent is the primary workhorse for optimizing large-scale problems in machine learning. However, its performance is highly sensitive to the choice of the learning rate. A key limitation of gradient descent is its lack of natural…

最优化与控制 · 数学 2025-07-15 Oscar Smee , Fred Roosta , Stephen J. Wright

This paper proposes a theoretical framework to evaluate and compare the performance of stochastic gradient algorithms for distributed learning in relation to their behavior around local minima in nonconvex environments. Previous works have…

机器学习 · 计算机科学 2025-07-03 Ying Cao , Zhaoxian Wu , Kun Yuan , Ali H. Sayed

We consider the problem of minimizing a high-dimensional objective function, which may include a regularization term, using (possibly noisy) evaluations of the function. Such optimization is also called derivative-free, zeroth-order, or…

最优化与控制 · 数学 2023-03-20 HanQin Cai , Daniel Mckenzie , Wotao Yin , Zhenliang Zhang

Recent works on over-parameterized neural networks have shown that the stochasticity in optimizers has the implicit regularization effect of minimizing the sharpness of the loss function (in particular, the trace of its Hessian) over the…

机器学习 · 计算机科学 2023-06-26 Khashayar Gatmiry , Zhiyuan Li , Ching-Yao Chuang , Sashank Reddi , Tengyu Ma , Stefanie Jegelka

Regularization is essential for avoiding over-fitting to training data in network optimization, leading to better generalization of the trained networks. The label noise provides a strong implicit regularization by replacing the target…

机器学习 · 计算机科学 2022-05-04 Kensuke Nakamura , Bong-Soo Sohn , Kyoung-Jae Won , Byung-Woo Hong

Learning new tasks by drawing on prior experience gathered from other (related) tasks is a core property of any intelligent system. Gradient-based meta-learning, especially MAML and its variants, has emerged as a viable solution to…

机器学习 · 计算机科学 2024-09-06 El Mahdi Chayti , Martin Jaggi

Zeroth-order optimization is the process of minimizing an objective $f(x)$, given oracle access to evaluations at adaptively chosen inputs $x$. In this paper, we present two simple yet powerful GradientLess Descent (GLD) algorithms that do…

机器学习 · 计算机科学 2020-05-20 Daniel Golovin , John Karro , Greg Kochanski , Chansoo Lee , Xingyou Song , Qiuyi Zhang

Improving robustness of the Segment Anything Model (SAM) to input degradations is critical for its deployment in high-stakes applications such as autonomous driving and robotics. Our approach to this challenge prioritizes three key aspects:…

计算机视觉与模式识别 · 计算机科学 2025-06-06 Sohyun Lee , Yeho Gwon , Lukas Hoyer , Suha Kwak
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