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The key task of machine learning is to minimize the loss function that measures the model fit to the training data. The numerical methods to do this efficiently depend on the properties of the loss function. The most decisive among these…

Recent breakthroughs in computer vision make use of large deep neural networks, utilizing the substantial speedup offered by GPUs. For applications running on limited hardware, however, high precision real-time processing can still be a…

机器学习 · 计算机科学 2018-02-05 Oran Shayer , Dan Levi , Ethan Fetaya

It is widely conjectured that the reason that training algorithms for neural networks are successful because all local minima lead to similar performance, for example, see (LeCun et al., 2015, Choromanska et al., 2015, Dauphin et al.,…

机器学习 · 计算机科学 2018-03-06 Shiyu Liang , Ruoyu Sun , Yixuan Li , R. Srikant

We study distributed learning with the least squares regularization scheme in a reproducing kernel Hilbert space (RKHS). By a divide-and-conquer approach, the algorithm partitions a data set into disjoint data subsets, applies the least…

机器学习 · 计算机科学 2017-03-14 Shao-Bo Lin , Xin Guo , Ding-Xuan Zhou

In this paper, we study the Empirical Risk Minimization problem in the non-interactive local model of differential privacy. In the case of constant or low dimensionality ($p\ll n$), we first show that if the ERM loss function is $(\infty,…

机器学习 · 计算机科学 2018-05-18 Di Wang , Marco Gaboardi , Jinhui Xu

Large language model (LLM) training is often bottlenecked by memory constraints and stochastic gradient noise in extremely high-dimensional parameter spaces. Motivated by empirical evidence that many LLM gradient matrices are effectively…

机器学习 · 计算机科学 2026-03-24 Zehao Li , Tao Ren , Zishi Zhang , Xi Chen , Yijie Peng

The Mean Teacher (MT) model of Tarvainen and Valpola has shown favorable performance on several semi-supervised benchmark datasets. MT maintains a teacher model's weights as the exponential moving average of a student model's weights and…

机器学习 · 计算机科学 2020-07-27 Zexi Chen , Benjamin Dutton , Bharathkumar Ramachandra , Tianfu Wu , Ranga Raju Vatsavai

A fundamental problem in machine learning is to understand how neural networks make accurate predictions, while seemingly bypassing the curse of dimensionality. A possible explanation is that common training algorithms for neural networks…

机器学习 · 统计学 2024-01-10 Adityanarayanan Radhakrishnan , Mikhail Belkin , Dmitriy Drusvyatskiy

A crucial assumption underlying the most current theory of machine learning is that the training distribution is identical to the test distribution. However, this assumption may not hold in some real-world applications. In this paper, we…

机器学习 · 统计学 2023-02-24 Jiangshe Zhang , Lizhen Ji , Fei Gao , Mengyao Li

We propose a new neural sequence model training method in which the objective function is defined by $\alpha$-divergence. We demonstrate that the objective function generalizes the maximum-likelihood (ML)-based and reinforcement learning…

机器学习 · 统计学 2017-07-03 Sotetsu Koyamada , Yuta Kikuchi , Atsunori Kanemura , Shin-ichi Maeda , Shin Ishii

In this work, we propose a new training method for finding minimum weight norm solutions in over-parameterized neural networks (NNs). This method seeks to improve training speed and generalization performance by framing NN training as a…

机器学习 · 统计学 2018-06-22 Yamini Bansal , Madhu Advani , David D Cox , Andrew M Saxe

Many attempts took place to improve the adaptive filters that can also be useful to improve backpropagation (BP). Normalized least mean squares (NLMS) is one of the most successful algorithms derived from Least mean squares (LMS). However,…

机器学习 · 计算机科学 2021-01-05 Naeem Paeedeh , Kamaledin Ghiasi-Shirazi

Traditional landscape analysis of deep neural networks aims to show that no sub-optimal local minima exist in some appropriate sense. From this, one may be tempted to conclude that descent algorithms which escape saddle points will reach a…

机器学习 · 计算机科学 2020-01-01 Shiyu Liang , Ruoyu Sun , R. Srikant

This paper considers continual learning of large-scale pretrained neural machine translation model without accessing the previous training data or introducing model separation. We argue that the widely used regularization-based methods,…

计算与语言 · 计算机科学 2022-11-07 Shuhao Gu , Bojie Hu , Yang Feng

Few-shot learning features the capability of generalizing from a few examples. In this paper, we first identify that a discriminative feature space, namely a rectified metric space, that is learned to maintain the metric consistency from…

计算机视觉与模式识别 · 计算机科学 2020-12-03 Yang Zhao , Chunyuan Li , Ping Yu , Changyou Chen

The present study proposes incorporating non-parametric knowledge into the diffusion least-mean-squares algorithm in the framework of a maximum a posteriori (MAP) estimation. The proposed algorithm leads to a robust estimation of an unknown…

机器学习 · 计算机科学 2023-12-05 Soheil Ashkezari-Toussi , Hadi sadoghi-Yazdi

Few-shot learning is a rapidly evolving area of research in machine learning where the goal is to classify unlabeled data with only one or "a few" labeled exemplary samples. Neural networks are typically trained to minimize a distance…

计算机视觉与模式识别 · 计算机科学 2022-12-09 Samuel Hess , Gregory Ditzler

Supervised training of deep neural nets typically relies on minimizing cross-entropy. However, in many domains, we are interested in performing well on metrics specific to the application. In this paper we propose a direct loss minimization…

机器学习 · 计算机科学 2016-06-03 Yang Song , Alexander G. Schwing , Richard S. Zemel , Raquel Urtasun

We propose minimum risk training for end-to-end neural machine translation. Unlike conventional maximum likelihood estimation, minimum risk training is capable of optimizing model parameters directly with respect to arbitrary evaluation…

计算与语言 · 计算机科学 2016-06-16 Shiqi Shen , Yong Cheng , Zhongjun He , Wei He , Hua Wu , Maosong Sun , Yang Liu

Blind inverse problems arise in many experimental settings where both the signal of interest and the forward operator are (partially) unknown. In this context, methods developed for the non-blind case cannot be adapted in a straightforward…

机器学习 · 计算机科学 2026-04-21 Nathan Buskulic , Luca Calatroni , Lorenzo Rosasco , Silvia Villa