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We present a novel hybrid algorithm for training Deep Neural Networks that combines the state-of-the-art Gradient Descent (GD) method with a Mixed Integer Linear Programming (MILP) solver, outperforming GD and variants in terms of accuracy,…

机器学习 · 计算机科学 2022-07-26 Dhananjay Ashok , Vineel Nagisetty , Christopher Srinivasa , Vijay Ganesh

Second-order optimizers hold intriguing potential for deep learning, but suffer from increased cost and sensitivity to the non-convexity of the loss surface as compared to gradient-based approaches. We introduce a coordinate descent method…

机器学习 · 计算机科学 2020-06-19 Ravi G. Patel , Nathaniel A. Trask , Mamikon A. Gulian , Eric C. Cyr

We introduce a practical method to enforce partial differential equation (PDE) constraints for functions defined by neural networks (NNs), with a high degree of accuracy and up to a desired tolerance. We develop a differentiable…

机器学习 · 计算机科学 2023-04-19 Geoffrey Négiar , Michael W. Mahoney , Aditi S. Krishnapriyan

With the successful application of deep learning in communications systems, deep neural networks are becoming the preferred method for signal classification. Although these models yield impressive results, they often come with high…

机器学习 · 计算机科学 2024-06-13 Yao Lu , Yutao Zhu , Yuqi Li , Dongwei Xu , Yun Lin , Qi Xuan , Xiaoniu Yang

With the rise of artificial intelligence in recent years, Deep Neural Networks (DNNs) have been widely used in many domains. To achieve high performance and energy efficiency, hardware acceleration (especially inference) of DNNs is…

分布式、并行与集群计算 · 计算机科学 2020-01-17 Linghao Song , Jiachen Mao , Youwei Zhuo , Xuehai Qian , Hai Li , Yiran Chen

Solving linear programs is often a challenging task in distributed settings. While there are good algorithms for solving packing and covering linear programs in a distributed manner (Kuhn et al.~2006), this is essentially the only class of…

数据结构与算法 · 计算机科学 2017-09-12 Michael Dinitz , Yasamin Nazari

Probabilistic graphical models are traditionally known for their successes in generative modeling. In this work, we advocate layered graphical models (LGMs) for probabilistic discriminative learning. To this end, we design LGMs in close…

机器学习 · 计算机科学 2019-02-04 Yuesong Shen , Tao Wu , Csaba Domokos , Daniel Cremers

To alleviate hardware scarcity in training large deep neural networks (DNNs), particularly large language models (LLMs), we present FusionLLM, a decentralized training system designed and implemented for training DNNs using geo-distributed…

分布式、并行与集群计算 · 计算机科学 2024-10-17 Zhenheng Tang , Xueze Kang , Yiming Yin , Xinglin Pan , Yuxin Wang , Xin He , Qiang Wang , Rongfei Zeng , Kaiyong Zhao , Shaohuai Shi , Amelie Chi Zhou , Bo Li , Bingsheng He , Xiaowen Chu

A core challenge in the interpretation of deep neural networks is identifying commonalities between the underlying algorithms implemented by distinct networks trained for the same task. Motivated by this problem, we introduce DYNAMO, an…

机器学习 · 计算机科学 2023-03-01 Jordan Cotler , Kai Sheng Tai , Felipe Hernández , Blake Elias , David Sussillo

This paper investigates the deep learning optimization problem with softmax cross-entropy loss. We propose a layer separation strategy to alleviate the strong nonconvexity encountered during training deep networks. For cross-entropy models…

机器学习 · 计算机科学 2026-04-28 Yaru Liu , Michael K. Ng , Yiqi Gu

We propose a new per-layer adaptive step-size procedure for stochastic first-order optimization methods for minimizing empirical loss functions in deep learning, eliminating the need for the user to tune the learning rate (LR). The proposed…

机器学习 · 计算机科学 2023-07-07 Achraf Bahamou , Donald Goldfarb

Linear programming has played a crucial role in shaping decision-making, resource allocation, and cost reduction in various domains. In this paper, we investigate the application of overparametrized neural networks and their implicit bias…

最优化与控制 · 数学 2023-10-05 Haoyue Wang , Promit Ghosal , Rahul Mazumder

In this paper, we investigate neural networks applied to multiscale simulations and discuss a design of a novel deep neural network model reduction approach for multiscale problems. Due to the multiscale nature of the medium, the fine-grid…

High dimension low sample size statistical analysis is important in a wide range of applications. In such situations, the highly appealing discrimination method, support vector machine, can be improved to alleviate data piling at the…

最优化与控制 · 数学 2017-08-18 Xin Yee Lam , J. S. Marron , Defeng Sun , Kim-Chuan Toh

New intelligence applications are driving increasing interest in deploying deep neural networks (DNN) in a distributed way. To set up distributed deep learning involves alterations of a great number of the parameter configurations of…

机器学习 · 计算机科学 2022-11-24 Xiaoyan Liu , Zhiwei Xu , Yana Qin , Jie Tian

We propose a multi-step training method for designing generalized linear classifiers. First, an initial multi-class linear classifier is found through regression. Then validation error is minimized by pruning of unnecessary inputs.…

机器学习 · 计算机科学 2023-12-15 Kanishka Tyagi , Chinmay Rane , Michael Manry

The deployment of deep convolutional neural networks (CNNs) in many real world applications is largely hindered by their high computational cost. In this paper, we propose a novel learning scheme for CNNs to simultaneously 1) reduce the…

计算机视觉与模式识别 · 计算机科学 2017-08-23 Zhuang Liu , Jianguo Li , Zhiqiang Shen , Gao Huang , Shoumeng Yan , Changshui Zhang

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

With the development of deep learning, Deep Metric Learning (DML) has achieved great improvements in face recognition. Specifically, the widely used softmax loss in the training process often bring large intra-class variations, and feature…

计算机视觉与模式识别 · 计算机科学 2018-05-02 Bowen Wu , Huaming Wu , Monica M. Y. Zhang

We introduce a learning-based framework to optimize tensor programs for deep learning workloads. Efficient implementations of tensor operators, such as matrix multiplication and high dimensional convolution, are key enablers of effective…