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Recurrent Neural Networks (RNNs) are designed to handle sequential data but suffer from vanishing or exploding gradients. Recent work on Unitary Recurrent Neural Networks (uRNNs) have been used to address this issue and in some cases,…

机器学习 · 统计学 2018-06-20 Kyle Helfrich , Devin Willmott , Qiang Ye

Knowledge embedded in the weights of the artificial neural network can be used to improve the network structure, such as in network compression. However, the knowledge is set up by hand, which may not be very accurate, and relevant…

神经与进化计算 · 计算机科学 2021-10-13 Mengqiao Han , Xiabi Liu , Zhaoyang Hai , Xin Duan

Random Matrix Theory (RMT) is applied to analyze the weight matrices of Deep Neural Networks (DNNs), including both production quality, pre-trained models such as AlexNet and Inception, and smaller models trained from scratch, such as…

机器学习 · 计算机科学 2019-01-25 Charles H. Martin , Michael W. Mahoney

The training of deep neural networks is inherently a nonconvex optimization problem, yet standard approaches such as stochastic gradient descent (SGD) require simultaneous updates to all parameters, often leading to unstable convergence and…

机器学习 · 计算机科学 2025-08-07 Chengcheng Yan , Jiawei Xu , Zheng Peng , Qingsong Wang

Memory, as the basis of learning, determines the storage, update and forgetting of knowledge and further determines the efficiency of learning. Featured with the mechanism of memory, a radial basis function neural network based learning…

系统与控制 · 电气工程与系统科学 2023-11-27 Yiming Fei , Jiangang Li , Yanan Li

Transformers have revolutionized almost all natural language processing (NLP) tasks but suffer from memory and computational complexity that scales quadratically with sequence length. In contrast, recurrent neural networks (RNNs) exhibit…

Empirically, large-scale deep learning models often satisfy a neural scaling law: the test error of the trained model improves polynomially as the model size and data size grow. However, conventional wisdom suggests the test error consists…

机器学习 · 计算机科学 2025-06-11 Licong Lin , Jingfeng Wu , Sham M. Kakade , Peter L. Bartlett , Jason D. Lee

Recurrent Neural Networks (RNNs) are frequently used to model aspects of brain function and structure. In this work, we trained small fully-connected RNNs to perform temporal and flow control tasks with time-varying stimuli. Our results…

神经元与认知 · 定量生物学 2023-06-29 Cecilia Jarne , Rodrigo Laje

Optimizing deep neural networks (DNNs) often suffers from the ill-conditioned problem. We observe that the scaling-based weight space symmetry property in rectified nonlinear network will cause this negative effect. Therefore, we propose to…

机器学习 · 计算机科学 2017-10-09 Lei Huang , Xianglong Liu , Bo Lang , Bo Li

Many neural networks exhibit stability in their activation patterns over time in response to inputs from sensors operating under real-world conditions. By capitalizing on this property of natural signals, we propose a Recurrent Neural…

神经与进化计算 · 计算机科学 2016-12-19 Daniel Neil , Jun Haeng Lee , Tobi Delbruck , Shih-Chii Liu

Helmholtz Machines (HMs) are a class of generative models composed of two Sigmoid Belief Networks (SBNs), acting respectively as an encoder and a decoder. These models are commonly trained using a two-step optimization algorithm called…

机器学习 · 计算机科学 2022-09-15 Csongor Várady , Riccardo Volpi , Luigi Malagò , Nihat Ay

The Recurrent Neural Networks and their variants have shown promising performances in sequence modeling tasks such as Natural Language Processing. These models, however, turn out to be impractical and difficult to train when exposed to very…

计算机视觉与模式识别 · 计算机科学 2017-07-07 Yinchong Yang , Denis Krompass , Volker Tresp

Neural Networks are function approximators that have achieved state-of-the-art accuracy in numerous machine learning tasks. In spite of their great success in terms of accuracy, their large training time makes it difficult to use them for…

机器学习 · 计算机科学 2017-04-18 Abhishek Sinha , Mausoom Sarkar , Aahitagni Mukherjee , Balaji Krishnamurthy

The prevailing paradigm for training large reasoning models--combining Supervised Fine-Tuning (SFT) with Reinforcement Learning with Verifiable Rewards (RLVR)--is fundamentally constrained by its reliance on high-quality, human-annotated…

机器学习 · 计算机科学 2026-03-24 Yuanfu Wang , Zhixuan Liu , Xiangtian Li , Chaochao Lu , Chao Yang

We study the implicit bias towards low-rank weight matrices when training neural networks (NN) with Weight Decay (WD). We prove that when a ReLU NN is sufficiently trained with Stochastic Gradient Descent (SGD) and WD, its weight matrix is…

机器学习 · 计算机科学 2024-10-04 Ke Chen , Chugang Yi , Haizhao Yang

The results of training a neural network are heavily dependent on the architecture chosen; and even a modification of only its size, however small, typically involves restarting the training process. In contrast to this, we begin training…

机器学习 · 计算机科学 2024-02-12 Rupert Mitchell , Robin Menzenbach , Kristian Kersting , Martin Mundt

Deep neural networks have been shown to be very powerful modeling tools for many supervised learning tasks involving complex input patterns. However, they can also easily overfit to training set biases and label noises. In addition to…

机器学习 · 计算机科学 2019-05-07 Mengye Ren , Wenyuan Zeng , Bin Yang , Raquel Urtasun

Deeper and wider CNNs are known to provide improved performance for deep learning tasks. However, most such networks have poor performance gain per parameter increase. In this paper, we investigate whether the gain observed in deeper models…

计算机视觉与模式识别 · 计算机科学 2021-08-20 Arnav Chavan , Udbhav Bamba , Rishabh Tiwari , Deepak Gupta

In contrast to SGD, adaptive gradient methods like Adam allow robust training of modern deep networks, especially large language models. However, the use of adaptivity not only comes at the cost of extra memory but also raises the…

机器学习 · 计算机科学 2022-07-20 Zhiyuan Li , Srinadh Bhojanapalli , Manzil Zaheer , Sashank J. Reddi , Sanjiv Kumar

Given that conventional recommenders, while deeply effective, rely on large distributed systems pre-trained on aggregate user data, incorporating new data necessitates large training cycles, making them slow to adapt to real-time user…

信息检索 · 计算机科学 2025-11-11 Rafayel Latif , Satwik Behera , Ali Al-Ebrahim