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The choice of activation function plays a critical role in neural networks, yet most architectures still rely on fixed, uniform activation functions across all neurons. We introduce SmartMixed, a two-phase training strategy that allows…

机器学习 · 计算机科学 2025-11-03 Amin Omidvar

We propose Top-N-Rank, a novel family of list-wise Learning-to-Rank models for reliably recommending the N top-ranked items. The proposed models optimize a variant of the widely used discounted cumulative gain (DCG) objective function which…

信息检索 · 计算机科学 2018-12-20 Junjie Liang , Jinlong Hu , Shoubin Dong , Vasant Honavar

This paper introduces a novel architecture for reinforcement learning with deep neural networks designed to handle state and action spaces characterized by natural language, as found in text-based games. Termed a deep reinforcement…

人工智能 · 计算机科学 2016-06-09 Ji He , Jianshu Chen , Xiaodong He , Jianfeng Gao , Lihong Li , Li Deng , Mari Ostendorf

The most widely used activation functions in current deep feed-forward neural networks are rectified linear units (ReLU), and many alternatives have been successfully applied, as well. However, none of the alternatives have managed to…

机器学习 · 计算机科学 2018-06-27 Leon René Sütfeld , Flemming Brieger , Holger Finger , Sonja Füllhase , Gordon Pipa

The efficacy of deep learning models has been called into question by the presence of adversarial examples. Addressing the vulnerability of deep learning models to adversarial examples is crucial for ensuring their continued development and…

机器学习 · 计算机科学 2024-05-08 Korn Sooksatra , Greg Hamerly , Pablo Rivas

We study expressive power of shallow and deep neural networks with piece-wise linear activation functions. We establish new rigorous upper and lower bounds for the network complexity in the setting of approximations in Sobolev spaces. In…

机器学习 · 计算机科学 2017-05-02 Dmitry Yarotsky

Researchers have proposed various activation functions. These activation functions help the deep network to learn non-linear behavior with a significant effect on training dynamics and task performance. The performance of these activations…

计算机视觉与模式识别 · 计算机科学 2020-01-07 Pravendra Singh , Munender Varshney , Vinay P. Namboodiri

The Rectified Power Unit (RePU) activation function, a differentiable generalization of the Rectified Linear Unit (ReLU), has shown promise in constructing neural networks due to its smoothness properties. However, deep RePU networks often…

机器学习 · 计算机科学 2026-02-10 Taeyoung Kim , Myungjoo Kang

We propose a learning architecture that allows symbolic control and guidance in reinforcement learning with deep neural networks. We introduce SymDQN, a novel modular approach that augments the existing Dueling Deep Q-Networks (DuelDQN)…

人工智能 · 计算机科学 2025-04-04 Ivo Amador , Nina Gierasimczuk

Most deep reinforcement learning (RL) algorithms distill experience into parametric behavior policies or value functions via gradient updates. While effective, this approach has several disadvantages: (1) it is computationally expensive,…

A wide variety of activation functions have been proposed for neural networks. The Rectified Linear Unit (ReLU) is especially popular today. There are many practical reasons that motivate the use of the ReLU. This paper provides new…

机器学习 · 统计学 2020-10-19 Rahul Parhi , Robert D. Nowak

We study ReLU deep neural networks (DNNs) by investigating their connections with the hierarchical basis method in finite element methods. First, we show that the approximation schemes of ReLU DNNs for $x^2$ and $xy$ are composition…

数值分析 · 数学 2022-08-09 Juncai He , Lin Li , Jinchao Xu

The weight initialization and the activation function of deep neural networks have a crucial impact on the performance of the training procedure. An inappropriate selection can lead to the loss of information of the input during forward…

机器学习 · 统计学 2018-10-09 Soufiane Hayou , Arnaud Doucet , Judith Rousseau

As modern deep learning architectures grow in complexity, representational ambiguity emerges as a critical barrier to their interpretability and reliable merging. For ReLU networks, identical functional mappings can be achieved through…

机器学习 · 计算机科学 2026-04-21 Kutomanov Hennadii

We study the approximation of the median of $d$ inputs using ReLU neural networks. We present depth-width tradeoffs under several settings, culminating in a constant-depth, linear-width construction that achieves exponentially small…

机器学习 · 计算机科学 2026-02-10 Abhigyan Dutta , Itay Safran , Paul Valiant

This article concerns the expressive power of depth in deep feed-forward neural nets with ReLU activations. Specifically, we answer the following question: for a fixed $d_{in}\geq 1,$ what is the minimal width $w$ so that neural nets with…

机器学习 · 统计学 2018-03-13 Boris Hanin , Mark Sellke

Activation functions have come up as one of the essential components of neural networks. The choice of adequate activation function can impact the accuracy of these methods. In this study, we experiment for finding an optimal activation…

机器学习 · 计算机科学 2022-02-25 Vipul Bansal

Deep Q-learning Network (DQN) is a successful way which combines reinforcement learning with deep neural networks and leads to a widespread application of reinforcement learning. One challenging problem when applying DQN or other…

机器学习 · 计算机科学 2022-09-19 Zhe Zhang , Yukun Zou , Junjie Lai , Qing Xu

Activation functions (AFs) play a pivotal role in the performance of neural networks. The Rectified Linear Unit (ReLU) is currently the most commonly used AF. Several replacements to ReLU have been suggested but improvements have proven…

神经与进化计算 · 计算机科学 2022-06-27 Raz Lapid , Moshe Sipper

The nonlinearity of activation functions used in deep learning models are crucial for the success of predictive models. There are several commonly used simple nonlinear functions, including Rectified Linear Unit (ReLU) and Leaky-ReLU…