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Neural networks can approximate complex functions, but they struggle to perform exact arithmetic operations over real numbers. The lack of inductive bias for arithmetic operations leaves neural networks without the underlying logic…

神经与进化计算 · 计算机科学 2020-01-16 Andreas Madsen , Alexander Rosenberg Johansen

This article is concerned with the approximation and expressive powers of deep neural networks. This is an active research area currently producing many interesting papers. The results most commonly found in the literature prove that neural…

机器学习 · 计算机科学 2019-05-08 I. Daubechies , R. DeVore , S. Foucart , B. Hanin , G. Petrova

Non-linear neuron models overcomes the limitations of linear binary models of neurons that have the inability to compute linearly non-separable functions such as XOR. While several biologically plausible models based on dendrite thresholds…

新兴技术 · 计算机科学 2016-09-19 Askhat Zhanbossinov , Kamilya Smagulova , Alex Pappachen James

Deep neural networks, particularly those employing Rectified Linear Units (ReLU), are often perceived as complex, high-dimensional, non-linear systems. This complexity poses a significant challenge to understanding their internal learning…

机器学习 · 计算机科学 2025-11-11 Longqing Ye

Motivated by the resurgence of neural networks in being able to solve complex learning tasks we undertake a study of high depth networks using ReLU gates which implement the function $x \mapsto \max\{0,x\}$. We try to understand the role of…

计算复杂性 · 计算机科学 2017-11-10 Anirbit Mukherjee , Amitabh Basu

Most deep neural networks use simple, fixed activation functions, such as sigmoids or rectified linear units, regardless of domain or network structure. We introduce differential equation units (DEUs), an improvement to modern neural…

机器学习 · 计算机科学 2019-05-21 MohamadAli Torkamani , Phillip Wallis , Shiv Shankar , Amirmohammad Rooshenas

In this paper, we describe a design of a mixed signal circuit for a binary neuron (a.k.a perceptron, threshold logic gate) and a methodology for automatically embedding such cells in ASICs. The binary neuron, referred to as an FTL (flash…

新兴技术 · 计算机科学 2022-04-19 Ankit Wagle , Gian Singh , Sunil Khatri , Sarma Vrudhula

Neural networks often operate in the overparameterized regime, in which there are far more parameters than training samples, allowing the training data to be fit perfectly. That is, training the network effectively learns an interpolating…

机器学习 · 计算机科学 2025-03-19 Suzanna Parkinson , Greg Ongie , Rebecca Willett

Amongst others, the adoption of Rectified Linear Units (ReLUs) is regarded as one of the ingredients of the success of deep learning. ReLU activation has been shown to mitigate the vanishing gradient issue, to encourage sparsity in the…

机器学习 · 统计学 2021-10-14 Nicola Picchiotti , Marco Gori

Neural Tensor Networks (NTNs), which are structured to encode the degree of relationship among pairs of entities, are used in Logic Tensor Networks (LTNs) to facilitate Statistical Relational Learning (SRL) in first-order logic. In this…

机器学习 · 计算机科学 2020-10-07 Jinyung Hong , Theodore P. Pavlic

Spiking neural networks (SNNs) are artificial neural networks based on simulated biological neurons and have attracted much attention in recent artificial intelligence technology studies. The dendrites in biological neurons have efficient…

神经元与认知 · 定量生物学 2025-10-14 Wuque Cai , Hongze Sun , Jiayi He , Qianqian Liao , Yunliang Zang , Duo Chen , Dezhong Yao , Daqing Guo

The study of the expressive power of neural networks has investigated the fundamental limits of neural networks. Most existing results assume real-valued inputs and parameters as well as exact operations during the evaluation of neural…

机器学习 · 计算机科学 2024-07-17 Yeachan Park , Geonho Hwang , Wonyeol Lee , Sejun Park

Biological neurons are more powerful than artificial perceptrons, in part due to complex dendritic input computations. Inspired to empower the perceptron with biologically inspired features, we explore the effect of adding and tuning input…

神经与进化计算 · 计算机科学 2022-07-05 Ziwen Han , Evgeniya Gorobets , Pan Chen

Standard deep neural network inference involves the computation of interleaved linear maps and nonlinear activation functions. Prior work for ultra-low latency implementations has hardcoded these operations inside FPGA lookup tables (LUTs).…

机器学习 · 计算机科学 2025-01-15 Marta Andronic , Jiawen Li , George A. Constantinides

In this paper, we introduce the first machine learning framework for predicting optimal processing times in Single-Level Tree Network (SLTN) architectures for the Divisible Load Theory (DLT) paradigm. Using a feedforward neural network(FNN)…

机器学习 · 计算机科学 2026-05-25 Bharadwaj Veeravalli

With the advancement of deep learning, reducing computational complexity and memory consumption has become a critical challenge, and ternary neural networks (NNs) that restrict parameters to $\{-1, 0, +1\}$ have attracted attention as a…

机器学习 · 计算机科学 2026-04-28 Yuta Nakahara , Manabu Kobayashi , Toshiyasu Matsushima

Tables and table-based use cases play a crucial role in many important real-world applications, such as spreadsheets, databases, and computational notebooks, which traditionally require expert-level users like data engineers, data analysts,…

人工智能 · 计算机科学 2026-03-10 Junjie Xing , Yeye He , Mengyu Zhou , Haoyu Dong , Shi Han , Lingjiao Chen , Dongmei Zhang , Surajit Chaudhuri , H. V. Jagadish

The widely used ReLU is favored for its hardware efficiency, {as the implementation at inference is a one bit sign case,} yet suffers from issues such as the ``dying ReLU'' problem, where during training, neurons fail to activate and…

机器学习 · 计算机科学 2025-10-31 Moshe Kimhi , Idan Kashani , Avi Mendelson , Chaim Baskin

Successive linear transforms followed by nonlinear "activation" functions can approximate nonlinear functions to arbitrary precision given sufficient layers. The number of necessary layers is dependent on, in part, by the nature of the…

神经与进化计算 · 计算机科学 2018-09-26 Andrei Nicolae

In recent years, neural networks have enjoyed a renaissance as function approximators in reinforcement learning. Two decades after Tesauro's TD-Gammon achieved near top-level human performance in backgammon, the deep reinforcement learning…

机器学习 · 计算机科学 2017-11-03 Stefan Elfwing , Eiji Uchibe , Kenji Doya