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Universal Function Approximation by Deep Neural Nets with Bounded Width and ReLU Activations

9 August 2017

Papers citing "Universal Function Approximation by Deep Neural Nets with Bounded Width and ReLU Activations"

50 / 161 papers shown

Title
Achieve the Minimum Width of Neural Networks for Universal ApproximationInternational Conference on Learning Representations (ICLR), 2022 Yongqiang Cai 169 26 0 23 Sep 2022
ATLAS: Universal Function Approximator for Memory Retention H. V. Deventer Anna Sergeevna Bosman 139 0 0 10 Aug 2022
Algorithmic Determination of the Combinatorial Structure of the Linear Regions of ReLU Neural NetworksSIAM Journal on applied algebra and geometry (JSAAG), 2022 Marissa Masden 134 17 0 15 Jul 2022
Simultaneous approximation of a smooth function and its derivatives by deep neural networks with piecewise-polynomial activationsNeural Networks (NN), 2022 Denis Belomestny A. Naumov Nikita Puchkin S. Samsonov 136 33 0 20 Jun 2022
Rotate the ReLU to implicitly sparsify deep networks Nancy Nayak Sheetal Kalyani 55 0 0 01 Jun 2022
Why Robust Generalization in Deep Learning is Difficult: Perspective of Expressive PowerNeural Information Processing Systems (NeurIPS), 2022 Binghui Li Jikai Jin Han Zhong John E. Hopcroft Liwei Wang OOD 281 31 0 27 May 2022
Advanced Transient Diagnostic with Ensemble Digital Twin Modeling Edward Chen Linyu Lin Truc-Nam Dinh 62 4 0 23 May 2022
A Manifold Two-Sample Test Study: Integral Probability Metric with Neural NetworksInformation and Inference A Journal of the IMA (JIII), 2022 Jie Wang Minshuo Chen Tuo Zhao Wenjing Liao Yao Xie 198 8 0 04 May 2022
MultiAuto-DeepONet: A Multi-resolution Autoencoder DeepONet for Nonlinear Dimension Reduction, Uncertainty Quantification and Operator Learning of Forward and Inverse Stochastic Problems Jiahao Zhang Shiqi Zhang Guang Lin 222 17 0 07 Apr 2022
$Training Fully Connected Neural Networks is $\exists\mathbb{R}$-Complete$ Training Fully Connected Neural Networks is $\exists\mathbb{R}$ -CompleteNeural Information Processing Systems (NeurIPS), 2022 Daniel Bertschinger Christoph Hertrich Paul Jungeblut Tillmann Miltzow Simon Weber OffRL 302 35 0 04 Apr 2022
ES6D: A Computation Efficient and Symmetry-Aware 6D Pose Regression FrameworkComputer Vision and Pattern Recognition (CVPR), 2022 Ningkai Mo Wanshui Gan Xiangwei Zhu Shifeng Chen 218 34 0 03 Apr 2022
Qualitative neural network approximation over R and C: Elementary proofs for analytic and polynomial activation Josiah Park Stephan Wojtowytsch 180 3 0 25 Mar 2022
Bayesian Bilinear Neural Network for Predicting the Mid-price Dynamics in Limit-Order Book MarketsJournal of Forecasting (J. Forecast.), 2022 M. Magris M. Shabani Alexandros Iosifidis 167 14 0 07 Mar 2022
UncertaINR: Uncertainty Quantification of End-to-End Implicit Neural Representations for Computed Tomography Francisca Vasconcelos Bobby He Nalini Singh Yee Whye Teh BDL OOD UQCV 195 13 0 22 Feb 2022
The Role of Linear Layers in Nonlinear Interpolating Networks Greg Ongie Rebecca Willett 182 18 0 02 Feb 2022
Two Instances of Interpretable Neural Network for Universal Approximations Erico Tjoa G. Cuntai 109 2 0 30 Dec 2021
A singular Riemannian geometry approach to Deep Neural Networks I. Theoretical foundations A. Benfenati A. Marta 215 12 0 17 Dec 2021
Ensuring DNN Solution Feasibility for Optimization Problems with Convex Constraints and Its Application to DC Optimal Power Flow Problems Tianyu Zhao Xiang Pan Minghua Chen S. Low 303 10 0 15 Dec 2021
Tailored neural networks for learning optimal value functions in MPC Dieter Teichrib M. S. Darup 136 5 0 07 Dec 2021
Error Bounds for a Matrix-Vector Product Approximation with Deep ReLU Neural Networks T. Getu 190 2 0 25 Nov 2021
Finding Everything within Random Binary Networks Kartik K. Sreenivasan Shashank Rajput Jy-yong Sohn Dimitris Papailiopoulos 169 10 0 18 Oct 2021
Two-argument activation functions learn soft XOR operations like cortical neurons Kijung Yoon Emin Orhan Juhyeon Kim Xaq Pitkow MLT 209 0 0 13 Oct 2021
Multi-Head ReLU Implicit Neural Representation Networks Arya Aftab Alireza Morsali 158 13 0 07 Oct 2021
Characterizing Learning Dynamics of Deep Neural Networks via Complex Networks Emanuele La Malfa G. Malfa Giuseppe Nicosia Vito Latora 125 14 0 06 Oct 2021
Classifying Tweet Sentiment Using the Hidden State and Attention Matrix of a Fine-tuned BERTweet Model T. Macrì Freya Murphy Yunfan Zou Yves Zumbach 69 2 0 29 Sep 2021
A Sparse Coding Interpretation of Neural Networks and Theoretical Implications Joshua Bowren FAtt 213 1 0 14 Aug 2021
On minimal representations of shallow ReLU networksNeural Networks (NN), 2021 Steffen Dereich Sebastian Kassing FAtt 131 15 0 12 Aug 2021
Random Neural Networks in the Infinite Width Limit as Gaussian Processes Boris Hanin BDL 214 55 0 04 Jul 2021
Neural Network Layer Algebra: A Framework to Measure Capacity and Compression in Deep Learning Alberto Badías A. Banerjee 281 5 0 02 Jul 2021
Legendre Deep Neural Network (LDNN) and its application for approximation of nonlinear Volterra Fredholm Hammerstein integral equations Z. Hajimohammadi Kourosh Parand A. Ghodsi 121 8 0 27 Jun 2021
Universal Consistency of Deep Convolutional Neural Networks Shao-Bo Lin Kaidong Wang Yao Wang Ding-Xuan Zhou 160 23 0 23 Jun 2021
Bangla Natural Language Processing: A Comprehensive Analysis of Classical, Machine Learning, and Deep Learning Based MethodsIEEE Access (IEEE Access), 2021 Ovishake Sen Mohtasim Fuad Md. Nazrul Islam Jakaria Rabbi Mehedi Masud ... Md. Abdul Awal Awal Ahmed Fime Md. Tahmid Hasan Fuad Delowar Sikder Md. Akil Raihan Iftee 320 52 0 31 May 2021
Towards Lower Bounds on the Depth of ReLU Neural NetworksNeural Information Processing Systems (NeurIPS), 2021 Christoph Hertrich A. Basu M. D. Summa M. Skutella 515 54 0 31 May 2021
Model reduction in acoustic inversion by artificial neural networkJournal of the Acoustical Society of America (JASA), 2021 Janne Koponen T. Lähivaara J. Kaipio M. Vauhkonen 129 8 0 05 May 2021
Augmenting Deep Classifiers with Polynomial Neural NetworksEuropean Conference on Computer Vision (ECCV), 2021 Grigorios G. Chrysos Markos Georgopoulos Jiankang Deng Jean Kossaifi Yannis Panagakis Anima Anandkumar 139 25 0 16 Apr 2021
Universal Approximation of Residual Flows in Maximum Mean Discrepancy Zhifeng Kong Kamalika Chaudhuri UQCV 125 6 0 10 Mar 2021
Non-asymptotic approximations of neural networks by Gaussian processesAnnual Conference Computational Learning Theory (COLT), 2021 Ronen Eldan Dan Mikulincer T. Schramm 243 24 0 17 Feb 2021
ReLU Neural Networks of Polynomial Size for Exact Maximum Flow ComputationConference on Integer Programming and Combinatorial Optimization (IPCO), 2021 Christoph Hertrich Leon Sering 294 13 0 12 Feb 2021
Explaining Natural Language Processing Classifiers with Occlusion and Language Modeling David Harbecke AAML 192 2 0 28 Jan 2021
Mathematical Models of Overparameterized Neural NetworksProceedings of the IEEE (Proc. IEEE), 2020 Cong Fang Hanze Dong Tong Zhang 269 25 0 27 Dec 2020
Approximation of BV functions by neural networks: A regularity theory approachAnalysis and Applications (Anal. Appl.), 2020 B. Avelin Vesa Julin 82 3 0 15 Dec 2020
A General Computational Framework to Measure the Expressiveness of Complex Networks Using a Tighter Upper Bound of Linear Regions Yutong Xie Gaoxiang Chen Shijie Zhao 129 3 0 08 Dec 2020
On the application of Physically-Guided Neural Networks with Internal Variables to Continuum Problems J. Ayensa-Jiménez M. H. Doweidar J. A. Sanz-Herrera Manuel Doblaré 116 2 0 23 Nov 2020
A global universality of two-layer neural networks with ReLU activationsJournal of Function Spaces (JFS), 2020 N. Hatano Masahiro Ikeda Isao Ishikawa Y. Sawano 45 5 0 20 Nov 2020
Identification of state functions by physically-guided neural networks with physically-meaningful internal layers J. Ayensa-Jiménez M. H. Doweidar J. A. Sanz-Herrera Manuel Doblaré PINN 99 1 0 17 Nov 2020
Topological properties of basins of attraction and expressiveness of width bounded neural networks H. Beise S. Cruz 277 0 0 10 Nov 2020
Reliable Off-policy Evaluation for Reinforcement Learning Jie Wang Rui Gao H. Zha OffRL 333 13 0 08 Nov 2020
Deep Learning for Individual Heterogeneity M. Farrell Tengyuan Liang S. Misra BDL 355 17 0 28 Oct 2020
Towards Reflectivity profile inversion through Artificial Neural Networks J. M. Carmona Loaiza Zamaan Raza 82 11 0 15 Oct 2020
Scheduling and Power Control for Wireless Multicast Systems via Deep Reinforcement Learning R. Raghu M. Panju Vaneet Aggarwal V. Sharma 127 6 0 27 Sep 2020