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A main puzzle of deep neural networks (DNNs) revolves around the apparent absence of "overfitting", defined in this paper as follows: the expected error does not get worse when increasing the number of neurons or of iterations of gradient…

Machine Learning · Computer Science 2018-07-02 Tomaso Poggio , Qianli Liao , Brando Miranda , Andrzej Banburski , Xavier Boix , Jack Hidary

On account of its many successes in inference tasks and denoising applications, Dictionary Learning (DL) and its related sparse optimization problems have garnered a lot of research interest. While most solutions have focused on single…

Machine Learning · Computer Science 2020-10-22 Wen Tang , Emilie Chouzenoux , Jean-Christophe Pesquet , Hamid Krim

Neural networks are powerful function approximators, yet their ``black-box" nature often renders them opaque and difficult to interpret. While many post-hoc explanation methods exist, they typically fail to capture the underlying reasoning…

Machine Learning · Computer Science 2024-08-29 Nisal Ranasinghe , Yu Xia , Sachith Seneviratne , Saman Halgamuge

The remarkable performance of convolutional neural networks (CNNs) is entangled with their huge number of uninterpretable parameters, which has become the bottleneck limiting the exploitation of their full potential. Towards network…

Computer Vision and Pattern Recognition · Computer Science 2020-08-26 Yuchao Li , Rongrong Ji , Shaohui Lin , Baochang Zhang , Chenqian Yan , Yongjian Wu , Feiyue Huang , Ling Shao

To what extent is the success of deep visualization due to the training? Could we do deep visualization using untrained, random weight networks? To address this issue, we explore new and powerful generative models for three popular deep…

Computer Vision and Pattern Recognition · Computer Science 2016-06-17 Kun He , Yan Wang , John Hopcroft

It has been observed that message-passing graph neural networks (GNN) sometimes struggle to maintain a healthy balance between the efficient/scalable modeling of long-range dependencies across nodes while avoiding unintended consequences…

Machine Learning · Computer Science 2025-05-21 Yongyi Yang , Tang Liu , Yangkun Wang , Zengfeng Huang , David Wipf

Deep Neural Networks (DNNs) are analyzed via the theoretical framework of the information bottleneck (IB) principle. We first show that any DNN can be quantified by the mutual information between the layers and the input and output…

Machine Learning · Computer Science 2015-03-10 Naftali Tishby , Noga Zaslavsky

In this paper, we leverage a recent deep kernel representer theorem to connect kernel based learning and (deep) neural networks in order to understand their interplay. In particular, we show that the use of special types of kernels yields…

Machine Learning · Computer Science 2025-09-19 Tizian Wenzel , Gabriele Santin , Bernard Haasdonk

We introduce the Differentiable Weightless Neural Network (DWN), a model based on interconnected lookup tables. Training of DWNs is enabled by a novel Extended Finite Difference technique for approximate differentiation of binary values. We…

Deep neural networks (DNN) have achieved impressive success in multiple domains. Over the years, the accuracy of these models has increased with the proliferation of deeper and more complex architectures. Thus, state-of-the-art solutions…

Sound · Computer Science 2022-07-18 Anderson R. Avila , Khalil Bibi , Rui Heng Yang , Xinlin Li , Chao Xing , Xiao Chen

Deep neural networks (DNs) provide superhuman performance in numerous computer vision tasks, yet it remains unclear exactly which of a DN's units contribute to a particular decision. NeuroView is a new family of DN architectures that are…

Computer Vision and Pattern Recognition · Computer Science 2021-10-18 CJ Barberan , Randall Balestriero , Richard G. Baraniuk

Deep neural networks (DNNs) have achieved unprecedented performance on a wide range of complex tasks, rapidly outpacing our understanding of the nature of their solutions. This has caused a recent surge of interest in methods for rendering…

Machine Learning · Statistics 2017-06-30 Samuel Ritter , David G. T. Barrett , Adam Santoro , Matt M. Botvinick

Convolutional neural networks (CNNs) have been successfully used in a range of tasks. However, CNNs are often viewed as "black-box" and lack of interpretability. One main reason is due to the filter-class entanglement -- an intricate…

Computer Vision and Pattern Recognition · Computer Science 2021-07-02 Haoyu Liang , Zhihao Ouyang , Yuyuan Zeng , Hang Su , Zihao He , Shu-Tao Xia , Jun Zhu , Bo Zhang

Recurrent neural networks (RNNs) are powerful dynamical models, widely used in machine learning (ML) and neuroscience. Prior theoretical work has focused on RNNs with additive interactions. However, gating - i.e. multiplicative -…

Disordered Systems and Neural Networks · Physics 2021-12-02 Kamesh Krishnamurthy , Tankut Can , David J. Schwab

We theoretically discuss why deep neural networks (DNNs) performs better than other models in some cases by investigating statistical properties of DNNs for non-smooth functions. While DNNs have empirically shown higher performance than…

Machine Learning · Statistics 2018-07-10 Masaaki Imaizumi , Kenji Fukumizu

Understanding the per-layer learning dynamics of deep neural networks is of significant interest as it may provide insights into how neural networks learn and the potential for better training regimens. We investigate learning in Deep…

Machine Learning · Computer Science 2020-12-02 Ayush Manish Agrawal , Atharva Tendle , Harshvardhan Sikka , Sahib Singh , Amr Kayid

The capability of Deep Neural Networks (DNNs) to recognize objects in orientations outside the distribution of the training data is not well understood. We present evidence that DNNs are capable of generalizing to objects in novel…

Computer Vision and Pattern Recognition · Computer Science 2023-07-14 Avi Cooper , Xavier Boix , Daniel Harari , Spandan Madan , Hanspeter Pfister , Tomotake Sasaki , Pawan Sinha

What makes untrained deep neural networks (DNNs) different from the trained performant ones? By zooming into the weights in well-trained DNNs, we found it is the location of weights that hold most of the information encoded by the training.…

Machine Learning · Computer Science 2020-12-08 Yushi Qiu , Reiji Suda

We propose Dynamically Pruned Message Passing Networks (DPMPN) for large-scale knowledge graph reasoning. In contrast to existing models, embedding-based or path-based, we learn an input-dependent subgraph to explicitly model reasoning…

Artificial Intelligence · Computer Science 2020-04-09 Xiaoran Xu , Wei Feng , Yunsheng Jiang , Xiaohui Xie , Zhiqing Sun , Zhi-Hong Deng

Deep learning models for natural language processing (NLP) are inherently complex and often viewed as black box in nature. This paper develops an approach for interpreting convolutional neural networks for text classification problems by…

Computation and Language · Computer Science 2021-07-12 Wei Zhao , Rahul Singh , Tarun Joshi , Agus Sudjianto , Vijayan N. Nair