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We consider artificial neurons which will update their weight coefficients with an internal rule based on backpropagation, rather than using it as an external training procedure. To achieve this we include the backpropagation error estimate…

Neural and Evolutionary Computing · Computer Science 2018-08-07 M. N. Nazarov

Deep neural networks (DNNs) achieve remarkable performance on a wide range of tasks, yet their mathematical analysis remains fragmented: stability and generalization are typically studied in disparate frameworks and on a case-by-case basis.…

Machine Learning · Statistics 2026-01-29 Jonathan Vacher

We propose a generalization of transformer neural network architecture for arbitrary graphs. The original transformer was designed for Natural Language Processing (NLP), which operates on fully connected graphs representing all connections…

Machine Learning · Computer Science 2021-01-26 Vijay Prakash Dwivedi , Xavier Bresson

The widespread use of deep neural networks has achieved substantial success in many tasks. However, there still exists a huge gap between the operating mechanism of deep learning models and human-understandable decision making, so that…

Artificial Intelligence · Computer Science 2021-03-08 Xiaowei Zhou , Jie Yin , Ivor Tsang , Chen Wang

Computer vision can be understood as the ability to perform inference on image data. Breakthroughs in computer vision technology are often marked by advances in inference techniques. This thesis proposes novel inference schemes and…

Computer Vision and Pattern Recognition · Computer Science 2017-09-04 Varun Jampani

Advancements in parallel processing have lead to a surge in multilayer perceptrons' (MLP) applications and deep learning in the past decades. Recurrent Neural Networks (RNNs) give additional representational power to feedforward MLPs by…

Machine Learning · Statistics 2014-10-22 Saahil Ognawala , Justin Bayer

Despite progress across a broad range of applications, Transformers have limited success in systematic generalization. The situation is especially frustrating in the case of algorithmic tasks, where they often fail to find intuitive…

Machine Learning · Computer Science 2022-05-06 Róbert Csordás , Kazuki Irie , Jürgen Schmidhuber

Mathematical reasoning is one of the most impressive achievements of human intellect but remains a formidable challenge for artificial intelligence systems. In this work we explore whether modern deep learning architectures can learn to…

Machine Learning · Computer Science 2022-07-07 Samuel Cognolato , Alberto Testolin

With the increasing number of new neural architecture designs and substantial existing neural architectures, it becomes difficult for the researchers to situate their contributions compared with existing neural architectures or establish…

Artificial Intelligence · Computer Science 2024-03-19 Xiaohuan Pei , Yanxi Li , Minjing Dong , Chang Xu

Neural network models often generalize poorly to mismatched domains or distributions. In NLP, this issue arises in particular when models are expected to generalize compositionally, that is, to novel combinations of familiar words and…

Computation and Language · Computer Science 2021-11-10 Wang Zhu , Peter Shaw , Tal Linzen , Fei Sha

The predictive power of neural networks often costs model interpretability. Several techniques have been developed for explaining model outputs in terms of input features; however, it is difficult to translate such interpretations into…

Machine Learning · Computer Science 2017-08-17 Benjamin J. Lengerich , Sandeep Konam , Eric P. Xing , Stephanie Rosenthal , Manuela Veloso

Recurrent neural networks can learn complex transduction problems that require maintaining and actively exploiting a memory of their inputs. Such models traditionally consider memory and input-output functionalities indissolubly entangled.…

Machine Learning · Computer Science 2018-11-09 Davide Bacciu , Antonio Carta , Alessandro Sperduti

Recent advances in neural algorithmic reasoning with graph neural networks (GNNs) are propped up by the notion of algorithmic alignment. Broadly, a neural network will be better at learning to execute a reasoning task (in terms of sample…

Machine Learning · Computer Science 2022-10-12 Andrew Dudzik , Petar Veličković

In practice, deep neural networks are often able to easily interpolate their training data. To understand this phenomenon, many works have aimed to quantify the memorization capacity of a neural network architecture: the largest number of…

Machine Learning · Statistics 2024-12-09 Sjoerd Dirksen , Patrick Finke , Martin Genzel

Convolutional neural networks (CNNs) have shown exceptional performance for a range of medical imaging tasks. However, conventional CNNs are not able to explain their reasoning process, therefore limiting their adoption in clinical…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Linde S. Hesse , Ana I. L. Namburete

Recurrent neural networks (RNNs) have represented for years the state of the art in neural machine translation. Recently, new architectures have been proposed, which can leverage parallel computation on GPUs better than classical RNNs.…

Computation and Language · Computer Science 2018-05-14 Mattia Antonino Di Gangi , Marcello Federico

Neural networks have succeeded in many reasoning tasks. Empirically, these tasks require specialized network structures, e.g., Graph Neural Networks (GNNs) perform well on many such tasks, but less structured networks fail. Theoretically,…

Machine Learning · Computer Science 2020-02-18 Keyulu Xu , Jingling Li , Mozhi Zhang , Simon S. Du , Ken-ichi Kawarabayashi , Stefanie Jegelka

In this paper, we derive a neural network architecture based on an analytical formulation of the parallel-to-fan beam conversion problem following the concept of precision learning. The network allows to learn the unknown operators in this…

Computer Vision and Pattern Recognition · Computer Science 2018-10-24 Christopher Syben , Bernhard Stimpel , Jonathan Lommen , Tobias Würfl , Arnd Dörfler , Andreas Maier

Modern deep neural networks are powerful and widely applicable models that extract task-relevant information through multi-level abstraction. Their cross-domain success, however, is often achieved at the expense of computational cost, high…

Computer Vision and Pattern Recognition · Computer Science 2020-07-31 Wenhan Xia , Hongxu Yin , Xiaoliang Dai , Niraj K. Jha

Recurrent neural networks (RNNs) have long been an architecture of interest for computational models of human sentence processing. The recently introduced Transformer architecture outperforms RNNs on many natural language processing tasks…

Computation and Language · Computer Science 2022-03-31 Danny Merkx , Stefan L. Frank
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