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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…

Machine Learning · Computer Science 2026-04-28 Yuta Nakahara , Manabu Kobayashi , Toshiyasu Matsushima

Memoryless computation is a new technique to compute any function of a set of registers by updating one register at a time while using no memory. Its aim is to emulate how computations are performed in modern cores, since they typically…

Computational Complexity · Computer Science 2013-10-23 Peter J. Cameron , Ben Fairbairn , Maximilien Gadouleau

Differentiable neural computers extend artificial neural networks with an explicit memory without interference, thus enabling the model to perform classic computation tasks such as graph traversal. However, such models are difficult to…

Machine Learning · Computer Science 2022-06-06 Benjamin Paaßen , Alexander Schulz , Terrence C. Stewart , Barbara Hammer

Despite recent algorithmic advances, we still lack principled ways to leverage the well-documented rescaling symmetries in ReLU neural network parameters. While two properly rescaled weights implement the same function, the training…

Machine Learning · Statistics 2026-02-24 Arthur Lebeurrier , Titouan Vayer , Rémi Gribonval

Network pruning reduces the size of neural networks by removing (pruning) neurons such that the performance drop is minimal. Traditional pruning approaches focus on designing metrics to quantify the usefulness of a neuron which is often…

Computer Vision and Pattern Recognition · Computer Science 2021-11-01 Shehryar Malik , Muhammad Umair Haider , Omer Iqbal , Murtaza Taj

We study neural networks with trainable low-degree rational activation functions and show that they are more expressive and parameter-efficient than modern piecewise-linear and smooth activations such as ELU, LeakyReLU, LogSigmoid, PReLU,…

Machine Learning · Computer Science 2026-02-16 Maosen Tang , Alex Townsend

Deep learning neural networks have emerged as one of the most powerful classification tools for vision related applications. However, the computational and energy requirements associated with such deep nets can be quite high, and hence…

Computer Vision and Pattern Recognition · Computer Science 2016-01-29 Priyadarshini Panda , Abhronil Sengupta , Kaushik Roy

Neural networks based on metric recognition methods have a strictly determined architecture. Number of neurons, connections, as well as weights and thresholds values are calculated analytically, based on the initial conditions of tasks:…

Neural and Evolutionary Computing · Computer Science 2025-06-10 Polad Geidarov

Modularity has been widely studied as a mechanism to improve the capabilities of neural networks through various techniques such as hand-crafted modular architectures and automatic approaches. While these methods have sometimes shown…

Neural and Evolutionary Computing · Computer Science 2024-10-28 Humphrey Munn , Marcus Gallagher

In this work, we analyze the capabilities and practical limitations of neural networks (NNs) for sequence-based signal processing which can be seen as an omnipresent property in almost any modern communication systems. In particular, we…

Information Theory · Computer Science 2019-11-22 Daniel Tandler , Sebastian Dörner , Sebastian Cammerer , Stephan ten Brink

In order to give appropriate semantics to qualitative conditionals of the form "if A then normally B", ordinal conditional functions (OCFs) ranking the possible worlds according to their degree of plausibility can be used. An OCF accepting…

Artificial Intelligence · Computer Science 2011-08-31 Christoph Beierle , Gabriele Kern-Isberner , Karl Södler

It has been shown that neural network classifiers are not robust. This raises concerns about their usage in safety-critical systems. We propose in this paper a regularization scheme for ReLU networks which provably improves the robustness…

Machine Learning · Computer Science 2019-03-11 Francesco Croce , Maksym Andriushchenko , Matthias Hein

We present a neural framework for learning conditional optimal transport (OT) maps between probability distributions. Our approach introduces a conditioning mechanism capable of processing both categorical and continuous conditioning…

Machine Learning · Computer Science 2026-04-02 Carlos Rodriguez-Pardo , Leonardo Chiani , Emanuele Borgonovo , Massimo Tavoni

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…

Machine Learning · Computer Science 2019-05-08 I. Daubechies , R. DeVore , S. Foucart , B. Hanin , G. Petrova

During the last years, there has been a lot of interest in achieving some kind of complex reasoning using deep neural networks. To do that, models like Memory Networks (MemNNs) have combined external memory storages and attention…

Computation and Language · Computer Science 2018-05-25 Juan Pavez , Héctor Allende , Héctor Allende-Cid

Learning a task induces connectivity changes in neural circuits, thereby changing their dynamics. To elucidate task related neural dynamics we study trained Recurrent Neural Networks. We develop a Mean Field Theory for Reservoir Computing…

Neurons and Cognition · Quantitative Biology 2017-06-28 Alexander Rivkind , Omri Barak

Recurrent neural networks have shown excellent performance in many applications, however they require increased complexity in hardware or software based implementations. The hardware complexity can be much lowered by minimizing the…

Machine Learning · Computer Science 2016-09-28 Sungho Shin , Kyuyeon Hwang , Wonyong Sung

Recurrent neural networks (RNNs) provide state-of-the-art performance in processing sequential data but are memory intensive to train, limiting the flexibility of RNN models which can be trained. Reversible RNNs---RNNs for which the…

Machine Learning · Computer Science 2018-10-26 Matthew MacKay , Paul Vicol , Jimmy Ba , Roger Grosse

Despite remarkable successes achieved by modern neural networks in a wide range of applications, these networks perform best in domain-specific stationary environments where they are trained only once on large-scale controlled data…

Neural and Evolutionary Computing · Computer Science 2019-04-23 Pouya Bashivan , Martin Schrimpf , Robert Ajemian , Irina Rish , Matthew Riemer , Yuhai Tu

Building models of natural language processing (NLP) is challenging in low-resource scenarios where only limited data are available. Optimization-based meta-learning algorithms achieve promising results in low-resource scenarios by adapting…

Computation and Language · Computer Science 2022-07-15 Yingxiu Zhao , Zhiliang Tian , Huaxiu Yao , Yinhe Zheng , Dongkyu Lee , Yiping Song , Jian Sun , Nevin L. Zhang