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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

In this paper, we introduce the notion of liquid time-constant (LTC) recurrent neural networks (RNN)s, a subclass of continuous-time RNNs, with varying neuronal time-constant realized by their nonlinear synaptic transmission model. This…

Machine Learning · Computer Science 2018-11-02 Ramin M. Hasani , Mathias Lechner , Alexander Amini , Daniela Rus , Radu Grosu

Recent work has shown that recurrent neural networks (RNNs) can implicitly capture and exploit hierarchical information when trained to solve common natural language processing tasks such as language modeling (Linzen et al., 2016) and…

Computation and Language · Computer Science 2018-08-29 Ke Tran , Arianna Bisazza , Christof Monz

Even when massively overparameterized, deep neural networks show a remarkable ability to generalize. Research on this phenomenon has focused on generalization within distribution, via smooth interpolation. Yet in some settings neural…

Machine Learning · Computer Science 2025-08-07 Loek van Rossem , Andrew M. Saxe

In comparison to classical shallow representation learning techniques, deep neural networks have achieved superior performance in nearly every application benchmark. But despite their clear empirical advantages, it is still not well…

Machine Learning · Computer Science 2022-01-11 Calvin Murdock , George Cazenavette , Simon Lucey

Do neural network models of vision learn brain-aligned representations because they share architectural constraints and task objectives with biological vision or because they learn universal features of natural image processing? We…

Neurons and Cognition · Quantitative Biology 2024-12-30 Zirui Chen , Michael F. Bonner

What functions can Neural Processes represent? We analyze the representational capacity of popular NP architectures: Conditional Neural Processes (CNPs), Attentive Neural Processes (ANPs), Transformer Neural Processes (TNPs), and their…

Machine Learning · Computer Science 2026-05-26 Robin Young

The fields of neural computation and artificial neural networks have developed much in the last decades. Most of the works in these fields focus on implementing and/or learning discrete functions or behavior. However, technical, physical,…

Neural and Evolutionary Computing · Computer Science 2016-06-15 Frieder Stolzenburg , Florian Ruh

We investigate recurrent neural networks with asymmetric interactions and demonstrate that the inclusion of self-couplings or sparse excitatory inter-module connections leads to the emergence of a densely connected manifold of dynamically…

Disordered Systems and Neural Networks · Physics 2026-01-01 Davide Badalotti , Carlo Baldassi , Marc Mézard , Mattia Scardecchia , Riccardo Zecchina

In recent studies, linear recurrent neural networks (LRNNs) have achieved Transformer-level performance in natural language and long-range modeling, while offering rapid parallel training and constant inference cost. With the resurgence of…

Computation and Language · Computer Science 2024-04-10 Ting-Han Fan , Ta-Chung Chi , Alexander I. Rudnicky

This work proposes an algorithm for explicitly constructing a pair of neural networks that linearize and reconstruct an embedded submanifold, from finite samples of this manifold. Our such-generated neural networks, called Flattening…

Machine Learning · Computer Science 2023-09-11 Michael Psenka , Druv Pai , Vishal Raman , Shankar Sastry , Yi Ma

Task-based modeling with recurrent neural networks (RNNs) has emerged as a popular way to infer the computational function of different brain regions. These models are quantitatively assessed by comparing the low-dimensional neural…

Neurons and Cognition · Quantitative Biology 2019-12-06 Niru Maheswaranathan , Alex H. Williams , Matthew D. Golub , Surya Ganguli , David Sussillo

The ability to store and manipulate information is a hallmark of computational systems. Whereas computers are carefully engineered to represent and perform mathematical operations on structured data, neurobiological systems perform…

Disordered Systems and Neural Networks · Physics 2020-05-05 Jason Z. Kim , Zhixin Lu , Erfan Nozari , George J. Pappas , Danielle S. Bassett

Motivated by interpretability and reliability, we investigate whether large language models (LLMs) deploy universal geometric structures to encode discrete, graph-structured knowledge. To this end, we present two complementary experimental…

Machine Learning · Computer Science 2025-11-25 David D. Baek , Yuxiao Li , Max Tegmark

Deep neural networks with short residual connections have demonstrated remarkable success across domains, but increasing depth often introduces computational redundancy without corresponding improvements in representation quality. We…

Machine Learning · Computer Science 2025-11-10 Vaggelis Dorovatas , Georgios Paraskevopoulos , Alexandros Potamianos

The cornerstone of multilingual neural translation is shared representations across languages. Given the theoretically infinite representation power of neural networks, semantically identical sentences are likely represented differently.…

Computation and Language · Computer Science 2022-11-21 Danni Liu , Jan Niehues

Graphs are a commonly used construct for representing relationships between elements in complex high dimensional datasets. Many real-world phenomenon are dynamic in nature, meaning that any graph used to represent them is inherently…

Social and Information Networks · Computer Science 2018-11-21 Stephen Bonner , John Brennan , Ibad Kureshi , Georgios Theodoropoulos , Andrew Stephen McGough , Boguslaw Obara

One of the defining characteristics of human creativity is the ability to make conceptual leaps, creating something surprising from typical knowledge. In comparison, deep neural networks often struggle to handle cases outside of their…

Machine Learning · Computer Science 2018-09-10 Matthew Guzdial , Mark O. Riedl

This work explores hypernetworks: an approach of using a one network, also known as a hypernetwork, to generate the weights for another network. Hypernetworks provide an abstraction that is similar to what is found in nature: the…

Machine Learning · Computer Science 2016-12-02 David Ha , Andrew Dai , Quoc V. Le

Recurrent neural networks (RNNs) trained on low-dimensional tasks have been widely used to model functional biological networks. However, the solutions found by learning and the effect of initial connectivity are not well understood. Here,…

Neurons and Cognition · Quantitative Biology 2021-05-17 Friedrich Schuessler , Francesca Mastrogiuseppe , Alexis Dubreuil , Srdjan Ostojic , Omri Barak