NTH
Research collection

Neural Networks research

Research on neural architectures, representations, and learning dynamics. Explore evidence about how network design affects capabilities and efficiency.

22 papers · Latest edition September 29, 2026

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Three of the latest briefs in this collection. Read the evidence and the original papers alongside them.

All Neural Networks papers

Newest editions first.

02Neural Network

Retrieving Individual Stems from Music Mixtures with Slot Embeddings

David Braun, Junyi Fan, Pranay Manocha, Donald S. Williamson, Adam Finkelstein

Stembed lets music producers search for individual instrument sounds hidden inside a full song by representing the mixture as multiple searchable stem-like embeddings.

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03Neural Network

The Linear Representation Hypothesis Needs a Group Action

Louie Hong Yao, Yuhao Li, Shengchao Liu

This paper argues that claims about linear representations only become meaningful once we specify which transformations leave a representation essentially unchanged.

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05Neural Network

Learning Length-Extrapolatable Recurrent Models

Hanwen Jiang

The paper helps recurrent networks learn reliably far beyond the sequence lengths they saw during training by stabilizing how future errors credit earlier states.

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11Neural Network

The Spectral Neuron

Alex Shtoff

The Spectral Neuron replaces opaque nonlinearities with controllable eigenvalue-based functions, aiming to make expressive neural models more transparent and mathematically shapeable.

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13Neural Network

Exact Neural-Network Representations of the Motzkin States

Runde Zha, Yuntian Gu, Chaohui Fan, Jia-lin Chen, Hai-Jun Liao, Tao Xiang

This work shows how several neural-network architectures can exactly encode exotic Motzkin quantum states with entanglement patterns that conventional tensor networks struggle to represent.

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16Neural Network

On the Architectural Complexity of Neural Networks

Nicholas J. Cooper, François G. Meyer, Michael L. Roberts, Carlos Zapata-Carratalá, Lijun Chen, Danna Gurari

This paper gives a new theory for measuring how architecturally complex a neural network is and uses it to generate thousands of previously unexplored designs.

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18Neural Network

The Implicit Bias of Depth: From Neural Collapse to Softmax Codes

Connall Garrod, Jonathan P. Keating, Christos Thrampoulidis

This paper explains how depth alone can steer neural networks away from neural collapse and toward low-rank softmax-like solutions, revealing a new theoretical bias in training dynamics.

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21Neural Network

Holographic functions and neural networks

Balazs Szegedy

This paper shows that a function can be understood three equivalent ways: by how well it can be reconstructed from random samples, by a compact polynomial representation, or by a small neural network.

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