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Over repeat presentations of the same stimulus, sensory neurons show variable responses. This "noise" is typically correlated between pairs of cells, and a question with rich history in neuroscience is how these noise correlations impact…

Neurons and Cognition · Quantitative Biology 2015-06-16 Yu Hu , Joel Zylberberg , Eric Shea-Brown

State Space Models (SSMs) have recently emerged as efficient alternatives to Transformer-Based Models (TBMs) for long-sequence processing with linear scaling, yet how contextual information flows across layers in these architectures remains…

Computation and Language · Computer Science 2026-01-08 Nhat M. Hoang , Do Xuan Long , Cong-Duy Nguyen , Min-Yen Kan , Luu Anh Tuan

Identifying symmetries in data sets is generally difficult, but knowledge about them is crucial for efficient data handling. Here we present a method how neural networks can be used to identify symmetries. We make extensive use of the…

Computational Physics · Physics 2020-03-31 Sven Krippendorf , Marc Syvaeri

Synthetic data is becoming increasingly integral in data-scarce fields such as medical imaging, serving as a substitute for real data. However, its inherent statistical characteristics can significantly impact downstream tasks, potentially…

Computer Vision and Pattern Recognition · Computer Science 2024-12-23 Krishan Agyakari Raja Babu , Rachana Sathish , Mrunal Pattanaik , Rahul Venkataramani

Deep neural networks based on state space models (SSMs) are attracting significant attention in sequence modeling since their computational cost is much smaller than that of Transformers. While the capabilities of SSMs have been…

Machine Learning · Statistics 2025-03-06 Naoki Nishikawa , Taiji Suzuki

Presented is a novel methodology for determining representational structure, which builds upon the existing Spotlight Resonance method. This new tool is used to gain insight into how discrete representations can emerge and organise in…

Machine Learning · Computer Science 2026-01-27 George Bird

Robots exhibit a rich variety of symmetries arising from their mechanical structure and the properties of their tasks. Although many robotics problems exhibit several symmetries simultaneously, existing approaches typically treat them in…

Robotics · Computer Science 2026-05-22 Loizos Hadjiloizou , Rodrigo Pérez-Dattari , Noémie Jaquier

Numerosity perception is foundational to mathematical learning, but its computational bases are strongly debated. Some investigators argue that humans are endowed with a specialized system supporting numerical representation; others argue…

Computer Vision and Pattern Recognition · Computer Science 2019-07-17 Alberto Testolin , Serena Dolfi , Mathijs Rochus , Marco Zorzi

Neural language models (LMs) perform well on tasks that require sensitivity to syntactic structure. Drawing on the syntactic priming paradigm from psycholinguistics, we propose a novel technique to analyze the representations that enable…

Computation and Language · Computer Science 2019-09-25 Grusha Prasad , Marten van Schijndel , Tal Linzen

A central question in cognitive science is whether conceptual representations converge onto a shared manifold to support generalization, or diverge into orthogonal subspaces to minimize task interference. While prior work has discovered…

Computation and Language · Computer Science 2026-02-09 Zhimin Hu , Lanhao Niu , Sashank Varma

The emergence of a variety of graph-based meaning representations (MRs) has sparked an important conversation about how to adequately represent semantic structure. These MRs exhibit structural differences that reflect different theoretical…

Computation and Language · Computer Science 2020-05-01 Lucia Donatelli , Jonas Groschwitz , Alexander Koller , Matthias Lindemann , Pia Weißenhorn

The internal representations learned by deep networks are often sensitive to architecture-specific choices, raising questions about the stability, alignment, and transferability of learned structure across models. In this paper, we…

Machine Learning · Computer Science 2025-08-06 Saleh Nikooroo , Thomas Engel

Similarity analysis is one of the crucial steps in most fMRI studies. Representational Similarity Analysis (RSA) can measure similarities of neural signatures generated by different cognitive states. This paper develops Deep…

Image and Video Processing · Electrical Eng. & Systems 2020-10-06 Muhammad Yousefnezhad , Jeffrey Sawalha , Alessandro Selvitella , Daoqiang Zhang

Large language models (LLMs) exhibit strong general-purpose reasoning capabilities, yet they frequently hallucinate when used as world models (WMs), where strict compliance with deterministic transition rules--particularly in corner…

Computation and Language · Computer Science 2026-03-10 Hongyu Zhao , Siyu Zhou , Haolin Yang , Zengyi Qin , Tianyi Zhou

Multivariate analysis of fMRI data has benefited substantially from advances in machine learning. Most recently, a range of probabilistic latent variable models applied to fMRI data have been successful in a variety of tasks, including…

Activation-alignment measures such as Representational Similarity Analysis (RSA), Canonical Correlation Analysis (CCA), and Centered Kernel Alignment (CKA) are widely used to compare biological and artificial neural representations. Recent…

Machine Learning · Computer Science 2026-05-08 Amirhossein Yavari , Farnaz Zamani Esfahlani

We examine the influence of input data representations on learning complexity. For learning, we posit that each model implicitly uses a candidate model distribution for unexplained variations in the data, its noise model. If the model…

Machine Learning · Computer Science 2019-12-21 Julian Zilly , Lorenz Hetzel , Andrea Censi , Emilio Frazzoli

Parameter-space and function-space provide two different duality frames in which to study neural networks. We demonstrate that symmetries of network densities may be determined via dual computations of network correlation functions, even…

Machine Learning · Computer Science 2021-06-03 Anindita Maiti , Keegan Stoner , James Halverson

The spatial linear mixed model (SLMM) consists of fixed and spatial random effects that may be linearly dependent. Partially motivated as a means to address potential issues with confounding, the Restricted spatial regression (RSR) model…

Methodology · Statistics 2026-03-24 Jonathan R. Bradley

Recently, Neural Radiance Field (NeRF) has shown great success in rendering novel-view images of a given scene by learning an implicit representation with only posed RGB images. NeRF and relevant neural field methods (e.g., neural surface…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Zeke Xie , Xindi Yang , Yujie Yang , Qi Sun , Yixiang Jiang , Haoran Wang , Yunfeng Cai , Mingming Sun
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