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Concept probing has recently gained popularity as a way for humans to peek into what is encoded within artificial neural networks. In concept probing, additional classifiers are trained to map the internal representations of a model into…

机器学习 · 计算机科学 2025-07-28 Manuel de Sousa Ribeiro , Afonso Leote , João Leite

Overparameterized shallow neural networks admit substantial parameter redundancy: distinct parameter vectors may represent the same predictor due to hidden-unit permutations, rescalings, and related symmetries. As a result, geometric…

机器学习 · 计算机科学 2026-03-24 Hang-Cheng Dong , Pengcheng Cheng

Predictive coding has emerged as an influential normative model of neural computation, with numerous extensions and applications. As such, much effort has been put into mapping PC faithfully onto the cortex, but there are issues that remain…

神经元与认知 · 定量生物学 2023-03-07 Siavash Golkar , Tiberiu Tesileanu , Yanis Bahroun , Anirvan M. Sengupta , Dmitri B. Chklovskii

Learning informative representations of data is one of the primary goals of deep learning, but there is still little understanding as to what representations a neural network actually learns. To better understand this, subspace match was…

机器学习 · 计算机科学 2019-01-07 Jeremiah Johnson

The fundamental idea of embedding a network in a metric space is rooted in the principle of proximity preservation. Nodes are mapped into points of the space with pairwise distance that reflects their proximity in the network. Popular…

物理与社会 · 物理学 2021-01-15 Yi-Jiao Zhang , Kai-Cheng Yang , Filippo Radicchi

Deep learning models develop successive representations of their input in sequential layers, the last of which maps the final representation to the output. Here we investigate the informational content of these representations by observing…

计算机视觉与模式识别 · 计算机科学 2023-02-28 Benjamin L. Badger

Why does Deep Learning work? What representations does it capture? How do higher-order representations emerge? We study these questions from the perspective of group theory, thereby opening a new approach towards a theory of Deep learning.…

机器学习 · 计算机科学 2015-04-22 Arnab Paul , Suresh Venkatasubramanian

Many patterns in nature exhibit self-similarity: they can be compactly described via self-referential transformations. Said patterns commonly appear in natural and artificial objects, such as molecules, shorelines, galaxies and even images.…

机器学习 · 计算机科学 2022-04-19 Michael Poli , Winnie Xu , Stefano Massaroli , Chenlin Meng , Kuno Kim , Stefano Ermon

Deep neural networks trained on a wide range of datasets demonstrate impressive transferability. Deep features appear general in that they are applicable to many datasets and tasks. Such property is in prevalent use in real-world…

机器学习 · 计算机科学 2019-09-27 Hong Liu , Mingsheng Long , Jianmin Wang , Michael I. Jordan

Neural models learn representations of high-dimensional data on low-dimensional manifolds. Multiple factors, including stochasticities in the training process, model architectures, and additional inductive biases, may induce different…

机器学习 · 计算机科学 2025-12-02 Hanlin Yu , Berfin Inal , Georgios Arvanitidis , Soren Hauberg , Francesco Locatello , Marco Fumero

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

机器学习 · 计算机科学 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

Symmetry is a fundamental tool in the exploration of a broad range of complex systems. In machine learning symmetry has been explored in both models and data. In this paper we seek to connect the symmetries arising from the architecture of…

机器学习 · 计算机科学 2023-03-27 Charles Godfrey , Davis Brown , Tegan Emerson , Henry Kvinge

Understanding internal representations of neural models is a core interest of mechanistic interpretability. Due to its large dimensionality, the representation space can encode various aspects about inputs. To what extent are different…

机器学习 · 计算机科学 2026-05-15 Xinting Huang , Michael Hahn

Understanding the operation of biological and artificial networks remains a difficult and important challenge. To identify general principles, researchers are increasingly interested in surveying large collections of networks that are…

机器学习 · 统计学 2022-01-14 Alex H. Williams , Erin Kunz , Simon Kornblith , Scott W. Linderman

Deep neural networks use multiple layers of functions to map an object represented by an input vector progressively to different representations, and with sufficient training, eventually to a single score for each class that is the output…

机器学习 · 计算机科学 2022-09-02 Tin Kam Ho

Deep metric learning (DML) is a cornerstone of many computer vision applications. It aims at learning a mapping from the input domain to an embedding space, where semantically similar objects are located nearby and dissimilar objects far…

计算机视觉与模式识别 · 计算机科学 2021-09-10 Artsiom Sanakoyeu , Pingchuan Ma , Vadim Tschernezki , Björn Ommer

The goal of this thesis is to improve our understanding of the internal mechanisms by which deep artificial neural networks create meaningful representations and are able to generalize. We focus on the challenge of characterizing the…

机器学习 · 计算机科学 2025-10-29 Diego Doimo

The emergence of explainability methods has enabled a better comprehension of how deep neural networks operate through concepts that are easily understood and implemented by the end user. While most explainability methods have been designed…

神经元与认知 · 定量生物学 2022-03-17 Fernanda L. Ribeiro , Steffen Bollmann , Ross Cunnington , Alexander M. Puckett

Why does Deep Learning work? What representations does it capture? How do higher-order representations emerge? We study these questions from the perspective of group theory, thereby opening a new approach towards a theory of Deep learning.…

机器学习 · 计算机科学 2015-03-03 Arnab Paul , Suresh Venkatasubramanian

Deep neural networks have been demonstrated to achieve phenomenal success in many domains, and yet their inner mechanisms are not well understood. In this paper, we investigate the curvature of image manifolds, i.e., the manifold deviation…

机器学习 · 计算机科学 2023-11-17 Ilya Kaufman , Omri Azencot
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