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Graph Neural Networks (GNNs) have become the standard method for learning from networks across fields ranging from biology to social systems, yet a principled understanding of what enables them to extract meaningful representations, or why…

Machine Learning · Statistics 2026-03-19 Nil Ayday , Mahalakshmi Sabanayagam , Debarghya Ghoshdastidar

Training a deep neural network (DNN) often involves stochastic optimization, which means each run will produce a different model. Several works suggest this variability is negligible when models have the same performance, which in the case…

Machine Learning · Statistics 2023-10-03 Sinjini Banerjee , Reilly Cannon , Tim Marrinan , Tony Chiang , Anand D. Sarwate

Several metrics exist to quantify the similarity between images, but they are inefficient when it comes to measure the similarity of highly distorted images. In this work, we propose to empirically investigate perceptual metrics based on…

Computer Vision and Pattern Recognition · Computer Science 2022-02-18 Rémi Kazmierczak , Gianni Franchi , Nacim Belkhir , Antoine Manzanera , David Filliat

Deep neural networks have achieved impressive performance on a variety of tasks, but their brittleness to distributional shifts remains a significant barrier to real-world deployment. In this paper, we propose a framework to analyse and…

Machine Learning · Computer Science 2026-05-21 Divij Khaitan , Subhashis Banerjee

Measuring similarity in urban spatial networks is key to understanding cities as complex systems. Yet most existing methods are not tailored for spatial networks and struggle to differentiate them effectively. We propose GCA-Sim, a…

Social and Information Networks · Computer Science 2025-11-04 Peiru Wu , Maojun Zhai , Lingzhu Zhang

Deep networks learn internal representations whose geometry--how features bend, rotate, and evolve--affects both generalization and robustness. Existing similarity measures such as CKA or SVCCA capture pointwise overlap between activation…

Machine Learning · Computer Science 2026-01-30 Vasileios Sevetlidis , George Pavlidis

There is an ongoing and dedicated effort to estimate bounds on the generalization error of deep learning models, coupled with an increasing interest with practical metrics that can be used to experimentally evaluate a model's ability to…

Machine Learning · Computer Science 2024-09-04 Mengqing Huang , Hongchuan Yu , Jianjun Zhang

We propose a new technique, Singular Vector Canonical Correlation Analysis (SVCCA), a tool for quickly comparing two representations in a way that is both invariant to affine transform (allowing comparison between different layers and…

Machine Learning · Statistics 2017-11-09 Maithra Raghu , Justin Gilmer , Jason Yosinski , Jascha Sohl-Dickstein

When can we say that two neural systems perform a task in the same way? What nuances do we miss when we fail to causally probe the representations of the systems, and how do we establish bidirectional causal relationships? In this work, we…

Machine Learning · Computer Science 2025-11-04 Satchel Grant

A good deal of current research in complex networks involves the characterization and/or classification of the topological properties of given structures, which has motivated several respective measurements. This letter proposes a framework…

Physics and Society · Physics 2016-07-26 Cesar H. Comin , Filipi N. Silva , Luciano da F. Costa

Contrastive approaches to representation learning have recently shown great promise. In contrast to generative approaches, these contrastive models learn a deterministic encoder with no notion of uncertainty or confidence. In this paper, we…

Machine Learning · Computer Science 2020-10-06 Mike Wu , Noah Goodman

Statistical inference is central to many scientific endeavors, yet how it works remains unresolved. Answering this requires a quantitative understanding of the intrinsic interplay between statistical models, inference methods and data…

Human interlocutors tend to engage in adaptive behavior known as entrainment to become more similar to each other. Isolating the effect of consistency, i.e., speakers adhering to their individual styles, is a critical part of the analysis…

Computation and Language · Computer Science 2020-11-04 Andreas Weise , Rivka Levitan

As shown in recent research, deep neural networks can perfectly fit randomly labeled data, but with very poor accuracy on held out data. This phenomenon indicates that loss functions such as cross-entropy are not a reliable indicator of…

Machine Learning · Statistics 2019-06-13 Yiding Jiang , Dilip Krishnan , Hossein Mobahi , Samy Bengio

Neural models, with their ability to provide novel representations, have shown promising results in prediction tasks in healthcare. However, patient demographics, medical technology, and quality of care change over time. This often leads to…

Machine Learning · Computer Science 2022-12-02 Miguel Rios , Ameen Abu-Hanna

This paper investigates domain generalization: How to take knowledge acquired from an arbitrary number of related domains and apply it to previously unseen domains? We propose Domain-Invariant Component Analysis (DICA), a kernel-based…

Machine Learning · Statistics 2013-01-11 Krikamol Muandet , David Balduzzi , Bernhard Schölkopf

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…

Machine Learning · Computer Science 2019-01-07 Jeremiah Johnson

In this position paper, we argue that many post-mortem generalization measures -- those computed on trained networks -- are \textbf{fragile}: small training modifications that barely affect the performance of the underlying deep neural…

Machine Learning · Computer Science 2026-02-12 Shuofeng Zhang , Ard Louis

Analogy is core to human cognition. It allows us to solve problems based on prior experience, it governs the way we conceptualize new information, and it even influences our visual perception. The importance of analogy to humans has made it…

Artificial Intelligence · Computer Science 2020-12-16 Maxwell Crouse , Constantine Nakos , Ibrahim Abdelaziz , Kenneth Forbus

Model checking is a key technique for verifying safety-critical systems against formal specifications, where recent applications of deep learning have shown promise. However, while ubiquitous for vision and language domains, representation…

Machine Learning · Computer Science 2025-10-07 Vladimir Krsmanovic , Matthias Cosler , Mohamed Ghanem , Bernd Finkbeiner