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Not all learnable parameters (e.g., weights) contribute equally to a neural network's decision function. In fact, entire layers' parameters can sometimes be reset to random values with little to no impact on the model's decisions. We…

Computer Vision and Pattern Recognition · Computer Science 2024-10-21 Paul Gavrikov , Shashank Agnihotri , Margret Keuper , Janis Keuper

Neural networks have a number of shortcomings. Amongst the severest ones is the sensitivity to distribution shifts which allows models to be easily fooled into wrong predictions by small perturbations to inputs that are often imperceivable…

Computer Vision and Pattern Recognition · Computer Science 2023-03-23 Paul Gavrikov , Janis Keuper , Margret Keuper

Self-models have been a topic of great interest for decades in studies of human cognition and more recently in machine learning. Yet what benefits do self-models confer? Here we show that when artificial networks learn to predict their…

In the context of neural network models, overparametrization refers to the phenomena whereby these models appear to generalize well on the unseen data, even though the number of parameters significantly exceeds the sample sizes, and the…

Machine Learning · Statistics 2020-03-25 Matt Emschwiller , David Gamarnik , Eren C. Kızıldağ , Ilias Zadik

Successful deep learning models often involve training neural network architectures that contain more parameters than the number of training samples. Such overparametrized models have been extensively studied in recent years, and the…

Machine Learning · Computer Science 2024-02-02 Hamed Hassani , Adel Javanmard

An important characteristic of neural networks is their ability to learn representations of the input data with effective features for prediction, which is believed to be a key factor to their superior empirical performance. To better…

Machine Learning · Computer Science 2022-06-06 Zhenmei Shi , Junyi Wei , Yingyu Liang

Mechanistic interpretability aims to understand how neural networks generalize beyond their training data by reverse-engineering their internal structures. We introduce patterning as the dual problem: given a desired form of generalization,…

Machine Learning · Computer Science 2026-01-21 George Wang , Daniel Murfet

Despite the popularity and success of deep learning, there is limited understanding of when, how, and why neural networks generalize to unseen examples. Since learning can be seen as extracting information from data, we formally study…

Machine Learning · Computer Science 2023-06-29 Hrayr Harutyunyan

The relation between the input and output spaces of neural networks (NNs) is investigated to identify those characteristics of the input space that have a large influence on the output for a given task. For this purpose, the NN function is…

Data Analysis, Statistics and Probability · Physics 2018-10-16 Stefan Wunsch , Raphael Friese , Roger Wolf , Günter Quast

Neural networks are powerful models that solve a variety of complex real-world problems. However, the stochastic nature of training and large number of parameters in a typical neural model makes them difficult to evaluate via inspection.…

Machine Learning · Computer Science 2021-04-22 John Clemens

As neural networks become the tool of choice to solve an increasing variety of problems in our society, adversarial attacks become critical. The possibility of generating data instances deliberately designed to fool a network's analysis can…

Machine Learning · Computer Science 2021-03-19 Gabriel D. Cantareira , Rodrigo F. Mello , Fernando V. Paulovich

Although neural models have achieved impressive results on several NLP benchmarks, little is understood about the mechanisms they use to perform language tasks. Thus, much recent attention has been devoted to analyzing the sentence…

Computation and Language · Computer Science 2021-03-09 Abhilasha Ravichander , Yonatan Belinkov , Eduard Hovy

In this work, we study how well the learned weights of a neural network utilize the space available to them. This notion is related to capacity, but additionally incorporates the interaction of the network architecture with the dataset.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Isha Garg , Christian Koguchi , Eshan Verma , Daniel Ulbricht

Deep Neural Networks (DNNs) are prone to learning spurious features that correlate with the label during training but are irrelevant to the learning problem. This hurts model generalization and poses problems when deploying them in…

Machine Learning · Computer Science 2023-10-17 Nihal Murali , Aahlad Puli , Ke Yu , Rajesh Ranganath , Kayhan Batmanghelich

Intuitively, one would expect accuracy of a trained neural network's prediction on test samples to correlate with how densely the samples are surrounded by seen training samples in representation space. We find that a bound on empirical…

Machine Learning · Computer Science 2022-07-29 Xu Ji , Razvan Pascanu , Devon Hjelm , Balaji Lakshminarayanan , Andrea Vedaldi

Learning in neural networks critically hinges on the intricate geometry of the loss landscape associated with a given task. Traditionally, most research has focused on finding specific weight configurations that minimize the loss. In this…

Statistical Mechanics · Physics 2024-09-30 Margherita Mele , Roberto Menichetti , Alessandro Ingrosso , Raffaello Potestio

In this study, we systematically investigate the impact of class imbalance on classification performance of convolutional neural networks (CNNs) and compare frequently used methods to address the issue. Class imbalance is a common problem…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Mateusz Buda , Atsuto Maki , Maciej A. Mazurowski

We analyze the data-dependent capacity of neural networks and assess anomalies in inputs from the perspective of networks during inference. The notion of data-dependent capacity allows for analyzing the knowledge base of a model populated…

Machine Learning · Computer Science 2023-04-13 Jinsol Lee , Charlie Lehman , Mohit Prabhushankar , Ghassan AlRegib

This work presents a novel means for understanding learning dynamics and scaling relations in neural networks. We show that certain measures on the spectrum of the empirical neural tangent kernel, specifically entropy and trace, yield…

Machine Learning · Computer Science 2024-10-11 Samuel Tovey , Sven Krippendorf , Michael Spannowsky , Konstantin Nikolaou , Christian Holm

A recent line of work has established intriguing connections between the generalization/compression properties of a deep neural network (DNN) model and the so-called layer weights' stable ranks. Intuitively, the latter are indicators of the…

Machine Learning · Computer Science 2021-10-07 Bogdan Georgiev , Lukas Franken , Mayukh Mukherjee , Georgios Arvanitidis