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We extend the adaptive regression spline model by incorporating saturation, the natural requirement that a function extend as a constant outside a certain range. We fit saturating splines to data using a convex optimization problem over a…

Machine Learning · Statistics 2017-12-05 Nicholas Boyd , Trevor Hastie , Stephen Boyd , Benjamin Recht , Michael Jordan

Generalization to out-of-distribution (OOD) data is one of the central problems in modern machine learning. Recently, there is a surge of attempts to propose algorithms that mainly build upon the idea of extracting invariant features.…

Machine Learning · Computer Science 2021-11-09 Haotian Ye , Chuanlong Xie , Tianle Cai , Ruichen Li , Zhenguo Li , Liwei Wang

This paper presents a comprehensive evaluation of instance segmentation models with respect to real-world image corruptions as well as out-of-domain image collections, e.g. images captured by a different set-up than the training dataset.…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Yusuf Dalva , Hamza Pehlivan , Said Fahri Altindis , Aysegul Dundar

When approaching the semantic segmentation of overhead imagery in the decimeter spatial resolution range, successful strategies usually combine powerful methods to learn the visual appearance of the semantic classes (e.g. convolutional…

Computer Vision and Pattern Recognition · Computer Science 2018-08-24 Michele Volpi , Devis Tuia

Compositional generalization is a crucial property in artificial intelligence, enabling models to handle novel combinations of known components. While most deep learning models lack this capability, certain models succeed in specific tasks,…

Machine Learning · Computer Science 2025-05-06 Yuanpeng Li

For four decades statistical physics has been providing a framework to analyse neural networks. A long-standing question remained on its capacity to tackle deep learning models capturing rich feature learning effects, thus going beyond the…

Machine Learning · Statistics 2025-12-15 Jean Barbier , Francesco Camilli , Minh-Toan Nguyen , Mauro Pastore , Rudy Skerk

Convolutional Neural Networks (CNNs) significantly improve the state-of-the-art for many applications, especially in computer vision. However, CNNs still suffer from a tendency to confidently classify out-distribution samples from unknown…

Computer Vision and Pattern Recognition · Computer Science 2018-10-05 Mahdieh Abbasi , Arezoo Rajabi , Azadeh Sadat Mozafari , Rakesh B. Bobba , Christian Gagne

Despite the recent success of neural network models in mimicking animal performance on visual perceptual tasks, critics worry that these models fail to illuminate brain function. We take it that a central approach to explanation in systems…

Neurons and Cognition · Quantitative Biology 2021-04-13 Rosa Cao , Daniel Yamins

In this paper, we consider the problem of binary classification with a class of general deep convolutional neural networks, which includes fully-connected neural networks and fully convolutional neural networks as special cases. We…

Machine Learning · Computer Science 2021-05-04 Guohao Shen , Yuling Jiao , Yuanyuan Lin , Jian Huang

Human vision models are at the core of image processing. For instance, classical approaches to the problem of image quality are based on models that include knowledge about human vision. However, nowadays, deep learning approaches have…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Jorge Vila-Tomás , Pablo Hernández-Cámara , Valero Laparra , Jesús Malo

In recent years, great progress has been made in a variety of application domains thanks to the development of increasingly deeper neural networks. Unfortunately, the huge number of units of these networks makes them expensive both…

Computer Vision and Pattern Recognition · Computer Science 2018-10-12 Jose M. Alvarez , Mathieu Salzmann

In Programming by Demonstration, the robot learns novel skills from human demonstrations. After learning, the robot should be able not only to reproduce the skill, but also to generalize it to shifted domains without collecting new training…

Robotics · Computer Science 2023-11-07 Hector Perez-Villeda , Justus Piater , Matteo Saveriano

Probabilistic models are a critical part of the modern deep learning toolbox - ranging from generative models (VAEs, GANs), sequence to sequence models used in machine translation and speech processing to models over functional spaces…

Machine Learning · Computer Science 2018-12-10 Krishnamurthy Dvijotham , Marta Garnelo , Alhussein Fawzi , Pushmeet Kohli

Understanding how agents learn to generalize -- and, in particular, to extrapolate -- in high-dimensional, naturalistic environments remains a challenge for both machine learning and the study of biological agents. One approach to this has…

Machine Learning · Computer Science 2021-06-15 Simon N. Segert , Jonathan D. Cohen

Extrapolation is defined as making predictions beyond the range of the data used to estimate a statistical model. In ecological studies, it is not always obvious when and where extrapolation occurs because of the multivariate nature of the…

Applications · Statistics 2019-12-09 Meridith L Bartley , Ephraim M Hanks , Erin M Schliep , Patricia A Soranno , Tyler Wagner

The robust generalization of models to rare, in-distribution (ID) samples drawn from the long tail of the training distribution and to out-of-training-distribution (OOD) samples is one of the major challenges of current deep learning…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Paul Gavrikov , Janis Keuper

Large-scale transformers achieve impressive results on program synthesis benchmarks, yet their true generalization capabilities remain obscured by data contamination and opaque training corpora. To rigorously assess whether models are truly…

Machine Learning · Computer Science 2026-05-01 Henrik Voigt , Michael Habeck , Joachim Giesen

In statistical setting of the pattern recognition problem the number of examples required to approximate an unknown labelling function is linear in the VC dimension of the target learning class. In this work we consider the question whether…

Machine Learning · Computer Science 2016-06-27 Daniil Ryabko

In the field of computer vision, fine-tuning pre-trained models has become a prevalent strategy for out-of-distribution (OOD) generalization tasks. Different from most prior work that has focused on advancing learning algorithms, we…

Machine Learning · Computer Science 2025-04-29 Hiroki Naganuma , Ryuichiro Hataya , Kotaro Yoshida , Ioannis Mitliagkas

Recent studies show that a reproducing kernel Hilbert space (RKHS) is not a suitable space to model functions by neural networks as the curse of dimensionality (CoD) cannot be evaded when trying to approximate even a single ReLU neuron…

Machine Learning · Statistics 2024-06-27 Fanghui Liu , Leello Dadi , Volkan Cevher