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The generalization mystery in deep learning is the following: Why do over-parameterized neural networks trained with gradient descent (GD) generalize well on real datasets even though they are capable of fitting random datasets of…

机器学习 · 计算机科学 2022-06-07 Satrajit Chatterjee , Piotr Zielinski

A widely believed explanation for the remarkable generalization capacities of overparameterized neural networks is that the optimization algorithms used for training induce an implicit bias towards benign solutions. To grasp this…

机器学习 · 计算机科学 2025-12-19 Maria Matveev , Vit Fojtik , Hung-Hsu Chou , Gitta Kutyniok , Johannes Maly

Rapidly learning abstract concepts from limited examples is a hallmark of human intelligence. This work investigates whether gradient-based meta-learning can equip neural networks with inductive biases for efficient few-shot acquisition of…

机器学习 · 计算机科学 2025-11-06 Max Gupta

As large language models (LLMs) become increasingly advanced, their ability to exhibit compositional generalization -- the capacity to combine learned skills in novel ways not encountered during training -- has garnered significant…

计算与语言 · 计算机科学 2025-01-22 Haoyu Zhao , Simran Kaur , Dingli Yu , Anirudh Goyal , Sanjeev Arora

Transformers trained on natural language data have been shown to learn its hierarchical structure and generalize to sentences with unseen syntactic structures without explicitly encoding any structural bias. In this work, we investigate…

计算与语言 · 计算机科学 2025-03-18 Kabir Ahuja , Vidhisha Balachandran , Madhur Panwar , Tianxing He , Noah A. Smith , Navin Goyal , Yulia Tsvetkov

Generalization across domains requires stable structure that links the source and target distributions. Building on causal transportability theory, we study a sequential prediction setting in which the target predictor can be represented as…

机器学习 · 计算机科学 2026-05-28 Kasra Jalaldoust , Elias Bareinboim

Convolutional neural networks (CNNs) have shown great success in computer vision, approaching human-level performance when trained for specific tasks via application-specific loss functions. In this paper, we propose a method for augmenting…

计算机视觉与模式识别 · 计算机科学 2017-06-15 Austin Stone , Huayan Wang , Michael Stark , Yi Liu , D. Scott Phoenix , Dileep George

We consider the problem of data classification where the training set consists of just a few data points. We explore this phenomenon mathematically and reveal key relationships between the geometry of an AI model's feature space, the…

机器学习 · 计算机科学 2022-11-08 Oliver J. Sutton , Alexander N. Gorban , Ivan Y. Tyukin

Neural architectures tend to fit their data with relatively simple functions. This "simplicity bias" is widely regarded as key to their success. This paper explores the limits of this principle. Building on recent findings that the…

机器学习 · 计算机科学 2025-03-14 Damien Teney , Liangze Jiang , Florin Gogianu , Ehsan Abbasnejad

Simplicial complexes are generalized network structures able to encode interactions occurring between more than two nodes. Simplicial complexes describe a large variety of complex interacting systems ranging from brain networks, to social…

物理与社会 · 物理学 2016-06-22 Owen T. Courtney , Ginestra Bianconi

Neural networks trained with gradient descent often learn solutions of increasing complexity over time, a phenomenon known as simplicity bias. Despite being widely observed across architectures, existing theoretical treatments lack a…

机器学习 · 计算机科学 2026-03-12 Yedi Zhang , Andrew Saxe , Peter E. Latham

Humans can learn languages from remarkably little experience. Developing computational models that explain this ability has been a major challenge in cognitive science. Bayesian models that build in strong inductive biases - factors that…

计算与语言 · 计算机科学 2023-05-25 R. Thomas McCoy , Thomas L. Griffiths

Multimodal learning has mainly focused on learning large models on, and fusing feature representations from, different modalities for better performances on downstream tasks. In this work, we take a detour from this trend and study the…

计算机视觉与模式识别 · 计算机科学 2023-05-08 Yifeng Shi , Marc Niethammer

Modern deep neural networks are highly over-parameterized compared to the data on which they are trained, yet they often generalize remarkably well. A flurry of recent work has asked: why do deep networks not overfit to their training data?…

机器学习 · 计算机科学 2023-03-24 Minyoung Huh , Hossein Mobahi , Richard Zhang , Brian Cheung , Pulkit Agrawal , Phillip Isola

In many Natural Language Processing applications, neural networks have been found to fail to generalize on out-of-distribution examples. In particular, several recent semantic parsing datasets have put forward important limitations of…

计算与语言 · 计算机科学 2023-10-24 Alban Petit , Caio Corro , François Yvon

An intriguing phenomenon observed during training neural networks is the spectral bias, which states that neural networks are biased towards learning less complex functions. The priority of learning functions with low complexity might be at…

机器学习 · 计算机科学 2020-10-06 Yuan Cao , Zhiying Fang , Yue Wu , Ding-Xuan Zhou , Quanquan Gu

The distributional simplicity bias (DSB) posits that neural networks learn low-order moments of the data distribution first, before moving on to higher-order correlations. In this work, we present compelling new evidence for the DSB by…

机器学习 · 计算机科学 2024-10-10 Nora Belrose , Quintin Pope , Lucia Quirke , Alex Mallen , Xiaoli Fern

The power of neural networks lies in their ability to generalize to unseen data, yet the underlying reasons for this phenomenon remain elusive. Numerous rigorous attempts have been made to explain generalization, but available bounds are…

机器学习 · 计算机科学 2021-11-17 W. Ronny Huang , Zeyad Emam , Micah Goldblum , Liam Fowl , J. K. Terry , Furong Huang , Tom Goldstein

Neural networks often learn simple explanations that fit the majority of the data while memorizing exceptions that deviate from these explanations.This behavior leads to poor generalization when the learned explanations rely on spurious…

机器学习 · 计算机科学 2024-12-11 Reza Bayat , Mohammad Pezeshki , Elvis Dohmatob , David Lopez-Paz , Pascal Vincent

We consider the construction of neural network architectures for data on simplicial complexes. In studying maps on the chain complex of a simplicial complex, we define three desirable properties of a simplicial neural network architecture:…

机器学习 · 计算机科学 2021-06-08 T. Mitchell Roddenberry , Nicholas Glaze , Santiago Segarra