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Although statistical learning theory provides a robust framework to understand supervised learning, many theoretical aspects of deep learning remain unclear, in particular how different architectures may lead to inductive bias when trained…

机器学习 · 计算机科学 2024-03-27 Cédric Gerbelot , Avetik Karagulyan , Stefani Karp , Kavya Ravichandran , Menachem Stern , Nathan Srebro

The notion of implicit bias, or implicit regularization, has been suggested as a means to explain the surprising generalization ability of modern-days overparameterized learning algorithms. This notion refers to the tendency of the…

机器学习 · 计算机科学 2020-12-23 Assaf Dauber , Meir Feder , Tomer Koren , Roi Livni

Understanding the implicit bias of training algorithms is of crucial importance in order to explain the success of overparametrised neural networks. In this paper, we study the dynamics of stochastic gradient descent over diagonal linear…

机器学习 · 计算机科学 2021-12-08 Scott Pesme , Loucas Pillaud-Vivien , Nicolas Flammarion

Models are expected to engage in invariance learning, which involves distinguishing the core relations that remain consistent across varying environments to ensure the predictions are safe, robust and fair. While existing works consider…

机器学习 · 计算机科学 2025-03-11 Yang Xu , Yihong Gu , Cong Fang

Gradient-based deep-learning algorithms exhibit remarkable performance in practice, but it is not well-understood why they are able to generalize despite having more parameters than training examples. It is believed that implicit bias is a…

机器学习 · 计算机科学 2022-11-08 Gal Vardi

Machine learning (ML) may be oblivious to human bias but it is not immune to its perpetuation. Marginalisation and iniquitous group representation are often traceable in the very data used for training, and may be reflected or even enhanced…

机器学习 · 计算机科学 2024-12-02 Stefano Sarao Mannelli , Federica Gerace , Negar Rostamzadeh , Luca Saglietti

Predictive learning has emerged as a central paradigm for training models across diverse data domains and is increasingly viewed as a foundation for modern artificial intelligence. A common intuition for this success is that accurate…

机器学习 · 计算机科学 2026-05-06 Aviv Ratzon , Omri Barak

Inverse optimization is a powerful paradigm for learning preferences and restrictions that explain the behavior of a decision maker, based on a set of external signal and the corresponding decision pairs. However, most inverse optimization…

机器学习 · 计算机科学 2018-11-05 Chaosheng Dong , Yiran Chen , Bo Zeng

Most modern learning problems are over-parameterized, where the number of learnable parameters is much greater than the number of training data points. In this over-parameterized regime, the training loss typically has infinitely many…

机器学习 · 计算机科学 2025-06-23 Kanumuri Nithin Varma , Babak Hassibi

Implicit stochastic models, where the data-generation distribution is intractable but sampling is possible, are ubiquitous in the natural sciences. The models typically have free parameters that need to be inferred from data collected in…

机器学习 · 统计学 2020-08-17 Steven Kleinegesse , Michael U. Gutmann

A major problem in machine learning is that of inductive bias: how to choose a learner's hypothesis space so that it is large enough to contain a solution to the problem being learnt, yet small enough to ensure reliable generalization from…

人工智能 · 计算机科学 2011-06-02 J. Baxter

From CNNs to attention mechanisms, encoding inductive biases into neural networks has been a fruitful source of improvement in machine learning. Adding auxiliary losses to the main objective function is a general way of encoding biases that…

Using backward error analysis, we compute implicit training biases in multitask and continual learning settings for neural networks trained with stochastic gradient descent. In particular, we derive modified losses that are implicitly…

机器学习 · 统计学 2023-11-02 Benoit Dherin

Implicit bias induced by gradient-based algorithms is essential to the generalization of overparameterized models, yet its mechanisms can be subtle. This work leverages the Normalized Steepest Descent} (NSD) framework to investigate how…

机器学习 · 计算机科学 2026-03-25 Shengping Xie , Zekun Wu , Quan Chen , Kaixu Tang

Machine learning systems often acquire biases by leveraging undesired features in the data, impacting accuracy variably across different sub-populations. Current understanding of bias formation mostly focuses on the initial and final stages…

机器学习 · 计算机科学 2024-12-24 Anchit Jain , Rozhin Nobahari , Aristide Baratin , Stefano Sarao Mannelli

The problem of algorithmic bias in machine learning has gained a lot of attention in recent years due to its concrete and potentially hazardous implications in society. In much the same manner, biases can also alter modern industrial and…

机器学习 · 计算机科学 2022-10-11 Laurent Risser , Agustin Picard , Lucas Hervier , Jean-Michel Loubes

Decision analysis deals with modeling and enhancing decision processes. A principal challenge in improving behavior is in obtaining a transparent description of existing behavior in the first place. In this paper, we develop an expressive,…

机器学习 · 统计学 2023-10-31 Daniel Jarrett , Alihan Hüyük , Mihaela van der Schaar

Algorithmic approaches endow deep learning systems with implicit bias that helps them generalize even in over-parametrized settings. In this paper, we focus on understanding such a bias induced in learning through dropout, a popular…

机器学习 · 计算机科学 2018-06-27 Poorya Mianjy , Raman Arora , Rene Vidal

Understanding the implicit bias of training algorithms is of crucial importance in order to explain the success of overparametrised neural networks. In this paper, we study the role of the label noise in the training dynamics of a…

机器学习 · 统计学 2022-06-22 Loucas Pillaud-Vivien , Julien Reygner , Nicolas Flammarion

In deep learning, it is common to use more network parameters than training points. In such scenarioof over-parameterization, there are usually multiple networks that achieve zero training error so that thetraining algorithm induces an…

机器学习 · 计算机科学 2023-08-22 Hung-Hsu Chou , Carsten Gieshoff , Johannes Maly , Holger Rauhut
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