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Loss functions are at the heart of deep learning, shaping how models learn and perform across diverse tasks. They are used to quantify the difference between predicted outputs and ground truth labels, guiding the optimization process to…

We present a novel algorithm for parameter learning in generic deep generative models that builds upon the predictive coding (PC) framework of computational neuroscience. Our approach modifies the standard PC algorithm to bring performance…

机器学习 · 计算机科学 2024-11-19 Umais Zahid , Qinghai Guo , Zafeirios Fountas

While there are many works on the applications of machine learning, not so many of them are trying to understand the theoretical justifications to explain their efficiency. In this work, overfitting control (or generalization property) in…

机器学习 · 计算机科学 2024-12-17 Sergei V. Kozyrev , Ilya A Lopatin , Alexander N Pechen

Generalization performance is a key metric in evaluating machine learning models when applied to real-world applications. Good generalization indicates the model can predict unseen data correctly when trained under a limited number of data.…

机器学习 · 计算机科学 2023-06-07 Zhenyu Sun , Xiaochun Niu , Ermin Wei

We consider the problem of calculating learning curves (i.e., average generalization performance) of Gaussian processes used for regression. On the basis of a simple expression for the generalization error, in terms of the eigenvalue…

无序系统与神经网络 · 物理学 2007-05-23 Peter Sollich , Anason Halees

Vision-Language Models (VLMs) perform well on multimodal benchmarks but lag behind humans and specialized models on visual perception tasks like depth estimation or object counting. Finetuning on one task can unpredictably affect…

计算机视觉与模式识别 · 计算机科学 2026-04-10 Bhuvan Sachdeva , Karan Uppal , Abhinav Java , Vineeth N. Balasubramanian

Symbolic regression algorithms search a space of mathematical expressions for formulas that explain given data. Transformer-based models have emerged as a promising, scalable approach shifting the expensive combinatorial search to a…

机器学习 · 计算机科学 2025-09-25 Henrik Voigt , Paul Kahlmeyer , Kai Lawonn , Michael Habeck , Joachim Giesen

Generalization error bounds for deep neural networks trained by stochastic gradient descent (SGD) are derived by combining a dynamical control of an appropriate parameter norm and the Rademacher complexity estimate based on parameter norms.…

机器学习 · 计算机科学 2023-05-30 Mingze Wang , Chao Ma

As machine learning becomes increasingly central to molecular design, it is vital to ensure the reliability of learnable protein-ligand scoring functions on novel protein targets. While many scoring functions perform well on standard…

We consider some supervised binary classification tasks and a regression task, whereas SVM and Deep Learning, at present, exhibit the best generalization performances. We extend the work [3] on a generalized quadratic loss for learning…

机器学习 · 计算机科学 2021-02-16 Filippo Portera

The loss function is arguably among the most important hyperparameters for a neural network. Many loss functions have been designed to date, making a correct choice nontrivial. However, elaborate justifications regarding the choice of the…

机器学习 · 计算机科学 2022-10-31 Simon Dräger , Jannik Dunkelau

Of theories for why large-scale machine learning models generalize despite being vastly overparameterized, which of their assumptions are needed to capture the qualitative phenomena of generalization in the real world? On one hand, we find…

机器学习 · 计算机科学 2022-03-14 Alexander Wei , Wei Hu , Jacob Steinhardt

One of the major open problems in machine learning is to characterize generalization in the overparameterized regime, where most traditional generalization bounds become inconsistent even for overparameterized linear regression. In many…

机器学习 · 计算机科学 2023-11-22 Jing Xu , Jiaye Teng , Yang Yuan , Andrew Chi-Chih Yao

In this paper, we provide a mathematical framework for improving generalization in a class of learning problems which is related to point estimations for modeling of high-dimensional nonlinear functions. In particular, we consider a…

最优化与控制 · 数学 2024-12-13 Getachew K. Befekadu

In recent years, several results in the supervised learning setting suggested that classical statistical learning-theoretic measures, such as VC dimension, do not adequately explain the performance of deep learning models which prompted a…

机器学习 · 计算机科学 2021-12-09 Pascal Mattia Esser , Leena Chennuru Vankadara , Debarghya Ghoshdastidar

Meta-learning has arisen as a successful method for improving training performance by training over many similar tasks, especially with deep neural networks (DNNs). However, the theoretical understanding of when and why overparameterized…

机器学习 · 计算机科学 2023-04-11 Peizhong Ju , Yingbin Liang , Ness B. Shroff

A recent line of work has shown that an overparametrized neural network can perfectly fit the training data, an otherwise often intractable nonconvex optimization problem. For (fully-connected) shallow networks, in the best case scenario,…

机器学习 · 计算机科学 2019-10-30 Armin Eftekhari , ChaeHwan Song , Volkan Cevher

Parameter sharing has proven to be a parameter-efficient approach. Previous work on Transformers has focused on sharing parameters in different layers, which can improve the performance of models with limited parameters by increasing model…

机器学习 · 计算机科学 2023-06-19 Ye Lin , Mingxuan Wang , Zhexi Zhang , Xiaohui Wang , Tong Xiao , Jingbo Zhu

For the task of image classification, researchers work arduously to develop the next state-of-the-art (SOTA) model, each bench-marking their own performance against that of their predecessors and of their peers. Unfortunately, the metric…

计算机视觉与模式识别 · 计算机科学 2021-09-09 Matthew Gwilliam , Adam Teuscher , Connor Anderson , Ryan Farrell

One of the most surprising and exciting discoveries in supervised learning was the benefit of overparameterization (i.e. training a very large model) to improving the optimization landscape of a problem, with minimal effect on statistical…

机器学习 · 统计学 2020-07-17 Rares-Darius Buhai , Yoni Halpern , Yoon Kim , Andrej Risteski , David Sontag