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The Universal Operator Growth Hypothesis formulates time evolution of operators through Lanczos coefficients. In practice, however, numerical instability and memory cost limit the number of coefficients that can be computed exactly. In…

Quantum Physics · Physics 2026-01-14 Zihao Qi , Christopher Earls

Researchers increasingly have access to two types of data: (i) large observational datasets where treatment (e.g., class size) is not randomized but several primary outcomes (e.g., graduation rates) and secondary outcomes (e.g., test…

Methodology · Statistics 2025-05-29 Susan Athey , Raj Chetty , Guido Imbens

Data augmentation (DA) is fundamental against overfitting in large convolutional neural networks, especially with a limited training dataset. In images, DA is usually based on heuristic transformations, like geometric or color…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Saypraseuth Mounsaveng , David Vazquez , Ismail Ben Ayed , Marco Pedersoli

It is well known that the quality and quantity of training data are significant factors which affect the development and performance of machine intelligence algorithms. Without representative data, neither scientists nor algorithms would be…

Machine Learning · Computer Science 2019-01-08 Georgios Mastorakis

In this paper I address the practical concern of predicting how much training data is sufficient for a statistical language learning system. First, I briefly review earlier results and show how these can be combined to bound the expected…

cmp-lg · Computer Science 2008-02-03 Mark Lauer

Deep Neural Networks are well known for efficiently fitting training data, yet experiencing poor generalization capabilities whenever some kind of bias dominates over the actual task labels, resulting in models learning "shortcuts". In…

Machine Learning · Computer Science 2024-08-12 Pietro Morerio , Ruggero Ragonesi , Vittorio Murino

Machine learning models are susceptible to being misled by biases in training data that emphasize incidental correlations over the intended learning task. In this study, we demonstrate the impact of data bias on the performance of a machine…

Materials Science · Physics 2024-12-11 Ali Davariashtiyani , Busheng Wang , Samad Hajinazar , Eva Zurek , Sara Kadkhodaei

We introduce a class of auto-encoder neural networks tailored to data from the natural exponential family (e.g., count data). The architectures are inspired by the problem of learning the filters in a convolutional generative model with…

Machine Learning · Computer Science 2020-06-30 Bahareh Tolooshams , Andrew H. Song , Simona Temereanca , Demba Ba

With promising empirical performance across a wide range of applications, synthetic data augmentation appears a viable solution to data scarcity and the demands of increasingly data-intensive models. Its effectiveness lies in expanding the…

Machine Learning · Computer Science 2026-02-02 Zixuan Wu , So Won Jeong , Yating Liu , Yeo Jin Jung , Claire Donnat

Supervised operator learning centers on the use of training data, in the form of input-output pairs, to estimate maps between infinite-dimensional spaces. It is emerging as a powerful tool to complement traditional scientific computing,…

Machine Learning · Computer Science 2024-08-14 Nicholas H. Nelsen , Andrew M. Stuart

Training Transformer language models is expensive, as performance typically improves with increasing dataset size and computational budget. Although scaling laws describe this trend at large scale, their implications in controlled,…

Training data attribution (TDA) techniques find influential training data for the model's prediction on the test data of interest. They approximate the impact of down- or up-weighting a particular training sample. While conceptually useful,…

Machine Learning · Computer Science 2023-11-01 Elisa Nguyen , Minjoon Seo , Seong Joon Oh

Data augmentation is a popular technique largely used to enhance the training of convolutional neural networks. Although many of its benefits are well known by deep learning researchers and practitioners, its implicit regularization…

Computer Vision and Pattern Recognition · Computer Science 2019-06-27 Alex Hernández-García , Peter König

Synthetic data becomes crucial for large language model training, but its effectiveness is highly inconsistent. We provide an information-theoretic account of this inconsistency: synthetic data improves a model only when the…

Machine Learning · Computer Science 2026-05-19 Hanyu Li , Zhengqi Sun , Xiaotie Deng

We focus on a stochastic learning model where the learner observes a finite set of training examples and the output of the learning process is a data-dependent distribution over a space of hypotheses. The learned data-dependent distribution…

Machine Learning · Statistics 2020-12-29 Omar Rivasplata , Ilja Kuzborskij , Csaba Szepesvari , John Shawe-Taylor

Selecting high-quality data for pre-training is crucial in shaping the downstream task performance of language models. A major challenge lies in identifying this optimal subset, a problem generally considered intractable, thus necessitating…

Machine Learning · Computer Science 2024-10-31 David Brandfonbrener , Hanlin Zhang , Andreas Kirsch , Jonathan Richard Schwarz , Sham Kakade

Fully convolutional neural networks can process input of arbitrary size by applying a combination of downsampling and pooling. However, we find that fully convolutional image classifiers are not agnostic to the input size but rather show…

Machine Learning · Computer Science 2021-10-13 Mats L. Richter , Wolf Byttner , Ulf Krumnack , Ludwdig Schallner , Justin Shenk

Finding valuable training data points for deep neural networks has been a core research challenge with many applications. In recent years, various techniques for calculating the "value" of individual training datapoints have been proposed…

Machine Learning · Computer Science 2021-04-29 Soumi Das , Arshdeep Singh , Saptarshi Chatterjee , Suparna Bhattacharya , Sourangshu Bhattacharya

We propose a general framework for studying adaptive regret bounds in the online learning framework, including model selection bounds and data-dependent bounds. Given a data- or model-dependent bound we ask, "Does there exist some algorithm…

Machine Learning · Computer Science 2020-02-14 Dylan J. Foster , Alexander Rakhlin , Karthik Sridharan

Selecting high-quality training data from a larger pool is a crucial step when instruction-tuning language models, as carefully curated datasets often produce models that outperform those trained on much larger, noisier datasets. Automated…

Computation and Language · Computer Science 2025-06-23 Hamish Ivison , Muru Zhang , Faeze Brahman , Pang Wei Koh , Pradeep Dasigi
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