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In this short note, we propose a new method for quantizing the weights of a fully trained neural network. A simple deterministic pre-processing step allows us to quantize network layers via memoryless scalar quantization while preserving…

Machine Learning · Computer Science 2023-04-06 Johannes Maly , Rayan Saab

We present a new approach to the calculation of measures in weighted networks, based on the translation of a weighted network into an ensemble of edges. This leads to a straightforward generalization of any measure defined on unweighted…

Statistical Mechanics · Physics 2009-07-06 S. E. Ahnert , D. Garlaschelli , T. M. Fink , G. Caldarelli

The analysis of variance (ANOVA) decomposition offers a systematic method to understand the interaction effects that contribute to a specific decision output. In this paper we introduce Neural-ANOVA, an approach to decompose neural networks…

Machine Learning · Statistics 2025-08-01 Steffen Limmer , Steffen Udluft , Clemens Otte

Modern scientific fields face the challenge of integrating a wealth of data, analyses, and results. We recently showed that a neglect of this integration can lead to circular analyses and redundant explanations. Here, we help advance…

Neurons and Cognition · Quantitative Biology 2025-08-15 Mika Rubinov

Abstraction is the process of extracting the essential features from raw data while ignoring irrelevant details. It is well known that abstraction emerges with depth in neural networks, where deep layers capture abstract characteristics of…

Machine Learning · Computer Science 2026-03-04 Carlo Orientale Caputo , Elias Seiffert , Enrico Frausin , Matteo Marsili

The adaptive smoothing method (ASM) is a standard data-driven technique used in traffic state estimation. The ASM has free parameters which, in practice, are chosen to be some generally acceptable values based on intuition. However, we note…

Systems and Control · Electrical Eng. & Systems 2023-12-08 Chuhan Yang , Sai Venkata Ramana Ambadipudi , Saif Eddin Jabari

Aggregating multiple learners through an ensemble of models aim to make better predictions by capturing the underlying distribution of the data more accurately. Different ensembling methods, such as bagging, boosting, and stacking/blending,…

Machine Learning · Statistics 2020-11-03 Mohsen Shahhosseini , Guiping Hu , Hieu Pham

Data noising is an effective technique for regularizing neural network models. While noising is widely adopted in application domains such as vision and speech, commonly used noising primitives have not been developed for discrete…

Machine Learning · Computer Science 2017-03-09 Ziang Xie , Sida I. Wang , Jiwei Li , Daniel Lévy , Aiming Nie , Dan Jurafsky , Andrew Y. Ng

Merging models becomes a fundamental procedure in some applications that consider model efficiency and robustness. The training randomness or Non-I.I.D. data poses a huge challenge for averaging-based model fusion. Previous research efforts…

Artificial Intelligence · Computer Science 2024-08-23 Yichu Xu , Xin-Chun Li , Le Gan , De-Chuan Zhan

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2018-11-14 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

When artificial neural networks have demonstrated exceptional practical success in a variety of domains, investigations into their theoretical characteristics, such as their approximation power, statistical properties, and generalization…

Machine Learning · Statistics 2023-10-06 Shijin Gong , Xinyu Zhang

In this paper we propose Fed-ensemble: a simple approach that bringsmodel ensembling to federated learning (FL). Instead of aggregating localmodels to update a single global model, Fed-ensemble uses random permutations to update a group of…

Machine Learning · Statistics 2023-07-04 Naichen Shi , Fan Lai , Raed Al Kontar , Mosharaf Chowdhury

Parallelization framework has become a necessity to speed up the training of deep neural networks (DNN) recently. Such framework typically employs the Model Average approach, denoted as MA-DNN, in which parallel workers conduct respective…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-19 Shizhao Sun , Wei Chen , Jiang Bian , Xiaoguang Liu , Tie-Yan Liu

The willingness to trust predictions formulated by automatic algorithms is key in a vast number of domains. However, a vast number of deep architectures are only able to formulate predictions without an associated uncertainty. In this…

Image and Video Processing · Electrical Eng. & Systems 2022-09-28 Matteo Ferrante , Tommaso Boccato , Nicola Toschi

Neural networks are very successful tools in for example advanced classification. From a statistical point of view, fitting a neural network may be seen as a kind of regression, where we seek a function from the input space to a space of…

Machine Learning · Statistics 2021-07-06 Anton Johansson , Niklas Engsner , Claes Strannegård , Petter Mostad

Artificial neural networks are simple and efficient machine learning tools. Defined originally in the traditional setting of simple vector data, neural network models have evolved to address more and more difficulties of complex real world…

Neural and Evolutionary Computing · Computer Science 2012-10-26 Marie Cottrell , Madalina Olteanu , Fabrice Rossi , Joseph Rynkiewicz , Nathalie Villa-Vialaneix

When we think of model ensembling or ensemble modeling, there are many possibilities that come to mind in different disciplines. For example, one might think of a set of descriptions of a phenomenon in the world, perhaps a time series or a…

Many pre-trained models (PTMs) are available in modern applications. Because different PTMs are often trained on different datasets, their performances can vary substantially for different new tasks, and the ranking of the candidates may…

Methodology · Statistics 2026-05-14 Ziwen Gao , Baihua He , Yuhong Yang

Modern deep learning usually treats models as separate artifacts: trained independently, specialized for particular purposes, and replaced when improved versions appear. This thesis studies model merging as an alternative paradigm:…

Machine Learning · Computer Science 2026-05-05 Donato Crisostomi

Neural compression is the application of neural networks and other machine learning methods to data compression. Recent advances in statistical machine learning have opened up new possibilities for data compression, allowing compression…

Machine Learning · Computer Science 2023-08-22 Yibo Yang , Stephan Mandt , Lucas Theis