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We present a new method to approximate posterior probabilities of Bayesian Network using Deep Neural Network. Experiment results on several public Bayesian Network datasets shows that Deep Neural Network is capable of learning joint…

Machine Learning · Computer Science 2018-01-12 Jie Jia , Honggang Zhou , Yunchun Li

Networks with nodes embedded in a metric space have gained increasing interest in recent years. The effects of spatial embedding on the networks' structural characteristics, however, are rarely taken into account when studying their…

Physics and Society · Physics 2016-07-06 Marc Wiedermann , Jonathan F. Donges , Jürgen Kurths , Reik V. Donner

In this paper, we propose a novel information theoretic surrogate loss; normalized conditional mutual information (NCMI); as a drop in alternative to the de facto cross-entropy (CE) for training deep neural network (DNN) based classifiers.…

Machine Learning · Computer Science 2026-01-21 Linfeng Ye , Zhixiang Chi , Konstantinos N. Plataniotis , En-hui Yang

Likelihood-free Bayesian inference algorithms are popular methods for calibrating the parameters of complex, stochastic models, required when the likelihood of the observed data is intractable. These algorithms characteristically rely…

Computation · Statistics 2021-12-23 Thomas P Prescott , David J Warne , Ruth E Baker

Explainable AI is a crucial component for edge services, as it ensures reliable decision making based on complex AI models. Surrogate models are a prominent approach of XAI where human-interpretable models, such as a linear regression…

Machine Learning · Computer Science 2025-03-12 Foivos Charalampakos , Thomas Tsouparopoulos , Iordanis Koutsopoulos

In many real-world causal inference applications, the primary outcomes (labels) are often partially missing, especially if they are expensive or difficult to collect. If the missingness depends on covariates (i.e., missingness is not…

Machine Learning · Statistics 2024-05-24 Zhenghao Zeng , David Arbour , Avi Feller , Raghavendra Addanki , Ryan Rossi , Ritwik Sinha , Edward H. Kennedy

Large language models are increasingly used as surrogate models for low-data optimization, but their optimizer-facing prediction and its uncertainty remain poorly understood. We study the surrogate belief elicited from an LLM under sparse…

Computation and Language · Computer Science 2026-05-07 Ge Lei , Samuel J. Cooper

We are interested in assessing the use of neural networks as surrogate models to approximate and minimize objective functions in optimization problems. While neural networks are widely used for machine learning tasks such as classification…

Machine Learning · Computer Science 2023-11-22 Tommaso Giovannelli , Oumaima Sohab , Luis Nunes Vicente

Modern AI agents such as large language models are trained on diverse tasks -- translation, code generation, mathematical reasoning, and text prediction -- simultaneously. A key question is how to quantify the influence of each individual…

Machine Learning · Computer Science 2026-05-12 Zhenshuo Zhang , Minxuan Duan , Hongyang R. Zhang

Areas of computational mechanics such as uncertainty quantification and optimization usually involve repeated evaluation of numerical models that represent the behavior of engineering systems. In the case of complex nonlinear systems…

Machine Learning · Computer Science 2024-10-03 A. O. M. Kilicsoy , J. Liedmann , M. A. Valdebenito , F. -J. Barthold , M. G. R. Faes

In data assimilation, state estimation is not straightforward when the observation operator is unknown. This study proposes a method for composing a surrogate operator when the true operator is unknown. A neural network is used to improve…

Machine Learning · Computer Science 2022-06-03 Kosuke Akita , Yuto Miyatake , Daisuke Furihata

A method for estimating theoretical predictability of time series is presented, based on information-theoretic functionals---redundancies and surrogate data technique. The redundancy, designed for a chosen model and a prediction horizon,…

comp-gas · Physics 2010-01-10 M. Paluš , L. Pecen , D. Pivka

Measurement-constrained datasets, often encountered in semi-supervised learning, arise when data labeling is costly, time-intensive, or hindered by confidentiality or ethical concerns, resulting in a scarcity of labeled data. In certain…

Methodology · Statistics 2025-01-15 Yixin Shen , Yang Ning

We describe a complete method that learns a neural network which is guaranteed to overestimate a reference function on a given domain. The neural network can then be used as a surrogate for the reference function. The method involves two…

Machine Learning · Computer Science 2021-01-29 Adrien Gauffriau , François Malgouyres , Mélanie Ducoffe

Modern neural architectures for classification tasks are trained using the cross-entropy loss, which is widely believed to be empirically superior to the square loss. In this work we provide evidence indicating that this belief may not be…

Machine Learning · Computer Science 2021-10-26 Like Hui , Mikhail Belkin

Quantitative measurements produced by mass spectrometry proteomics experiments offer a direct way to explore the role of proteins in molecular mechanisms. However, analysis of such data is challenging due to the large proportion of missing…

Methodology · Statistics 2025-01-22 Haeun Moon , Jin-Hong Du , Jing Lei , Kathryn Roeder

Machine learning theory has mostly focused on generalization to samples from the same distribution as the training data. Whereas a better understanding of generalization beyond the training distribution where the observed distribution…

Machine Learning · Statistics 2019-05-29 Matias Vera , Pablo Piantanida , Leonardo Rey Vega

Neural networks have become standard tools in the analysis of data, but they lack comprehensive mathematical theories. For example, there are very few statistical guarantees for learning neural networks from data, especially for classes of…

Machine Learning · Computer Science 2020-11-12 Mahsa Taheri , Fang Xie , Johannes Lederer

Ultra-fast, precise, and controlled amplitude surrogates are essential for future LHC event generation. First, we investigate the noise reduction and biases of network ensembles and outline a new method to learn well-calibrated systematic…

High Energy Physics - Phenomenology · Physics 2026-04-09 Henning Bahl , Nina Elmer , Tilman Plehn , Ramon Winterhalder

Deep machine learning models are increasingly deployedin the wild for providing services to users. Adversaries maysteal the knowledge of these valuable models by trainingsubstitute models according to the inference results of thetargeted…

Cryptography and Security · Computer Science 2022-02-02 Chi Hong , Jiyue Huang , Lydia Y. Chen
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