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Training spiking neural networks to approximate universal functions is essential for studying information processing in the brain and for neuromorphic computing. Yet the binary nature of spikes poses a challenge for direct gradient-based…

Neural and Evolutionary Computing · Computer Science 2024-11-19 Julia Gygax , Friedemann Zenke

Adversarially robust classification seeks a classifier that is insensitive to adversarial perturbations of test patterns. This problem is often formulated via a minimax objective, where the target loss is the worst-case value of the 0-1…

Machine Learning · Statistics 2021-05-14 Han Bao , Clayton Scott , Masashi Sugiyama

Gaussian process regression is widely applied in computational science and engineering for surrogate modeling owning to its kernel-based and probabilistic nature. In this work, we propose a Bayesian approach that integrates the variability…

Machine Learning · Computer Science 2025-01-03 Dongwei Ye , Weihao Yan , Christoph Brune , Mengwu Guo

Accurate surrogate construction for PDE-driven high-dimensional rare-event simulation is challenging when performance evaluations are expensive. Since a globally accurate surrogate may require many high-fidelity evaluations, adaptive…

Numerical Analysis · Mathematics 2026-05-18 Zhiwei Gao , George Karniadakis

We demonstrate the adaption of three established methods to the field of surrogate machine learning model development. These methods are data augmentation, custom loss functions and transfer learning. Each of these methods have seen…

Machine Learning · Computer Science 2022-11-04 H. Rhys Jones , Tingting Mu , Andrei C. Popescu , Yusuf Sulehman

A large-scale deep model pre-trained on massive labeled or unlabeled data transfers well to downstream tasks. Linear evaluation freezes parameters in the pre-trained model and trains a linear classifier separately, which is efficient and…

Machine Learning · Computer Science 2023-05-30 Chenyu Zheng , Guoqiang Wu , Fan Bao , Yue Cao , Chongxuan Li , Jun Zhu

As one of the triumphs and milestones of robust statistics, Huber regression plays an important role in robust inference and estimation. It has also been finding a great variety of applications in machine learning. In a parametric setup, it…

Statistics Theory · Mathematics 2020-09-29 Yunlong Feng , Qiang Wu

The $F_\beta$ score is a commonly used measure of classification performance, which plays crucial roles in classification tasks with imbalanced data sets. However, the $F_\beta$ score cannot be used as a loss function by gradient-based…

Machine Learning · Computer Science 2021-04-06 Namgil Lee , Heejung Yang , Hojin Yoo

Surrogate models are data-based approximations of computationally expensive simulations that enable efficient exploration of the model's design space and informed decision-making in many physical domains. The usage of surrogate models in…

Sound · Computer Science 2022-12-14 Barbara Cunha , Abdel-Malek Zine , Mohamed Ichchou , Christophe Droz , Stéphane Foulard

This paper proposes a probabilistic contrastive loss function for self-supervised learning. The well-known contrastive loss is deterministic and involves a temperature hyperparameter that scales the inner product between two normed feature…

Machine Learning · Computer Science 2021-12-06 Shen Li , Jianqing Xu , Bryan Hooi

Neural network surrogate models have emerged as a promising approach to model solution fields for a wide variety of boundary value problems encountered in physical modeling. Stochastic problems represent an area of particularly high…

Machine Learning · Statistics 2026-05-18 Noah Wade , Kirubel Teferra

Neural networks for LHC physics have to be accurate, reliable, and controlled. Using neural surrogates for the prediction of loop amplitudes as a use case, we first show how activation functions are systematically tested with…

High Energy Physics - Phenomenology · Physics 2025-10-28 Henning Bahl , Nina Elmer , Luigi Favaro , Manuel Haußmann , Tilman Plehn , Ramon Winterhalder

The present paper proposes a Bayesian framework for inverse problems that seamlessly integrates optimization and inversion to enable rapid surrogate modeling, accurate parameter inference, and rigorous uncertainty quantification. Bayesian…

Computational Engineering, Finance, and Science · Computer Science 2026-02-05 Mihaela Chiappetta , Massimo Carraturo , Alexander Raßloff , Markus Kästner , Ferdinando Auricchio

We propose a novel hybrid loss for multiclass and structured prediction problems that is a convex combination of a log loss for Conditional Random Fields (CRFs) and a multiclass hinge loss for Support Vector Machines (SVMs). We provide a…

Machine Learning · Computer Science 2014-02-11 Qinfeng Shi , Mark Reid , Tiberio Caetano , Anton van den Hengel , Zhenhua Wang

This paper proposes a technique for training a neural network by minimizing a surrogate loss that approximates the target evaluation metric, which may be non-differentiable. The surrogate is learned via a deep embedding where the Euclidean…

Computer Vision and Pattern Recognition · Computer Science 2020-07-20 Yash Patel , Tomas Hodan , Jiri Matas

Learning controller parameters from closed-loop data has been shown to improve closed-loop performance. Bayesian optimization, a widely used black-box and sample-efficient learning method, constructs a probabilistic surrogate of the…

Machine Learning · Computer Science 2025-12-15 Sebastian Hirt , Valentinus Suwanto , Hendrik Alsmeier , Maik Pfefferkorn , Rolf Findeisen

Heuristic optimisation algorithms explore the search space by sampling solutions, evaluating their fitness, and biasing the search in the direction of promising solutions. However, in many cases, this fitness function involves executing…

Neural and Evolutionary Computing · Computer Science 2024-10-07 Pablo S. Naharro , Pablo Toharia , Antonio LaTorre , José-María Peña

The F-measure is a widely used performance measure for multi-label classification, where multiple labels can be active in an instance simultaneously (e.g. in image tagging, multiple tags can be active in any image). In particular, the…

Machine Learning · Statistics 2020-09-17 Mingyuan Zhang , Harish G. Ramaswamy , Shivani Agarwal

We derive a family of loss functions to train models in the presence of sampling bias. Examples are when the prevalence of a pathology differs from its sampling rate in the training dataset, or when a machine learning practioner rebalances…

Surrogate markers are often used in clinical trials to evaluate treatment effects when primary outcomes are costly, invasive, or take a long time to observe. However, reliance on surrogates can lead to the surrogate paradox, where a…

Methodology · Statistics 2025-06-17 Emily Hsiao , Lu Tian , Layla Parast