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Neural ordinary differential equations (ODEs) are an emerging class of deep learning models for dynamical systems. They are particularly useful for learning an ODE vector field from observed trajectories (i.e., inverse problems). We here…

机器学习 · 计算机科学 2023-05-23 Katharina Ott , Michael Tiemann , Philipp Hennig

Neural networks are trained by minimizing a loss function that defines the discrepancy between the predicted model output and the target value. The selection of the loss function is crucial to achieve task-specific behaviour and highly…

计算机视觉与模式识别 · 计算机科学 2024-04-22 Shakhnaz Akhmedova , Nils Körber

We propose a novel algorithm for optimizing multivariate linear threshold functions as split functions of decision trees to create improved Random Forest classifiers. Standard tree induction methods resort to sampling and exhaustive search…

机器学习 · 计算机科学 2015-06-26 Mohammad Norouzi , Maxwell D. Collins , David J. Fleet , Pushmeet Kohli

We propose the Linearly Adaptive Cross Entropy Loss function. This is a novel measure derived from the information theory. In comparison to the standard cross entropy loss function, the proposed one has an additional term that depends on…

机器学习 · 计算机科学 2025-07-16 Jae Wan Shim

Despite the pervasiveness of ordinal labels in supervised learning, it remains common practice in deep learning to treat such problems as categorical classification using the categorical cross entropy loss. Recent methods attempting to…

机器学习 · 计算机科学 2022-03-04 Garrett Jenkinson , Gavin R. Oliver , Kia Khezeli , John Kalantari , Eric W. Klee

This simulation study compares statistical approaches for estimating extreme quantile regression, with a specific application to fire risk forecasting. A simulation-based framework is designed to evaluate the effectiveness of different…

统计方法学 · 统计学 2025-07-01 Amina El Bernoussi , Mohamed El Arrouchi

We determine forest lease value and optimal harvesting strategies under model parameter uncertainty within stochastic bio-economic models that account for catastrophe risk. Catastrophic events are modeled as a Poisson point process, with a…

数理金融 · 定量金融 2025-02-11 Ankush Agarwal , Christian Ewald , Yihan Zou

In a general counting process setting, we consider the problem of obtaining a prognostic on the survival time adjusted on covariates in high-dimension. Towards this end, we construct an estimator of the whole conditional intensity. We…

统计理论 · 数学 2013-10-15 Sarah Lemler

The effectiveness of anomaly signal detection can be significantly undermined by the inherent uncertainty of relying on one specified model. Under the framework of model average methods, this paper proposes a novel criterion to select the…

机器学习 · 统计学 2024-05-30 Gaoxiang Zhao , Lu Wang , Xiaoqiang Wang

Maximum entropy (Maxent) models are a class of statistical models that use the maximum entropy principle to estimate probability distributions from data. Due to the size of modern data sets, Maxent models need efficient optimization…

机器学习 · 统计学 2024-03-12 Gabriel P. Langlois , Jatan Buch , Jérôme Darbon

Neural network classifiers trained with cross-entropy loss achieve strong predictive accuracy but lack the capability to provide inherent predictive uncertainty estimates, thus requiring external techniques to obtain these estimates. In…

机器学习 · 统计学 2026-04-08 Courtney Franzen , Farhad Pourkamali-Anaraki

The 2019-20 Australia bushfire incurred numerous economic losses and significantly affected the operations of power systems. A power station or transmission line can be significantly affected due to bushfires, leading to an increase in…

系统与控制 · 电气工程与系统科学 2025-02-24 Jianyu Xu , Qiuzhuang Sun , Yang Yang , Huadong Mo , Daoyi Dong

In recent times, deep neural networks achieved outstanding predictive performance on various classification and pattern recognition tasks. However, many real-world prediction problems have ordinal response variables, and this ordering…

机器学习 · 计算机科学 2023-06-28 Xintong Shi , Wenzhi Cao , Sebastian Raschka

We introduce a new protocol for prediction with expert advice in which each expert evaluates the learner's and his own performance using a loss function that may change over time and may be different from the loss functions used by the…

机器学习 · 计算机科学 2009-03-23 Alexey Chernov , Vladimir Vovk

Canada experienced in 2023 one of the most severe wildfire seasons in recent history, causing damage across ecosystems, destroying communities, and emitting large quantities of CO2. This extreme wildfire season is symptomatic of a…

计算机视觉与模式识别 · 计算机科学 2025-11-04 Hugo Porta , Emanuele Dalsasso , Jessica L. McCarty , Devis Tuia

Understanding post-wildfire vegetation loss is critical for developing effective ecological recovery strategies and is often challenging due to the extended time and effort required to capture the evolving ecosystem features. Recent works…

机器学习 · 计算机科学 2025-11-03 Meenu Ravi , Shailik Sarkar , Yanshen Sun , Vaishnavi Singh , Chang-Tien Lu

Models for predicting the time of a future event are crucial for risk assessment, across a diverse range of applications. Existing time-to-event (survival) models have focused primarily on preserving pairwise ordering of estimated event…

机器学习 · 统计学 2021-01-14 Paidamoyo Chapfuwa , Chenyang Tao , Lawrence Carin , Ricardo Henao

Global wildfire models play a crucial role in anticipating and responding to changing wildfire regimes. JULES-INFERNO is a global vegetation and fire model simulating wildfire emissions and area burnt on a global scale. However, because of…

机器学习 · 计算机科学 2024-09-04 Sibo Cheng , Hector Chassagnon , Matthew Kasoar , Yike Guo , Rossella Arcucci

Due to recent climate changes, we have seen more frequent and severe wildfires in the United States. Predicting wildfires is critical for natural disaster prevention and mitigation. Advances in technologies in data processing and…

机器学习 · 计算机科学 2022-09-22 Hyung-Jin Yoon , Petros Voulgaris

Conformal prediction is a popular method to construct prediction intervals with marginal coverage guarantees from black-box machine learning models. In applications with potentially high-impact events, such as flooding or financial crises,…

统计方法学 · 统计学 2026-04-02 Olivier C. Pasche , Henry Lam , Sebastian Engelke