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We propose "collision cross-entropy" as a robust alternative to Shannon's cross-entropy (CE) loss when class labels are represented by soft categorical distributions y. In general, soft labels can naturally represent ambiguous targets in…

Machine Learning · Computer Science 2023-11-30 Zhongwen Zhang , Yuri Boykov

Ordinary differential equations (ODEs), via their induced flow maps, provide a powerful framework to parameterize invertible transformations for the purpose of representing complex probability distributions. While such models have achieved…

Statistics Theory · Mathematics 2023-09-06 Youssef Marzouk , Zhi Ren , Sven Wang , Jakob Zech

Deep learning-based tropical cyclone (TC) forecasting methods have demonstrated significant potential and application advantages, as they feature much lower computational cost and faster operation speed than numerical weather prediction…

Machine Learning · Computer Science 2026-04-03 Qixiang Li , Yuan Zhou , Shuwei Huo , Chong Wang , Xiaofeng Li

In virtual assistant (VA) systems it is important to reject or redirect user queries that fall outside the scope of the system. One of the most accurate approaches for out-of-scope (OOS) rejection is to combine it with the task of intent…

Computation and Language · Computer Science 2024-10-22 Tianyi Zhang , Atta Norouzian , Aanchan Mohan , Frederick Ducatelle

Tropical cyclones (TCs) rank among the most costly natural disasters in the United States, and accurate forecasts of track and intensity are critical for emergency response. Intensity guidance has improved steadily but slowly, as processes…

Applications · Statistics 2020-12-08 Trey McNeely , Ann B. Lee , Kimberly M. Wood , Dorit Hammerling

This paper proposes a way to combine the Mesh Adaptive Direct Search (MADS) algorithm with the Cross-Entropy (CE) method for non smooth constrained optimization. The CE method is used as a Search step by the MADS algorithm. The result of…

Optimization and Control · Mathematics 2023-08-15 Charles Audet , Romain Couderc , Jean Bigeon

Probabilistic values, including Shapley values and semivalues, provide a model-agnostic framework to attribute the behavior of a black-box model to data points or features, with a wide range of applications including explainable artificial…

Artificial Intelligence · Computer Science 2026-05-05 Ziqi Liu , Kiljae Lee , Yuan Zhang , Weijing Tang

One common loss function in neural network classification tasks is Categorical Cross Entropy (CCE), which punishes all misclassifications equally. However, classes often have an inherent structure. For instance, classifying an image of a…

Machine Learning · Computer Science 2020-03-09 Konstantin Kobs , Michael Steininger , Albin Zehe , Florian Lautenschlager , Andreas Hotho

Uncertainty quantification has received considerable interest in recent works in Machine Learning. In particular, Conformal Prediction (CP) gains ground in this field. For the case of time series, Online Conformal Prediction (OCP) becomes…

Machine Learning · Computer Science 2025-11-03 Théo Dupuy , Binbin Xu , Stéphane Perrey , Jacky Montmain , Abdelhak Imoussaten

Conditional density estimation (CDE) models can be useful for many statistical applications, especially because the full conditional density is estimated instead of traditional regression point estimates, revealing more information about…

Methodology · Statistics 2021-07-12 Alex Akira Okuno , Felipe Maia Polo

Motivated by the increasing risks of data misuse and fabrication, we investigate the problem of identifying synthetic time series generated by Time-Series Large Models (TSLMs) in this work. While there are extensive researches on detecting…

Artificial Intelligence · Computer Science 2025-11-13 Junji Hou , Junzhou Zhao , Shuo Zhang , Pinghui Wang

A novel probabilistic numerical method for quantifying the uncertainty induced by the time integration of ordinary differential equations (ODEs) is introduced. Departing from the classical strategy to randomize ODE solvers by adding a…

Numerical Analysis · Mathematics 2020-06-26 Assyr Abdulle , Giacomo Garegnani

Musical onset detection can be formulated as a time-to-event (TTE) or time-since-event (TSE) prediction task by defining music as a sequence of onset events. Here we propose a novel method to model the probability of onsets by introducing a…

Sound · Computer Science 2020-02-11 Jaesung Huh , Egil Martinsson , Adrian Kim , Jung-Woo Ha

Prediction based on Irregularly Sampled Time Series (ISTS) is of wide concern in the real-world applications. For more accurate prediction, the methods had better grasp more data characteristics. Different from ordinary time series, ISTS is…

Machine Learning · Computer Science 2021-05-04 Chenxi Sun , Shenda Hong , Moxian Song , Yanxiu Zhou , Yongyue Sun , Derun Cai , Hongyan Li

Short-term (0-24 hours) precipitation forecasting is highly valuable to socioeconomic activities and public safety. However, the highly complex evolution patterns of precipitation events, the extreme imbalance between precipitation and…

Machine Learning · Computer Science 2026-03-30 Shuangliang Li , Siwei Li , Li Li , Weijie Zou , Jie Yang , Maolin Zhang

The cross-entropy method (CE) developed by R. Rubinstein is an elegant practical principle for simulating rare events. The method approximates the probability of the rare event by means of a family of probabilistic models. The method has…

Optimization and Control · Mathematics 2007-06-13 Frederic Dambreville

Recent advancements in learning algorithms have demonstrated that the sharpness of the loss surface is an effective measure for improving the generalization gap. Building upon this concept, Sharpness-Aware Minimization (SAM) was proposed to…

Machine Learning · Computer Science 2024-06-21 Tanapat Ratchatorn , Masayuki Tanaka

Time series forecasting is an important and forefront task in many real-world applications. However, most of time series forecasting techniques assume that the training data is clean without anomalies. This assumption is unrealistic since…

Machine Learning · Computer Science 2024-02-06 Hao Cheng , Qingsong Wen , Yang Liu , Liang Sun

Sequential recommendations (SR) with transformer-based architectures are widely adopted in real-world applications, where SR models require frequent retraining to adapt to ever-changing user preferences. However, training transformer-based…

We introduce OFTER, a time series forecasting pipeline tailored for mid-sized multivariate time series. OFTER utilizes the non-parametric models of k-nearest neighbors and Generalized Regression Neural Networks, integrated with a…

Machine Learning · Statistics 2023-04-11 Nikolas Michael , Mihai Cucuringu , Sam Howison
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