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Many prediction tasks contain uncertainty. In some cases, uncertainty is inherent in the task itself. In future prediction, for example, many distinct outcomes are equally valid. In other cases, uncertainty arises from the way data is…

Computer Vision and Pattern Recognition · Computer Science 2017-08-23 Christian Rupprecht , Iro Laina , Robert DiPietro , Maximilian Baust , Federico Tombari , Nassir Navab , Gregory D. Hager

Ambiguity is inherently present in many machine learning tasks, but especially for sequential models seldom accounted for, as most only output a single prediction. In this work we propose an extension of the Multiple Hypothesis Prediction…

Machine Learning · Statistics 2020-03-24 Alessandro Berlati , Oliver Scheel , Luigi Di Stefano , Federico Tombari

In many real-world applications, from robotics to pedestrian trajectory prediction, there is a need to predict multiple real-valued outputs to represent several potential scenarios. Current deep learning techniques to address…

Machine Learning · Computer Science 2023-12-20 David D. Nguyen , David Liebowitz , Surya Nepal , Salil S. Kanhere

Statistical machine learning theory often tries to give generalization guarantees of machine learning models. Those models naturally underlie some fluctuation, as they are based on a data sample. If we were unlucky, and gathered a sample…

Machine Learning · Computer Science 2022-11-21 Alexander Mey

Multivariate Hawkes Processes (MHPs) are an important class of temporal point processes that have enabled key advances in understanding and predicting social information systems. However, due to their complex modeling of temporal…

Machine Learning · Computer Science 2020-03-02 Maximilian Nickel , Matthew Le

This paper introduces a Multi-modal Diffusion model for Motion Prediction (MDMP) that integrates and synchronizes skeletal data and textual descriptions of actions to generate refined long-term motion predictions with quantifiable…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Leo Bringer , Joey Wilson , Kira Barton , Maani Ghaffari

This paper proposes a novel metric for Human Motion Prediction (HMP). Since a single past sequence can lead to multiple possible futures, a probabilistic HMP method predicts such multiple motions. While a single motion predicted by a…

Computer Vision and Pattern Recognition · Computer Science 2025-11-20 Kyotaro Tokoro , Hiromu Taketsugu , Norimichi Ukita

Future prediction is a fundamental principle of intelligence that helps plan actions and avoid possible dangers. As the future is uncertain to a large extent, modeling the uncertainty and multimodality of the future states is of great…

Computer Vision and Pattern Recognition · Computer Science 2020-06-09 Osama Makansi , Eddy Ilg , Özgün Cicek , Thomas Brox

Predicting human behavior is a difficult and crucial task required for motion planning. It is challenging in large part due to the highly uncertain and multi-modal set of possible outcomes in real-world domains such as autonomous driving.…

Machine Learning · Computer Science 2019-10-15 Yuning Chai , Benjamin Sapp , Mayank Bansal , Dragomir Anguelov

Traditional MCMC algorithms are computationally intensive and do not scale well to large data. In particular, the Metropolis-Hastings (MH) algorithm requires passing over the entire dataset to evaluate the likelihood ratio in each…

Machine Learning · Statistics 2019-08-29 Tung-Yu Wu , Y. X. Rachel Wang , Wing H. Wong

Machine learning-based performance models are increasingly being used to build critical job scheduling and application optimization decisions. Traditionally, these models assume that data distribution does not change as more samples are…

Machine Learning · Computer Science 2023-10-27 Ray A. O. Sinurat , Anurag Daram , Haryadi S. Gunawi , Robert B. Ross , Sandeep Madireddy

Most machine learning models operate under the assumption that the training, testing and deployment data is independent and identically distributed (i.i.d.). This assumption doesn't generally hold true in a natural setting. Usually, the…

Machine Learning · Computer Science 2021-12-14 Kumud Lakara , Akshat Bhandari , Pratinav Seth , Ujjwal Verma

Data-driven modeling is useful for reconstructing nonlinear dynamical systems when the underlying process is unknown or too expensive to compute. Having reliable uncertainty assessment of the forecast enables tools to be deployed to predict…

Methodology · Statistics 2023-11-01 Mengyang Gu , Yizi Lin , Victor Chang Lee , Diana Qiu

In this paper, we tackle the important yet under-investigated problem of making long-horizon prediction of event sequences. Existing state-of-the-art models do not perform well at this task due to their autoregressive structure. We propose…

Machine Learning · Computer Science 2022-10-05 Siqiao Xue , Xiaoming Shi , James Y Zhang , Hongyuan Mei

The ability to generate samples of the random effects from their conditional distributions is fundamental for inference in mixed effects models. Random walk Metropolis is widely used to conduct such sampling, but such a method can converge…

Applications · Statistics 2019-10-29 Belhal Karimi , Marc Lavielle

When human operators of cyber-physical systems encounter surprising behavior, they often consider multiple hypotheses that might explain it. In some cases, taking information-gathering actions such as additional measurements or control…

Artificial Intelligence · Computer Science 2024-11-22 Ofer Dagan , Tyler Becker , Zachary N. Sunberg

Probabilistic modeling provides the capability to represent and manipulate uncertainty in data, models, predictions and decisions. We are concerned with the problem of learning probabilistic models of dynamical systems from measured data.…

Computation · Statistics 2018-03-14 Thomas B. Schön , Andreas Svensson , Lawrence Murray , Fredrik Lindsten

Bayesian model comparison (BMC) offers a principled probabilistic approach to study and rank competing models. In standard BMC, we construct a discrete probability distribution over the set of possible models, conditional on the observed…

Machine Learning · Statistics 2023-02-22 Marvin Schmitt , Stefan T. Radev , Paul-Christian Bürkner

This paper develops a hybrid likelihood (HL) method based on a compromise between parametric and nonparametric likelihoods. Consider the setting of a parametric model for the distribution of an observation $Y$ with parameter $\theta$.…

Methodology · Statistics 2026-02-24 Nils Lid Hjort , Ian W. McKeague , Ingrid Van Keilegom

Estimating predictive uncertainty is crucial for many computer vision tasks, from image classification to autonomous driving systems. Hamiltonian Monte Carlo (HMC) is an sampling method for performing Bayesian inference. On the other hand,…

Machine Learning · Computer Science 2019-07-03 Diego Vergara , Sergio Hernández , Matias Valdenegro-Toro , Felipe Jorquera
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