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Data driven models of dynamical systems help planners and controllers to provide more precise and accurate motions. Most model learning algorithms will try to minimize a loss function between the observed data and the model's predictions.…

Artificial Intelligence · Computer Science 2021-02-12 Clark Zhang , Santiago Paternain , Alejandro Ribeiro

We study a family of algorithms, which we refer to as local update methods, that generalize many federated learning and meta-learning algorithms. We prove that for quadratic objectives, local update methods perform stochastic gradient…

Machine Learning · Computer Science 2020-07-03 Zachary Charles , Jakub Konečný

The idea of value-aware model learning, that models should produce accurate value estimates, has gained prominence in model-based reinforcement learning. The MuZero loss, which penalizes a model's value function prediction compared to the…

Machine Learning · Computer Science 2025-06-10 Claas Voelcker , Anastasiia Pedan , Arash Ahmadian , Romina Abachi , Igor Gilitschenski , Amir-massoud Farahmand

The study of a machine learning problem is in many ways is difficult to separate from the study of the loss function being used. One avenue of inquiry has been to look at these loss functions in terms of their properties as scoring rules…

Machine Learning · Computer Science 2022-09-02 Zac Cranko , Robert C. Williamson , Richard Nock

This paper considers structural optimization under a reliability constraint, where the input distribution is only partially known. Specifically, when we only know that the expected value vector and the variance-covariance matrix of the…

Optimization and Control · Mathematics 2022-12-19 Yoshihiro Kanno

Designing proper loss functions is essential in training deep networks. Especially in the field of semantic segmentation, various evaluation metrics have been proposed for diverse scenarios. Despite the success of the widely adopted…

Computer Vision and Pattern Recognition · Computer Science 2020-12-04 Hao Li , Chenxin Tao , Xizhou Zhu , Xiaogang Wang , Gao Huang , Jifeng Dai

Supervised classification techniques use training samples to learn a classification rule with small expected 0-1 loss (error probability). Conventional methods enable tractable learning and provide out-of-sample generalization by using…

Machine Learning · Statistics 2023-08-21 Santiago Mazuelas , Mauricio Romero , Peter Grünwald

A wide array of machine learning problems are formulated as the minimization of the expectation of a convex loss function on some parameter space. Since the probability distribution of the data of interest is usually unknown, it is is often…

Optimization and Control · Mathematics 2019-05-27 Emilie Chouzenoux , Henri Gérard , Jean-Christophe Pesquet

We develop an approach to risk minimization and stochastic optimization that provides a convex surrogate for variance, allowing near-optimal and computationally efficient trading between approximation and estimation error. Our approach…

Machine Learning · Statistics 2017-12-15 John Duchi , Hongseok Namkoong

Learning with rejection is an important framework that can refrain from making predictions to avoid critical mispredictions by balancing between prediction and rejection. Previous studies on cost-based rejection only focused on the…

Machine Learning · Computer Science 2023-11-09 Xin Cheng , Yuzhou Cao , Haobo Wang , Hongxin Wei , Bo An , Lei Feng

Recent work on policy learning from observational data has highlighted the importance of efficient policy evaluation and has proposed reductions to weighted (cost-sensitive) classification. But, efficient policy evaluation need not yield…

Machine Learning · Computer Science 2020-02-13 Andrew Bennett , Nathan Kallus

Existing approaches of prescriptive analytics -- where inputs of an optimization model can be predicted by leveraging covariates in a machine learning model -- often attempt to optimize the mean value of an uncertain objective. However,…

Machine Learning · Computer Science 2025-03-05 Dimitris Bertsimas , Benjamin Boucher

We present a probabilistic deep learning methodology that enables the construction of predictive data-driven surrogates for stochastic systems. Leveraging recent advances in variational inference with implicit distributions, we put forth a…

Machine Learning · Statistics 2019-01-16 Yibo Yang , Paris Perdikaris

In classification, the de facto method for aggregating individual losses is the average loss. When the actual metric of interest is 0-1 loss, it is common to minimize the average surrogate loss for some well-behaved (e.g. convex) surrogate.…

Machine Learning · Computer Science 2018-11-06 Bryan He , James Zou

Surrogate models, crucial for approximating complex simulation data across sciences, inherently carry uncertainties that range from simulation noise to model prediction errors. Without rigorous uncertainty quantification, predictions become…

Machine Learning · Statistics 2025-04-07 Yuhan Duan , Xin Zhao , Neng Shi , Han-Wei Shen

There has been much recent work on training neural attention models at the sequence-level using either reinforcement learning-style methods or by optimizing the beam. In this paper, we survey a range of classical objective functions that…

Computation and Language · Computer Science 2018-10-09 Sergey Edunov , Myle Ott , Michael Auli , David Grangier , Marc'Aurelio Ranzato

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

Delayed primary outcomes and administratively censored follow-up create a general semiparametric estimation problem: the target causal functional depends on an endpoint observed only for a shrinking subset of units at analysis time, while…

Methodology · Statistics 2026-04-02 Lin Li , Tuo Lin , Yiwen Chen , Xin M. Tu

The standard margin-based structured prediction commonly uses a maximum loss over all possible structured outputs. The large-margin formulation including latent variables not only results in a non-convex formulation but also increases the…

Machine Learning · Computer Science 2019-06-25 Kevin Bello , Jean Honorio

For stochastic process models, parameter inference is often severely bottlenecked by computationally expensive likelihood functions. Simulation-based inference (SBI) bypasses this restriction by constructing amortized surrogate likelihoods,…

Machine Learning · Statistics 2026-05-26 Alexander Shen , Mikael Kuusela