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Data-driven inverse optimization for mixed-integer linear programs (MILPs), which seeks to learn an objective function and constraints consistent with observed decisions, is important for building accurate mathematical models in a variety…

Optimization and Control · Mathematics 2026-02-17 Akira Kitaoka

We present a novel approach for constrained Bayesian inference. Unlike current methods, our approach does not require convexity of the constraint set. We reduce the constrained variational inference to a parametric optimization over the…

Machine Learning · Computer Science 2013-09-27 Oluwasanmi Koyejo , Joydeep Ghosh

In recent years, deep learning techniques have outperformed traditional models in many machine learning tasks. Deep neural networks have successfully been applied to address time series forecasting problems, which is a very important topic…

Machine Learning · Computer Science 2021-04-09 Pedro Lara-Benítez , Manuel Carranza-García , José C. Riquelme

Real-world time series are influenced by numerous factors and exhibit complex non-stationary characteristics. Non-stationarity can lead to distribution shifts, where the statistical properties of time series change over time, negatively…

Machine Learning · Computer Science 2025-10-13 Zipo Jibao , Yingyi Fu , Xinyang Chen , Guoting Chen

When some parameters of a constrained optimization problem (COP) are uncertain, this gives rise to a predict-then-optimize (PtO) problem, comprising two stages: the prediction of the unknown parameters from contextual information and the…

Machine Learning · Computer Science 2025-10-28 Jayanta Mandi , Marianne Defresne , Senne Berden , Tias Guns

Distributed statistical learning problems arise commonly when dealing with large datasets. In this setup, datasets are partitioned over machines, which compute locally, and communicate short messages. Communication is often the bottleneck.…

Statistics Theory · Mathematics 2022-10-25 Edgar Dobriban , Yue Sheng

Machine learning models can effectively forecast dynamical systems from time-series data, but they typically require large amounts of past data, making forecasting particularly challenging for systems with limited history. To overcome this,…

Machine Learning · Computer Science 2025-08-01 Declan A. Norton , Edward Ott , Andrew Pomerance , Brian Hunt , Michelle Girvan

Performance estimation aims at estimating the loss that a predictive model will incur on unseen data. These procedures are part of the pipeline in every machine learning project and are used for assessing the overall generalisation ability…

Machine Learning · Computer Science 2021-08-31 Vitor Cerqueira , Luis Torgo , Igor Mozetic

Amounts of historical data collected increase and business intelligence applicability with automatic forecasting of time series are in high demand. While no single time series modeling method is universal to all types of dynamics,…

Machine Learning · Statistics 2022-04-18 Evaldas Vaiciukynas , Paulius Danenas , Vilius Kontrimas , Rimantas Butleris

To advance time series forecasting (TSF), various methods have been proposed to improve prediction accuracy, evolving from statistical techniques to data-driven deep learning architectures. Despite their effectiveness, most existing methods…

Machine Learning · Computer Science 2026-04-21 Yitong Zhou , Yucong Luo , Mingyue Cheng , Qi Liu , Jiahao Wang , Daoyu Wang , Enhong Chen

Time series forecasting is at the core of important application domains posing significant challenges to machine learning algorithms. Recently neural network architectures have been widely applied to the problem of time series forecasting.…

Machine Learning · Computer Science 2022-07-28 Chrysoula Kosma , Giannis Nikolentzos , Nancy Xu , Michalis Vazirgiannis

Deep Learning (DL) models can be used to tackle time series analysis tasks with great success. However, the performance of DL models can degenerate rapidly if the data are not appropriately normalized. This issue is even more apparent when…

Computational Finance · Quantitative Finance 2019-09-24 Nikolaos Passalis , Anastasios Tefas , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis

Time series has been left behind in the era of pre-training and transfer learning. While research in the fields of natural language processing and computer vision are enjoying progressively larger datasets to train massive models, the most…

Machine Learning · Computer Science 2023-12-06 Gerald Woo , Chenghao Liu , Akshat Kumar , Doyen Sahoo

Deep neural network-based time series prediction models have recently demonstrated superior capabilities in capturing complex temporal dependencies. However, it is challenging for these models to account for uncertainty associated with…

Machine Learning · Computer Science 2025-12-01 Linghao Kong , Xiaopeng Hong

Error bounds, which refer to inequalities that bound the distance of vectors in a test set to a given set by a residual function, have proven to be extremely useful in analyzing the convergence rates of a host of iterative methods for…

Optimization and Control · Mathematics 2015-12-14 Zirui Zhou , Anthony Man-Cho So

Diffusion models suffer from the huge consumption of time and resources to train. For example, diffusion models need hundreds of GPUs to train for several weeks for a high-resolution generative task to meet the requirements of an extremely…

Machine Learning · Computer Science 2025-02-05 Bin Xie , Gady Agam

In model-based reinforcement learning, most algorithms rely on simulating trajectories from one-step models of the dynamics learned on data. A critical challenge of this approach is the compounding of one-step prediction errors as the…

Machine Learning · Computer Science 2024-02-06 Abdelhakim Benechehab , Albert Thomas , Giuseppe Paolo , Maurizio Filippone , Balázs Kégl

A fundamental problem in modern supervised learning is computing reliable conditional prediction intervals in high-dimensional settings: existing methods often rely on restrictive modelling assumptions, do not scale as predictor dimension…

Machine Learning · Statistics 2026-02-24 Daniel Salnikov , Dan Leonte , Kevin Michalewicz

Prediction+optimization is a common real-world paradigm where we have to predict problem parameters before solving the optimization problem. However, the criteria by which the prediction model is trained are often inconsistent with the goal…

Machine Learning · Computer Science 2021-11-23 Kai Yan , Jie Yan , Chuan Luo , Liting Chen , Qingwei Lin , Dongmei Zhang

Anomaly detection in multivariate time series is a central challenge in industrial monitoring, as failures frequently arise from complex temporal dynamics and cross-sensor interactions. While recent deep learning models, including graph…

Machine Learning · Computer Science 2026-04-21 Pooyan Khosravinia , João Gama , Bruno Veloso
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