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Two methods are proposed for high-dimensional shape-constrained regression and classification. These methods reshape pre-trained prediction rules to satisfy shape constraints like monotonicity and convexity. The first method can be applied…

Machine Learning · Statistics 2018-05-17 Matt Bonakdarpour , Sabyasachi Chatterjee , Rina Foygel Barber , John Lafferty

Conventional time-series forecasting methods typically aim to minimize overall prediction error, without accounting for the varying importance of different forecast ranges in downstream applications. We propose a training methodology that…

Machine Learning · Computer Science 2025-08-15 Luca-Andrei Fechete , Mohamed Sana , Fadhel Ayed , Nicola Piovesan , Wenjie Li , Antonio De Domenico , Tareq Si Salem

Synthetic time series are often used in practical applications to augment the historical time series dataset for better performance of machine learning algorithms, amplify the occurrence of rare events, and also create counterfactual…

Machine Learning · Computer Science 2023-09-18 Andrea Coletta , Sriram Gopalakrishan , Daniel Borrajo , Svitlana Vyetrenko

Time series forecasting serves as an essential tool for many real-world applications, supporting tasks such as resource optimization and decision-making. Despite significant architectural advancements, most modern models still treat…

Machine Learning · Computer Science 2026-05-12 Sheng Pan , Ming Jin , Bo Du , Shirui Pan

We present data-dependent learning bounds for the general scenario of non-stationary non-mixing stochastic processes. Our learning guarantees are expressed in terms of a data-dependent measure of sequential complexity and a discrepancy…

Machine Learning · Computer Science 2018-03-16 Vitaly Kuznetsov , Mehryar Mohri

Transformers have demonstrated impressive strength in long-term series forecasting. Existing prediction research mostly focused on mapping past short sub-series (lookback window) to future series (forecast window). The longer training…

Machine Learning · Computer Science 2023-02-22 Julong Young , Junhui Chen , Feihu Huang , Jian Peng

Continual learning is inherently a constrained learning problem. The goal is to learn a predictor under a no-forgetting requirement. Although several prior studies formulate it as such, they do not solve the constrained problem explicitly.…

Machine Learning · Computer Science 2024-06-03 Juan Elenter , Navid NaderiAlizadeh , Tara Javidi , Alejandro Ribeiro

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

Time series forecasting is often fundamental to scientific and engineering problems and enables decision making. With ever increasing data set sizes, a trivial solution to scale up predictions is to assume independence between interacting…

Machine Learning · Computer Science 2021-01-18 Kashif Rasul , Abdul-Saboor Sheikh , Ingmar Schuster , Urs Bergmann , Roland Vollgraf

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

Learning behavioral patterns from observational data has been a de-facto approach to motion forecasting. Yet, the current paradigm suffers from two shortcomings: brittle under distribution shifts and inefficient for knowledge transfer. In…

Machine Learning · Computer Science 2022-04-06 Yuejiang Liu , Riccardo Cadei , Jonas Schweizer , Sherwin Bahmani , Alexandre Alahi

We present a primal-dual algorithmic framework to obtain approximate solutions to a prototypical constrained convex optimization problem, and rigorously characterize how common structural assumptions affect the numerical efficiency. Our…

Optimization and Control · Mathematics 2015-03-04 Quoc Tran-Dinh , Volkan Cevher

This paper proposes a multi-step probabilistic forecasting framework using a single neural-network based model to generate simultaneous point and interval forecasts. Our approach ensures non-crossing prediction intervals (PIs) through a…

Machine Learning · Computer Science 2026-04-21 Worachit Amnuaypongsa , Yotsapat Suparanonrat , Pana Wanitchollakit , Jitkomut Songsiri

In this work we consider the task of constructing prediction intervals in an inductive batch setting. We present a discriminative learning framework which optimizes the expected error rate under a budget constraint on the interval sizes.…

Machine Learning · Computer Science 2018-02-28 Nir Rosenfeld , Yishay Mansour , Elad Yom-Tov

We consider a sequence of related multivariate time series learning tasks, such as predicting failures for different instances of a machine from time series of multi-sensor data, or activity recognition tasks over different individuals from…

Machine Learning · Computer Science 2022-03-15 Vibhor Gupta , Jyoti Narwariya , Pankaj Malhotra , Lovekesh Vig , Gautam Shroff

Time series forecasting traditionally relies on unimodal numerical inputs, which often struggle to capture high-level semantic patterns due to their dense and unstructured nature. While recent approaches have explored representing time…

Machine Learning · Computer Science 2025-07-02 Sixun Dong , Wei Fan , Teresa Wu , Yanjie Fu

Providing long-range forecasts is a fundamental challenge in time series modeling, which is only compounded by the challenge of having to form such forecasts when a time series has never previously been observed. The latter challenge is the…

Machine Learning · Statistics 2018-08-28 Christopher Xie , Alex Tank , Alec Greaves-Tunnell , Emily Fox

Time-series forecasting has gained significant attention in machine learning due to its crucial role in various domains. However, most existing forecasting models rely heavily on point-wise loss functions like Mean Square Error, which treat…

Machine Learning · Computer Science 2025-07-16 Dilfira Kudrat , Zongxia Xie , Yanru Sun , Tianyu Jia , Qinghua Hu

Time series forecasting is a critical task that provides key information for decision-making. After traditional statistical and machine learning approaches, various fundamental deep learning architectures such as MLPs, CNNs, RNNs, and GNNs…

Machine Learning · Computer Science 2025-05-02 Jongseon Kim , Hyungjoon Kim , HyunGi Kim , Dongjun Lee , Sungroh Yoon

Learning to Optimize (LtO) is a problem setting in which a machine learning (ML) model is trained to emulate a constrained optimization solver. Learning to produce optimal and feasible solutions subject to complex constraints is a difficult…

Machine Learning · Computer Science 2024-03-18 James Kotary , Ferdinando Fioretto