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Stochastic optimisation algorithms are the de facto standard for machine learning with large amounts of data. Handling only a subset of available data in each optimisation step dramatically reduces the per-iteration computational costs,…

Numerical Analysis · Mathematics 2024-12-19 Matthias J. Ehrhardt , Zeljko Kereta , Jingwei Liang , Junqi Tang

Numerical simulation codes are very common tools to study complex phenomena, but they are often time-consuming and considered as black boxes. For some statistical studies (e.g. asset management, sensitivity analysis) or optimization…

Statistics Theory · Mathematics 2017-08-14 Vincent Moutoussamy , Simon Nanty , Benoît Pauwels

Mixed-integer optimisation problems can be computationally challenging. Here, we introduce and analyse two efficient algorithms with a specific sequential design that are aimed at dealing with sampled problems within this class. At each…

Optimization and Control · Mathematics 2023-03-07 Mohammadreza Chamanbaz , Roland Bouffanais

This paper proposes a stochastic optimal preparation and resource allocation method for upcoming extreme weather events in distribution systems, which can assist utilities to achieve faster and more efficient post-event restoration. With…

Systems and Control · Electrical Eng. & Systems 2021-09-22 Qianzhi Zhang , Zhaoyu Wang , Shanshan Ma , Anmar Arif

Two-stage stochastic mixed-integer linear programs with mixed-integer recourse arise in many practical applications but are computationally challenging due to their large size and the presence of integer decisions in both stages. The…

Optimization and Control · Mathematics 2025-11-11 Benjamin P. Riley , Prodromos Daoutidis , Qi Zhang

In the context of Industry 4.0, effective monitoring of multiple targets and states during assembly processes is crucial, particularly when constrained to using only visual sensors. Traditional methods often rely on either multiple sensor…

Computer Vision and Pattern Recognition · Computer Science 2025-07-24 Xingjian Zhang , Yutong Duan , Zaishu Chen

Markov chain Monte Carlo (MCMC) sampling of posterior distributions arising in Bayesian inverse problems is challenging when evaluations of the forward model are computationally expensive. Replacing the forward model with a low-cost,…

Numerical Analysis · Mathematics 2018-08-29 Benjamin Peherstorfer , Youssef Marzouk

Language Models (LMs) are increasingly used in applications where generated outputs must satisfy strict semantic or syntactic constraints. Existing approaches to constrained generation fall along a spectrum: greedy constrained decoding…

Artificial Intelligence · Computer Science 2025-10-03 Paweł Parys , Sairam Vaidya , Taylor Berg-Kirkpatrick , Loris D'Antoni

Autonomous driving is becoming one of the leading industrial research areas. Therefore many automobile companies are coming up with semi to fully autonomous driving solutions. Among these solutions, lane detection is one of the vital…

Computer Vision and Pattern Recognition · Computer Science 2020-01-03 Donghoon Chang , Vinjohn Chirakkal , Shubham Goswami , Munawar Hasan , Taekwon Jung , Jinkeon Kang , Seok-Cheol Kee , Dongkyu Lee , Ajit Pratap Singh

We introduce a stochastic version of the cutting-plane method for a large class of data-driven Mixed-Integer Nonlinear Optimization (MINLO) problems. We show that under very weak assumptions the stochastic algorithm is able to converge to…

Optimization and Control · Mathematics 2021-03-04 Dimitris Bertsimas , Michael Lingzhi Li

We introduce a new class of sequential Monte Carlo methods which reformulates the essence of the nested sampling method of Skilling (2006) in terms of sequential Monte Carlo techniques. Two new algorithms are proposed, nested sampling via…

State-space models (SSMs) have recently attention as an efficient alternative to computationally expensive attention-based models for sequence modeling. They rely on linear recurrences to integrate information over time, enabling fast…

Machine Learning · Computer Science 2026-01-01 Mahdi Karami , Ali Behrouz , Peilin Zhong , Razvan Pascanu , Vahab Mirrokni

Statistic modeling and data-driven learning are the two vital fields that attract many attentions. Statistic models intend to capture and interpret the relationships among variables, while data-based learning attempt to extract information…

Machine Learning · Computer Science 2021-12-22 Jingwei Li

Current auto-regressive models can generate high-quality, topologically precise meshes; however, they necessitate thousands-or even tens of thousands-of next-token predictions during inference, resulting in substantial latency. We introduce…

Graphics · Computer Science 2025-08-07 Dian Chen , Yansong Qu , Xinyang Li , Ming Li , Shengchuan Zhang

Nested stochastic modeling has been on the rise in many fields of the financial industry. Such modeling arises whenever certain components of a stochastic model are stochastically determined by other models. There are at least two main…

Computational Finance · Quantitative Finance 2021-06-14 Runhuan Feng , Peng Li

Training defect detection algorithms for visual surface inspection systems requires a large and representative set of training data. Often there is not enough real data available which additionally cannot cover the variety of possible…

Computational Engineering, Finance, and Science · Computer Science 2024-03-21 Natascha Jeziorski , Claudia Redenbach

Railcars, as part of the rolling stock, perform regular transportation tasks with respect to a service level agreement (SLA) and undergo preventive maintenance at regular intervals based on the recommendations of train manufacturers. When…

Optimization and Control · Mathematics 2025-09-11 Murat Elhüseyni , Burak Kocuk

We consider a new scheduling problem on parallel identical machines in which the number of machines is initially not known, but it follows a given probability distribution. Only after all jobs are assigned to a given number of bags, the…

Data Structures and Algorithms · Computer Science 2024-07-23 Moritz Buchem , Franziska Eberle , Hugo Kooki Kasuya Rosado , Kevin Schewior , Andreas Wiese

We consider a class of sampling-based decomposition methods to solve risk-averse multistage stochastic convex programs. We prove a formula for the computation of the cuts necessary to build the outer linearizations of the recourse…

Optimization and Control · Mathematics 2016-09-12 Vincent Guigues

Cutting planes (cuts) are crucial for solving Mixed Integer Linear Programming (MILP) problems. Advanced MILP solvers typically rely on manually designed heuristic algorithms for cut selection, which require much expert experience and…

Optimization and Control · Mathematics 2024-12-11 Xuefeng Zhang , Liangyu Chen , Zhengfeng Yang , Zhenbing Zeng
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