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Mixed-Integer Linear Programming (MILP) plays an important role across a range of scientific disciplines and within areas of strategic importance to society. The MILP problems, however, suffer from combinatorial complexity. Because of…

Optimization and Control · Mathematics 2023-01-06 Mikhail A. Bragin , Emily L. Tucker

Mixed Integer programs (MIPs) are typically solved by the Branch-and-Bound algorithm. Recently, Learning to imitate fast approximations of the expert strong branching heuristic has gained attention due to its success in reducing the running…

Optimization and Control · Mathematics 2023-07-03 Sahil Manchanda , Sayan Ranu

In-context Learning (ICL) is the ability of Large Language Models (LLMs) to perform new tasks when conditioned on prompts comprising a few task examples. However, ICL performance can be critically sensitive to the choice of examples. To…

Computation and Language · Computer Science 2024-02-23 Shivanshu Gupta , Clemens Rosenbaum , Ethan R. Elenberg

We survey recent work on machine learning (ML) techniques for selecting cutting planes (or cuts) in mixed-integer linear programming (MILP). Despite the availability of various classes of cuts, the task of choosing a set of cuts to add to…

Optimization and Control · Mathematics 2023-11-01 Arnaud Deza , Elias B. Khalil

In-Context Learning (ICL) empowers Large Language Models (LLMs) for rapid task adaptation without Fine-Tuning (FT), but its reliance on demonstration selection remains a critical challenge. While many-shot ICL shows promising performance…

Computation and Language · Computer Science 2025-06-06 Jianfei Zhang , Bei Li , Jun Bai , Rumei Li , Yanmeng Wang , Chenghua Lin , Wenge Rong

Probabilistic mixture models have been widely used for different machine learning and pattern recognition tasks such as clustering, dimensionality reduction, and classification. In this paper, we focus on trying to solve the most common…

Machine Learning · Computer Science 2020-04-08 Gustavo A Valencia-Zapata , Daniel Mejia , Gerhard Klimeck , Michael Zentner , Okan Ersoy

The dynamic environment of laboratories and clinics, with streams of data arriving on a daily basis, requires regular updates of trained machine learning models for consistent performance. Continual learning is supposed to help train models…

Machine Learning · Computer Science 2025-08-12 Zahra Ebrahimi , Raheleh Salehi , Nassir Navab , Carsten Marr , Ario Sadafi

In-context learning (ICL), teaching a large language model (LLM) to perform a task with few-shot demonstrations rather than adjusting the model parameters, has emerged as a strong paradigm for using LLMs. While early studies primarily used…

Computation and Language · Computer Science 2023-05-24 Man Luo , Xin Xu , Zhuyun Dai , Panupong Pasupat , Mehran Kazemi , Chitta Baral , Vaiva Imbrasaite , Vincent Y Zhao

We study the problem of learning a linear model to set the reserve price in an auction, given contextual information, in order to maximize expected revenue from the seller side. First, we show that it is not possible to solve this problem…

Optimization and Control · Mathematics 2020-11-17 Joey Huchette , Haihao Lu , Hossein Esfandiari , Vahab Mirrokni

By allowing models to predict without task-specific training, in-context learning (ICL) with pretrained LLMs has enormous potential in NLP. However, a number of problems persist in ICL. In particular, its performance is sensitive to the…

Computation and Language · Computer Science 2024-02-20 Zhichao Xu , Daniel Cohen , Bei Wang , Vivek Srikumar

Mixed linear regression (MLR) has attracted increasing attention because of its great theoretical and practical importance in capturing nonlinear relationships by utilizing a mixture of linear regression sub-models. Although considerable…

Machine Learning · Statistics 2025-03-25 Yujing Liu , Zhixin Liu , Lei Guo

A decision support system relies on frequent re-solving of similar problem instances. While the general structure remains the same in corresponding applications, the input parameters are updated on a regular basis. We propose a generative…

Optimization and Control · Mathematics 2021-02-04 Lovis Anderson , Mark Turner , Thorsten Koch

In this work, we address a task allocation problem for human multi-robot settings. Given a set of tasks to perform, we formulate a general Mixed-Integer Linear Programming (MILP) problem aiming at minimizing the overall execution time while…

Robotics · Computer Science 2021-09-20 Martina Lippi , Alessandro Marino

We propose a hierarchical architecture for efficiently computing high-quality solutions to structured mixed-integer programs (MIPs). To reduce computational effort, our approach decouples the original problem into a higher level problem and…

Optimization and Control · Mathematics 2025-12-04 Stefan Clarke , Bartolomeo Stellato

We study a multiclass multiple instance learning (MIL) problem where the labels only suggest whether any instance of a class exists or does not exist in a training sample or example. No further information, e.g., the number of instances of…

Machine Learning · Statistics 2019-03-15 Xi-Lin Li

We present a new mixed-integer programming (MIP) approach for offline multiple change-point detection by casting the problem as a globally optimal piecewise linear (PWL) fitting problem. Our main contribution is a family of strengthened MIP…

Optimization and Control · Mathematics 2026-02-13 Apoorva Narula , Santanu S. Dey , Yao Xie

Multiple instance learning (MIL) is often used in medical imaging to classify high-resolution 2D images by processing patches or classify 3D volumes by processing slices. However, conventional MIL approaches treat instances separately,…

Machine Learning · Computer Science 2025-11-13 Ethan Harvey , Dennis Johan Loevlie , Michael C. Hughes

In this paper, we propose the MIML (Multi-Instance Multi-Label learning) framework where an example is described by multiple instances and associated with multiple class labels. Compared to traditional learning frameworks, the MIML…

Machine Learning · Computer Science 2011-10-28 Zhi-Hua Zhou , Min-Ling Zhang , Sheng-Jun Huang , Yu-Feng Li

Multiple Instance Learning (MIL) is a sub-domain of classification problems with positive and negative labels and a "bag" of inputs, where the label is positive if and only if a positive element is contained within the bag, and otherwise is…

Machine Learning · Statistics 2023-10-30 Edward Raff , James Holt

Mixed-Integer Linear Programming (MILP) is a cornerstone of combinatorial optimization, yet solving large-scale instances remains a significant computational challenge. Recently, Graph Neural Networks (GNNs) have shown promise in…

Machine Learning · Computer Science 2025-11-13 Tianle Pu , Jianing Li , Yingying Gao , Shixuan Liu , Zijie Geng , Haoyang Liu , Chao Chen , Changjun Fan
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