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Leveraging machine learning (ML) to predict an initial solution for mixed-integer linear programming (MILP) has gained considerable popularity in recent years. These methods predict a solution and fix a subset of variables to reduce the…

Machine Learning · Computer Science 2025-03-04 Haoyang Liu , Jie Wang , Zijie Geng , Xijun Li , Yuxuan Zong , Fangzhou Zhu , Jianye Hao , Feng Wu

In this paper, we propose a novel transfer learning approach called multi-modal cascade model with feature transfer for polymer property prediction.Polymers are characterized by a composite of data in several different formats, including…

Machine Learning · Statistics 2025-05-08 Kiichi Obuchi , Yuta Yahagi , Kiyohiko Toyama , Shukichi Tanaka , Kota Matsui

A computational framework that leverages data from self-consistent field theory simulations with deep learning to accelerate the exploration of parameter space for block copolymers is presented. This is a substantial two-dimensional…

Materials Science · Physics 2023-07-04 Yao Xuan , Kris T. Delaney , Hector D. Ceniceros , Glenn H. Fredrickson

Jeroslow and Lowe gave an exact geometric characterization of subsets of $\mathbb{R}^n$ that are projections of mixed-integer linear sets, also known as MILP-representable or MILP-R sets. We give an alternate algebraic characterization by…

Optimization and Control · Mathematics 2017-11-21 Amitabh Basu , Kipp Martin , Christopher Thomas Ryan , Guanyi Wang

We propose a supervised learning framework for computing solutions of multi-parametric Mixed Integer Linear Programs (MILPs) that arise in Model Predictive Control. Our approach also quantifies sub-optimality for the computed solutions.…

Systems and Control · Electrical Eng. & Systems 2023-03-24 Luigi Russo , Siddharth H. Nair , Luigi Glielmo , Francesco Borrelli

Traditional QSAR/QSPR and inverse QSAR/QSPR methods often assume that chemical properties are dictated by single molecules, overlooking the influence of molecular interactions and environmental factors. In this paper, we introduce a novel…

Chemical Physics · Physics 2025-03-05 Jianshen Zhu , Mao Takekida , Naveed Ahmed Azam , Kazuya Haraguchi , Liang Zhao , Tatsuya Akutsu

Accurate prediction of polymer properties is essential for materials design, but remains challenging due to data scarcity, diverse polymer representations, and the lack of systematic evaluation across modelling choices. Here, we present…

Soft Condensed Matter · Physics 2026-03-17 Gaopeng Ren , Yijie Yang , Jiajun Zhou , Kim E. Jelfs

In this study, we propose HOPER (HOlistic ProtEin Representation), a novel multimodal learning framework designed to enhance protein function prediction (PFP) in low-data settings. The challenge of predicting protein functions is compounded…

Biomolecules · Quantitative Biology 2024-12-18 Serbülent Ünsal , Sinem Özdemir , Bünyamin Kasap , M. Erşan Kalaycı , Kemal Turhan , Tunca Doğan , Aybar C. Acar

To learn about real world phenomena, scientists have traditionally used models with clearly interpretable elements. However, modern machine learning (ML) models, while powerful predictors, lack this direct elementwise interpretability (e.g.…

Machine Learning · Statistics 2024-07-16 Timo Freiesleben , Gunnar König , Christoph Molnar , Alvaro Tejero-Cantero

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

Molecules have various computational representations, including numerical descriptors, strings, graphs, point clouds, and surfaces. Each representation method enables the application of various machine learning methodologies from linear…

Machine Learning · Computer Science 2025-02-18 Jirka Lhotka , Daniel Probst

The combination of high-throughput experimentation techniques and machine learning (ML) has recently ushered in a new era of accelerated material discovery, enabling the identification of materials with cutting-edge properties. However, the…

We propose a new method for multivariate response regression and covariance estimation when elements of the response vector are of mixed types, for example some continuous and some discrete. Our method is based on a model which assumes the…

Methodology · Statistics 2022-03-04 Karl Oskar Ekvall , Aaron J. Molstad

In this paper, we investigate the constraint typology of mixed-integer linear programming MILP formulations. MILP is a commonly used mathematical programming technique for modelling and solving real-life scheduling, routing, planning,…

Artificial Intelligence · Computer Science 2021-03-02 Vicky Mak-Hau , John Yearwood , William Moran

Advancements in neural machinery have led to a wide range of algorithmic solutions for molecular property prediction. Two classes of models in particular have yielded promising results: neural networks applied to computed molecular…

Pre-trained Language Models have emerged as promising tools for predicting molecular properties, yet their development is in its early stages, necessitating further research to enhance their efficacy and address challenges such as…

Machine Learning · Computer Science 2023-10-24 Eduardo Soares , Akihiro Kishimoto , Emilio Vital Brazil , Seiji Takeda , Hiroshi Kajino , Renato Cerqueira

This applied research article explores the application of Mixed-Integer Linear Programming (MILP) to address line-balancing challenges in the garment industry, focusing on optimizing production processes under multiple constraints. By…

Optimization and Control · Mathematics 2025-04-10 Ray Wai Man Kong , Ding Ning , Theodore Ho Tin Kong

The advancement of polymer informatics has been significantly propelled by the integration of machine learning (ML) techniques, enabling the rapid prediction of polymer properties and expediting the discovery of high-performance polymeric…

Materials Science · Physics 2025-04-01 Jiaxin Xu , Gang Liu , Ruilan Guo , Meng Jiang , Tengfei Luo

Modern Mixed Integer Linear Programming (MILP) solvers use the Branch-and-Bound algorithm together with a plethora of auxiliary components that speed up the search. In recent years, there has been an explosive development in the use of…

Optimization and Control · Mathematics 2024-11-28 Lara Scavuzzo , Karen Aardal , Neil Yorke-Smith

Mixed-integer linear programming (MILP) stands as a notable NP-hard problem pivotal to numerous crucial industrial applications. The development of effective algorithms, the tuning of solvers, and the training of machine learning models for…

Machine Learning · Computer Science 2023-10-23 Haoyu Wang , Jialin Liu , Xiaohan Chen , Xinshang Wang , Pan Li , Wotao Yin