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Application of Mathematical Optimization in Data Visualization and Visual Analytics: A Survey
IEEE Transactions on Big Data, 2023Mathematical optimization is the process of determining the set of globally or locally optimal parameters in a finite or infinite search space. It has been extensively employed in the research areas of computer science, engineering, operations research ...
Guodao Sun, Zihao Zhu, Gefei Zhang
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JuMP 1.0: recent improvements to a modeling language for mathematical optimization
Mathematical Programming Computation, 2022JuMP is an algebraic modeling language embedded in the Julia programming language. JuMP allows users to model optimization problems of a variety of kinds, including linear programming, integer programming, conic optimization, semidefinite programming ...
Miles Lubin +5 more
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5th Generation District Heating: A novel design approach based on mathematical optimization
, 2020This paper presents a novel design methodology based on Linear Programming for designing and evaluating distributed energy systems with bidirectional low temperature networks (BLTNs).
M. Wirtz +3 more
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Mathematical optimization in enhancing the sustainability of aircraft trajectory: A review
International Journal of Sustainable Transportation, 2020Rapid advances in technologies that improve the management of aircraft have provided a new opportunity for practitioners to address key social, environmental and economic impacts resulting from aircraft operations.
A. Hammad +4 more
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DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models
arXiv.orgMathematical reasoning poses a significant challenge for language models due to its complex and structured nature. In this paper, we introduce DeepSeekMath 7B, which continues pre-training DeepSeek-Coder-Base-v1.5 7B with 120B math-related tokens sourced
Zhihong Shao +8 more
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Autoformulation of Mathematical Optimization Models Using LLMs
International Conference on Machine LearningMathematical optimization is fundamental to decision-making across diverse domains, from operations research to healthcare. Yet, translating real-world problems into optimization models remains a difficult task, often demanding specialized expertise ...
N. Astorga +3 more
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A Mathematical Note on Sub-Optimization
Journal of the Operations Research Society of America, 1953Of the several points discussed in the previous paper [Hitch, C. J. 1953. Jour. Op. Res. Soc. America 1 87.], perhaps only one requires any mathematical restatement or explication. This one is the so-called “Golden Rule” for the allocation of scarce resources.
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Mathematical Programs with Optimization Problems in the Constraints
Operations Research, 1973This paper considers a class of optimization problems characterized by constraints that themselves contain optimization problems. The problems in the constraints can be linear programs, nonlinear programs, or two-sided optimization problems, including certain types of games.
Jerome Bracken, James T. McGill
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Step-level Value Preference Optimization for Mathematical Reasoning
Conference on Empirical Methods in Natural Language ProcessingDirect Preference Optimization (DPO) using an implicit reward model has proven to be an effective alternative to reinforcement learning from human feedback (RLHF) for fine-tuning preference aligned large language models (LLMs).
Guoxin Chen +3 more
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Mathematical Analysis and Optimization of Infiltration Processes
Journal of Scientific Computing, 1998The title problem is investigated for two equations which describe chemical vapor infiltration. One demonstrates that the process is controlled by only two parameters. To validate the theory, a numerical experiment is presented.
H.-C. Chang +3 more
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