Abstract: In this paper, a design framework based on integer linear programming is proposed for optimizing sparse array structures. We resort to binary vectors to formulate the design problem for ...

Combinatorial optimization and integer programming form the backbone of decision-making models in which discrete choices must be made under constraints. At its core, integer programming specialises in ...

In the era of A.I. agents, many Silicon Valley programmers are now barely programming. Instead, what they’re doing is deeply, deeply weird. Credit...Illustration by Pablo Delcan and Danielle Del Plato ...

Official implementation of the paper: "CONSTRAINT MATTERS: MULTI-MODAL REPRESENTATION FOR REDUCING MIXED-INTEGER LINEAR PROGRAMMING", accepted by ICLR 2026. Model reduction is a powerful way to ...

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Microsoft open-sourced the MS-BASIC language. Bill Gates would never have seen this coming back in the day. MS-BASIC 1.1 was many developers' first language. In 1976, they rebranded Altair BASIC to ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. You are free to share(copy and redistribute) this ...

Mixed Integer Linear Programming (MILP) is essential for modeling complex decision-making problems but faces challenges in computational tractability and requires expert formulation. Current deep ...

Functional programming, as the name implies, is about functions. While functions are part of just about every programming paradigm, including JavaScript, a functional programmer has unique ...

Abstract: This paper investigates the equivalence between a class of mixed-integer linear and linear programming prob-lems. By utilizing the addition of slack variables theorem, we demonstrate that ...

Many important practical computations, such as scheduling, combinatorial, and optimization problems, use techniques known as integer programming to find the best combination of many variables. In ...