From termite nests to cancellous bone, irregular structures are ubiquitous in nature but difficult to harness in artificial systems. We propose an optimization-free approach that directly generates ...

DuaLip is an extreme-scale Linear Program (LP) solver built on PyTorch. It solves structured LP problems of the form: minimize c^T x subject to Ax ≤ b x_i ∈ C_i for all i ∈ {1, 2, ..., I} For a ...

MPAX is a hardware-accelerated, differentiable, batchable, and distributable solver for mathematical programming in JAX, designed to integrate with modern computational and deep learning workflows: ...

Understanding the mechanism of how neural networks learn features from data is a fundamental problem in machine learning. Our work explicitly connects the mechanism of neural feature learning to a ...

In the early 1980s, when cable TV was young and music videos were on the cutting edge, Doug Herzog used to fly coach for his job as a junior MTV programming executive. When he traveled, Herzog would ...

Abstract: We consider the problem of designing output feedback controllers that use measurements from a set of landmarks to navigate through a cell-decomposable environment using duality, control ...

1 Department of Mathematics, University of Patras, Patras, Greece. 2 Department of Business Administration, University of Patras, Patras, Greece. This paper presents a new dimension reduction strategy ...

In 2022, a team of computer scientists presented a groundbreaking algorithm for the maximum flow problem: How does one transport the most supplies from a source node to a sink node in a network while ...

School of Information Science and Engineering, Shandong University, 72 Binhai Road, Qingdao 266237, China Shandong Provincial Key Laboratory of Laser Technology and Application, Shandong University, ...

1 Department of Basic Sciences and Humanities, University of Asia Pacific, Dhaka, Bangladesh. 2 General Education Department, City University, Dhaka, Bangladesh. 3 Department of Mathematics, ...