Currently, two mainstream GNN-based methods have been developed for constructing force fields: group theory-based methods and direction-based methods.

Indonesian rescuers have recovered wreckage from a missing plane that is believed to have crashed with 11 people on board while approaching a mountainous region on Sulawesi island during cloudy conditions. The discovery on Sunday comes after the small plane - on its way from Yogyakarta on Indonesia's main island of Java to Makassar, the capital city of South Sulawesi province - vanished from radar on Saturday. Rescuers on the ground then retrieved larger debris consistent with the main fuselage and tail scattered on a steep northern slope, Anwar told a news conference. "The discovery of the aircraft's main sections significantly narrows the search zone and offers a crucial clue for tightening the search area," Anwar said. "Our joint search and rescue teams are now focusing on searching for the victims, especially those who might still be alive." The plane, a turboprop ATR 42-500, was operated by Indonesia Air Transport and was last tracked in the Leang-Leang area of Maros, a mountainous district of South Sulawesi province.

Is turbulence really like Jello-O? Science backs up the goofy analogy. The viral TikTok video may actually hold up under scrutiny. Breakthroughs, discoveries, and DIY tips sent six days a week. A young woman pushes a balled-up piece of napkin into a cup of Jell-O, asking the viewer to imagine that it is an airplane, high in the air.

How pilots avoid thunderstorms--and what happens when they can't Most commercial planes get struck by lightning a couple times a year. Despite the fears of nervous fliers, radar, routing, and teamwork keep planes safe during storms. Breakthroughs, discoveries, and DIY tips sent every weekday. In the 2023 movie starring Gerard Butler, a commercial aircraft is caught in a terrible storm. The plane shakes and the lights go out.

Then, we repeat the branching and bounding steps on subproblems that still have a negative lower bound. We terminate when all unstable neurons are split or all subproblems are verified.

We introduce AlphaTablets, a novel and generic representation of 3D planes that features continuous 3D surface and precise boundary delineation. By representing 3D planes as rectangles with alpha channels, AlphaTablets combine the advantages of current 2D and 3D plane representations, enabling accurate, consistent and flexible modeling of 3D planes. We derive differentiable rasterization on top of AlphaTablets to efficiently render 3D planes into images, and propose a novel bottom-up pipeline for 3D planar reconstruction from monocular videos.

Cutting-planes are one of the most important building blocks for solving large-scale integer programming (IP) problems to (near) optimality. The majority of cutting plane approaches rely on explicit rules to derive valid inequalities that can separate the target point from the feasible set. Local cuts, on the other hand, seek to directly derive the facets of the underlying polyhedron and use them as cutting planes. However, current approaches rely on solving Linear Programming (LP) problems in order to derive such a hyperplane. In this paper, we present a novel generic approach for learning the facets of the underlying polyhedron by accessing it implicitly via an enumeration oracle in a reduced dimension. This is achieved by embedding the oracle in a variant of the Frank-Wolfe algorithm which is capable of generating strong cutting planes, effectively turning the enumeration oracle into a separation oracle. We demonstrate the effectiveness of our approach with a case study targeting the multidimensional knapsack problem (MKP).