activity
20042022
most citedProvably Good Solutions to the Knapsack Problem via Neural Networks of Bounded Size

13 citations · 26 across the 17 of their papers we have counts for

collaborators

22 papers

cs.DM2022

A Note on the Quickest Minimum Cost Transshipment Problem

Martin Skutella

Klinz and Woeginger (1995) prove that the minimum cost quickest flow problem is NP-hard. On the other hand, the quickest minimum cost flow problem can be solved efficiently via a s…

cs.DS2021

A Faster Algorithm for Quickest Transshipments via an Extended Discrete Newton Method

Miriam Schlöter, Martin Skutella, Khai Van Tran

The Quickest Transshipment Problem is to route flow as quickly as possible from sources with supplies to sinks with demands in a network with capacities and transit times on the ar…

cs.LG2021★ 4 cited

Towards Lower Bounds on the Depth of ReLU Neural Networks

Christoph Hertrich, Amitabh Basu, Marco Di Summa +1

We contribute to a better understanding of the class of functions that can be represented by a neural network with ReLU activations and a given architecture. Using techniques from…

cs.DS2021

A simple proof of the Moore-Hodgson Algorithm for minimizing the number of late jobs

Joseph Cheriyan, R. Ravi, Martin Skutella

The Moore-Hodgson Algorithm minimizes the number of late jobs on a single machine. That is, it finds an optimal schedule for the classical problem . Several proof…

cs.LG2020★ 13 cited

Provably Good Solutions to the Knapsack Problem via Neural Networks of Bounded Size

Christoph Hertrich, Martin Skutella

The development of a satisfying and rigorous mathematical understanding of the performance of neural networks is a major challenge in artificial intelligence. Against this backgrou…

math.OC2019

Packing under Convex Quadratic Constraints

Max Klimm, Marc E. Pfetsch, Rico Raber +1

We consider a general class of binary packing problems with a convex quadratic knapsack constraint. We prove that these problems are APX-hard to approximate and present constant-fa…