The geometry of scheduling

N Bansal, K Pruhs - SIAM Journal on Computing, 2014 - SIAM
We consider the following general scheduling problem. The input consists of n jobs, each
with an arbitrary release time, size, and monotone function specifying the cost incurred when …

Pandora's box with correlations: Learning and approximation

S Chawla, E Gergatsouli, Y Teng… - 2020 IEEE 61st …, 2020 - ieeexplore.ieee.org
The Pandora's Box problem and its extensions capture optimization problems with
stochastic input where the algorithm can obtain instantiations of input random variables at …

Online learning for min sum set cover and pandora's box

E Gergatsouli, C Tzamos - International Conference on …, 2022 - proceedings.mlr.press
Two central problems in Stochastic Optimization are Min-Sum Set Cover and Pandora's Box.
In Pandora's Box, we are presented with n boxes, each containing an unknown value and …

Improved approximations for min sum vertex cover and generalized min sum set cover

N Bansal, J Batra, M Farhadi, P Tetali - Proceedings of the 2021 ACM-SIAM …, 2021 - SIAM
We study the generalized min sum set cover (GMSSC) problem, wherein given a collection
of hyperedges E with arbitrary covering requirements {ke∊ Z+: e∊ E}, the goal is to find an …

Minimum latency submodular cover

S Im, V Nagarajan, RVD Zwaan - ACM Transactions on Algorithms …, 2016 - dl.acm.org
We study the Minimum Latency Submodular Cover (MLSC) problem, which consists of a
metric (V, d) with source r∈ V and m monotone submodular functions f 1, f 2,…, fm: 2 V→[0 …

Efficient online learning of optimal rankings: Dimensionality reduction via gradient descent

D Fotakis, T Lianeas, G Piliouras… - Advances in Neural …, 2020 - proceedings.neurips.cc
We consider a natural model of online preference aggregation, where sets of preferred items
R1, R2,..., Rt,..., along with a demand for kt items in each Rt, appear online. Without prior …

A primal-dual approximation algorithm for min-sum single-machine scheduling problems

M Cheung, J Mestre, DB Shmoys, J Verschae - SIAM Journal on Discrete …, 2017 - SIAM
We consider the following single-machine scheduling problem, which is often denoted
1||∑f_j: we are given n jobs to be scheduled on a single machine, where each job j has an …

Directed steiner tree and the lasserre hierarchy

T Rothvoß - arXiv preprint arXiv:1111.5473, 2011 - arxiv.org
The goal for the Directed Steiner Tree problem is to find a minimum cost tree in a directed
graph G=(V, E) that connects all terminals X to a given root r. It is well known that modulo a …

Weitzman's rule for pandora's box with correlations

E Gergatsouli, C Tzamos - Advances in Neural Information …, 2024 - proceedings.neurips.cc
Pandora's Box is a central problem in decision making under uncertainty that can model
various real life scenarios. In this problem we are given n boxes, each with a fixed opening …

Ranking with submodular valuations

Y Azar, I Gamzu - Proceedings of the twenty-second annual ACM-SIAM …, 2011 - SIAM
We study the problem of ranking with submodular valuations. An instance of this problem
consists of a ground set [m], and a collection of n monotone sub-modular set functions f 1 …