Algorithms and adaptivity gaps for stochastic probing
A stochastic probing problem consists of a set of elements whose values are independent
random variables. The algorithm knows the distributions of these variables, but not the …
random variables. The algorithm knows the distributions of these variables, but not the …
Competitive algorithms from competitive equilibria: Non-clairvoyant scheduling under polyhedral constraints
We introduce and study a general scheduling problem that we term the Polytope Scheduling
problem (PSP). In this problem, jobs can have different arrival times and sizes, and the rates …
problem (PSP). In this problem, jobs can have different arrival times and sizes, and the rates …
Regularized impurity reduction: accurate decision trees with complexity guarantees
Decision trees are popular classification models, providing high accuracy and intuitive
explanations. However, as the tree size grows the model interpretability deteriorates …
explanations. However, as the tree size grows the model interpretability deteriorates …
The power of adaptivity for stochastic submodular cover
In the stochastic submodular cover problem, the goal is to select a subset of stochastic items
of minimum expected cost to cover a submodular function. Solutions in this setting …
of minimum expected cost to cover a submodular function. Solutions in this setting …
Approximation algorithms for stochastic boolean function evaluation and stochastic submodular set cover
We present approximation algorithms for two problems: Stochastic Boolean Function
Evaluation (SBFE) and Stochastic Submodular Set Cover (SSSC). Our results for SBFE …
Evaluation (SBFE) and Stochastic Submodular Set Cover (SSSC). Our results for SBFE …
Improved approximations for min sum vertex cover and generalized min sum set cover
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 …
of hyperedges E with arbitrary covering requirements {ke∊ Z+: e∊ E}, the goal is to find an …
Semi-bandit learning for monotone stochastic optimization
Stochastic optimization is a widely used approach for optimization under uncertainty, where
uncertain input parameters are modeled by random variables. Exact or approximation …
uncertain input parameters are modeled by random variables. Exact or approximation …
Efficient online learning of optimal rankings: Dimensionality reduction via gradient descent
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 …
R1, R2,..., Rt,..., along with a demand for kt items in each Rt, appear online. Without prior …
Stochastic submodular cover with limited adaptivity
In the submodular cover problem, we are given a non-negative monotone submodular
function f over a ground set E of items, and the goal is to choose a smallest subset S⊆ E …
function f over a ground set E of items, and the goal is to choose a smallest subset S⊆ E …
Approximation algorithms for stochastic submodular set cover with applications to boolean function evaluation and min-knapsack
We present a new approximation algorithm for the stochastic submodular set cover (SSSC)
problem called adaptive dual greedy. We use this algorithm to obtain a 3-approximation …
problem called adaptive dual greedy. We use this algorithm to obtain a 3-approximation …