Publications related to A Decision Procedure for Regular Membership and Length Constraints over Unbounded Strings

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Cutting plane methods are a fundamental approach for solving integer linear programs (ILPs). In each iteration of such methods, additional linear constraints (cuts) are introduced to the constraint set with the aim of excluding the previous fractional opti ...

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Decision Procedures for Power Structures

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We address for the first time the problem of correcting group discriminations within a score function, while minimizing the individual error. Each group is described by a probability density function on the set of profiles. We first solve the problem analy ...

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Efficient Sequential and Parallel Algorithms for Multistage Stochastic Integer Programming Using Proximity

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We consider the problem of solving integer programs of the form min {c^⊺ x : Ax = b, x ∈ ℤ_{⩾ 0}}, where A is a multistage stochastic matrix in the following sense: the primal treedepth of A is bounded by a parameter d, which means that the columns of A ca ...

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We consider integer programming problems in standard form max{c(T)x : Ax = b, x >= 0, x is an element of Z(n)} where A is an element of Z(mxn), b is an element of Z(m), and c is an element of Z(n). We show that such an integer program can be solved in time ...

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For a set X of integer points in a polyhedron, the smallest number of facets of any polyhedron whose set of integer points coincides with X is called the relaxation complexity rc(X). This parameter was introduced by Kaibel & Weltge (2015) and captures the ...

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New Results in Integer and Lattice Programming

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An integer program (IP) is a problem of the form

\min \{f(x) : \, Ax = b, \ l \leq x \leq u, \ x \in \Z^n\}

, where

A \in \Z^{m \times n}

,

b \in \Z^m

,

l,u \in \Z^n

, and

f: \Z^n \rightarrow \Z

is a separable convex objective function. The problem o ...

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Axiomatic scale theory

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Scales are a fundamental concept of musical practice around the world. They commonly exhibit symmetry properties that are formally studied using cyclic groups in the field of mathematical scale theory. This paper proposes an axiomatic framework for mathema ...

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A Decision Procedure for Regular Membership and Length Constraints over Unbounded Strings

Graph Chatbot

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Learning to Remove Cuts in Integer Linear Programming

Decision Procedures for Power Structures

Removing Algorithmic Discrimination (With Minimal Individual Error)

Removing algorithmic discrimination (with minimal individual error)

Efficient Sequential and Parallel Algorithms for Multistage Stochastic Integer Programming Using Proximity

Realizability of planar point embeddings from angle measurements

Proximity Results and Faster Algorithms for Integer Programming Using the Steinitz Lemma

Complexity of linear relaxations in integer programming

New Results in Integer and Lattice Programming

Axiomatic scale theory

Learning to Remove Cuts in Integer Linear Programming

Realizability of planar point embeddings from angle measurements

Efficient Sequential and Parallel Algorithms for Multistage Stochastic Integer Programming Using Proximity

Removing Algorithmic Discrimination (With Minimal Individual Error)

Proximity Results and Faster Algorithms for Integer Programming Using the Steinitz Lemma

New Results in Integer and Lattice Programming

Removing algorithmic discrimination (with minimal individual error)

Decision Procedures for Power Structures

Complexity of linear relaxations in integer programming

Axiomatic scale theory