Publications associées (46)

On Verified Scala for STIX File System Embedded Code using Stainless

Viktor Kuncak, Jad Hamza

We present an approach for using formal methods in embedded systems and its evaluation on a case study. In our approach, the developers describe the system in a restricted subset of the high-level programming language Scala. We then use 1) a verification s ...
2022

Paths in pseudorandom graphs and applications

Van Thang Pham

Let G = (V, E) be an (n, d, lambda)-graph. In this paper, we give an asymptotically tight condition on the size of U subset of V such that the number of paths of length k in U is close to the expected number for arbitrary integer k >= 1. More precisely, we ...
CHARLES BABBAGE RES CTR2020

New Results in Integer and Lattice Programming

Christoph Hunkenschröder

An integer program (IP) is a problem of the form min{f(x):Ax=b, lxu, xZn}\min \{f(x) : \, Ax = b, \ l \leq x \leq u, \ x \in \Z^n\}, where AZm×nA \in \Z^{m \times n}, bZmb \in \Z^m, l,uZnl,u \in \Z^n, and f:ZnZf: \Z^n \rightarrow \Z is a separable convex objective function. The problem o ...
EPFL2020

Loops in AdS: from the spectral representation to position space

Din Carmi

We compute a family of scalar loop diagrams in AdS. We use the spectral representation to derive various bulk vertex/propagator identities, and these identities enable to reduce certain loop bubble diagrams to lower loop diagrams, and often to tree- level ...
2020

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

Friedrich Eisenbrand

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 ...
ASSOC COMPUTING MACHINERY2020

Role of higher order plasmonic modes in one-dimensional nanogratings

Ershad Mohammadi, Foziyeh Sohrabi

By theoretically investigating the optical behavior of one-dimensional gold nanogratings using Fourier Modal Method, we have shown that both integer and non-integer multiples of surface plasmon polariton wavelengths should be taken into consideration in sp ...
SPRINGER2019

Proximity results and faster algorithms for Integer Programming using the Steinitz Lemma

Friedrich Eisenbrand

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 ...
ASSOC COMPUTING MACHINERY2018

Robust auction design under multiple priors by linear and integer programming

Cagil Kocyigit

It is commonly assumed in the optimal auction design literature that valuations of buyers are independently drawn from a unique distribution. In this paper we study auctions under ambiguity, that is, in an environment where valuation distribution is uncert ...
2018

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