Concept

Function (mathematics)

Related publications (220)

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Log Barriers for Safe Non-convex Black-box Optimization

Maryam Kamgarpour, Andreas Krause, Ilnura Usmanova

We address the problem of minimizing a smooth function f0(x) over a compact set D defined by smooth functional constraints fi(x)≤0, i=1,…,m given noisy value measurements of fi(x). This problem arises in safety-critical applications, where certain paramete ...

2019

Lorenz Type Behaviors Associated To Fractal-Non-Fractal Transition In The Dynamics Of The Complex Systems

Maria-Alexandra Paun

In the framework of Fractal Theory of Motion for the Scale Relativity Theory with arbitrary and constant fractal dimensions, dynamics in complex systems associated to the fractal-non-fractal transition are analyzed. Working with the assumption that these d ...

UNIV POLITEHNICA BUCHAREST, SCI BULL2019

Efficient Verifiable Delay Functions

Benjamin Pierre Charles Wesolowski

We construct a verifiable delay function (VDF). A VDF is a function whose evaluation requires running a given number of sequential steps, yet the result can be efficiently verified. They have applications in decentralised systems, such as the generation of ...

SPRINGER INTERNATIONAL PUBLISHING AG2019

Optimization Notes

Sepand Kashani

While optimization is well studied for real-valued functions

f : \mathbb{R}^{N} \to \mathbb{R}

, many physical problems are (partially) specified in terms of complex-valued functions

f_{c} : \mathbb{C}^{N} \to \mathbb{C}^{M}

. Current optimization packag ...

2019

Refutation-based synthesis in SMT

Viktor Kuncak, Andrew Joseph Reynolds

We introduce the first program synthesis engine implemented inside an SMT solver. We present an approach that extracts solution functions from unsatisfiability proofs of the negated form of synthesis conjectures. We also discuss novel counterexample-guided ...

SPRINGER2019

Simple models for biological control of crop pests and their application

Luz Vianey Vela Arevalo

In this work, we construct simple models in terms of differential equations for the dynamics of pest populations and their management using biological pest control. For the first model used, the effect of the biological control is modelled by a function of ...

WILEY2019

Modelling structures in cryo-EM maps

Matteo Dal Peraro, Sylvain Träger

Recent advances in structure determination of sub-cellular structures using cryo-electron microscopy and tomography have enabled us to understand their architecture in a more detailed manner and gain insight into their function. The choice of approach to u ...

CURRENT BIOLOGY LTD2019

Sparse Dictionaries for Continuous-Domain Inverse Problems

Michaël Unser, Shayan Aziznejad, Thomas Jean Debarre

We study 1D continuous-domain inverse problems for multicomponent signals. The prior assumption on these signals is that each component is sparse in a different dictionary specified by a regularization operators. We introduce a hybrid regularization functi ...

2019

Performance guarantees for greedy maximization of non-submodular controllability metrics

Maryam Kamgarpour, Tyler Summers

A key problem in emerging complex cyber-physical networks is the design of information and control topologies, including sensor and actuator selection and communication network design. These problems can be posed as combinatorial set function optimization ...

IEEE2019

Topology Optimization for Coils of Electric Machine with Level-set Method

Yves Perriard, Adrien Jean-Michel Thabuis, Xiaotao Ren

This work studies the level-set based topology optimization for the optimal layout of winding in electric motor. The functional to optimize is to maximize the torque in the air-gap. The coil domain is initiated by a level set function. The time evolutionar ...

IEEE2019

Optimization Notes

Sepand Kashani

While optimization is well studied for real-valued functions

f : \mathbb{R}^{N} \to \mathbb{R}

, many physical problems are (partially) specified in terms of complex-valued functions

f_{c} : \mathbb{C}^{N} \to \mathbb{C}^{M}

. Current optimization packag ...

2019