Concept

Injective function

Related publications (16)

Efficient Continual Finite-Sum Minimization

Volkan Cevher, Efstratios Panteleimon Skoulakis, Leello Tadesse Dadi

Given a sequence of functions

f_1,\ldots,f_n

with

f_i:\mathcal{D}\mapsto \mathbb{R}

, finite-sum minimization seeks a point

{x}^\star \in \mathcal{D}

minimizing

\sum_{j=1}^nf_j(x)/n

. In this work, we propose a key twist into the finite-sum minimizat ...

2024

Variants of Homomorphism Polynomials Complete for Algebraic Complexity Classes

Aditya Vardhan Varre

We present polynomial families complete for the well-studied algebraic complexity classes VF, VBP, VP, and VNP. The polynomial families are based on the homomorphism polynomials studied in the recent works of Durand et al. (2014) and Mahajan et al. (2018). ...

ASSOC COMPUTING MACHINERY2021

Geometric landscapes for material discovery within energy–structure–function maps

Berend Smit, Seyedmohamad Moosavi, Henglu Xu

Porous molecular crystals are an emerging class of porous materials formed by crystallisation of molecules with weak intermolecular interactions, which distinguishes them from extended nanoporous materials like metal–organic frameworks (MOFs). To aid disco ...

2020

Graph-based regularization of inverse problems in imaging

Mattia Rossi

As of today, the extension of the human visual capabilities to machines remains both a cornerstone and an open challenge in the attempt to develop intelligent systems. On the one hand, the development of more and more sophisticated imaging devices, capable ...

EPFL2020

Injective And Projective Model Structures On Enriched Diagram Categories

Lyne Moser

In the enriched setting, the notions of injective and projective model structures on a category of enriched diagrams also make sense. In this paper, we prove the existence of these model structures on enriched diagram categories under local presentability, ...

2019

A Hybrid Method for Spectral Translation Equivalent Boolean Functions

Giovanni De Micheli, Mathias Soeken, Eleonora Testa

The equivalence of Boolean functions with respect to five invariance (aka translation) operations has been well considered with respect to the Rademacher-Walsh spectral domain. In this paper, we introduce a hybrid approach that uses both the Reed-Muller an ...

IEEE2019

Fault reactivation during fluid pressure oscillations: transition from stable to unstable slip

Marie Estelle Solange Violay, François Xavier Thibault Passelègue, Carolina Giorgetti, Corentin Jean-Marie Rémi Noël

High‐pressure fluid injection in deep geo‐reservoirs can induce earthquakes. Recent observations suggest that cyclic injections might trigger less seismicity than monotonic injections. Here, we report triaxial laboratory experiments conducted on faulted qu ...

2019

From aseismic to seismic slip during fluid pressure oscillations on laboratory fault

Marie Estelle Solange Violay, François Xavier Thibault Passelègue, Carolina Giorgetti, Corentin Jean-Marie Rémi Noël

A rise in fluid pressure decreases the effective normal stress acting on faults, facilitating reactivation. Within the upper crust, fluid pressure cyclic perturbations are common. They can originate from natural causes such as oceanic tides, seasonal hydro ...

2019

Modeling of a capacitive sensor dedicated to drug injection

Catherine Dehollain

to follow up patients who inject themselves insulin with injection pen is a quite complex task. Due to the repetition of injections, and the numerous influent parameter the patient can easily made an injection mistake and it is difficult for health-takers ...

IEEE2018

Image Reconstruction in K-Space from MR Data Encoded with Ambiguous Gradient Fields

Daniel Gallichan

PurposeIn this work, the limits of image reconstruction in k-space are explored when non-bijective gradient fields are used for spatial encoding. TheoryThe image space analogy between parallel imaging and imaging with non-bijective encoding fields is parti ...

Wiley-Blackwell2015

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Efficient Continual Finite-Sum Minimization

Volkan Cevher, Efstratios Panteleimon Skoulakis, Leello Tadesse Dadi

Given a sequence of functions

f_1,\ldots,f_n

with

f_i:\mathcal{D}\mapsto \mathbb{R}

, finite-sum minimization seeks a point

{x}^\star \in \mathcal{D}

minimizing

\sum_{j=1}^nf_j(x)/n

. In this work, we propose a key twist into the finite-sum minimizat ...

2024