Publications related to Normed vector space

A Functional Perspective on Information Measures

Since the birth of Information Theory, researchers have defined and exploited various information measures, as well as endowed them with operational meanings. Some were born as a "solution to a problem", like Shannon's Entropy and Mutual Information. Other ...

EPFL2022

Digital Doubles: The Major Agency of Minor Bits

Lucia-Nieves Garcia de Jalon Oyarzun

In a world that seeks to describe, codify and quantify everything, and particularly our viscerality and its interactions with our actual and digital environments, can we find interstitial spaces, currently unseen, unobserved and unlegislated, where we migh ...

2022

A Characterisation Of The Continuum Gaussian Free Field In Arbitrary Dimensions

Juhan Aru

We prove that under certain mild moment and continuity assumptions, the d-dimensional continuum Gaussian free field is the only stochastic process satisfying the usual domain Markov property and a scaling assumption. Our proof is based on a decomposition o ...

ECOLE POLYTECHNIQUE2022

Efficient and Effective Multi-Modal Queries Through Heterogeneous Network Embedding

Karl Aberer, Thanh Trung Huynh, Quoc Viet Hung Nguyen, Thành Tâm Nguyên, Chi Thang Duong

The heterogeneity of today's Web sources requires information retrieval (IR) systems to handle multi-modal queries. Such queries define a user's information needs by different data modalities, such as keywords, hashtags, user profiles, and other media. Rec ...

IEEE COMPUTER SOC2022

Invariant Integrals on Topological Groups and Applications

Vasco Schiavo

We study a fixed point property for linear actions of discrete groups on weakly complete convex proper cones in locally convex topological vector spaces. We search to understand the class of discrete groups which enjoys this property and we try to generali ...

EPFL2021

Convergence of adaptive algorithms for constrained weakly convex optimization

Volkan Cevher, Ahmet Alacaoglu, Yurii Malitskyi

We analyze the adaptive first order algorithm AMSGrad, for solving a constrained stochastic optimization problem with a weakly convex objective. We prove the

\tilde O(t^{-1/2})

rate of convergence for the squared norm of the gradient of Moreau envelope, ...

2021

Discretisation and continuity: The emergence of symbols in communication

Martin Alois Rohrmeier, Robert Lieck

Vocal signalling systems, as used by humans and various non-human animals, exhibit discrete and continuous properties that can naturally be used to express discrete and continuous information, such as distinct words to denote objects in the world and proso ...

2021

On the asymptotic optimality of spectral coarse spaces

Tommaso Vanzan

This paper is concerned with the asymptotic optimality of spectral coarse spaces for two-level iterative methods. Spectral coarse spaces, namely coarse spaces obtained as the span of the slowest modes of the used one-level smoother, are known to be very ef ...

Springer-Verlag2021

Travail artisanal et production de l'espace bruxellois. Prototype d'atlas lisuel

Marine Nicole Anne Antoinette Paul Declève

In Brussels today we can observe a proliferation of initiatives that reject the utilitarian framework which society, since industrialisation, has imposed upon the notion of work. Architects of their own lives, their adherents approach work as an existentia ...

EPFL2021

Hegemony in institutional transformation. Thesis from a work in progress"

Livia Bianca Fritz

Transforming universities towards transdisciplinarity is a complex endeavour, tackling established practices, policies, legal structures as well as personal and professional values and norms. Enabling institutions often emerge from niche initiatives, such ...

2021

Normed vector space

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A Functional Perspective on Information Measures

Digital Doubles: The Major Agency of Minor Bits

A Characterisation Of The Continuum Gaussian Free Field In Arbitrary Dimensions

Efficient and Effective Multi-Modal Queries Through Heterogeneous Network Embedding

Invariant Integrals on Topological Groups and Applications

Convergence of adaptive algorithms for constrained weakly convex optimization

Discretisation and continuity: The emergence of symbols in communication

On the asymptotic optimality of spectral coarse spaces

Travail artisanal et production de l'espace bruxellois. Prototype d'atlas lisuel

Hegemony in institutional transformation. Thesis from a work in progress"

A Functional Perspective on Information Measures

Digital Doubles: The Major Agency of Minor Bits

Discretisation and continuity: The emergence of symbols in communication

On the asymptotic optimality of spectral coarse spaces

Invariant Integrals on Topological Groups and Applications

Efficient and Effective Multi-Modal Queries Through Heterogeneous Network Embedding

A Characterisation Of The Continuum Gaussian Free Field In Arbitrary Dimensions

Convergence of adaptive algorithms for constrained weakly convex optimization

Travail artisanal et production de l'espace bruxellois. Prototype d'atlas lisuel

Hegemony in institutional transformation. Thesis from a work in progress"