Concept
Metrizable topological vector space
Related publications (39)
The ABCD of topological recursion
Kontsevich and Soibelman reformulated and slightly generalised the topological recursion of [43], seeing it as a quantisation of certain quadratic Lagrangians in T*V for some vector space V. KS topological recursion is a procedure which takes as initial da ...
San Diego2024Complementary screening for quantum spin Hall insulators in two-dimensional exfoliable materials
Nicola Marzari, Davide Campi, Antimo Marrazzo, Davide Grassano
Quantum spin Hall insulators are a class of topological materials that has been extensively studied during the past decade. One of their distinctive features is the presence of a finite band gap in the bulk and gapless, topologically protected edge states ...
College Pk2023Topology, Oxidation States, and Charge Transport in Ionic Conductors
Recent theoretical advances, based on a combination of concepts from Thouless' topological theory of adiabatic charge transport and a newly introduced gauge-invariance principle for transport coefficients, have permitted to connect (and reconcile) Faraday' ...
WILEY-V C H VERLAG GMBH2022Collapse-invariant properties of spaces equipped with signals or directions
Collapsing cell complexes was first introduced in the 1930's as a way to deform a space into a topological-equivalent subspace with a sequence of elementary moves. Recently, discrete Morse theory techniques provided an efficient way to construct deformatio ...
EPFL2022Efficient 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 SOC2022Invariant Integrals on Topological Groups and Applications
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 ...
EPFL2021Differentially Private Stochastic Coordinate Descent
Rachid Guerraoui, Georgios Damaskinos
In this paper we tackle the challenge of making the stochastic coordinate descent algorithm differentially private. Compared to the classical gradient descent algorithm where updates operate on a single model vector and controlled noise addition to this ve ...
AIAA2021A Covariance Formula For Topological Events Of Smooth Gaussian Fields
We derive a covariance formula for the class of 'topological events' of smooth Gaussian fields on manifolds; these are events that depend only on the topology of the level sets of the field, for example, (i) crossing events for level or excursion sets, (ii ...
INST MATHEMATICAL STATISTICS2020Decompositions of dependence for high-dimensional extremes
Emeric Rolland Georges Thibaud
We propose two decompositions that help to summarize and describe high-dimensional tail dependence within the framework of regular variation. We use a transformation to define a vector space on the positive orthant and show that transformed-linear operatio ...
OXFORD UNIV PRESS2019Beyond Wiener's Lemma: Nuclear Convolution Algebras and the Inversion of Digital Filters
Michaël Unser, Julien René Pierre Fageot, John Paul Ward
A convolution algebra is a topological vector space X that is closed under the convolution operation. It is said to be inverse-closed if each element of X whose spectrum is bounded away from zero has a convolution inverse that is also part of the algebra. ...
SPRINGER BIRKHAUSER2019