Publication
The ABCD of topological recursion
Related publications (37)
Persistence and the Sheaf-Function Correspondence
The sheaf-function correspondence identifies the group of constructible functions on a real analytic manifold M with the Grothendieck group of constructible sheaves on M. When M is a finite dimensional real vector space, Kashiwara-Schapira have recently in ...
Cambridge2023Lattice packings through division algebras
In this text, we will show the existence of lattice packings in a family of dimensions by employing division algebras. This construction is a generalization of Venkatesh's lattice packing result Venkatesh (Int Math Res Notices 2013(7): 1628-1642, 2013). In ...
SPRINGER HEIDELBERG2023A 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 ...
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 ...
EPFL2021Gauge Equivariant Neural Networks for Quantum Lattice Gauge Theories
Gauge symmetries play a key role in physics appearing in areas such as quantum field theories of the fundamental particles and emergent degrees of freedom in quantum materials. Motivated by the desire to efficiently simulate many-body quantum systems with ...
AMER PHYSICAL SOC2021Decompositions 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 BIRKHAUSER2019Functional relations in nineteen-vertex models with domain-wall boundaries
This work is concerned with functional properties shared by partition functions of nineteen-vertex models with domain-wall boundary conditions. In particular, we describe both Izergin-Korepin and Fateev-Zamolodchikov models with the aforementioned boundary ...
2019Unsupervised Learning of Representations for Lexical Entailment Detection
Detecting lexical entailment plays a fundamental role in a variety of natural language processing tasks and is key to language understanding. Unsupervised methods still play an important role due to the lack of coverage of lexical databases in some domains ...
2018