93 citations · 424 across the 45 of their papers we have counts for
47 papers
Relational background field formulation of discrete quantum gravity models: The case of vector models in zero dimensions
Vincent Lahoche, Dine Ousmane Samary, Parham Radpay
In a recent paper arxiv.org/abs/2609.21031, we have introduced the concept of a relational background field as a new approach to the renormalization group (RG) for discrete quantum…
Functional Renormalization for Random Matrix Theory: The relational background field method
Vincent Lahoche, Dine Ousmane Samary
The construction of a reliable renormalization group (RG) flow for discrete gravity models that preserves their underlying symmetry group, typically or , remains an op…
Data Field Theory: Theory and Applications of the Functional Renormalization Group for Signal Detection
Riccardo Finotello, Vincent Lahoche, Dine Ousmane Samary +1
We review the renormalization group framework for signal detection in high-dimensional data, tailored to the regime where the signal may be of extensive rank and does not separate…
Field Theory of Data: Anomaly Detection via the Functional Renormalization Group. The 2D Ising Model as a Benchmark
Riccardo Finotello, Vincent Lahoche, Parham Radpay +1
We establish a correspondence between anomaly detection in high-noise regimes and the renormalization group flow of non-equilibrium field theories. We provide a physical grounding…
Functional Renormalization Group for a Rank-4 Renormalizable Tensorial Group Field Theory with Derivative Necklace Couplings
Seke Fawaaz Zime Yerima, Vincent Lahoche, Dine Ousmane Samary
We apply the functional renormalization group to an Abelian Group Field Theory extended beyond the branched-polymer (melonic) sector by including interactions that are subdominant…
Stochastic dynamics for group field theories II: Methods for nonequilibrium renormalization group
Vincent Lahoche, Dine Ousmane Samary
This paper is a continuation of our earlier work, which aimed to develop methods for understanding the renormalization group of tensorial group field theories within the stochastic…
Constructing the low-temperature phase diagram for the -quantum spin glass using the nonperturbative renormalization group
Ixandra Achitouv, Vincent Lahoche, Dine Ousmane Samary +1
In this paper, we use a nonperturbative renormalization group approach to construct the dynamical phase space of a quantum spin glass in the large limit. The disordered Hamilto…
Large time effective kinetics -functions for quantum (2 + p)-spin glass II: Effective vertex expansion, local potential approximation and symmetries
Bêm-Biéri Barthélémy Natta, Vincent Lahoche, Dine Ousmane Samary +1
This paper aims to study the functional renormalization group for quantum -spin dynamics of a -vector . By fixing the gauge symmetry in the co…
Signal inference in financial stock return correlations through phase-ordering kinetics in the quenched regime
Ixandra Achitouv, Vincent Lahoche, Dine Ousmane Samary
Financial stock return correlations have been analyzed through the lens of random matrix theory to differentiate the underlying signal from spurious correlations. The continuous sp…
Large time effective kinetics -functions for quantum (2+p)-spin glass
Vincent Lahoche, Dine Ousmane Samary, Parham Radpay
This paper examines the quantum -spin dynamics of a -vector through the lens of renormalization group (RG) theory. The RG is based on a coars…
Functional renormalization group for like glassy matrices in the planar approximation: II. Ward identities method in the deep IR
Vincent Lahoche, Dine Ousmane Samary
This paper, as a continuation of our previous investigation [arXiv:2403.07577] aims to study the glassy random matrices with quenched Wigner disorder. In this previous work, we hav…
Functional renormalization group for signal detection and stochastic ergodicity breaking
Harold Erbin, Riccardo Finotello, Bio Wahabou Kpera +2
Signal detection is one of the main challenges of data science. As it often happens in data analysis, the signal in the data may be corrupted by noise. There is a wide range of tec…
Stochastic melonic kinetics with random initial conditions
Bio Wahabou Kpera, Vincent Lahoche, Dine Ousmane Samary
The probability laws associated with random tensors or tensor field theories are traditionally equilibrium distributions. In this paper, we consider a stochastic point of view, and…
Renormalization in the neural network-quantum field theory correspondence
Harold Erbin, Vincent Lahoche, Dine Ousmane Samary
A statistical ensemble of neural networks can be described in terms of a quantum field theory (NN-QFT correspondence). The infinite-width limit is mapped to a free field theory, wh…
Low temperature dynamics for confined soft spin in the quenched regime
Vincent Lahoche, Dine Ousmane Samary
This paper aims to address the low-temperature dynamics issue for the spin dynamics with confining potential, focusing especially on quartic and sextic cases. The dynamics ar…
Stochastic dynamics for Group Field Theories
Vincent Lahoche, Dine Ousmane Samary
Phase transitions with spontaneous symmetry breaking are expected for group field theories as a basic feature of the geometogenesis scenario. The following paper aims to investigat…
No Ward-Takahashi identity violation for an Abelian tensorial group field theories with closure constraint
Vincent Lahoche, Bêm-Biéri Barthélémy Natta, Dine Ousmane Samary
This paper aims at investigating the nonperturbative functional renormalization group for tensorial group field theories with nontrivial kinetic action and closure constraint. We c…
Nonperturbative renormalization for the neural network-QFT correspondence
Harold Erbin, Vincent Lahoche, Dine Ousmane Samary
In a recent work arXiv:2008.08601, Halverson, Maiti and Stoner proposed a description of neural networks in terms of a Wilsonian effective field theory. The infinite-width limit is…
Field theoretical approach for signal detection in nearly continuous positive spectra II: Tensorial data
Vincent Lahoche, Mohamed Ouerfelli, Dine Ousmane Samary +1
The tensorial principal component analysis is a generalization of ordinary principal component analysis, focusing on data which are suitably described by tensors rather than matric…
Signal detection in nearly continuous spectra and symmetry breaking
Vincent Lahoche, Dine Ousmane Samary, Mohamed Tamaazousti
The large scale behavior of systems having a large number of interacting degrees of freedom is suitably described using renormalization group, from non-Gaussian distributions. Reno…
Generalized scale behavior and renormalization group for data analysis
Vincent Lahoche, Dine Ousmane Samary, Mohamed Tamaazousti
Some recent results showed that renormalization group can be considered as a promising framework to address open issues in data analysis. In this work, we focus on one of these asp…
Large- behavior of the Feynman amplitudes for a just-renormalizable tensorial group field theory
Vincent Lahoche, Dine Ousmane Samary
This paper aims at giving a novel approach to investigate the behavior of the renormalization group flow for tensorial group field theories to all orders of the perturbation theory…
Ward-constrained melonic renormalization group flow for the rank-four tensorial group field theory
Vincent Lahoche, Dine Ousmane Samary
The nontrivial fixed point discovered for -marginal couplings in tensorial group field theories have been showed to be incompatible with Ward-Takahashi identities. In this pre…
Ward-constrained melonic renormalization group flow
Vincent Lahoche, Dine Ousmane Samary
In recent years, some interesting investigations of the non-perturbative renormalization group equations for tensorial group field theories have been done in the truncation method,…