12 papers
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…
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…
Functional Renormalization Group Approach for Signal Detection
Vincent Lahoche, Dine Ousmane Samary, Mohamed Tamaazousti
This review paper uses renormalization group techniques for signal detection in nearly-continuous positive spectra. We highlight universal aspects of the analogue field-theory appr…
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 for Signal Detection: Dimensional Analysis and Dimensional Phase Transition for Nearly Continuous Spectra Effective Field Theory
Riccardo Finotello, Vincent Lahoche, Dine Ousmane Samary
Signal detection in high dimensions is a critical challenge in data science. While standard methods based on random matrix theory provide sharp detection thresholds for finite-rank…
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…