Tootfinder

Matter in Discrete Space-Times
P. P. Divakaran
https://arxiv.org/abs/2404.04548 https://arxiv.org/pdf/2404.04548

Matter in Discrete Space-Times
The unitary representations of the Poincare group of a discrete space-time are constructed, following the Wigner method in continuum relativity. They can be interpreted as elementary particles with one significant new feature: the momentum space being the 4-torus is identified as the Brillouin zone of space-time where all physical phenomena occur. Consequently 4-momentum is defined and conserved only modulo a reciprocal lattice vector of the order of the Planck mass, implying that there is no n…

Simultaneous Conformal Prediction of Missing Outcomes with Propensity Score $\epsilon$-Discretization
Yonghoon Lee, Edgar Dobriban, Eric Tchetgen Tchetgen
https://arxiv.org/abs/2403.04613

Simultaneous Conformal Prediction of Missing Outcomes with Propensity Score $ε$-Discretization
We study the problem of simultaneous predictive inference on multiple outcomes missing at random. We consider a suite of possible simultaneous coverage properties, conditionally on the missingness pattern and on the -- possibly discretized/binned -- feature values. For data with discrete feature distributions, we develop a procedure which attains feature- and missingness-conditional coverage; and further improve it via pooling its results after partitioning the unobserved outcomes. To handle ge…

AFDM Chirp-Permutation-Index Modulation with Quantum-Accelerated Codebook Design
Hyeon Seok Rou, Kein Yukiyoshi, Taku Mikuriya, Giuseppe Thadeu Freitas de Abreu, Naoki Ishikawa
https://arxiv.org/abs/2405.02085

AFDM Chirp-Permutation-Index Modulation with Quantum-Accelerated Codebook Design
We describe a novel index modulation (IM) scheme exploiting a unique feature of the recently proposed affine frequency division multiplexing (AFDM) in doubly-dispersive (DD) channels. Dubbed AFDM chirp-permutation-index modulation (CPIM), the proposed method encodes additional information via the permutation of the discrete affine Fourier Transform (DAFT) chirp sequence, without any sacrifice of the various beneficial properties of the AFDM waveform in DD channels. The effectiveness of the prop…

This https://arxiv.org/abs/2312.00363 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Searching for discrete series representations at the late-time boundary of de Sitter
The group $SO(d+1,1)$ makes an appearance both as the conformal group of Euclidean space in $d$ dimensions and as the isometry group of de Sitter spacetime in $d+1$ dimensions. While this common feature can be taken as a hint towards holography on de Sitter space, understanding the representation theory has importance for cosmological applications where de Sitter spacetime is relevant. Among the categories of $SO(d+1,1)$ unitary irreducible representations, discrete series is important in physi…

Frog-Snake prey-predation Relationship Optimization (FSRO) : A novel nature-inspired metaheuristic algorithm for feature selection
Hayata Saitou, Harumi Haraguchi
https://arxiv.org/abs/2403.18835

Frog-Snake prey-predation Relationship Optimization (FSRO) : A novel nature-inspired metaheuristic algorithm for feature selection
Swarm intelligence algorithms have traditionally been designed for continuous optimization problems, and these algorithms have been modified and extended for application to discrete optimization problems. Notably, their application in feature selection for machine learning has demonstrated improvements in model accuracy, reduction of unnecessary data, and decreased computational time. This study proposes the Frog-Snake prey-predation Relationship Optimization (FSRO) algorithm, inspired by the p…

This https://arxiv.org/abs/2402.04338 has been replaced.
link: https://scholar.google.com/scholar?q=a

Logical recognition method for solving the problem of identification in the Internet of Things
A new area of application of methods of algebra of logic and to valued logic, which has emerged recently, is the problem of recognizing a variety of objects and phenomena, medical or technical diagnostics, constructing modern machines, checking test problems, etc., which can be reduced to constructing an optimal extension of the logical function to the entire feature space. For example, in logical recognition systems, logical methods based on discrete analysis and propositional calculus based o…

Superradiant instability of area quantized Kerr black hole with discrete reflectivity
Zhong-Hao Luo, Yun-Long Zhang
https://arxiv.org/abs/2404.10742 https:…

Superradiant instability of area quantized Kerr black hole with discrete reflectivity
Ultralight bosons can condense to form the so-called bosonic clouds around spinning black holes by superradiance instability. When quantum effects are taken into account, the classical black holes were replaced by exotic compact objects including area quantized black holes. In this work, we consider the superradiant instabilities of massive scalar fields around area quantized Kerr black hole. We introduce the reflectivity of area quantized black hole possesses the distinct discrete feature, and…

This https://arxiv.org/abs/2310.03703 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Varying Entropy Degrees of Freedom Effects in Low-Scale Leptogenesis
We analyse in detail the effect of varying entropy degrees of freedom on low-scale leptogenesis models. As an archetypal model, we consider the Tri-Resonant Leptogensis${}$ (TRL) scenario introduced recently by the authors, where the neutrino-Yukawa coupling matrix is dictated by an approximate $\mathbb{Z}_n$ discrete symmetry (with $n=3,6$). TRL models exhibit no preferred direction in the leptonic flavour space and have the remarkable feature that leptogenesis can successfully take place even…

This https://arxiv.org/abs/2211.02780 has been replaced.
link: https://scholar.google.com/scholar?q=a

Flexible-step Model Predictive Control based on Generalized Lyapunov Functions
We present a novel nonlinear model predictive control (MPC) scheme with relaxed stability criteria, based on the idea of generalized discrete-time control Lyapunov functions. These functions need to satisfy an average descent over a finite window of time, rather than a descent at every time step. One feature of this scheme is that it allows for implementing a flexible number of control inputs in each iteration, in a computationally attractive manner, while guaranteeing recursive feasibility and…

Image and Video Compression using Generative Sparse Representation with Fidelity Controls
Wei Jiang, Wei Wang
https://arxiv.org/abs/2404.06076 https://

Image and Video Compression using Generative Sparse Representation with Fidelity Controls
We propose a framework for learned image and video compression using the generative sparse visual representation (SVR) guided by fidelity-preserving controls. By embedding inputs into a discrete latent space spanned by learned visual codebooks, SVR-based compression transmits integer codeword indices, which is efficient and cross-platform robust. However, high-quality (HQ) reconstruction in the decoder relies on intermediate feature inputs from the encoder via direct connections. Due to the pro…

This https://arxiv.org/abs/2308.06835 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Generalized Kitaev Spin Liquid model and Emergent Twist Defect
The Kitaev spin liquid model on honeycomb lattice offers an intriguing feature that encapsulates both Abelian and non-Abelian anyons. Recent studies suggest that the comprehensive phase diagram of possible generalized Kitaev model largely depends on the specific details of the discrete lattice, which somewhat deviates from the traditional understanding of "topological" phases. In this paper, we propose an adapted version of the Kitaev spin liquid model on arbitrary planar lattices. Our revised …