Tootfinder

Distortion in Correspondence Analysis and in Taxicab Correspondence Analysis: A Comparison
Vartan Choulakian
https://arxiv.org/abs/2403.00617 https://

Distortion in Correspondence Analysis and in Taxicab Correspondence Analysis: A Comparison
Distortion is a fundamental well-studied topic in dimension reduction papers, and intimately related with the underlying intrinsic dimension of a mapping of a high dimensional data set onto a lower dimension. In this paper, we study embedding distortions produced by Correspondence Analysis and its robust l1 variant Taxicab Correspondence analysis, which are visualization methods for contingency tables. For high dimensional data, distortions in Correspondence Analysis are contractions; while dis…

This https://arxiv.org/abs/2401.01532 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Generating New Spacetimes through Zermelo Navigation
Zermelo navigation is not only a fundamental tool in Finsler geometry but also a fundamental approach to the geometrization of dynamics in physics. In this paper, we consider the Zermelo navigation problem on optical Riemannian space and, via Zermelo/Randers/spacetime triangle, explore the generation of new spacetimes from pre-existing ones. Whether the Randers metric has reversible geodesics corresponds to the presence of time-reversal symmetry in the generated spacetime. In cases where the Ra…

This https://arxiv.org/abs/2403.16962 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

An $α$-potential game framework for $N$-player games
This paper proposes and studies a general form of dynamic $N$-player non-cooperative games called $α$-potential games, where the change of a player's value function upon her unilateral deviation from her strategy is equal to the change of an $α$-potential function up to an error $α$. Analogous to the static potential game (which corresponds to $α=0$), the $α$-potential game framework is shown to reduce the challenging task of finding approximate Nash equilibria for a dynamic game to minimi…

Bulk-Boundary Correspondence in Ergodic and Nonergodic One-Dimensional Stochastic Processes
Taro Sawada, Kazuki Sone, Kazuki Yokomizo, Yuto Ashida, Takahiro Sagawa
https://arxiv.org/abs/2405.00458

Bulk-Boundary Correspondence in Ergodic and Nonergodic One-Dimensional Stochastic Processes
Bulk-boundary correspondence is a fundamental principle in topological physics. In recent years, there have been considerable efforts in extending the idea of geometry and topology to classical stochastic systems far from equilibrium. However, it has been unknown whether or not the bulk-boundary correspondence can be extended to the steady states of stochastic processes accompanied by additional constraints such as the conservation of probability. The present study reveals the general form of b…

This https://arxiv.org/abs/2404.01286 has been replaced.
link: https://scholar.google.com/scholar?q=a

Beyond Linear Response: Equivalence between Thermodynamic Geometry and Optimal Transport
A fundamental result of thermodynamic geometry is that the optimal, minimal-work protocol that drives a nonequilibrium system between two thermodynamic states in the slow-driving limit is given by a geodesic of the friction tensor, a Riemannian metric defined on control space. For overdamped dynamics in arbitrary dimensions, we demonstrate that thermodynamic geometry is equivalent to $L^2$ optimal transport geometry defined on the space of equilibrium distributions corresponding to the control …

This https://arxiv.org/abs/2310.17338 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Acceleration and restart for the randomized Bregman-Kaczmarz method
Optimizing strongly convex functions subject to linear constraints is a fundamental problem with numerous applications. In this work, we propose a block (accelerated) randomized Bregman-Kaczmarz method that only uses a block of constraints in each iteration to tackle this problem. We consider a dual formulation of this problem in order to deal in an efficient way with the linear constraints. Using convex tools, we show that the corresponding dual function satisfies the Polyak-Lojasiewicz (PL) p…

Data-driven analysis of the beauty hadron production in p p collisions at the LHC with Bayesian unfolding
Xiaozhi Bai, Guangsheng Li, Yifei Zhang, Qingyi Situ, Xiaolong Chen
https://arxiv.org/abs/2405.01444

Data-driven analysis of the beauty hadron production in p+p collisions at the LHC with Bayesian unfolding
Heavy flavour production in proton-proton (pp) collisions provides insights into the fundamental properties of Quantum Chromodynamics (QCD). Beauty hadron production measurements are widely performed through indirect approaches based on their inclusive decay modes. A Bayesian unfolding data-driven analysis of the ALICE and LHCb data was performed in this study, which recovers the full kinematic information of the beauty hadrons via different inclusive decay channels. The corresponding beauty ha…

Decoding Radiologists' Intentions: A Novel System for Accurate Region Identification in Chest X-ray Image Analysis
Akash Awasthi, Safwan Ahmad, Bryant Le, Hien Van Nguyen
https://arxiv.org/abs/2404.18981 https://arxiv.org/pdf/2404.18981
arXiv:2404.18981v1 Announce Type: new
Abstract: In the realm of chest X-ray (CXR) image analysis, radiologists meticulously examine various regions, documenting their observations in reports. The prevalence of errors in CXR diagnoses, particularly among inexperienced radiologists and hospital residents, underscores the importance of understanding radiologists' intentions and the corresponding regions of interest. This understanding is crucial for correcting mistakes by guiding radiologists to the accurate regions of interest, especially in the diagnosis of chest radiograph abnormalities. In response to this imperative, we propose a novel system designed to identify the primary intentions articulated by radiologists in their reports and the corresponding regions of interest in CXR images. This system seeks to elucidate the visual context underlying radiologists' textual findings, with the potential to rectify errors made by less experienced practitioners and direct them to precise regions of interest. Importantly, the proposed system can be instrumental in providing constructive feedback to inexperienced radiologists or junior residents in the hospital, bridging the gap in face-to-face communication. The system represents a valuable tool for enhancing diagnostic accuracy and fostering continuous learning within the medical community.

Spin current control of magnetism
L. Chen, Y. Sun, S. Mankovsky, T. N. G. Meier, M. Kronseder, H. Ebert, D. Weiss, C. H. Back
https://arxiv.org/abs/2403.00709

Spin current control of magnetism
Exploring novel strategies to manipulate the order parameter of magnetic materials by electrical means is of great importance, not only for advancing our understanding of fundamental magnetism, but also for unlocking potential practical applications. A well-established concept to date uses gate voltages to control magnetic properties, such as saturation magnetization, magnetic anisotropies, coercive field, Curie temperature and Gilbert damping, by modulating the charge carrier population within…

This https://arxiv.org/abs/2205.15635 has been replaced.
link: https://scholar.google.com/scholar?q=a

Bulk-boundary correspondence in point-gap topological phases
A striking feature of non-Hermitian systems is the presence of two different types of topology. One generalizes Hermitian topological phases, and the other is intrinsic to non-Hermitian systems, which are called line-gap topology and point-gap topology, respectively. Whereas the bulk-boundary correspondence is a fundamental principle in the former topology, its role in the latter has not been clear yet. This Letter establishes the bulk-boundary correspondence in the point-gap topology in non-He…