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The paper studies machine learning problems where each example is described using a set of Boolean features and where hypotheses are represented by linear threshold elements. One method of increasing the expressiveness of learned hypotheses…

Machine Learning · Computer Science 2011-09-13 R. Khardon , D. Roth , R. A. Servedio

We have constructed a new fermion action which is an approximation to the (chirally symmetric) Fixed-Point action, containing the full Clifford algebra with couplings inside a hypercube and paths built from renormalization group inspired…

High Energy Physics - Lattice · Physics 2015-06-25 P. Hasenfratz , S. Hauswirth , K. Holland , T. Jorg , F. Niedermayer

Lattice fermions obeying the Ginsparg-Wilson relation do correctly represent the physical properties related to chirality. This can be achieved by local fermions, which involve an infinite number of couplings, however. For practical…

High Energy Physics - Lattice · Physics 2017-08-23 W. Bietenholz

We investigate the realization of chiral symmetry in the vicinity of the deconfinement transition in quenched QCD using overlap fermions. Via the index theorem obeyed by the overlap fermions, we gain insight into the behavior of topology at…

High Energy Physics - Lattice · Physics 2015-06-25 Robert G. Edwards , Urs M. Heller , Joe Kiskis , Rajamani Narayanan

Mappings between fermions and qubits are valuable constructions in physics. To date only a handful exist. In addition to revealing dualities between fermionic and spin systems, such mappings are indispensable in any quantum simulation of…

Quantum Physics · Physics 2021-07-14 Charles Derby , Joel Klassen

The overlap operator is just the simplest of a class of Dirac operators with an exact chiral symmetry. I demonstrate how a general class of chiral Dirac operators can be constructed, show that they have no fermion doublers and that they are…

High Energy Physics - Lattice · Physics 2008-11-26 Nigel Cundy

The Carroll algebra is constructed as the $c\to0$ limit of the Poincare algebra and is associated to symmetries on generic null surfaces. In this paper, we begin investigations of Carrollian fermions or fermions defined on generic null…

High Energy Physics - Theory · Physics 2023-04-19 Arjun Bagchi , Aritra Banerjee , Rudranil Basu , Minhajul Islam , Saikat Mondal

This paper introduces a kernel discrepancy-based framework for rerandomization to enhance the precision of causal inference in controlled experiments. We demonstrate that the kernel discrepancy is the key part of the variance upper bound…

Methodology · Statistics 2025-11-05 Yiou Li , Lulu Kang

Algorithmic progress in recent years made it possible to simulate QCD with Nf=2 flavours of O(a)-improved Wilson fermions at very light quark masses. We present the current results for baryon spectrum states, the nucleon axial coupling and…

The origin of the low-lying nature of the $N$*(1440), or Roper resonance, has been the subject of significant interest for many years, including several investigations using lattice QCD. The majority of lattice studies have not observed a…

High Energy Physics - Lattice · Physics 2020-04-16 Adam Virgili , Waseem Kamleh , Derek Leinweber

This paper reviews the checkered history of predictive distributions in statistics and discusses two developments, one from recent literature and the other new. The first development is bringing predictive distributions into machine…

Machine Learning · Computer Science 2017-10-25 Vladimir Vovk , Ilia Nouretdinov , Valery Manokhin , Alex Gammerman

In the spirit of the generalized holographic conjecture, we explore a relationship between the bulk and boundary properties of non-interacting massive Dirac fermions living on a flexible surface, such as a sheet of graphene. We demonstrate…

Strongly Correlated Electrons · Physics 2015-06-16 D. V. Khveshchenko

We present Monte Carlo data showing the comparison between the parton shower generated by the standard DGLAP-CS kernels and that generated with the new IR-improved DGLAP-CS kernels recently developed by one of us(BFLW). We do this in the…

High Energy Physics - Phenomenology · Physics 2010-03-02 S. Joseph , S. Majhi , B. F. L. Ward , S. A. Yost

Magnetic skyrmions are topologically wound nanoscale textures of spins whose ambient stability and electrical manipulation in multilayer films have led to an explosion of research activities. While past efforts focused predominantly on…

We develop a Hamiltonian formalism for simulating interacting chiral fermions on the lattice while preserving unitarity and locality and without breaking the chiral symmetry. The fermion doubling problem is circumvented by constructing a…

High Energy Physics - Lattice · Physics 2024-06-05 Jutho Haegeman , Laurens Lootens , Quinten Mortier , Alexander Stottmeister , Atsushi Ueda , Frank Verstraete

Stimulated Brillouin interactions mediate nonlinear coupling between photons and acoustic phonons through an optomechanical three-wave interaction. Though these nonlinearities were previously very weak in silicon photonic systems, the…

Optics · Physics 2017-08-02 Eric A. Kittlaus , Nils T. Otterstrom , Peter T. Rakich

The quantum action generated by fermions which are minimally coupled to abelian vortex background fields is studied in D=2+1 and D=3+1 Euclidean dimensions. We present a detailed analysis of single- and binary-vortex configurations using…

High Energy Physics - Theory · Physics 2009-11-07 Kurt Langfeld , Laurent Moyaerts , Holger Gies

We report meson spectra obtained by using valence overlap fermion propagators generated on a background of 2+1 flavor domain wall fermion gauge configurations on 16^3 X 32, 24^3 X 64 and 32^3 X 64 lattices. We use many-to-all correlators…

High Energy Physics - Lattice · Physics 2011-07-08 N. Mathur , A. Alexandru , Y. Chen , T. Doi , S. J. Dong , T. Draper , M. Gong , F. X. Lee , A. Li , K. -F. Liu , T. Streuer , J. B. Zhang

The thermodynamics of massless ideal gas of overlap quarks has been investigated both analytically and numerically for both zero and nonzero baryon chemical potential. Any \mu^2-divergence is shown analytically to be absent for a class of…

High Energy Physics - Lattice · Physics 2008-12-18 Debasish Banerjee , R. V. Gavai , Sayantan Sharma

We address the problem of numerical simulations in the background non-trivial topology in the chiral Schwinger model. An effective fermionic action is derived which is in accord with established analytical results, and which satisfies the…

High Energy Physics - Lattice · Physics 2015-06-25 V. Bornyakov , A. Hoferichter , G. Schierholz , A. Thimm