12 citations · 31 across the 16 of their papers we have counts for
17 papers
Two-Level Softmax Sampling Done Right: Correcting Bias from Size Imbalance and Dispersion
Walid Bendada, Guillaume Salha-Galvan
Sampling from a softmax distribution is a fundamental operation in machine learning, but its linear complexity in the number of items makes exact sampling impractical at scale. Two…
Asymptotic hydrographs and anomalous dispersion in mass-conserving storage cascades
Henrique Santos Lima, Márk Honti, Balázs Sándor
Sums of independent exponential random variables lead to the Erlang distribution, providing a direct probabilistic route from exponential waiting times to the integer-shape gamma l…
A spectral model of power-law decay in natural and engineered systems
Balázs Sándor, Márk Honti, Henrique Santos Lima
We present a first-principles spectral mechanism for the emergence of nonextensive -exponential dilution and power-law relaxation in non-ideal transport systems. By modeling an…
Purification of a monitored qubit: exact path-integral solution
Matheus M. R. Poltronieri Martins, Henrique Santos Lima
We investigate the purification dynamics of a single qubit under continuous in time monitoring. By employing a collisional model framework where the system interacts sequentially w…
Brain criticality through nonadditive entropic analysis of electroencephalograms
Henrique Santos Lima, Constantino Tsallis, Dimitri M. Abramov
On the grounds of nonadditive entropies -- appropriate for complex systems -- we investigate the electroencephalogram amplitudes of typical and ADHD children. The corresponding pro…
Superstatistical Approach to Turbulent Circulation Fluctuations
Henrique S. Lima, Rodrigo M. Pereira, Luca Moriconi +2
Recent investigations of turbulent circulation fluctuations have uncovered substantial insights into the statistical organization of flow structures and revealed unexpected geometr…
Deep brain microelectrode signal: -statistical approach
Ana Luiza Souza Tavares, Henrique Santos Lima, Artur Pedro Martins Neto +2
We characterize the amplitude statistics of intraoperative microelectrode recordings (MERs) obtained during deep brain stimulation (DBS) surgery in 46 patients with Parkinson's dis…
Universal and non-universal facets of quantum critical phenomena unveiled along the Schmidt decomposition theorem
Samuel M. Soares, Lucas Squillante, Henrique S. Lima +2
Critical phenomena have been extensively investigated both theoretically and experimentally in many fields, such as condensed matter physics, biology, e.g., brain criticality, and…
Neurophysiological correlates to the human brain complexity through -statistical analysis of electroencephalogram
Dimitri Marques Abramov, Daniel de Freitas Quintanilha, Henrique Santos Lima +4
The prospects of assessing neural complexity (NC) by -statistics of the systemic organization of different types and levels of brain activity were studied. In 70 adult subjects,…
Universally non-diverging Grüneisen parameter at critical points
Samuel M. Soares, Lucas Squillante, Henrique S. Lima +2
According to Boltzmann-Gibbs (BG) statistical mechanics, the thermodynamic response, such as the isothermal susceptibility, at critical points (CPs) presents a divergent-like behav…
Fourier's law breakdown for the planar-rotor chain with long-range coupling
Henrique Santos Lima, Constantino Tsallis, Deniz Eroglu +1
The thermal conductivity, , of a homogeneous chain of generically-ranged interacting planar rotors, more precisely the inertial model, is numerically studied with the cou…
Identifying Attention-Deficit/Hyperactivity Disorder through the electroencephalogram complexity
Dimitri Marques Abramov, Henrique Santos Lima, Vladimir Lazarev +2
There are reasons to suggest that a number of mental disorders may be related to alteration in the neural complexity (NC). Thus, quantitative analysis of NC could be helpful in cla…
First-Principle Validation of Fourier's Law: One-Dimensional Classical Inertial Heisenberg Model
Henrique Santos Lima, Constantino Tsallis, Fernando D. Nobre
The thermal conductance of a one-dimensional classical inertial Heisenberg model of linear size is computed, considering the first and last particles in thermal contact with he…
Ising chain: Thermal conductivity and first-principle validation of Fourier law
Henrique Santos Lima, Constantino Tsallis
The thermal conductivity of a lattice of ferromagnetically coupled planar rotators is studied through molecular dynamics. Two different types of anisotropies (local and in th…
Neural complexity -- Statistical-mechanical approach of human electroencephalograms
Dimitri Marques Abramov, Constantino Tsallis, Henrique Santos Lima
The brain is a complex system whose understanding enables potentially deeper approaches to mental phenomena. Dynamics of wide classes of complex systems have been satisfactorily de…
Numerical validation of Ehrenfest theorem in a Bohmian perspective for non-conservative systems
Matheus M. A. Paixão, Henrique Santos Lima
In this work we make a high precision numerical study of the Ehrenfest theorem using the Bohmian approach, where we obtain classical solutions from the quantum trajectories perform…
First-principle validation of Fourier's law in d=1,2,3 classical systems
Constantino Tsallis, Henrique Santos Lima, Ugur Tirnakli +1
We numerically study the thermal transport in the classical inertial nearest-neighbor XY ferromagnet in , the total number of sites being given by , where is th…