Research works

State estimator design using Jordan based long short-term memory networks

State estimation of a dynamical system refers to estimating the state of a system given an imperfect model, noisy measurements and some or no information about the initial state. While Kalman filtering is optimal for estimation of linear systems with Gaussian noises, calculation...

Interpolation and Inverse Problems in Spectral Barron Spaces

Abstract. Spectral Barron spaces, which quantify the absolute value of weighted Fourier coefficients of a function, have gained considerable attention due to their capability for universal approximation across certain function classes. By establishing a connection between these s...

Goals, Expectations, and Performance

People and organizations often set goals to self-motivate and achieve better outcomes in challenging tasks. But goals, and their effectiveness, might depend on what people expect to happen. Do goals reflect expectations or do goals set expectations? How do goals and expectations...

End-to-end physics-based modeling of laser-activated color centers in silicon

Color centers are among the most promising candidates for quantum information processing. Central requirements for their practical applications include controlled and efficient local activation in nanophotonic devices and identical spectral features. However, producing color cent...

Estimating present temperature climate in a warming world: probabilistic verification of a model-based approach for years 2008–2025

Abstract When climate changes, statistics derived from past observations become unrepresentative of the true present climate. In 2008, Räisänen and Ruokolainen proposed a model-based method for alleviating this bias. Here, the fidelity of this method in predicting the probability...

Revisiting the Bohr model of the atom through Brownian motion of the electron

Abstract We revisit the Bohr model of the atom through Brownian motion of the electron and the principles of stochastic optimal control. The electron is assumed to have a definite but random position, represented by a single real-valued stochastic process in physical space whose...

Minimal rank of primitively n-universal integral quadratic forms over local rings

Abstract Let F be a local field and let R be its ring of integers. For a positive integer n , an integral quadratic form defined over R is called primitively n -universal if it primitively represents all quadratic forms of rank n . It was proved in [7] that the minimal rank of pr...

Identity bubbles on social media enhance the effects of intolerance of uncertainty and predict support for radical action

Abstract Radicalization and violent extremism endanger the security and stability of modern societies. In the present study, we aimed to improve our understanding of these phenomena by investigating the factors that determine individuals’ support for radical action, with a partic...

Distortion of Multi-Winner Elections on the Line Metric: The Polar Comparison Rule

We study the problem of minimizing metric distortion in multi-winner elections, where a committee of size k is selected from a set of candidates based on voters’ ordinal preferences. We assume that voters and candidates are embedded on a line metric, and social cost is determined...

RSK as a linear operator

Abstract The Robinson–Schensted–Knuth correspondence (RSK) is a bijection between nonnegative integer matrices and pairs of Young tableaux. We study it as a linear operator on the coordinate ring of matrices, proving results about its diagonalizability, eigenvalues, trace, and de...

A probabilistic approach to shape derivatives

Abstract We introduce a novel mesh-free and direct method for computing the shape derivative in PDE-constrained shape optimization problems. Our approach is based on a probabilistic representation of the shape derivative and is applicable for second-order semilinear elliptic PDEs...

The real estate turn in the slum: India’s urban land monetization in comparative perspective

This article contributes to scholarship on Asia’s “real estate turn” through a comparison of in situ “slum redevelopment” programs underway in Delhi and Mumbai that reveals the institutional underpinnings and character of state involvement in each city. Comparative research on st...

The Fourier transform of planar convex bodies and discrepancy over intervals of rotations

This work studies the Fourier transform of the characteristic function of planar convex bodies averaged over affine transformations. We establish lower and upper bounds on the latter quantities in terms of the geometric properties of the bodies considered. The second matter of st...

Gradient Flow Dynamics for Cell Membranes in the Canham–Helfrich Model

Abstract The most energetically efficient way that a deformed red blood cell regains equilibrium is mathematically described by the gradient flow of the Canham–Helfrich functional, including a spontaneous curvature and the conservation of surface area and enclosed volume. Using a...

Introducing a novel 28S rRNA marker for improved assessment of coral reef biodiversity

Biodiversity monitoring based on DNA metabarcoding depends on primer performance. Here, we develop a new metabarcoding primer pair that targets a ~ 318 bp fragment of the 28S rRNA gene. We validate the primer pair in assessing sponges, a notoriously challenging group for coral re...

Estimating the Expected Social Welfare and Cost of Random Serial Dictatorship

We consider the assignment problem, where n agents have to be matched to n items. Each agent has a preference order over the items. In the serial dictatorship (SD) mechanism the agents act in a particular order and pick their most preferred available item when it is their turn to...

The Gaps in the Multiplication Table

We determine the complete list of the gaps between successive elements of the multiplication table of the first N integers.

Impact of educational methods on the oral health literacy of Brazilian adolescents

Introduction: The assessment of oral health literacy (OHL) provides information that allows processing and understanding the presence of gaps in patients' basic health knowledge and, based on its analysis, designing prevention and health promotion actions.Purpose: This study eval...

Noise through an Additional Variable for Mean Field Games Master Equation on Finite State Space

Abstract. This paper provides a mathematical study of the well-posedness of a master equation with terms modeling common noise on finite state space. In this setting, the solution of the master equation depends on an additional variable modeling the value of a stochastic process...

The Effects of Simulated Acid Rain on Growth of Bean

Acid rain is one of the global challenges which environment is suffering from it. Besides development and improvement of science and technology still acid rain is a serious problem to the environment. As acid rain formed from sulfur dioxide and water in the atmosphere, and the so...