Debraj Das
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View article: First-passage-time asymmetry for biased run-and-tumble processes
First-passage-time asymmetry for biased run-and-tumble processes Open
We explore first-passage phenomenology for biased active processes with a renewal-type structure, focusing in particular on paradigmatic run-and-tumble models in both discrete and continuous state spaces. In general, we show there is no eq…
View article: Does $K$-fold CV based penalty perform variable selection or does it lead to $n^{1/2}$-consistency in Lasso?
Does $K$-fold CV based penalty perform variable selection or does it lead to $n^{1/2}$-consistency in Lasso? Open
Least absolute shrinkage and selection operator or Lasso, introduced by Tibshirani (1996), is one of the widely used regularization methods in regression. It is observed that the properties of Lasso vary wildly depending on the choice of t…
View article: First-Passage-Time Asymmetry for Biased Run-and-Tumble Processes
First-Passage-Time Asymmetry for Biased Run-and-Tumble Processes Open
We explore first-passage phenomenology for biased active processes with a renewal-type structure, focusing in particular on paradigmatic run-and-tumble models in both discrete and continuous state spaces. In general, we show there is no eq…
View article: Run-and-tumble exact work statistics in a lazy quantum measurement engine: stochastic information processing
Run-and-tumble exact work statistics in a lazy quantum measurement engine: stochastic information processing Open
We introduce a single-qubit quantum measurement engine fuelled by backaction energy input. To reduce energetic costs associated with information processing, the measurement outcomes are only used with a prescribed laziness probability in t…
View article: Bootstrapping Lasso in Generalized Linear Models
Bootstrapping Lasso in Generalized Linear Models Open
Generalized linear models or GLM constitute plethora of sub-models which extends the ordinary linear regression by connecting the mean of response variable with the covariates through appropriate link functions. On the other hand, Lasso is…
View article: On the area swept by a biased diffusion till its first-exit time: Martingale approach and gambling opportunities
On the area swept by a biased diffusion till its first-exit time: Martingale approach and gambling opportunities Open
Using martingale theory, we compute, in very few lines, exact analytical expressions for various first-exit-time statistics associated with one-dimensional biased diffusion. Examples include the distribution for the first-exit time from an…
View article: Human perceptual decision making of nonequilibrium fluctuations
Human perceptual decision making of nonequilibrium fluctuations Open
To better characterize the statistical processes underlying human decision-making, we performed experiments where human participants visualized fluctuations of physical nonequilibrium stationary states, and we analyzed responses in the con…
View article: Multi-target search in bounded and heterogeneous environments: a lattice random walk perspective
Multi-target search in bounded and heterogeneous environments: a lattice random walk perspective Open
For more than a century lattice random walks have been employed ubiquitously, both as a theoretical laboratory to develop intuition about more complex stochastic processes and as a tool to interpret a vast array of empirical observations. …
View article: Misconceptions about quantifying animal encounter and interaction processes
Misconceptions about quantifying animal encounter and interaction processes Open
The ability to quantify when and where animals interact is key to the understanding of a plethora of ecological processes, from the structure of social communities and predator–prey relations to the spreading of pathogens and information. …
View article: Misconceptions about quantifying animal encounter and interaction processes
Misconceptions about quantifying animal encounter and interaction processes Open
Quantifying animal interactions is crucial for understanding various ecological processes, including social community structures, predator-prey dynamics, spreading of pathogens and information. Despite the ubiquity of interaction processes…
View article: Erratum: Stochastic resets in the context of a tight-binding chain driven by an oscillating field (2022 J. Stat. Mech. 103210)
Erratum: Stochastic resets in the context of a tight-binding chain driven by an oscillating field (2022 J. Stat. Mech. 103210) Open
View article: Dynamics of lattice random walk within regions composed of different media and interfaces
Dynamics of lattice random walk within regions composed of different media and interfaces Open
We study the lattice random walk dynamics in a heterogeneous space of two media separated by an interface and having different diffusivity and bias. Depending on the position of the interface, there exist two exclusive ways to model the dy…
View article: Dynamics of lattice random walk within regions composed of different media and interfaces
Dynamics of lattice random walk within regions composed of different media and interfaces Open
We study the lattice random walk dynamics in a heterogeneous space of two media separated by an interface and having different diffusivity and bias. Depending on the position of the interface, there exist two exclusive ways to model the dy…
View article: Discrete space-time resetting model: application to first-passage and transmission statistics
Discrete space-time resetting model: application to first-passage and transmission statistics Open
We consider the dynamics of lattice random walks with resetting. The walker moving randomly on a lattice of arbitrary dimensions resets at every time step to a given site with a constant probability r . We construct a discrete renewal equa…
View article: Stochastic resets in the context of a tight-binding chain driven by an oscillating field
Stochastic resets in the context of a tight-binding chain driven by an oscillating field Open
In this work, we study in the framework of the so-called driven tight-binding chain (TBC) the issue of quantum unitary dynamics interspersed at random times with stochastic resets mimicking non-unitary evolution due to interactions with th…
View article: Discrete space-time resetting model: Application to first-passage and transmission statistics
Discrete space-time resetting model: Application to first-passage and transmission statistics Open
We consider the dynamics of lattice random walks with resetting. The walker moving randomly on a lattice of arbitrary dimensions resets at every time step to a given site with a constant probability $r$. We construct a discrete renewal equ…
View article: Quantum unitary evolution interspersed with repeated non-unitary interactions at random times: the method of stochastic Liouville equation, and two examples of interactions in the context of a tight-binding chain
Quantum unitary evolution interspersed with repeated non-unitary interactions at random times: the method of stochastic Liouville equation, and two examples of interactions in the context of a tight-binding chain Open
In the context of unitary evolution of a generic quantum system interrupted at random times with non-unitary evolution due to interactions with either the external environment or a measuring apparatus, we adduce a general theoretical frame…
View article: Quantum random walk and tight-binding model subject to projective measurements at random times
Quantum random walk and tight-binding model subject to projective measurements at random times Open
What happens when a quantum system undergoing unitary evolution in time is subject to repeated projective measurements to the initial state at random times? A question of general interest is: how does the survival probability S m , namely,…
View article: Projective quantum measurements in a tight-binding chain: Stochastic localization and Zeno effect
Projective quantum measurements in a tight-binding chain: Stochastic localization and Zeno effect Open
We address here the issue of quantum measurement in which the interaction between the system at hand and the measuring apparatus causes a collapse of the wave function or the density operator. The analysis is carried out for the prototypic…
View article: Central Limit Theorem in high dimensions: The optimal bound on dimension growth rate
Central Limit Theorem in high dimensions: The optimal bound on dimension growth rate Open
In this article, we try to give an answer to the simple question: “What is the optimal growth rate of the dimensionas a function of the sample sizefor which the Central Limit Theorem (CLT) holds uniformly over the collection of-dimensional…
View article: Quantum systems subject to projective measurements at random times
Quantum systems subject to projective measurements at random times Open
What happens when a quantum system undergoing unitary evolution in time is subject to repeated projective measurements to the initial state at random times? A question of general interest is: How does the survival probability $S_m$, namely…
View article: Temporal Trends in in-Hospital Bleeding and Transfusion in a Contemporary Canadian ST-Elevation Myocardial Infarction Patient Population
Temporal Trends in in-Hospital Bleeding and Transfusion in a Contemporary Canadian ST-Elevation Myocardial Infarction Patient Population Open
View article: Central Limit Theorem and Near classical Berry-Esseen rate for self normalized sums in high dimensions
Central Limit Theorem and Near classical Berry-Esseen rate for self normalized sums in high dimensions Open
In this article, we are interested in the high dimensional normal approximation of $T_n =\Big(\sum_{i=1}^{n}X_{i1}/\Big(\sqrt{\sum_{i=1}^{n}X_{i1}^2}\Big),\dots,$ $\sum_{i=1}^{n}X_{ip}/\Big(\sqrt{\sum_{i=1}^{n}X_{ip}^2}\Big)\Big)$ in $\mat…
View article: Uniform Central Limit Theorem for self normalized sums in high dimensions
Uniform Central Limit Theorem for self normalized sums in high dimensions Open
In this article, we are interested in the normal approximation of the self-normalized random vector $\Big(\frac{\sum_{i=1}^{n}X_{i1}}{\sqrt{\sum_{i=1}^{n}X_{i1}^2}},\dots,\frac{\sum_{i=1}^{n}X_{ip}}{\sqrt{\sum_{i=1}^{n}X_{ip}^2}}\Big)$ in …
View article: Erratum: Critical exponents in mean-field classical spin systems [Phys. Rev. E <b>100</b>, 032131 (2019)]
Erratum: Critical exponents in mean-field classical spin systems [Phys. Rev. E <b>100</b>, 032131 (2019)] Open
This corrects the article DOI: 10.1103/PhysRevE.100.032131.
View article: Central Limit Theorem in High Dimensions : The Optimal Bound on\n Dimension Growth Rate
Central Limit Theorem in High Dimensions : The Optimal Bound on\n Dimension Growth Rate Open
In this article, we try to give an answer to the simple question:\n``\\textit{What is the critical growth rate of the dimension $p$ as a function\nof the sample size $n$ for which the Central Limit Theorem holds uniformly over\nthe collect…
View article: On Second order correctness of Bootstrap in Logistic Regression
On Second order correctness of Bootstrap in Logistic Regression Open
In the fields of clinical trials, biomedical surveys, marketing, banking, with dichotomous response variable, the logistic regression is considered as an alternative convenient approach to linear regression. In this paper, we develop a nov…
View article: Critical exponents in mean-field classical spin systems
Critical exponents in mean-field classical spin systems Open
For mean-field classical spin systems exhibiting a second-order phase transition in the stationary state, we obtain within the corresponding phase-space evolution according to the Vlasov equation the values of the critical exponents descri…
View article: Higher Order Refinements by Bootstrap in Lasso and other Penalized Regression Methods
Higher Order Refinements by Bootstrap in Lasso and other Penalized Regression Methods Open
Selection of important covariates and to drop the unimportant ones from a high-dimensional regression model is a long standing problem and hence have received lots of attention in the last two decades. After selecting the correct model, it…
View article: Trends in the Explanatory or Pragmatic Nature of Cardiovascular Clinical Trials Over 2 Decades
Trends in the Explanatory or Pragmatic Nature of Cardiovascular Clinical Trials Over 2 Decades Open
The level of pragmatism increased moderately over 2 decades of CV trials. Understanding the domains of current and future clinical trials will aid in the design and delivery of CV trials with broader application.