I have recently been studying for the Statistical Test Grade Pre-1. Starting from this time, I have entered Chapter 5, "Discrete Distributions." The problem this time is about a student who claims, "I ...

Abstract: We address prehensile pushing, the problem of manipulating a grasped object by pushing against the environment. Our solution is an efficient nonlinear trajectory optimization problem relaxed ...

We demonstrate coherent orbital angular momentum (OAM) generation from chaotic phase screens with discrete integer-valued azimuthal bias. Through Fourier analysis, we prove that coherent OAM amplitude ...

Discrete diffusion models typically rely on dimension-wise factorization to avoid computational intractability. However, we rigorously prove this approach leads to worst-case errors scaling linearly ...

Probability theory is indispensable in computer science: It is at the core of artificial intelligence and machine learning, which require decision making under uncertainty. It is integral to CS theory ...

Abstract: This paper addresses the problem of designing nonlinear discrete-time dynamical systems for prospective use in low-complexity random signal generators. Drawing upon ergodic systems theory, ...

‘Particles caught morphing into waves’ was how a recent preprint from researchers in France was widely reported. The timing could not have been better, for this year is the centenary of Louis de ...

How humans efficiently operate in a world with massive amounts of data that need to be processed, stored, and recalled has long been an unsettled question. Our physical and social environment needs to ...

The utility of evaluating mediation effects spans across research domains. The model facilitates investigation of underlying mechanisms of event timing and, as such, has the potential to help ...

Investopedia contributors come from a range of backgrounds, and over 25 years there have been thousands of expert writers and editors who have contributed. Dr. JeFreda R. Brown is a financial ...