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A sharp square function estimate for the moment curve in ℝ3
Published 2024“…We prove a sharp (up to 𝐶ε𝑅ε) 𝐿7 square function estimate for the moment curve in ℝ3.…”
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High dimensional estimator of the maximum Sharpe ratio with and without short sales
Published 2020“…A cross-validated weighted estimator is proposed for the population maximum Sharpe ratio with and without short sales. The estimator is an optimal linear combination of a factor analysis-based estimator and a linear shrinkage estimator, which is expected to remain competitive in various covariance structures. …”
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Final Year Project (FYP) -
3
Empirical and biophysical estimations of human cochlea’s psychophysical tuning curve sharpness
Published 2016“…Although efforts had been made to estimate human frequency tuning sharpness from various physiological measurements which are less species dependent such as the compound action potential and stimulus-frequency otoacoustic emission delay, conclusions on the relative frequency tuning sharpness compared with that of other mammals vary. …”
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Journal Article -
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A consensus statement on detection of hippocampal sharp wave ripples and differentiation from other fast oscillations
Published 2022“…Decades of rodent research have established the role of hippocampal sharp wave ripples (SPW-Rs) in consolidating and guiding experience. …”
Journal article -
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A sharp immersed method for 2D flow-body interactions using the vorticity-velocity Navier-Stokes equations
Published 2024“…First, we develop and analyze a moving boundary treatment for sharp immersed methods that can be applied to PDEs with implicitly defined boundary conditions, such as those commonly imposed on the vorticity field. …”
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Matched pair analysis of wide versus narrow focus during shockwave lithotripsy for urolithiasis
Published 2024Journal article -
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Soft cells and the geometry of seashells
Published 2024“…The classical solutions, such as triangles, squares, and hexagons in the plane and cubes and other polyhedra in three-dimensional space are built with sharp corners and flat faces. However, many tilings in Nature are characterized by shapes with curved edges, nonflat faces, and few, if any, sharp corners. …”
Journal article -
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Large deviation estimates of Selberg’s central limit theorem and applications
Published 2023“…The result implies the sharp upper bound for the fractional moments of the Riemann zeta function proved by Heap, Radziwi l l and Soundararajan. …”
Journal article -
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Russia and the return of history
Published 2009“…Riding on the back of the sharp increases in oil prices, Russia is reasserting its big power status. …”
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Commentary -
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Design of frequency response masking filters using window techniques
Published 2009“…Thorough simulations for different bandwidth and window functions demonstrate the feasibility in using frequency response masking method with windowing to achieve sharp filters with acceptable ripples.…”
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Final Year Project (FYP) -
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Screen content image quality assessment and processing
Published 2021“…SCIs usually contain a large amount of sharp edges, hence the perception of SCIs are quite different from that of natural images. …”
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Thesis-Doctor of Philosophy -
14
Non-uniform deblurring for shaken images
Published 2011“…Most existing deblurring methods model the observed blurry image as the convolution of a sharp image with a uniform blur kernel. However, we show that blur from camera shake is in general mostly due to the 3D rotation of the camera, resulting in a blur that can be significantly non-uniform across the image. …”
Journal article -
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EXCELLENT SHEEP : The Miseducation of the American Elite and the Way to a Meaningful Life /
Published 2014“…Excellent Sheep takes a sharp look at the high-pressure conveyor belt that culminates in the skewed applivations Deresiewicz saw firsthand as a member of Yale's admissions committee. …”
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Cracking Common Notions Relating Egg Strength to Impact Orientation
Published 2024“…The chicken egg possesses a shell structure that is conventionally thought to be strongest when loaded on its vertical poles, particularly the sharp end, which resembles a structural arch. This notion has influenced educational activities such as the "egg drop challenge", where participants typically orient the egg with its sharp end facing downwards to improve its chances of resistance to fracture upon impact. …”
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Thesis -
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Exponential tail local Rademacher complexity risk bounds without the Bernstein condition
Published 2024“…The local Rademacher complexity framework is one of the most successful general-purpose toolboxes for establishing sharp excess risk bounds for statistical estimators based on empirical risk minimization. …”
Journal article -
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Query lower bounds for log-concave sampling
Published 2024“…In this work, we establish the following query lower bounds: (1) sampling from strongly log-concave and log-smooth distributions in dimension ≥ 2 requires Ω(log) queries, which is sharp in any constant dimension, and (2) sampling from Gaussians in dimension (hence also from general log-concave and log-smooth distributions in dimension) requires Ωe(min( √ log,)) queries, which is nearly sharp for the class of Gaussians. …”
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Macroscopic models of superconductivity
Published 1991“…We then describe the Ginzburg-Landau theory of superconductivity, in which the sharp interface is `smoothed out' by the introduction of an order parameter, representing the number density of superconducting electrons. …”
Thesis -
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Instrumented indentation studies on metallic and SMART materials
Published 2008“…The objective is to conduct instrumented indention experiments with both spherical and sharp indenters on commonly available ductile metals.…”
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Thesis