A bstract Moments of the leptonic angular distribution in Drell-Yan process have recently been shown to be sensitive probes a specific class dimension-8, four-fermion operators Standard Model Effective Field Theory, involving pair quarks and leptons. The same are also subject positivity bounds, when requiring associated (unknown) UV completion obey basic principles quantum field theory. We perf...

We give a randomized polynomial-time identity test for noncommutative circuits of polynomial degree based on the isolation lemma. Using this result, we show that derandomizing the isolation lemma implies noncommutative circuit size lower bounds. More precisely, we consider two restricted versions of the isolation lemma and show that derandomizing each of them implies nontrivial circuit size low...

We present a nonparametric method for selecting informative features in high-dimensional clustering problems. We start with a screening step that uses a test for multimodality. Then we apply kernel density estimation and mode clustering to the selected features. The output of the method consists of a list of relevant features, and cluster assignments. We provide explicit bounds on the error rat...

Optimization methods for a given class are easily modified to utilize additional information and work faster on a more·restricted class. In particular algorithms that use only the Lipschitz constant (e.g. Mladineo, Piyavskii, Shubert and Wood) can be modified to use second derivative bounds or gradient calculations. The algorithm of Breiman & Cutler can be modified to use Lipschitz bounds. Test...

This paper examines various transmission mechanism channels on economic growth in Malaysia over the quarterly period 1980:1-2004:4 using bounds testing approach. The bounds test reveals evidence of cointegration between the real GDP and the real exchange rate and share prices that address the exchange rate and asset price channels as the key transmission mechanisms in the conduct of the monetar...

This study examines the relationship between renewable energy consumption, poverty alleviation and economic growth in South Africa. The paper applies Autoregressive distributed lag (ARDL) model to examine long run Vector Error Correction Model (VECM) determine direction of causality variables. Quarterly data is used for period 1990 – 2018. findings established a presence poverty, growth, financ...