Conditional normalizing flows for IceCube event reconstruction
The IceCube Neutrino Observatory is a cubic-kilometer high-energy neutrino detector deployed in the Antarctic ice. Two major event classes are charged-current electron and muon neutrino...
Direct evaluation of progression or regression of disease burden in brain metastatic disease with Deep Neuroevolution
Purpose: A core component of advancing cancer treatment research is assessing response to therapy. Doing so by hand, for example as per RECIST or RANO criteria, is tedious, time-consuming, and can...
Vertical perimeter versus horizontal perimeter
The discrete Heisenberg group $\mathbb{H}_{\mathbb{Z}}^{2k+1}$ is the group generated by $a_1,b_1,\ldots,a_k,b_k,c$, subject to the relations $[a_1,b_1]=\ldots=[a_k,b_k]=c$ and...
The integrality gap of the Goemans--Linial SDP relaxation for Sparsest Cut is at least a constant multiple of $\sqrt{\log n}$
We prove that the integrality gap of the Goemans--Linial semidefinite programming relaxation for the Sparsest Cut Problem is $\Omega(\sqrt{\log n})$ on inputs with $n$ vertices.
The integrality gap of the Goemans-Linial SDP relaxation for sparsest cut is at least a constant multiple of √log n
Training a Chatbot with Microsoft LUIS: Effect of Intent Imbalance on Prediction Accuracy
$L_1$-distortion of Earth Mover Distances and Transportation Cost Spaces on High Dimensional Grids
We prove that the distortion of any embedding into $L_1$ of the transportation cost space or earth mover distance over a $d$-dimensional grid $\{1,\dots m\}^d$ is $\Omega(\log N)$, where $N$ is...