{"arxiv_id":"1606.02721","incoming":{"papers":11,"sentences":40,"groups":[{"kind":"extends","label":"Builds on it","papers":2,"sentences":4,"quotes":[{"arxiv_id":"2006.06582","title":"Finding Wombling Boundaries in LHC Data with Voronoi and Delaunay Tessellations","url":"/paper/2006.06582","section":"Introduction","sentence":"In this paper we further develop and refine the Voronoi boundary detection methods from Refs. 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[ref] introduced a parameter $ρ$ which measures the ratio of the event densities $dn/da$ on the two sides of the boundary[Since we are interested in detecting a wombling boundary, the parameter $ρ$ as defined here is more suitable than the more familiar ratio $S/B$ of signal to background inside the signal region $P_SR$.","intent_p":0.84,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":3,"sentences":3,"quotes":[{"arxiv_id":"2210.01178","title":"Applying Machine Learning Techniques To Intermediate-Length Cascade Decays","url":"/paper/2210.01178","section":"Review of Phase Space and Kinematic Observables","sentence":"As already mentioned, $Δ_4$ has been shown to be a powerful observable for analyzing this decay chain, both for discovery and for mass measurement purposes [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"1611.04487","title":"Detecting kinematic boundary surfaces in phase space: particle mass measurements in SUSY-like events","url":"/paper/1611.04487","section":"A toy study with uniformly distributed background","sentence":"Second, as shown in [ref] , a uniform background distribution is actually a pretty good approximation to more realistic backgrounds resulting, e.g., from dilepton $tt̅$ events (compare to the results in Section [ref] below).","intent_p":0.98,"contests_p":null},{"arxiv_id":"2006.06582","title":"Finding Wombling Boundaries in LHC Data with Voronoi and Delaunay Tessellations","url":"/paper/2006.06582","section":"Introduction","sentence":"As it turns out, the latter is a very safe assumption — if anything, $f_NP$ is not only non-vanishing, but often enhanced and even singular on the boundary $∂P_NP$ [ref] .","intent_p":0.99,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":2,"sentences":2,"quotes":[{"arxiv_id":"2311.06610","title":"Intrinsic Geometry of Collider Observations and Forman Ricci Curvature","url":"/paper/2311.06610","section":"Introduction","sentence":"In recent years, several efforts have been made to analyze the global patterns of the collider observations using techniques such as Voronoi and Delaunay tessellations [ref] , network distance metrics [ref] , and machine learning based classifications [ref] .","intent_p":0.89,"contests_p":null},{"arxiv_id":"2003.02181","title":"A Quantum Algorithm for Model-Independent Searches for New Physics","url":"/paper/2003.02181","section":"Introduction","sentence":"These include traditional bump-hunting methods, edge detection techniques [ref] and recent machine-learning based approaches [ref] .","intent_p":0.91,"contests_p":null}]}],"unlabelled_sentences":24},"outgoing":{"papers":74,"sentences":109,"groups":[{"kind":"extends","label":"Builds on","papers":1,"sentences":2,"quotes":[{"arxiv_id":"1506.04141","title":"Edge Detecting New Physics the Voronoi Way","url":"/paper/1506.04141","section":"Introduction","sentence":"While the analysis of Ref. 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