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Switch from the original passage to a chapter summary or the document overview. Each view answers a different question: what it says, what this section covers, or what the paper is about.
Interactive example Ā· prepared content, not live AI output
Original
2.1 Notations and Definitions
Given a convex set š ā āįµ, a continuous function f : āįµ ā ā is said to be DR-submodular over š, if for any x ā¤ y ā š and a ā āā ā¦
f(x + aeįµ¢) ā f(x) ā„ f(y + aeįµ¢) ā f(y)
and x ā¤ y means xįµ¢ ā¤ yįµ¢, āi ā [d].
Paper excerpt and explanatory demonstration adapted from DR-submodularity Ā· Lian et al., JMLR 2024 Ā· CC BY 4.0
After processing, read extracted PDF content in a single column and adjust text size and line spacing. Use the outline to move between chapters.
Use the document summary to orient yourself and a chapter summary to preview a section. Return to full passages for definitions, reasoning, and details that a summary leaves out.
Reconstructed text may differ from the original layout, especially around tables, formulas, or scanned pages. Open the original PDF when the presentation itself matters.
A chapter summary focuses on one section. A document summary covers the work as a whole, helping you decide which sections to read next.
It reorganizes extracted content for reading, so it does not reproduce every page exactly. Use the original PDF reference view to inspect the source layout.