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Convex integral functionals of cadlag processes

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Ari-Pekka Perkkiö, Erick Treviño-Aguilar

Optimization and Control · Submitted 10 Dec 2018

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The main results provide a general approach to apply convex duality in a variety of optimization problems ranging from optimal stopping to singular stochastic control and mathematical finance.

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arXiv ID1812.04086 (version 1)
Pith ID5DQWDN76, Pith's permanent record of this paper and its review
CitationAri-Pekka Perkki\"o, Erick Trevi\~no-Aguilar. "Convex integral functionals of cadlag processes." arXiv:1812.04086 (2018). https://pith.science/paper/5DQWDN76
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,935 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.05 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

This article characterizes conjugates and subdifferentials of convex integral functionals over linear spaces of cadlag stochastic processes. The approach is based on new measurability results on the Skorokhod space and new interchange rules of integral functionals that are developed in the article. The main results provide a general approach to apply convex duality in a variety of optimization problems ranging from optimal stopping to singular stochastic control and mathematical finance.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 This article characterizes conjugates and subdifferentials of convex integral functionals over linear spaces of cadlag stochastic processes. contribution 0.91 0.92 0.56 asserted 1.00
s1 The approach is based on new measurability results on the Skorokhod space and new interchange rules of integral functionals that are developed in the article. method 0.93 0.95 0.05 asserted 1.00
s2 The main results provide a general approach to apply convex duality in a variety of optimization problems ranging from optimal stopping to singular stochastic control and mathematical finance. interpretation 0.92 0.81 0.84 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 1.00.

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  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

This article characterizes conjugates and subdifferentials of convex integral functionals over linear spaces of cadlag stochastic processes. The approach is based on new measurability results on the Skorokhod space and new interchange rules of integral functionals that are developed in the article. The main results provide a general approach to apply convex duality in a variety of optimization problems ranging from optimal stopping to singular stochastic control and mathematical finance.

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