Matches in SemOpenAlex for { <https://semopenalex.org/work/W3201408093> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W3201408093 abstract "In this paper, we study a class of online optimization problems with long-term budget constraints where the objective functions are not necessarily concave (nor convex) but they instead satisfy the Diminishing Returns (DR) property. Specifically, a sequence of monotone DR-submodular objective functions ${f_t(x)}_{t=1}^T$ and monotone linear budget functions ${langle p_t,x rangle }_{t=1}^T$ arrive over time and assuming a total targeted budget $B_T$, the goal is to choose points $x_t$ at each time $tin{1,dots,T}$, without knowing $f_t$ and $p_t$ on that step, to achieve sub-linear regret bound while the total budget violation $sum_{t=1}^T langle p_t,x_t rangle -B_T$ is sub-linear as well. Prior work has shown that achieving sub-linear regret is impossible if the budget functions are chosen adversarially. Therefore, we modify the notion of regret by comparing the agent against a $(1-frac{1}{e})$-approximation to the best fixed decision in hindsight which satisfies the budget constraint proportionally over any window of length $W$. We propose the Online Saddle Point Hybrid Gradient (OSPHG) algorithm to solve this class of online problems. For $W=T$, we recover the aforementioned impossibility result. However, when $W=o(T)$, we show that it is possible to obtain sub-linear bounds for both the $(1-frac{1}{e})$-regret and the total budget violation." @default.
- W3201408093 created "2021-09-27" @default.
- W3201408093 creator A5028806064 @default.
- W3201408093 creator A5082237467 @default.
- W3201408093 date "2020-08-01" @default.
- W3201408093 modified "2023-09-24" @default.
- W3201408093 title "Online Continuous DR-Submodular Maximization with Long-Term Budget Constraints" @default.
- W3201408093 hasPublicationYear "2020" @default.
- W3201408093 type Work @default.
- W3201408093 sameAs 3201408093 @default.
- W3201408093 citedByCount "0" @default.
- W3201408093 crossrefType "journal-article" @default.
- W3201408093 hasAuthorship W3201408093A5028806064 @default.
- W3201408093 hasAuthorship W3201408093A5082237467 @default.
- W3201408093 hasConcept C105795698 @default.
- W3201408093 hasConcept C114614502 @default.
- W3201408093 hasConcept C118615104 @default.
- W3201408093 hasConcept C121332964 @default.
- W3201408093 hasConcept C126255220 @default.
- W3201408093 hasConcept C133425853 @default.
- W3201408093 hasConcept C144237770 @default.
- W3201408093 hasConcept C162324750 @default.
- W3201408093 hasConcept C17744445 @default.
- W3201408093 hasConcept C178621042 @default.
- W3201408093 hasConcept C199539241 @default.
- W3201408093 hasConcept C2524010 @default.
- W3201408093 hasConcept C2776261394 @default.
- W3201408093 hasConcept C2778112365 @default.
- W3201408093 hasConcept C2834757 @default.
- W3201408093 hasConcept C33923547 @default.
- W3201408093 hasConcept C50817715 @default.
- W3201408093 hasConcept C54355233 @default.
- W3201408093 hasConcept C61797465 @default.
- W3201408093 hasConcept C62520636 @default.
- W3201408093 hasConcept C8505890 @default.
- W3201408093 hasConcept C86803240 @default.
- W3201408093 hasConceptScore W3201408093C105795698 @default.
- W3201408093 hasConceptScore W3201408093C114614502 @default.
- W3201408093 hasConceptScore W3201408093C118615104 @default.
- W3201408093 hasConceptScore W3201408093C121332964 @default.
- W3201408093 hasConceptScore W3201408093C126255220 @default.
- W3201408093 hasConceptScore W3201408093C133425853 @default.
- W3201408093 hasConceptScore W3201408093C144237770 @default.
- W3201408093 hasConceptScore W3201408093C162324750 @default.
- W3201408093 hasConceptScore W3201408093C17744445 @default.
- W3201408093 hasConceptScore W3201408093C178621042 @default.
- W3201408093 hasConceptScore W3201408093C199539241 @default.
- W3201408093 hasConceptScore W3201408093C2524010 @default.
- W3201408093 hasConceptScore W3201408093C2776261394 @default.
- W3201408093 hasConceptScore W3201408093C2778112365 @default.
- W3201408093 hasConceptScore W3201408093C2834757 @default.
- W3201408093 hasConceptScore W3201408093C33923547 @default.
- W3201408093 hasConceptScore W3201408093C50817715 @default.
- W3201408093 hasConceptScore W3201408093C54355233 @default.
- W3201408093 hasConceptScore W3201408093C61797465 @default.
- W3201408093 hasConceptScore W3201408093C62520636 @default.
- W3201408093 hasConceptScore W3201408093C8505890 @default.
- W3201408093 hasConceptScore W3201408093C86803240 @default.
- W3201408093 hasLocation W32014080931 @default.
- W3201408093 hasOpenAccess W3201408093 @default.
- W3201408093 hasPrimaryLocation W32014080931 @default.
- W3201408093 hasRelatedWork W143635698 @default.
- W3201408093 hasRelatedWork W1611398386 @default.
- W3201408093 hasRelatedWork W1871026852 @default.
- W3201408093 hasRelatedWork W1913735094 @default.
- W3201408093 hasRelatedWork W2549431870 @default.
- W3201408093 hasRelatedWork W2592542720 @default.
- W3201408093 hasRelatedWork W2753222994 @default.
- W3201408093 hasRelatedWork W2792534848 @default.
- W3201408093 hasRelatedWork W2949766032 @default.
- W3201408093 hasRelatedWork W2964234346 @default.
- W3201408093 hasRelatedWork W3037234230 @default.
- W3201408093 hasRelatedWork W3099829074 @default.
- W3201408093 hasRelatedWork W3100867084 @default.
- W3201408093 hasRelatedWork W3129402611 @default.
- W3201408093 hasRelatedWork W3144857528 @default.
- W3201408093 hasRelatedWork W3157633619 @default.
- W3201408093 hasRelatedWork W3201688216 @default.
- W3201408093 hasRelatedWork W3207797135 @default.
- W3201408093 hasRelatedWork W4703758 @default.
- W3201408093 hasRelatedWork W809555510 @default.
- W3201408093 hasVolume "108" @default.
- W3201408093 isParatext "false" @default.
- W3201408093 isRetracted "false" @default.
- W3201408093 magId "3201408093" @default.
- W3201408093 workType "article" @default.