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The max-min fair allocation problem seeks an allocation of resources to players that maximizes the minimum total value obtained by any player. Each player $p$ has a non-negative value $v_{pr}$ on resource $r$. In the restricted case, we…

Data Structures and Algorithms · Computer Science 2018-07-12 Siu-Wing Cheng , Yuchen Mao

We study a discrete portfolio pricing problem that selects one price per product from a finite menu under margin and fairness constraints. To account for demand uncertainty, we incorporate a budgeted robust formulation that controls…

Optimization and Control · Mathematics 2026-03-20 Zi Yuan Eric Shao

Distributed training of $l_1$ regularized classifiers has received great attention recently. Most existing methods approach this problem by taking steps obtained from approximating the objective by a quadratic approximation that is…

Machine Learning · Computer Science 2016-11-25 Dhruv Mahajan , S. Sathiya Keerthi , S. Sundararajan

Online allocation problems with resource constraints have a rich history in operations research. In this paper, we introduce the \emph{regularized online allocation problem}, a variant that includes a non-linear regularizer acting on the…

Optimization and Control · Mathematics 2021-11-08 Santiago Balseiro , Haihao Lu , Vahab Mirrokni

Layer-2 (L2) blockchains inherit Ethereums security guarantees while reducing gas fees. As a result, they are gaining traction among traders at Automated Market Makers (AMMs), sparking debate over whether they contribute to liquidity…

Computational Engineering, Finance, and Science · Computer Science 2025-03-14 Krzysztof Gogol , Manvir Schneider , Claudio Tessone , Benjamin Livshits

We develop a novel formulation of the Performance Estimation Problem (PEP) for decentralized optimization whose size is independent of the number of agents in the network. The PEP approach allows computing automatically the worst-case…

Optimization and Control · Mathematics 2023-02-20 Sebastien Colla , Julien M. Hendrickx

The rapid deployment of distributed energy resources (DERs) is one of the essential efforts to mitigate global climate change. However, a vast number of small-scale DERs are difficult to manage individually, motivating the introduction of…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Tao Tan , Rui Xie , Meng Yang , Yue Chen

We consider a broker who has to place a large order which consumes a sizable part of average daily trading volume. The broker's aim is thus to minimize execution costs he incurs from the adverse impact of his trades on market prices. By…

Trading and Market Microstructure · Quantitative Finance 2013-10-14 Peter Bank , Antje Fruth

We address the liquidation problem arising from the credit risk management in decentralised finance (DeFi) by formulating it as an ergodic optimal control problem. In decentralised derivatives exchanges, liquidation is triggered whenever…

Trading and Market Microstructure · Quantitative Finance 2024-12-02 Jialun Cao , David Šiška

Distributed learning is commonly used for training deep learning models, especially large models. In distributed learning, manual parallelism (MP) methods demand considerable human effort and have limited flexibility. Hence, automatic…

Machine Learning · Computer Science 2025-04-21 Hao Lin , Ke Wu , Jie Li , Jun Li , Wu-Jun Li

This paper deals with a distributed Mixed-Integer Linear Programming (MILP) set-up arising in several control applications. Agents of a network aim to minimize the sum of local linear cost functions subject to both individual constraints…

Optimization and Control · Mathematics 2021-02-12 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano

As the adoption of distributed energy resources grows, power systems are becoming increasingly complex and vulnerable to disruptions, such as natural disasters and cyber-physical threats. Peer-to-peer (P2P) energy markets offer a practical…

Systems and Control · Electrical Eng. & Systems 2024-12-03 Hamed Haggi , Wei Sun

With the advancement of large language models (LLMs), their context windows have rapidly expanded. To meet diverse demands from varying-length requests in online services, existing state-of-the-art systems tune the sequence parallelism (SP)…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-20 Cong Li , Yuzhe Yang , Xuegui Zheng , Qifan Yang , Yijin Guan , Size Zheng , Li-Wen Chang , Shufan Liu , Xin Liu , Guangyu Sun

We study the optimal portfolio liquidation problem over a finite horizon in a limit order book with bid-ask spread and temporary market price impact penalizing speedy execution trades. We use a continuous-time modeling framework, but in…

Probability · Mathematics 2014-01-10 Idris Kharroubi , Huyen Pham

In this paper, a novel quadratic convex optimal power flow model, namely, MDOPF, is proposed to determine the optimal dispatches of distributed generators. Based on the results of MDOPF, two price mechanisms, distribution locational…

Systems and Control · Electrical Eng. & Systems 2020-09-07 Tianshu Yang , Ye Guo , Lirong Deng , Hongbin Sun , Wenchuan Wu

Staking has emerged as a crucial concept following Ethereum's transition to Proof-of-Stake consensus. The introduction of Liquid Staking Derivatives (LSDs) has effectively addressed the illiquidity issue associated with solo staking,…

Cryptography and Security · Computer Science 2024-10-29 Xihan Xiong , Zhipeng Wang , Qin Wang

We propose a model in which dividend payments occur at regular, deterministic intervals in an otherwise continuous model. This contrasts traditional models where either the payment of continuous dividends is controlled or the dynamics are…

Optimization and Control · Mathematics 2019-07-24 Jussi Keppo , Max Reppen , H. Mete Soner

We consider a large-scale parallel-server system, where each server independently adjusts its processing speed in a decentralized manner. The objective is to minimize the overall cost, which comprises the average cost of maintaining the…

Optimization and Control · Mathematics 2023-06-06 Daan Rutten , Martin Zubeldia , Debankur Mukherjee

Decentralized Exchanges (DEXs) are pivotal applications in the Decentralized Finance (DeFi) landscape, aiming to facilitate trustless cryptocurrency trading by relying on smart contracts and blockchain networks. The developments in the DEXs…

Computational Engineering, Finance, and Science · Computer Science 2024-11-05 Mohammad Ali Asef , Seyed Mojtaba Hosseini Bamakan

This paper concerns the mechanism design for online resource allocation in a strategic setting. In this setting, a single supplier allocates capacity-limited resources to requests that arrive in a sequential and arbitrary manner. Each…

Computer Science and Game Theory · Computer Science 2023-10-10 Xiaoqi Tan , Bo Sun , Alberto Leon-Garcia , Yuan Wu , Danny H. K. Tsang
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