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We consider the multi-period portfolio optimization problem with a single asset that can be held long or short. Due to the presence of transaction costs, maximizing the immediate reward at each period may prove detrimental, as frequent…

Optimization and Control · Mathematics 2025-02-07 Chutian Ma , Paul Smith

In mobile edge computing (MEC) systems, users offload computationally intensive tasks to edge servers at base stations. However, with unequal demand across the network, there might be excess demand at some locations and underutilized…

Information Theory · Computer Science 2021-01-18 Marie Siew , Kun Guo , Desmond Cai , Lingxiang Li , Tony Q. S. Quek

The literature provides strong evidence that stock prices can be predicted from past price data. Principal component analysis (PCA) is a widely used mathematical technique for dimensionality reduction and analysis of data by identifying a…

Mathematical Finance · Quantitative Finance 2018-03-15 Mahsa Ghorbani , Edwin K. P. Chong

The design of distributed algorithms is central to the study of multiagent systems control. In this paper, we consider a class of combinatorial cost-minimization problems and propose a framework for designing distributed algorithms with a…

Systems and Control · Computer Science 2019-03-18 Rahul Chandan , Dario Paccagnan , Jason R. Marden

Financial institutions face a trade-off between predictive accuracy and interpretability when deploying machine learning models for credit risk. Monotonicity constraints align model behavior with domain knowledge, but their performance cost…

Machine Learning · Computer Science 2026-03-17 Petr Koklev

Learning to improve AUC performance is an important topic in machine learning. However, AUC maximization algorithms may decrease generalization performance due to the noisy data. Self-paced learning is an effective method for handling noisy…

Machine Learning · Computer Science 2022-07-11 Bin Gu , Chenkang Zhang , Huan Xiong , Heng Huang

We settle the theoretical ground for the study of automata networks under block-parallel update schedules, which are somehow dual to the block-sequential ones, but allow for repetitions of automaton updates. This gain in expressivity brings…

Discrete Mathematics · Computer Science 2025-03-14 Kévin Perrot , Sylvain Sené , Léah Tapin

Principal component analysis (PCA), a ubiquitous dimensionality reduction technique in signal processing, searches for a projection matrix that minimizes the mean squared error between the reduced dataset and the original one. Since…

Machine Learning · Computer Science 2022-08-25 Guilherme Dean Pelegrina , Leonardo Tomazeli Duarte

We study the problem of optimal execution of a trading order under Volume Weighted Average Price (VWAP) benchmark, from the point of view of a risk-averse broker. The problem consists in minimizing mean-variance of the slippage, with…

Trading and Market Microstructure · Quantitative Finance 2015-09-30 Enzo Busseti , Stephen Boyd

This work studies some aspects of the computational power of fully asynchronous cellular automata (ACA). We deal with some notions of simulation between ACA and Turing Machines. In particular, we characterize the updating sequences…

Formal Languages and Automata Theory · Computer Science 2011-05-03 Jérôme Chandesris , Alberto Dennunzio , Enrico Formenti , Luca Manzoni

We study the risk-sensitive exponential cost MDP formulation and develop a trajectory-based gradient algorithm to find the stationary point of the cost associated with a set of parameterized policies. We derive a formula that can be used to…

Systems and Control · Electrical Eng. & Systems 2022-08-31 Mehrdad Moharrami , Yashaswini Murthy , Arghyadip Roy , R. Srikant

Safety in stochastic control systems, which are subject to random noise with a known probability distribution, aims to compute policies that satisfy predefined operational constraints with high confidence throughout the uncertain evolution…

Systems and Control · Electrical Eng. & Systems 2025-11-12 Saber Omidi , Marek Petrik , Se Young Yoon , Momotaz Begum

We consider rate swaps which pay a fixed rate against a floating rate in presence of bid-ask spread costs. Even for simple models of bid-ask spread costs, there is no explicit strategy optimizing an expected function of the hedging error.…

Computational Finance · Quantitative Finance 2016-04-13 Christophe Michel , Victor Reutenauer , Denis Talay , Etienne Tanré

We revisit the well-studied superhedging problem under proportional transaction costs in continuous time using the recently developed tools of set-valued stochastic analysis. By relying on a simple Black-Scholes-type market model for…

Risk Management · Quantitative Finance 2025-11-25 Atiqah Almuzaini , Çağın Ararat , Jin Ma

We consider the non-stationary stochastic lot sizing problem with backorder costs and make a cost comparison among different lot-sizing strategies. We initially provide an overview of the strategies and some corresponding solution…

Optimization and Control · Mathematics 2021-08-12 Gozdem Dural-Selcuk , Onur A. Kilic , S. Armagan Tarim , Roberto Rossi

Deadlock detection scheduling is an important, yet often overlooked problem that can significantly affect the overall performance of deadlock handling. Excessive initiation of deadlock detection increases overall message usage, resulting in…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-08-04 Yibei Ling , Shigang Chen , Cho-Yu Jason Chiang

We present probabilistic arithmetic automata (PAAs), a general model to describe chains of operations whose operands depend on chance, along with two different algorithms to exactly calculate the distribution of the results obtained by such…

Formal Languages and Automata Theory · Computer Science 2010-11-29 Tobias Marschall , Inke Herms , Hans-Michael Kaltenbach , Sven Rahmann

An optimal solution to the problem of scheduling real-time tasks on a set of identical processors is derived. The described approach is based on solving an equivalent uniprocessor real-time scheduling problem. Although there are other…

Operating Systems · Computer Science 2011-04-19 Paul Regnier , George Lima , Ernesto Massa

We study linear stochastic partial differential equations of parabolic type. We consider a new boundary value problem where a Cauchy condition is replaced by a prescribed average of the solution either over time and probabilistic space for…

Probability · Mathematics 2017-06-22 Nikolai Dokuchaev

We examine different generalizations of checking stack automata by allowing multiple input heads and multiple stacks, and characterize their computing power in terms of two-way multi-head finite automata and space-bounded Turing machines.…

Formal Languages and Automata Theory · Computer Science 2022-12-05 Oscar H. Ibarra , Ian McQuillan
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