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The dynamic allocation problem, also known as the `multi-armed bandit' problem, simulates a situation in which an agent is faced with a tradeoff between actions that yield an immediate reward and actions whose benefits can only be perceived…

Probability · Mathematics 2026-02-03 Christopher Wang

We study bilateral trade between two strategic agents. The celebrated result of Myerson and Satterthwaite states that in general, no incentive-compatible, individually rational and weakly budget balanced mechanism can be efficient. I.e., no…

Computer Science and Game Theory · Computer Science 2021-11-08 Yuan Deng , Jieming Mao , Balasubramanian Sivan , Kangning Wang

We review the literature on algorithms for estimating the index space in a multi-index model. The primary focus is on computationally efficient (polynomial-time) algorithms in Gaussian space, the assumptions under which consistency is…

Machine Learning · Statistics 2025-06-17 Joan Bruna , Daniel Hsu

The primary objective of this research is to build a Momentum Transformer that is expected to outperform benchmark time-series momentum and mean-reversion trading strategies. We extend the ideas introduced in the paper Trading with the…

Computational Finance · Quantitative Finance 2024-12-18 Max Mason , Waasi A Jagirdar , David Huang , Rahul Murugan

Information coefficient (IC) is a widely used metric for measuring investment managers' skills in selecting stocks. However, its adequacy and effectiveness for evaluating stock selection models has not been clearly understood, as IC from a…

Computational Finance · Quantitative Finance 2020-10-20 Feng Zhang , Ruite Guo , Honggao Cao

We review a resent {\em time-dependent} performance measure for economical time series -- the (optimal) investment horizon approach. For stock indices, the approach shows a pronounced gain-loss asymmetry that is {\em not} observed for the…

Physics and Society · Physics 2008-12-02 Ingve Simonsen , Anders Johansen , Mogens H. Jensen

This paper proposes Incremental Seeded Expectation Maximization, an algorithm that improves upon the traditional Expectation Maximization computational flow for clusterwise or finite mixture linear regression tasks. The proposed method…

Computation · Statistics 2025-07-08 Ye Chow Kuang , Melanie Ooi

One index satisfies the duality axiom if one agent, who is uniformly more risk-averse than another, accepts a gamble, the latter accepts any less risky gamble under the index. Aumann and Serrano (2008) show that only one index defined for…

Risk Management · Quantitative Finance 2022-01-07 Zuo Quan Xu

For $n$ assets and discrete-time rebalancing, the probability to complete a given schedule of investments and withdrawals is maximized over progressively measurable portfolio weight functions. Applications consider two assets, namely the…

Portfolio Management · Quantitative Finance 2024-10-22 Hayden Brown

This paper investigates the degree of efficiency for the Moscow Stock Exchange. A market is called efficient if prices of its assets fully reflect all available information. We show that the degree of market efficiency is significantly low…

Statistical Finance · Quantitative Finance 2022-08-26 Andrey Shternshis , Piero Mazzarisi , Stefano Marmi

An investor faced with a contingent claim may eliminate risk by perfect hedging, but as it is often quite expensive, he seeks partial hedging (quantile hedging or efficient hedging) that requires less capital and reduces the risk. Efficient…

Pricing of Securities · Quantitative Finance 2014-03-31 Kyong-Hui Kim , Myong-Guk Sin

We study optimal investment problem for a diffusion market consisting of a finite number of risky assets (for example, bonds, stocks and options). Risky assets evolution is described by Ito's equation, and the number of risky assets can be…

Probability · Mathematics 2008-12-02 Nikolai Dokuchaev

When dealing with control systems, it is useful and even necessary to assess the performance of underlying transfer functions. The functions may or may not be linear, may or may not be even monotonic. In addition, they may have structural…

Statistics Theory · Mathematics 2018-06-28 Nadezhda Gribkova , Ričardas Zitikis

Given the return series for a set of instruments, a \emph{trading strategy} is a switching function that transfers wealth from one instrument to another at specified times. We present efficient algorithms for constructing (ex-post) trading…

Computational Engineering, Finance, and Science · Computer Science 2010-09-24 Victor Boyarshinov , Malik Magdon-Ismail

This article studies the sensitivity of the power utility maximization problem with respect to the investor's relative risk aversion, the statistical probability measure, the investment constraints and the market price of risk. We extend…

Optimization and Control · Mathematics 2011-07-04 Markus Mocha , Nicholas Westray

Index insurance is often proposed to reduce protection gaps, especially for emerging risks. Unlike traditional insurance, it bases compensation on a measurable index, enabling faster payouts and lower claim management costs. This approach…

Risk Management · Quantitative Finance 2026-02-18 Olivier Lopez , Daniel Nkameni

We derive bounds on the sample complexity of empirical risk minimization (ERM) in the context of minimizing non-convex risks that admit the strict saddle property. Recent progress in non-convex optimization has yielded efficient algorithms…

Machine Learning · Computer Science 2017-06-06 Alon Gonen , Shai Shalev-Shwartz

Currently, the increase in financial returns from economic operations is constrained in view of the lack of a single efficiency criterion, which allows uniquely identify the business operation by their main feature - the possibility of…

Optimization and Control · Mathematics 2015-10-15 Igor Lutsenko

The frequent occurrence of natural disasters has posed significant challenges to society, necessitating the urgent development of effective risk management strategies. From the early informal community-based risk sharing mechanisms to…

Risk Management · Quantitative Finance 2025-08-06 Lichen Wang , Shijia Hua , Yuyuan Liu , Zhengyuan Lu , Liang Zhang , Linjie Liu , Attila Szolnoki

We study the problem of optimal long term portfolio selection with a view to beat a benchmark. Two kinds of objectives are considered. One concerns the probability of outperforming the benchmark and seeks either to minimise the decay rate…

Probability · Mathematics 2017-12-04 Anatolii A. Puhalskii