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Large language models (LLMs) have demonstrated promising performance in various financial applications, though their potential in complex investment strategies remains underexplored. To address this gap, we investigate how LLMs can predict…

Computational Engineering, Finance, and Science · Computer Science 2024-12-02 Yoshia Abe , Shuhei Matsuo , Ryoma Kondo , Ryohei Hisano

This work introduces the first small-loss and gradual-variation regret bounds for online portfolio selection, marking the first instances of data-dependent bounds for online convex optimization with non-Lipschitz, non-smooth losses. The…

Machine Learning · Computer Science 2023-11-07 Chung-En Tsai , Ying-Ting Lin , Yen-Huan Li

This paper develops new mathematical techniques to identify temporal shifts among a collection of US equities partitioned into a new and more detailed set of market sectors. Although conceptually related, our three analyses reveal distinct…

Statistical Finance · Quantitative Finance 2024-07-11 Nick James , Max Menzies

The era of Large Language Models (LLMs) raises new demands for automatic evaluation metrics, which should be adaptable to various application scenarios while maintaining low cost and effectiveness. Traditional metrics for automatic text…

Computation and Language · Computer Science 2024-10-29 Shuqian Sheng , Yi Xu , Tianhang Zhang , Zanwei Shen , Luoyi Fu , Jiaxin Ding , Lei Zhou , Xiaoying Gan , Xinbing Wang , Chenghu Zhou

The potential benefits of portfolio diversification have been known to investors for a long time. Markowitz (1952) suggested the seminal approach for optimizing the portfolio problem based on finding the weights as budget shares that…

Theoretical Economics · Economics 2019-03-05 Abdulnasser Hatemi-J , Mohamed Ali Hajji , Youssef El-Khatib

This paper presents a novel hierarchical framework for portfolio optimization, integrating lightweight Large Language Models (LLMs) with Deep Reinforcement Learning (DRL) to combine sentiment signals from financial news with traditional…

Portfolio Management · Quantitative Finance 2025-07-25 Benjamin Coriat , Eric Benhamou

The question of optimal portfolio is addressed. The conventional Markowitz portfolio optimisation is discussed and the shortcomings due to non-Gaussian security returns are outlined. A method is proposed to minimise the likelihood of…

Physics and Society · Physics 2008-12-02 Robert Kitt , Jaan Kalda

When assets are correlated, benefits of investment diversification are reduced. To measure the influence of correlations on investment performance, a new quantity - the effective portfolio size - is proposed and investigated in both…

Portfolio Management · Quantitative Finance 2009-04-16 Matus Medo , Chi Ho Yeung , Yi-Cheng Zhang

Investment returns naturally reside on irregular domains, however, standard multivariate portfolio optimization methods are agnostic to data structure. To this end, we investigate ways for domain knowledge to be conveniently incorporated…

Signal Processing · Electrical Eng. & Systems 2019-10-17 Bruno Scalzo Dees , Ljubisa Stankovic , Anthony G. Constantinides , Danilo P. Mandic

We study continuous-time mean--variance portfolio selection in markets where stock prices are diffusion processes driven by observable factors that are also diffusion processes, yet the coefficients of these processes are unknown. Based on…

Portfolio Management · Quantitative Finance 2026-03-31 Yilie Huang , Yanwei Jia , Xun Yu Zhou

The aggregation of individual risks in large credit and insurance portfolios is guided by diversification and the law of large numbers, which formalizes the convergence of sample averages to their means. At the same time, regulatory capital…

Risk Management · Quantitative Finance 2026-05-19 Max Nendel

Natural language processing (NLP) has been widely used in quantitative finance, but traditional methods often struggle to capture rich narratives in corporate disclosures, leaving potentially informative signals under-explored. Large…

Computational Engineering, Finance, and Science · Computer Science 2026-03-17 Chanyeol Choi , Yoon Kim , Yu Yu , Young Cha , V. Zach Golkhou , Igor Halperin , Georgios Papaioannou , Minkyu Kim , Zhangyang Wang , Jihoon Kwon , Minjae Kim , Alejandro Lopez-Lira , Yongjae Lee

LLMs have shown strong performance across diverse financial tasks, yet portfolio management (PM), a critical financial decision-making task, remains poorly benchmarked. Existing benchmarks exhibit two main gaps: they ignore cross-asset…

Artificial Intelligence · Computer Science 2026-05-28 Yuxuan Zhao , Sijia Chen , Ningxin Su

We have developed a novel risk management measure called the concentration risk indicator (CRI). The CRI has been created to address drawbacks with prevailing methodologies and to supplement existing methods. Modified and adapted from the…

Risk Management · Quantitative Finance 2024-08-15 Ravi Kashyap

The integration of Artificial Intelligence (AI) techniques, particularly large language models (LLMs), in finance has garnered increasing academic attention. Despite progress, existing studies predominantly focus on tasks like financial…

We present a novel statistical framework for analyzing stereotypes in large language models (LLMs) by systematically estimating the bias and variation in their generation. Current alignment evaluation metrics often overlook stereotypes'…

Computation and Language · Computer Science 2025-05-27 Yiran Liu , Ke Yang , Zehan Qi , Xiao Liu , Yang Yu , ChengXiang Zhai

This paper introduces a methodology leveraging Large Language Models (LLMs) for sector-level portfolio allocation through systematic analysis of macroeconomic conditions and market sentiment. Our framework emphasizes top-down sector…

Computational Engineering, Finance, and Science · Computer Science 2025-04-11 Ryan Quek Wei Heng , Edoardo Vittori , Keane Ong , Rui Mao , Erik Cambria , Gianmarco Mengaldo

The variance measures the portfolio risks the investors are taking. The investor, who holds his portfolio and doesn't trade his shares, at the current time can use the time series of the market trades that were made during the averaging…

General Economics · Economics 2025-07-08 Victor Olkhov

Robust estimation for modern portfolio selection on a large set of assets becomes more important due to large deviation of empirical inference on big data. We propose a distributionally robust methodology for high-dimensional mean-variance…

Methodology · Statistics 2024-09-12 Ruike Wu , Yanrong Yang , Han Lin Shang , Huanjun Zhu

Starting from the global financial crisis to the more recent disruptions brought about by geopolitical tensions and public health crises, the volatility of risk in financial markets has increased significantly. This underscores the…

Risk Management · Quantitative Finance 2026-01-22 Fei Sun , Jingchao Li , Jieming Zhou