Marcos M. Lopez de Prado

PUBLICATIONS

There is nothing more practical than a good theory. Many models successfully applied in scientific fields are tremendously useful in addressing critical investment management problems. I have been fortunate enough to meet and work extensively with some of the leading figures in Pure Mathematics, Mathematical Finance, Machine Learning, Market Microstructure and Econometrics. The majority of our findings are kept proprietary. From time to time, however, we decide to publish some of them in peer-reviewed journals.

RECENT PEER-REVIEWED JOURNAL ARTICLES

AUTHORS	TITLE	REFERENCE	INDEX	SUMMARY
Lopez de Prado, Marcos; Lipton, Alexander; Zoonekynd, Vincent	The Case for Causal Factor Investing	Journal of Portfolio Management, 51(1), pp. 146-158. 2024.	JCR (IF = 0.812)	This paper explains the dire consequences of factor investing’s specification errors, and calls for the need to rebuild the discipline under the more scientific foundations of causal factor investing.
Lopez de Prado, Marcos; Simonian, Joseph; Fabozzi, Francesco; Fabozzi, Frank	Enhancing Markowitz's Portfolio Selection Paradigm with Machine Learning	Annals of Operations Research. 2024.	JCR (IF = 4.4) MathSciNet; Zentralblatt MATH; Scopus	By combining traditional econometrics with cutting-edge ML methodologies, we show how to enhance portfolio management processes including alpha generation, risk management, and optimization of risk metrics like conditional value at risk.
Joubert, Jacques; Sestovic, Dragan; Barziy, Illya; Distaso, Walter; Lopez de Prado, Marcos	The Three Types of Backtests (Enhanced Backtesting for Practitioners)	Journal of Portfolio Management, Forthcoming. 2024.	JCR (IF = 0.812)	This article provides practitioners with guidance on adopting more reliable backtesting techniques, by reviewing the three principal types of backtests: Walk-forward, Resampling, and Monte Carlo.
Chung, Joshua; Lopez de Prado, Marcos; Simon, Horst D.; Wu, Kesheng	Data Driven Dimensionality Reduction to Improve Modeling Performance	Proceedings of the 35th International Conference on Scientific and Statistical Database Management, ACM, 2023.		We propose a new method for the clustering of features, and compare its performance with well-known dimensionality reduction methods. We also design a framework for systemtically optimizing the hyperparameters of dimensionality reduction methods.
Diaz Rodriguez, Natalia; del Ser, Javier; Coeckelbergh, Mark; Lopez de Prado, Marcos; Herrera-Viedma, Enrique; Herrera, Francisco	Connecting the Dots in Trustworthy Artificial Intelligence: From AI Principles, Ethics, and Key Requirements to Responsible AI Systems and Regulation	Information Fusion, 99. 2023.	JCR (IF = 18.6) Scopus	Trustworthy Artificial Intelligence (AI) is based on seven technical requirements sustained over three main pillars that should be met throughout the system’s entire life cycle: (1) lawful, (2) ethical, and (3) robust, both from a technical and a social perspective. Our multidisciplinary vision of trustworthy AI also includes a regulation debate, with the purpose of serving as an entry point to this crucial field in the present and future progress of our society.
Lopez de Prado, Marcos	Ranking Empirical Evidence in Finance (The Hierarchy of Empirical Evidence in Finance)	Journal of Portfolio Management, 49(9), pp. 10-29. 2023.	JCR (IF = 0.812)	Recent progress in causal inference has opened a path, however difficult, for advancing financial economics beyond its current phenomenological stage. The goal of this article is to propose a hierarchy of empirical evidence, recognizing that not all types of observations have the same scientific weight, in the sense of enabling the falsification of causal claims.
Lopez de Prado, Marcos	Where are the Factors in Factor Investing?	Journal of Portfolio Management, 49(5), pp. 6-20. 2023.	JCR (IF = 0.812)	In this article, I advocate for the use of causal graphs to modernize the field of factor investing, and set it on a logically-coherent foundation.
Lopez de Prado, Marcos	Confidence and Power of the Sharpe Ratio under Multiple Testing (Type I and Type II Errors of the Sharpe Ratio under Multiple Testing)	Journal of Portfolio Management, 49(1), pp. 39-46. 2022.	JCR (IF = 0.812)	Most papers in the financial literature estimate the p-value associated with an investment strategy, without reporting the power of the test used to make that discovery. In this paper we provide analytic estimates to Type I and Type II errors for the Sharpe ratios of investments, and derive their familywise counterparts. These estimates allow researchers to carefully design experiments with high confidence and power.
Lopez de Prado, Marcos	Beyond Econometrics: A Roadmap Towards Financial Machine Learning (Machine Learning for Econometricians: The Readme Manual)	Journal of Financial Data Science, 4(3), pp. 1-21. 2022.		This article demonstrates that each analytical step of the econometric process has a homologous step in ML analyses. By clearly stating this correspondence, my goal is to facilitate and reconcile the adoption of ML techniques among econometricians.
Lipton, Alexander; Lopez de Prado, Marcos	Mitigation Strategies for COVID-19: Lessons from the K-SEIR Model	Journal of Risk and Financial Management, 15(6), 248. 2022.		We propose an extension to SEIR, the standard epidemiology model. Our approach models the dynamics of heterogeneous groups. This is important for managing the spread of COVID-19, because the disease does not impact equally the entire population.
Bailey, David H.; Lopez de Prado, Marcos	How “Backtest Overfitting” in Finance Leads to False Discoveries	Significance (Royal Statistical Society), 18(6), pp. 22-25. 2021.	MathSciNet; Zentralblatt MATH; Scopus	Commercial investment firms pay researchers for publishing academic articles that promote dubious investment strategies, without controlling for multiple testing. As a consequence, today’s academic finance shows some resemblance with medicine’s predicament during the 1950-2000 period, when Big Tobacco paid for thousands of studies in support of their bottom line. Academic finance’s denial of its reproducibility crisis risks its branding as a pseudoscience.
Lopez de Prado, Marcos; Bailey, David H.	The False Strategy Theorem: A Financial Application of Experimental Mathematics	American Mathematical Monthly, 128(9), pp. 825-831. 2021.	JCR (5Y IF = 0.5) MathSciNet; Zentralblatt MATH; Scopus	We estimate the expected value of the maximum Sharpe ratio as a function of the number of trials. Through experimental mathematics, we evaluate the accuracy of the estimate. The implication is that there is no Sharpe ratio threshold above which we may reject the hypothesis that a strategy is false. With enough number of trials, any false strategy may achieve a Sharpe ratio as high as a researcher demands.
Easley, David; Lopez de Prado, Marcos; O'Hara, Maureen; Zhang, Zhibai	Microstructure in the Machine Age	Review of Financial Studies, 34(7), pp. 3316-3363. 2021.	JCR (5Y IF = 6.663)	We demonstrate how a machine learning algorithm can be applied to predict and explain modern market microstructure phenomena. We find that some microstructure-based measures are useful for out-of-sample prediction of various market statistics, leading to questions about the efficiency of markets. Our results are derived using 87 of the most liquid futures contracts across all asset classes.
Lipton, Alexander; Lopez de Prado, Marcos	A Closed-Form Solution for Optimal Onrstein-Uhlenbeck driven trading strategies	International Journal of Theoretical and Applied Finance, 23(8), 2050056. 2020.	JCR (IF = 0.5) MathSciNet; Zentralblatt MATH; Scopus	The price behavior of intraday prices can be approximated through an Ornstein-Uhlenbeck (OU) process. Using the method of heat potentials, we develop an analytical framework that derives the optimal trading levels of profit-taking, stop-losses, and maximum investment horizon.
Lipton, Alexander; Lopez de Prado, Marcos	A Closed-Form Solution for Optimal Mean-Reverting Trading Strategies	Risk Magazine, June 2020.		When prices reflect all available information, they oscillate around an equilibrium level. This price behavior can be approximated through an Ornstein-Uhlenbeck (OU) process. A mean-reverting trading strategy can monetize this oscillation at appropriate profit-taking, stop-loss and maximum-horizon levels. This paper develops an analytical framework that derives those optimal levels by using the method of heat potentials.
Lopez de Prado, Marcos	Tactical Investment Algorithms	Alternative Investment Analyst Review (CAIA), 9(1), pp. 61-65. 2020.		There are three fundamental ways of testing the validity of an investment algorithm against historical evidence: a) the walk-forward method; b) the resampling method; and c) the Monte Carlo method. This papers studies the pros and cons of each method, and explains how investment firms may be organized for utilizing the Monte Carlo method.
Lipton, Alexander; Lopez de Prado, Marcos	What Quants Can Learn from the COVID Crisis	Risk Magazine, April 2020.		Many quantitative firms have suffered substantial losses as a result of the COVID-19 selloff. In this note, we highlight three lessons that quantitative researchers could learn from this crisis.
Song, Jung H.; Lopez de Prado, Marcos; Simon, Horst D.; Wu, Kesheng	Extracting Signals from High-Frequency Trading with Digital Signal Processing Tools	Journal of Financial Data Science, 1(4), pp. 124-138. 2019.		As algorithmic trading becomes more prevalent across all markets, cascading effects similar to the Flash Crash of May 6th 2010 become more likely. A case in point are the impact of weather forecasts on Natural Gas trading. We find that the Fourier components corresponding to high frequencies are becoming more prominent in the recent years, and are much stronger than what could be expected from the structure of this market.
Lopez de Prado, Marcos; Lewis, Michael	Detection of False Investment Strategies Using Unsupervised Learning Methods	Quantitative Finance, 19(9), pp.1555-1565. 2019.	JCR (IF = 1.170) MathSciNet; Zentralblatt MATH; Scopus	In this paper we examine why false positives are so prevalent in finance, and we offer a practical solution to this industrywide problem.
Lopez de Prado, Marcos; Fabozzi, Frank	Crowdsourced Investment Research through Tournaments	Journal of Financial Data Science, 1(4), pp. 1-8. 2019.		Tournaments can overcome the two research barriers (domain-specific knowledge and data barriers), hence enabling the wide population of data scientists to contribute to the development of investment strategies. Accordingly, they constitute a viable quantitative organization paradigm, alongside the silo, factory, and platform paradigms.
Lopez de Prado, Marcos; Vince, Ralph; Zhu, Jim	Optimal Risk Budgeting Under a Finite Investment Horizon	Risks, 7(3), pp. 86-120. 2019.	Scopus-SciVerse; Web of Science	Growth Optimal Portfolio (GOP) theory determines the path of bet sizes that maximize long-term wealth. This multi-horizon goal makes it more appealing among practitioners than myopic approaches, like Markowitz's efficient frontier. The GOP literature typically considers risk-neutral investors with an infinite investment horizon. In this paper, we compute the optimal bet sizes in the more realistic setting of risk-averse investors with finite investment horizons.
Lopez de Prado, Marcos	A Data Science Solution to the Multiple-Testing Crisis in Financial Research	Journal of Financial Data Science, 1(1), pp. 99-110. 2019.		Most discoveries in empirical finance are false, as a consequence of selection bias under multiple testing. We present a real example of how the adjusted false positive probability can be computed and reported for public consumption.
Simonian, Joseph; Lopez de Prado, Marcos; Fabozzi, Frank	Order from Chaos: How Data Science Is Revolutionizing Investment Practice	Journal of Portfolio Management, 45(1), pp. 1-4. 2018.	JCR (IF = 0.812)	We describe some of the limitations of the econometrics toolkit, and how financial data science is helping overcome those limitations.
Fabozzi, Frank; Lopez de Prado, Marcos	Being Honest in Backtest Reporting: A Template For Disclosing Multiple Tests	Journal of Portfolio Management, 45(1), pp. 141-147. 2018.	JCR (IF = 0.812)	We propose a template that practitioners could use when pitching strategies to clients and senior management. By disclosing this information, those who are charged with making the final decision about a discovery can evaluate the probability that the purported discovery is false.
Aparicio, Diego; Lopez de Prado, Marcos	How Hard is to Pick the Right Model?	Algorithmic Finance, 7(1-2), pp. 53-61. 2018.	MathSciNet; Zentralblatt MATH	We evaluate the performance of the model confidence set (MCS) introduced in Hansen et al. (2011). We find that MCS is not robust to multiple testing and that it requires a very high signal-to-noise ratio to discirimnate between true and false positives.
Lopez de Prado, Marcos	The 10 Reasons Most Machine Learning Funds Fail	Journal of Portfolio Management, 44(6), pp. 120-133. 2018.	JCR (IF = 0.812)	The rate of failure in quantitative finance is high, and particularly so in financial machine learning. The few managers who succeed amass a large amount of assets, and deliver consistently exceptional performance to their investors. However, that is a rare outcome, for the reasons outlined in this paper.
Bailey, David H.; Borwein, Jon M.; Salehipour, Amir; Lopez de Prado, Marcos	Evaluation and Ranking of Market Forecasters	Journal of Investment Management, 16(2), pp. 47-64. April 2018.		We develop a novel ranking methodology to rank the market forecaster. In particular, we distinguish forecasts by their specificity, rather than considering all predictions and forecasts equally important, and we also analyze the impact of the number of forecasts made by a particular forecaster. We have applied our methodology on a dataset including 6,627 forecasts made by 68 forecasters.
Lopez de Prado, Marcos	Machine Learning Funds and Investment Malpractice	Oxford Business Law, March, 2018.		Although there are no laws specifically prohibiting backtest overfitting (yet), investors may have a legal case against this widespread investment malpractice that professional associations of mathematicians have deemed unethical.
Lopez de Prado, Marcos; Fabozzi, Frank	Who needs a Newtonian Finance?	Journal of Portfolio Management, 44(1), pp. 1-4. Fall 2017.	JCR (IF = 0.812)	In this article, we discuss economics' obsession with calculus. Instead of focusing on that narrow topic, economics and finance students should be taught a much wider variety of mathematical subjects.
Easley, David; Lopez de Prado, Marcos; O'Hara, Maureen	An Improved Version of the Volume-Synchronized Probability of Informed Trading (VPIN): A Comment	Critical Finance Review, 6(2), pp. 377-379. 2017.	JCR (IF = 1.6)	Ke and Lin provide a valuable alternative approach to estimating the Volume-Synchronized Probability of Informed Trading (VPIN) measure.
Bailey, David H.; Borwein, Jon M.; Lopez de Prado, Marcos; Zhu, Jim	The Probability of Backtest Overfitting	Journal of Computational Finance, 20(4), pp. 39-70. 2017.	JCR (5Y IF = 0.831) MathSciNet; Zentralblatt MATH	We propose a framework that estimates the probability of backtest overfitting (PBO) specifically in the context of investment simulations, through a numerical method that we call combinatorially symmetric cross-validation (CSCV). We show that CSCV produces accurate estimates of the probability that a particular backtest is overfit. Mathematical Appendices available here.
Lopez de Prado, Marcos	Finance as an Industrial Science	Journal of Portfolio Management, 43(4), pp. 5-9. Summer 2017.	JCR (IF = 0.812)	Finance cannot become a rigorous science (in the Popperian or Lakatosian sense), however it can still operate as an “industrial science”. This article describes the scientific method by which industrial finance discovers through experimentation, and avoids false discoveries.
Bailey, David H.; Borwein, Jon M.; Lopez de Prado, Marcos	Stock portfolio design and backtest overfitting	Journal of Investment Management, 15(1), pp.1-13. 2017.		We demonstrate a computer program that designs a portfolio consisting of common securities, such as the constituents of the S&P 500 index, that achieves any desired profile via in-sample backtest optimization. These portfolios typically perform erratically on more recent, out-of-sample data, which is symptomatic of selection bias. One implication of these results is that so-called smart beta funds, which are designed in-sample to deliver a desirable performance pro file, are likely to disappoint out-of-sample.
Rosenberg, Gili; Poya Haghnegahdar; Goddard, Phil; Lopez de Prado, Marcos; Carr, Peter; Wu, Kesheng	Solving the Optimal Trading Trajectory Problem Using a Quantum Annealer	IEEE Journal of Selected Topics in Signal Processing, 10(6), pp. 1053-1060. September 2016.	JCR (IF = 4.361) MathSciNet; Zentralblatt MATH	We solve a multi-period portfolio optimization NP-complete problem using D-Wave's quantum annealer. The formulation incorporates transaction costs (including permanent and temporary market impact) and, significantly, the solution does not require the inversion of a covariance matrix. The discrete multi-period portfolio optimization problem we solve is significantly harder than the continuous variable problem.
Lopez de Prado, Marcos	Mathematics and Economics: A reality check	Journal of Portfolio Management, 43(1), pp. 5-8. Fall 2016.	JCR (IF = 0.812)	Economics (and by extension finance) is arguably one of the most mathematical fields of research. However, economists’ choice of math may be inadequate to model the complexity of social institutions. In a constructive spirit, this note offers some advice on how students could increase their chances of having a successful career in 21st century finance. Practitioners seeking to enhance their skillset may also draw some ideas.
Lopez de Prado, Marcos; Rebonato, Riccardo	Kinetic Component Analysis	Journal of Investing, 25(3), pp. 142-154. Fall 2016.		We introduce Kinetic Component Analysis (KCA), a state-space application that extracts the signal from a series of noisy measurements by applying a Kalman Filter on a Taylor expansion of a stochastic process. We show that KCA presents several advantages compared to other popular noise-reduction methods such as Fast Fourier Transform (FFT) or Locally Weighted Scatterplot Smoothing (LOWESS).
Lopez de Prado, Marcos	Building Diversified Portfolios that Outperform Out-Of-Sample	Journal of Portfolio Management, 42(4), pp. 59-69. Summer 2016.	JCR (IF = 0.812)	HRP portfolios address three major concerns of quadratic optimizers in general and Markowitz’s CLA in particular: Instability, concentration and underperformance. Monte Carlo experiments show that HRP delivers lower out-of-sample variance than CLA, even though minimum-variance is CLA’s optimization objective. HRP also produces less risky portfolios out-of-sample compared to traditional risk parity methods.
Lopez de Prado, Marcos	Algorithmic and High Frequency Trading	Quantitative Finance, 16(8), pp. 1175-1176, 2016.	JCR (IF = 1.170) MathSciNet; Zentralblatt MATH; Scopus	A review of the monograph recently published by Cambridge University Press.
Easley, David; Lopez de Prado, Marcos; O'Hara, Maureen	Discerning Information From Trade Data	Journal of Financial Economics, 120(2), pp. 269-286. May 2016.	JCR (5Y IF = 7.513)	We examine the accuracy of three methods for classifying trade data: Bulk Volume Classification (BVC), Tick Rule and Aggregated Tick Rule. We develop a Bayesian model of inferring information from trade executions, and show that BVC has the highest explanatory power over the bid-ask spread.
Bailey, David H.; Borwein, Jon M.; Salehipour, Amir; Lopez de Prado, Marcos; Zhu, Jim	Backtest Overfitting in Financial Markets	Automated Trader, Issue 39. Spring 2016.		We introduce two online backtest overfitting tools: BODT simulates the overfitting of seasonal strategies (typical of technical analysis), and TMST simulates the overfitting of econometric strategies (typical of academic journals). We show that econometric methods lend themselves to extreme levels of overfitting, casting doubt on most investment strategies published in academic journals.
Bailey, David H.; Lopez de Prado, Marcos	Stop-Outs Under Serial Correlation and "The Triple Penance Rule"	Journal of Risk, 18(2), pp. 61-93. Fall 2015.	JCR (5Y IF = 1.794)	We develop a framework for informing the decision of stopping a portfolio manager or investment strategy once it has reached a loss or time under water limit for a certain confidence level. Under standard portfolio theory assumptions, we show that it takes three times longer to recover from the expected maximum drawdown than the time it takes to produce it, with the same confidence level. Mathematical Appendices available here.
Lopez de Prado, Marcos	Recent Trends in Empirical Finance	Journal of Portfolio Management, 42(1), pp. 29-33. Fall 2015.	JCR (IF = 0.812)	Financial economics is a surprisingly prolific, topic redundant, asocial field, where most papers go largely ignored. Author collaboration improves scientific output, and yet financial economics seems to be one of the least cooperative empirical fields. If these trends continue, financial economics may be in the path to become a pathological science, a collection of “cold fusion” claims.
Easley, David; Lopez de Prado, Marcos; O'Hara, Maureen	Optimal Execution Horizon	Mathematical Finance, 25(3), pp. 640-672. July 2015.	JCR (IF = 2.714) MathSciNet; Zentralblatt MATH	Execution traders know that market impact greatly depends on whether their orders lean with or against the market. And yet, the literature on optimal execution strategies rarely incorporates order imbalance in the modeling of transaction costs. We introduce the OEH model, which considers this fact when determining the optimal trading horizon for an order, an input required by many sophisticated execution strategies.
Lopez de Prado, Marcos	The Future of Empirical Finance	Journal of Portfolio Management, 41(4), pp. 140-144. Summer 2015.	JCR (IF = 0.812)	Empirical Finance is in crisis: Our most important discovery tool is historical simulation, and yet, most backtests and time series analyses published in journals are flawed. The problem is well-known to professional organizations of Statisticians and Mathematicians, who have publicly criticized the misuse of mathematical tools among Finance researchers. In this note I point to three problems and propose four practical solutions. An interview on this research appeared in IIJ's Practical Applications (Winter 2016).
Lopez de Prado, Marcos	Quantitative Meta-Strategies	Practical Applications, Institutional Investor Journals, 2(3), pp. 1-3, Winter 2014.		Quantitative Meta-Strategies (QMS) are quantitative strategies designed to manage investment strategies. As a field, QMS can be defined as the mathematical study of the decisions made by the supervisor of a team of investment managers, regardless of whether their investment style is systematic or discretionary.
Bailey, David H.; Borwein, Jon M.; Lopez de Prado, Marcos; Zhu, Jim	Pseudo-Mathematics and Financial Charlatanism: The Effects of Backtest Overfitting on Out-Of-Sample Performance	Notices of the American Mathematical Society, 61(5), pp. 458-471. May 2014.	JCR (IF = 0.912) MathSciNet; Zentralblatt MATH	We prove that high simulated performance is easily achievable after backtesting a relatively small number of alternative strategy configurations, a practice we denote “backtest overfitting”. Because financial analysts rarely report the number of configurations tried for a given backtest, investors cannot evaluate the degree of overfitting in most investment proposals. This is one of the first Mathematical Finance papers published in the Notices of the AMS, the official membership journal of the American Mathematical Society.
Lopez de Prado, Marcos; Foreman, Matthew	A Mixture of Gaussians Approach to Mathematical Portfolio Oversight: The EF3M Algorithm	Quantitative Finance, 14(5), pp. 913-930. 2014.	JCR (IF = 1.170) MathSciNet; Zentralblatt MATH; Scopus	We solve the "Nonic Polynomial problem" posed by Karl Pearson in the 1894 edition of the Philosophical Transactions of the Royal Society. We apply quantitative methodologies originated in the Mathematical Theory of Evolution to model the dynamics of investment styles within a fund.
Bailey, David H.; Lopez de Prado, Marcos	The Deflated Sharpe Ratio: Correcting for Selection Bias, Backtest Overfitting and Non-Normality	Journal of Portfolio Management, 40 (5), pp. 94-107. 2014 (40th Anniversary Special Issue).	JCR (IF = 0.812)	The Deflated Sharpe Ratio (DSR) corrects for two leading sources of performance inflation: Selection bias under multiple testing and non-Normally distributed returns. In this interview, Prof. Bailey speaks about our work. IIJ's Practical Applications (Winter 2015) featured this work. Other authors in this JPM Special Issue include: Cliff Asness (AQR), John Bogle (Vanguard), Mohamed El-Erian (Allianz), Robert Kapito (BlackRock), Mark Kritzman (Windham), Martin Leibowitz (Morgan Stanley), Burton Malkiel (Princeton) and Marc Reinganum (State Street).
Calkin, Neil; Lopez de Prado, Marcos	Stochastic Flow Diagrams	Algorithmic Finance, 3(1), pp. 21-42. 2014.	MathSciNet; Zentralblatt MATH	We introduce Stochastic Flow Diagrams (SFDs), a new mathematical approach to represent complex dynamic systems into a single weighted digraph. This topological representation provides a way to visualize what otherwise would be a morass of equations in differences.
Song, Jung H.; Lopez de Prado, Marcos; Simon, Horst D.; Wu, Kesheng	Exploring Irregular Time Series Through the Non-Uniform Fourier Transform	Proceedings of the International Conference for High Performance Computing, IEEE, 2014.		We explore the frequency domain of irregular time series by applying a Non-Uniform Fast Fourier Transform (NUFFT) on Natural Gas Futures prices. We show that High-Frequency Traders are responsible for a growing number of cyclical patterns. In particular, we observe the emergence of a new power law in the Fourier spectra in recent years.
Easley, David; Lopez de Prado, Marcos; O'Hara, Maureen	VPIN and the Flash Crash: A Rejoinder	Journal of Financial Markets, 17(1), pp. 47-52. 2014.	JCR (5Y IF = 2.234)	Discusses implementation cautions with regards to VPIN empirical studies.
Calkin, Neil; Lopez de Prado, Marcos	The Topology of Macro Financial Flows: An Application of Stochastic Flow Diagrams	Algorithmic Finance, 3(1), pp. 43-85. 2014.	MathSciNet; Zentralblatt MATH	We construct a network of financial instruments and show how Stochastic Flow Diagrams (SFDs) allow researchers to monitor the flow of capital across the financial system. Because our approach is dynamic, it models how and for how long a financial shock propagates through the system.
Bailey, David H.; Lopez de Prado, Marcos	An Open-Source implementation of the Critical-Line Algorithm for Portfolio Optimization	Algorithms, 6(1), pp. 169-196. 2013.	JCR (5Y IF = 1.9) MathSciNet; Zentralblatt MATH; Scopus-SciVerse	We fill a gap in the literature by providing a well-documented, step-by-step open-source implementation of the Critical-Line Algorithm (CLA) in a scientific language. We discuss the logic behind CLA following the algorithm’s decision flow. In addition, we have developed several utilities that facilitate the answering of recurrent practical problems.
Bailey, David H.; Lopez de Prado, Marcos	The Strategy Approval Decision: A Sharpe Ratio Indifference Curve Approach	Algorithmic Finance, 2(1), pp. 99-109. 2013.	MathSciNet; Zentralblatt MATH	The problem of capital allocation to a set of strategies could be partially avoided, or at least greatly simplified, with an appropriate strategy approval decision process. This paper proposes such procedure, by splitting the capital allocation problem into two sequential stages: Strategy approval and portfolio optimization.
Bailey, David H.; Lopez de Prado, Marcos	The Sharpe Ratio Efficient Frontier	Journal of Risk, 15(2), pp. 3-44, Winter. 2012.	JCR (5Y IF = 1.794)	Introduced the Probabilistic Sharpe Ratio (PSR), a new uncertainty-adjusted investment skill metric that corrects the inflationary effect that Non-Normality has on Sharpe Ratio estimates. It also determines the Minimum Track Record Length (MinTRL) needed to evidence skill. A Sharpe Ratio Efficient Frontier (SEF) arises, based on return-on-risk rather than return-on-capital.
Bailey, David H.; Lopez de Prado, Marcos	Balanced Baskets: A new approach to Trading and Hedging Risks	Journal of Investment Strategies, 1(4), pp. 21-62. Fall, 2012.	JCR (IF = 0.2)	Introduced the notion of Balanced Baskets, which are portfolios of instruments that evenly spread risks or exposures across their constituents without requiring a change of basis, like PCA. It also developed the algorithms needed to compute such baskets in hedging as well as trading applications. Finally, it also contributed a new procedure for covariance clustering.
Easley, David; Lopez de Prado, Marcos; O'Hara, Maureen	The Volume Clock: Insights into the High Frequency Paradigm	Journal of Portfolio Management, 39(1), pp. 19-29. Fall, 2012.	JCR (IF = 0.812)	This paper has been cited by Market Regulators [1, 2, 3] for deepening their understanding of the phenomenon of High Frequency Trading (HFT), beyond the simple notion of "speed trading". In particular, it argues that at the heart of HFT is a new investment paradigm based on making decisions in Volume Time. IIJ's Practical Applications (Fall 2013) featured this work.
Easley, David; Lopez de Prado, Marcos; O'Hara, Maureen	Flow Toxicity and Liquidity in a High Frequency World	Review of Financial Studies, 25(5), pp. 1457-1493. 2012.	JCR (5Y IF = 6.663)	Developed a new procedure to estimate the flow toxicity impacting market makers, the Volume Synchronized Probability of Informed Trading (VPIN). This metric has been shown to anticipate liquidity crises (including the Flash Crash) and to be a good predictor of toxicity-induced volatility. CFTC's HFT guidelines cite this publication.
Lopez de Prado, Marcos; Leinweber, David	Advances in Cointegration and Subset Correlation Hedging Methods	Journal of Investment Strategies, 1(2), pp. 67-115. Spring, 2012.	JCR (IF = 0.2)	Introduced two new hedging methods, called Dickey-Fuller Optimization (DFO) and Mini-Max Subset Correlation (MMSC). The former is a dynamic, cointegration based method while the latter is a static, balanced-basket method to evenly distribute exposure among portfolio constituents. It also generalized the Box-Tiao Canonical Decomposition (BTCD) method.
Easley, David; Lopez de Prado, Marcos; O'Hara, Maureen	The Exchange of Flow Toxicity	Journal of Trading, 6(2), pp. 8-13. Spring, 2011.		It introduced the concept of "Market Makers' Asymmetric Payoff Dilemma", which characterizes a liquidity provider as the seller of a real-option to be adversely selected. Since that option cannot be dynamically replicated, a new contract is proposed to allow market makers to hedge such risks.
Easley, David; Lopez de Prado, Marcos; O'Hara, Maureen	The Microstructure of the ‘Flash Crash’: Flow Toxicity, Liquidity Crashes and the Probability of Informed Trading	Journal of Portfolio Management, 37(2), pp. 118-128. Winter, 2011.	JCR (IF = 0.812)	This has become one of the most read papers in Finance, according to SSRN. It analyses the "Flash Crash" from a microstructure perspective, and concludes that it was a liquidity crises which resulted from market makers receiving persistently toxic order flow for at least 2 hours before the crash actually unfolded.
Lopez de Prado, Marcos; Peijan, Achim	Measuring Loss Potential of Hedge Fund Strategies	Journal of Alternative Investments, 7(1), pp. 7-31. Summer, 2004.		It developed a new risk framework for assessing hedge funds' loss potential, considering Non-Normal and Serially-Correlated returns. It shows that the IID Normal assumption, ubiquitous in financial risk modeling, leads to a great underestimation of the loss potential of hedge funds.

PEER-REVIEWED ACADEMIC BOOKS

AUTHORS	TITLE	REFERENCE	SUMMARY
Lopez de Prado, Marcos	Causal Factor Investing	Cambridge University Press, 2023.	Factor investing remains at a phenomenological stage, as a consequence of authors not formulating causal theories that explain the observed associations. This monograph analyzes the current state of causal confusion in the factor investing literature, and proposes solutions with the potential to transform factor investing into a truly scientific discipline.
Lopez de Prado, Marcos	Machine Learning for Asset Managers	Cambridge University Press, 2020.	The purpose of this monograph is to introduce ML tools that are useful for discovering economic and financial theories. Successful investment strategies are specific implementations of general theories. An investment strategy that lacks a theoretical justification is likely to be false. Hence, a researcher should concentrate her efforts on developing a theory, rather than of backtesting potential trading rules.
Fabozzi, Frank Fabozzi, Francesco A., Lopez de Prado, Marcos; Stoyanov, Stoyan V.	Asset Management: Tools and Issues	World Scientific, 2020.	This book provides a description of the tools used in asset management as well as a more indepth explanation of specialized topics and issues covered in the companion book, Fundamentals of Institutional Asset Management.
Bailey, David H.; Borwein, Jon M.; Salehipour, Amir; Lopez de Prado, Marcos	Do Financial Gurus Produce Reliable Forecasts?, in From Analysis to Visualization	Springer, 2020.	This study develops a novel ranking methodology to rank market forecasters. In particular, we distinguish forecasts by their specificity, rather than considering all predictions and forecasts equally important, and we also analyze the impact of the number of forecasts made by a particular forecaster. We have applied our methodology on a dataset including 6,627 forecasts made by 68 forecasters.
Lopez de Prado, Marcos	AI Pioneers in Investment Management	CFA Institute, 2019.	A report on how machine learning techniques address the pitfalls of convex optimization in general and MPT in particular.
Lopez de Prado, Marcos	Advances in Financial Machine Learning	Wiley, 2018.	Machine learning (ML) is changing virtually every aspect of our lives. Today ML algorithms accomplish tasks that until recently only expert humans could perform. As it relates to finance, this is the most exciting time to adopt a disruptive technology that will transform how everyone invests for generations.
Lopez de Prado, Marcos (Ed.)	Special Guide to Applied Data Sciences in Finance	Journal of Investing, Vol. 25(3), pp.69-159. 2016	Today, scientists model financial markets as true complex dynamic systems, applying methodologies borrowed from all areas of science and engineering. Whether it is signal processing, network analysis or data visualization, modern methods can help us answer fundamental questions that traditional econometric methods have failed to tackle over decades. Co-authors include: Stephen Boyd, Riccardo Rebonato, Phil Goddard, Thomas Wiecki and Jessica Stauth.
Bailey, David H.; Ger, Stephanie; Lopez de Prado, Marcos; Sim, Alexander; Wu, Kesheng	Statistical Overfitting and Backtest Performance, in Risk-Based and Factor Investing	Quantitative Finance Elsevier, 2016.	This book (edited by Emmanuel Jurczenko) is a compilation of recent articles written by leading academics and practitioners in the area of risk-based and factor investing (RBFI). The articles are intended to introduce readers to some of the latest, cutting edge research encountered by academics and professionals dealing with RBFI solutions. Together the authors detail both alternative non-return based portfolio construction techniques and investing style risk premia strategies.
Easley, David; Lopez de Prado, Marcos; O'Hara, Maureen (Coord.)	High Frequency Trading: New Realities for Traders, Markets and Regulators	Risk Books, 2013.	An overview of high frequency trading (HFT) strategies, with a particular focus on how low frequency traders can survive in a high frequency world. Contributors include leading practitioners and academics in this field: Robert Almgren (Quantitative Brokers, New York University), Wes Bethel (Lawrence Berkeley National Laboratory), Ming Gu (Lawrence Berkeley National Laboratory), Terry Hendershott (U.C. Berkeley), Charles Jones (Columbia University), Michael Kearns (S.A.C. Capital, University of Pennsylvania), David Leinweber (Lawrence Berkeley National Laboratory), Oliver Linton (University of Cambridge), Albert Menkveld (University of Amsterdam), Yuryi Nevmyvaka (University of Pennsylvania), Richard Olsen (Olsen Ltd.), Oliver Ruebel (Lawrence Berkeley National Laboratory), George Sofianos (Goldman Sachs), Michael Sotiropoulos (Bank of America Merrill Lynch), Kesheng Wu (Lawrence Berkeley National Laboratory), and Jean-Pierre Zigrand (London School of Economics).
Lopez de Prado, Marcos	Advances in High Frequency Strategies	Complutense University, 2011.	This is the author's second doctoral dissertation. The generalization of electronic markets and ubiquitous automation of financial transactions has rendered many established models and theories obsolete. This work presents a new scientific framework for the study of some of the most relevant questions concerning High Frequency Trading.
Lopez de Prado, Marcos	Invertir en Hedge Funds	Díaz de Santos, 2003.	This is the author's first doctoral dissertation, which dealt with portfolio optimization, risk management and capital allocation to hedge funds. Once hedge funds' hidden risks are taken into account, optimal allocations are much smaller than proposed by the standard Markowitz approach.

WORKING PAPERS AND BOOKS

AUTHORS	YEAR	TITLE	SUMMARY
Antonov, Alexander; Balasubramanian, Koushik; Lopez de Prado, Marcos; Lipton, Alexander	2024	A Geometric Approach to Asset Allocation with Investor Views	We propose a geometric approach that provides investors with more flexibility in specifying their confidence in their views than conventional Black-Litterman approaches. We show that our approach rewards investors more for making correct decisions, relative to conventional Black-Litterman approaches.
Antonov, Alexander; Lipton, Alexander; Lopez de Prado, Marcos;	2024	Overcoming Markowitz's Instability with the Help of Hierarchical Risk Parity (HRP): Theoretical Evidence	We derive analytical values for the noise of allocation weights coming from the estimated covariance. We demonstrate that the HRP is less noisy (and thus more robust) than the classical Markowitz approach.
Lopez de Prado, Marcos; Zoonekynd, Vincent	2024	Why Has Factor Investing Failed?: The Role of Specification Errors	We prove that, contrary to popular belief, factor strategies can yield systematic losses even if correlations remain constant and betas are estimated with the correct sign. For this reason, specification errors are arguably more dangerous to investors than p-hacking.
Lopez de Prado, Marcos	2022	Causal Factor Investing: Can Factor Investing Become Scientific?	This article analyzes the current state of causal confusion in the factor investing literature, and proposes solutions with the potential to transform factor investing into a truly scientific discipline. I differentiate between type-A and type-B spurious claims, and explain how the latter prevent factor investing from advancing beyond its current phenomenological stage.
Lopez de Prado, Marcos; Peron, Ana Paula; Porcu, Emilio	2022	Dimension Walks on Generalized Spaces	We propose linear operators that allow for walks through dimension within generalized spaces while preserving positive definiteness.
Lopez de Prado, Marcos	2019	Testimony before the U.S. House of Representatives - Committee on Financial Services - Task Force on Artificial Intelligence	I have divided this testimony into four sections, which discuss: (1) several types of automation currently being deployed in capital markets and the financial sector, and how they affect decision-making; (2) how machine learning (ML) and automation can help and hurt workers by disruption of the current and future financial services workforce; (3) what “RegTech” is and how ML can be deployed to help regulators better supervise financial institutions; and (4) algorithmic bias.
Lopez de Prado, Marcos	2019	Estimation of Theory-Implied Correlation Matrices	This paper introduces an algorithm to estimate forward-looking correlation matrices implied by economic theory. Given a particular theoretical representation of the hierarchical structure that governs a universe of securities, the method fits the correlation matrix that complies with that theoretical representation of the future.
Lopez de Prado, Marcos	2019	A Robust Estimator of the Efficient Frontier	Convex optimization solutions tend to be unstable, to the point of entirely offsetting the benefits of optimization. This instability can be traced back to two sources: (1) noise in the input variables; and (2) signal structure that magnifies the estimation errors in the input variables. We introduce a new optimization method that is robust to signal induced instability.
Lopez de Prado, Marcos	2019	Ten Applications of Financial Machine Learning	This article describes ten notable financial applications where ML has moved beyond hype and proven its usefulness. This success does not mean that the use of ML in finance does not face important challenges. The main conclusion is that there is a strong case for applying ML to current financial problems, and that financial ML has a promising future ahead.
Bailey, David H.; Borwein, Jon M.; Salehipour, Amir; Lopez de Prado, Marcos; Zhu, Jim	2015	Backtest Overfitting Demonstration Tool: An Online Interface	In this study we introduce two online tools, the Backtest Overfitting Demonstration Tool, or BODT for short, and the Tenure Maker Simulation Tool, or TMST, which illustrate the impact of backtest overfitting on investment models and strategies. We describe BODT and TSMT, the experiments they perform, together with technical details such as the evaluation metrics and parameters used.
Lopez de Prado, Marcos	2015	Generalized Optimal Trading Trajectories: A Financial Quantum Computing Application	Generalized dynamic portfolio optimization problems have no known closed-form solution. These problems are particularly relevant to large asset managers, as the costs from excessive turnover and implementation shortfall may critically erode the profitability of their investment strategies. In this brief note we demonstrate how this financial problem, intractable to modern supercomputers, can be reformulated as an integer optimization problem. Such representation makes it amenable to quantum computers.
Carr, Peter; Lopez de Prado, Marcos	2014	Determining Optimal Trading Rules without Backtesting	We present empirical evidence of the existence of optimal trading rules (OTRs) for the case of prices following a discrete Ornstein-Uhlenbeck process, and show how they can be computed numerically. Although we do not derive a closed-form solution for the calculation of OTRs, we conjecture its existence on the basis of the empirical evidence presented. Also available in ArXiv.