Research Day
Monday, October 19, 2026 · in schedule order.
Abstracts and titles are provisional and subject to change.
9:00–9:30 · Session I
Controlling Risk and Preventing Manipulation in Prediction Markets
John R. Birge
Prediction markets offer opportunities for the hedging of a variety of risks that depend on the outcomes of future events. They have recently grown rapidly in volume from under $5B per month in September 2025 to $25B in April 2026. They are now the subject of debates over their legal and regulatory status. Ideally, prediction markets aggregate diffuse information and reduce levels of uncertainty, but they are subject to manipulation by those with superior (e.g., “insider”) information. This talk will describe how such manipulation risk arises inevitably in certain market designs and how to construct mechanisms that prevent manipulation while allowing for effective information aggregation.
Biography
John Birge is the Hobart W. Williams Distinguished Service Professor of Operations Management at the University of Chicago Booth School of Business. Previously, he was Dean of the McCormick School of Engineering and Applied Science and Professor of Industrial Engineering and Management Sciences at Northwestern University and Professor and Chair of Industrial and Operations Engineering at the University of Michigan. He received his M.S. and Ph.D. degrees from Stanford University in Operations Research. His A.B. is from Princeton University in Mathematics.
Professor Birge studies mathematical modeling of systems under uncertainty, especially for maximizing operational and financial goals using the methodologies of stochastic programming and large-scale optimization. He is former Editor-in-Chief of Operations Research and of Mathematical Programming, Series B. He has received numerous awards including the Medallion Award from the Institute of Industrial Engineers, the Fellows Award from the Institute for Operations Research and the Management Sciences (INFORMS), the Distinguished Fellow Award from the Manufacturing and Service Operations Management Society (MSOM), the Harold Lardner Prize from the Canadian Operational Research Society, and election to the U.S. National Academy of Engineering. He has served as Vice-Chair of the University of Michigan Senate Assembly, President of INFORMS, Chair of the Mathematical Optimization Society, and is current President of Friends of the International Institute for Applied Systems Analysis (IIASA, Laxenburg, Austria). He is author of two books and more than one hundred twenty refereed publications in a variety of journals.
9:30–10:00 · Session I
Use and Misuse of Quadratic Penalties in Portfolio Optimization
Dan diBartolomeo
Many users of optimization tools add quadratic penalties to tailor portfolio attributes that are not directly related to return and risk (a target income yield, an ESG score). Many people think of such penalties as “soft constraints” that are less costly to pure return and risk objectives than a hard constraint. In this presentation we will illustrate how the numerical properties of quadratic penalties are often misunderstood leading to economically counterproductive uses. It will be shown that adding one or more quadratic penalties to the optimization is mathematically equivalent to adding an extra orthogonal risk factor to the risk model. The “scale” of the penalty magnitude is equivalent to the variance of factor returns within a factor model divided by the investor risk tolerance. The use of such penalties is effectively broadening the definition of risk from the definition in Markowitz and Levy (1979) to the more arbitrary concern of “the risk of not having a portfolio that looks like I want it to look”. It can also be shown that quadratic penalties are closely related to the concept of Lagrangian multipliers in convex optimization. Such multipliers describe the sensitivity of the optimization objective to relaxation of a hard constraint. It is easily understood one way to enforce a constraint is to target a “goal” value between minimum and maximum of the hard constraint and then vary the scale of the quadratic penalty until the constraint is satisfied. While the definition of quadratic penalties on portfolio attributes can be flexible, the numeric magnitudes associated with penalties must be bounded by economic rationality. Our last topics will be use of asymmetric quadratic penalties, and the parallels between quadratic penalties and non-parametric methods of portfolio construction methods such as the Analytic Hierarchy Process.
Biography
Mr. diBartolomeo is President and founder of Northfield Information Services, Inc. Based in Boston since 1986 Northfield develops quantitative models of financial markets. He participates on boards of industry organizations include IAQF and CQA. Dan is a director and past president of the Boston Economic Club. His publication record includes over sixty works including books, book chapters, and research journal articles. In addition, Dan spent several years as a Visiting Professor at Brunel University and has been admitted as an expert witness in litigation matters regarding investment management practices and derivatives in both US federal and state courts. He became co-editor in chief of the Journal of Asset Management at the start of 2019.
10:00–10:30 · Session I
Measuring Risks in Hedge Funds: Evaluation and Usefulness of Exposure Data in Form PF
Stathis Tompaidis
We use data from a new regulatory filling for large hedge funds, Form PF, to evaluate the accuracy of reported stress test exposure information and to construct measures of hedge funds' aggregate risk. At the individual fund level, we find the exposure information has weak power to explain individual fund returns. However, aggregating the reported stress test results by groups or for the entire set of reporting funds improves the situation significantly. We discuss which stress tests provide useful information and which are mostly uninformative. We build two aggregate measures of risk, value-at-risk and expected shortfall, and decompose the contributions to these measures by fund strategy and fund liquidity. Our results can be used to improve the form and to monitor aggregate risk across reporting funds.
Biography
Stathis Tompaidis is the Capitol City Savings Regents Professor in the Department of Information, Risk, and Operations Management and, by courtesy appointment, the Department of Finance at The University of Texas at Austin’s McCombs School of Business. He has also served at the Office of Financial Research at the U.S. Department of the Treasury as a research principal, associate director for Financial Markets, and acting associate director for Financial Institutions and Risk Management. Tompaidis has held visiting positions at Columbia University, Duke University, the Instituto Tecnológico Autónomo de México (ITAM), and Northwestern University, and has collaborated with international economic and policy institutions, including the European Central Bank and the International Monetary Fund. His research lies at the intersection of management science and finance, with a current focus on financial regulation and stability. His work also spans financial derivatives, market microstructure, asset management, real estate, and energy markets. His research has been published in leading journals, including the Journal of Finance, Journal of Financial Economics, Operations Research, and Management Science. Tompaidis received his undergraduate degree from Aristotle University of Thessaloniki in Greece and earned his Ph.D. in physics from The University of Texas at Austin in 1994.
11:00–11:30 · Session II
A Unified Framework for Measuring Financial Crash Risk
Boris Klebanov
The measurement of financial crash risk, whether at the market level or for individual stocks, is a major challenge in asset pricing, risk management, and regulation. Skewness has been used as a proxy for crash risk in the finance literature, but it summarizes the entire distribution through its third moment and does not isolate the left tail of the return distribution, which is where crash risk manifests. In contrast, Higher Moment Coherent Risk (HMCR) measures, introduced by Krokhmal (2007), are tail-sensitive because they penalize losses exceeding a threshold.
We present a unified framework for measuring financial crash risk based on HMCR measures. These measures generalize CVaR to higher-order moments. They satisfy the coherency axioms and are compatible with second-order stochastic dominance. The framework unifies HMCR measures, the Risk Quadrangle, and distributionally robust optimization.
Building on the connection between HMCR and the Risk Quadrangle, the associated error functional enables regression-based estimation of HMCR, while a distributionally robust interpretation offers protection against model misspecification. We also present results on the relationship between HMCR and skewness, bounds on HMCR, and a crash premium ordering theorem established under empirically verifiable assumptions, providing a theoretical foundation for using HMCR in crash risk measuring and capital regulation.
Biography
Boris Klebanov holds a doctorate in Mathematics from Moscow State University. He began his academic career in pure mathematics, specializing in topology. Seeking to apply rigorous mathematical tools to real-world problems, Dr. Klebanov transitioned from pure mathematics to quantitative methods in economics and finance, with applications to risk management and forecasting.
He has authored many academic papers, and his research has been presented at academic and industry conferences. Dr. Klebanov also serves as an independent consultant in the financial industry, applying mathematical and statistical methods to real-world investment challenges. His work bridges the gap between mathematical theory and practical applications, with a particular emphasis on transparency, interpretability, and computational efficiency.
11:30–12:00 · Session II
Pricing Guarantees in Western Critical-Minerals Supply Chains: A Contingent-Claims and Newsvendor Approach
Guilherme Larangeira
Western governments and firms are rebuilding critical-mineral supply chains outside China with guarantees: price floors, tariffs, strategic reserves, and take-or-pay offtake. How should these be priced? Price guarantees can in principle be replicated in the forward market, so Black-76 gives a risk-neutral (preference-free) price. Demand guarantees cannot: with no replicating portfolio, any price embeds a choice of preferences, of which risk-neutral is but one. We model a supplier and a buyer in a take-or-pay contract as a newsvendor-type problem with Mean-CVaR preferences, give the buyer's best response in closed form, and show when a coordinating wholesale price exists. Early-stage work, with a Brazil–France offtake (Viridis and Solvay) as the case; the talk emphasizes the problem formulation and a sketch of the solution.
Biography
Guilherme Larangeira is a PhD student (ABD, part-time) in the Department of Technology, AI, and Society at Stony Brook University, advised by Dr. Elizabeth Hewitt. He holds an M.S. in Statistics from California State University, East Bay, an MBA from the University of Michigan's Ross School of Business, and a B.S. in Electrical Engineering from the Universidade Federal do Rio Grande do Sul. He began his research career as a student researcher in the electric grid group at Brookhaven National Lab, where his work on Binary Decision Diagram-based contingency analysis led to a co-authored IEEE conference paper. He works on battery energy storage systems at WEG Electric Corp. and was previously a Senior Engineer in Resource Adequacy at ISO New England and a Summer Scholar at ARPA-E. His dissertation, "Mapping the Mine-to-Magnet Maze," examines the rare-earth-to-permanent-magnet supply chain, and asks what it would cost a government to credibly de-risk private investment in it, and whether the design of a state commitment — not just its size — determines whether investors treat it as credible. His pricing work combines contingent-claims valuation (Black-76) for state-backed price floors with risk-averse newsvendor and CVaR-based supply-chain-contract models for offtake commitments, in the setting of the Western critical-minerals supply chain.
12:00–12:30 · Session II
3SAT: A Beautiful but Untrainable Neural Network
Andrew Mullhaupt
A small neural network capable of solving its task exactly can be extraordinarily difficult to train, and we construct a family of such nets. The parameters that minimize the loss of the network are the satisfying assignments of any given 3-CNF, so training the net inherits the NP-complete difficulty of 3-SAT. We construct a family of 3-CNFs which demonstrate that the difficulty of training is realized even at comparatively small parameter dimensions.
We use this family to test possible improvements to neural net training on a “known difficult” class of nets, and show that a bandit algorithm can mitigate the “constant factor” in the cost of solving the problem.
Biography
Andrew Mullhaupt studied mathematics at New York University (Ph.D. 1984, postdoc 1985) and has held professorships at the University of New Mexico, the University at Buffalo, and Stony Brook University (2009–present). His career in finance was at Morgan Stanley (1988–1990), Renaissance Technologies Corporation (1990–1995), as Portfolio Manager and Director of Research at SAC Meridian Fund (1995–2008), and as Director of Quantitative Research at AlphaCrest Capital LLC (2014–2025).
His research is in computational statistical inference, information geometry, reinforcement and deep learning. He collaborates on medical research with Glenn Werneburg (Stony Brook Medicine).
According to Google Scholar, his six most cited papers are:
- M. Ghil, A. Mullhaupt and P. Pestiaux, “Deep Water Formation and Quaternary Glaciations,” Climate Dynamics 2 (1987), 1–10.
- M. Ghil and A. P. Mullhaupt, “Boolean Delay Equations II: Periodic and Aperiodic Solutions,” J. Stat. Phys. 41 (1985), 125–174.
- L. Campbell, G. E. Carlsson, M. J. Dinneen, V. Faber, M. R. Fellows, M. A. Langston, J. W. Moore, A. P. Mullhaupt and H. B. Sexton, “Small Diameter Symmetric Networks from Linear Groups,” IEEE Transactions on Computers 41 (1992), 218–220.
- R. Ding and A. P. Mullhaupt, “Empirical Squared Hellinger Distance Estimator and Generalizations to a Family of α-Divergence Estimators,” Entropy 25(4) (2023), 612.
- G. T. Werneburg, E. A. Werneburg, H. B. Goldman, A. P. Mullhaupt and S. P. Vasavada, “Machine Learning Provides an Accurate Prognostication Model for Refractory Overactive Bladder Treatment Response and Is Noninferior to Human Experts,” Neurourology and Urodynamics 41(3) (2022).
- J. Choi and A. P. Mullhaupt, “Kählerian Information Geometry for Signal Processing,” Entropy 17(4), 1581–1605.
His most cited result (7,690 citations) is in the addendum to D. Ruelle and J.-P. Eckmann, “Ergodic Theory of Chaos and Strange Attractors,” Rev. Mod. Phys. 57 (1985).
12:45–1:30 · Lunch talk
AI-First Permanent Capital: Free Cash Flow, Option Premiums, and Compounding Ownership
Manish Sainani
How can an investment system use short-term market uncertainty to build long-term ownership in productive businesses? This talk examines that question through the development of Hushh Fund A, its Alphabets 27 strategy, and the Sell the Wall Alpha machine. The investment thesis begins with business economics: substantial absolute free cash flow (FCF), durable FCF growth, capital efficiency, and a price that supports an attractive ownership return. The framework evaluates FCF scale and growth separately, with attention to accounting comparability, cyclicality, and forecast uncertainty. It also informs the concentrated Ultra Alpha Bets 10 and broader Ultimate Alpha Bets 69 portfolio concepts. Around selected holdings, the options overlay seeks to collect volatility risk premia and benefit from time decay through covered calls during strength and cash-secured puts during weakness. Relative Strength Index (RSI), trend, implied versus realized volatility, liquidity, and open-interest concentrations inform candidate trades. These signals do not establish mispricing or guarantee reversal. Net realized income, after losses, costs, applicable taxes, and required reserves, is intended for reinvestment into additional shares. The talk draws practical lessons from early versions: premium received is not economic profit; rolling an option does not erase a loss; covered calls can surrender shares and cap upside; and put assignments can increase exposure during falling markets. Share accumulation must therefore be assessed alongside total return, drawdown, and capital at risk. I will outline an AI-assisted research and risk architecture with traceable inputs, reproducible calculations, explicit exposure limits, and human oversight. The evaluation agenda includes walk-forward testing, realistic execution costs, comparison with the same holdings without options, and tail-risk measures such as expected shortfall. Tests must explicitly address survivorship bias, look-ahead bias, changing market regimes, and sensitivity to portfolio construction assumptions. I will close with opportunities for academic collaboration on determining when this approach can improve compounding ownership.
Biography
Manish Sainani is Founder, CEO and Chief Investment Officer of Hushh Technologies. He previously held leadership roles in AI, machine learning and developer platforms at Google, Microsoft and Splunk. His current work brings software engineering, systematic investment research and human judgment to the development of AI-first permanent capital strategies, including Hushh Fund A and Alphabets 27. He focuses on durable free cash flow, disciplined options overlays and the reinvestment of net income to increase long-term business ownership.
1:30–2:00 · Session III
Sequential Optimization of Dynamically Augmented CVaR
Eugene Feinberg
The presentation examines risk-sensitive control of finite-state, finite-action Markov decision processes with discounted cumulative costs. It develops Dynamically augmented CVaR (DCVaR), together with an optimization algorithm. A robust formulation incorporates a tail-risk parameter into the state. Earlier value-iteration methods for this augmented model, initially used to estimate optimal static CVaR, instead yield lower bounds. DCVaR provides a time-consistent risk criterion below static CVaR and also admits an interpretation related to nested CVaR. The algorithm is justified through analysis of a mass-transfer problem.
Biography
Eugene Feinberg works in stochastic methods of operations research and their applications. He is one of the world leaders in Markov decision processes and their applications to telecommunication, manufacturing, transportation, service, medicine, and biology. He is one of the country’s experts on optimizing electric energy transmission and forecasting energy demand. Dr. Feinberg previously held appointments at Moscow Institute of Transport Engineering (Russia), Yale University and MIT.
2:00–2:30 · Session III
Convergence Rate of a Functional Learning Method for Contextual Stochastic Optimization
Noel Smith, Andrzej Ruszczyński
We consider a stochastic optimization problem involving two random variables: a context variable $X$ and a dependent variable $Y$. The objective is to minimize the expected value of a nonlinear loss functional applied to the conditional expectation $\mathbb{E}[f(X, Y,\beta) \mid X]$, where $f$ is a nonlinear function and $\beta$ represents the decision variables. We focus on the practically important setting in which direct sampling from the conditional distribution of $Y \mid X$ is infeasible, and only a stream of i.i.d.\ observation pairs $\{(X^k, Y^k)\}_{k=0,1,2,\ldots}$ is available. In our approach, the conditional expectation is approximated within a prespecified parametric function class. We analyze a simultaneous learning-and-optimization algorithm that jointly estimates the conditional expectation and optimizes the outer objective. Using a specially designed measure of non-optimality, combining the squared norm of the objective function's gradient and the mean square error of the auxiliary parametric model, we establish that the method achieves a convergence rate of order$\mathcal{O}\big(1/\sqrt{N}\big)$, where $N$ denotes the number of observed pairs.
Biography
Noel Smith is a Ph.D. candidate in the department of Management Science and Information Systems at Rutgers University. His research focuses on stochastic programming and risk averse optimization. Previously, he was employed by Pearl Street Technologies, a start-up developing grid automation software, and by Société Générale on their electronic market making desk. Noel earned his M.S. in Stochastic Systems and Optimization from Stevens Institute of Technology.
Bio: Dr. Andrzej Ruszczynski, distinguished professor, Rutgers Business School, Management & Information Systems. His interests are in the theory, numerical methods and applications of stochastic optimization. He is author of "Nonlinear Optimization", "Lectures on Stochastic programming", “Risk-Averse Optimization and Control” and numerous publications in operations research and applied mathematics journals such as Mathematical Programming, SIAM Journal on Optimization, Mathematics of Operations Research, and Operations Research. He is the winner of the 2018 Dantzig Prize of the Society of Industrial and Applied Mathematics and the Mathematical Optimization Society.
2:30–3:00 · Session III
Rethinking Systematic Risk. Drawdown-Based Risk Measures and the Low-Beta Anomaly
Piotr Szczepocki, Ewa Feder-Sempach, Stan Uryasev
University of Lodz, Faculty of Economics and Sociology, Department of Statistical Methods, Lodz, Poland
University of Lodz, Faculty of Economics and Sociology, Department of International Economics, Lodz, Poland
Stony Brook University, Department of Applied Mathematics and Statistics, Stony Brook, NY 11794-3600, USA
Purpose: The main objective of the study is to examine long-short investment strategies based on various beta measures. Stocks are sorted into beta deciles. A strategy that takes a long position in the lowest-beta portfolio (D1) and a short position in the highest-beta portfolio (D10) is then constructed. Its performance is evaluated using alternative risk measures, considering returns, volatility, and drawdowns. The strategy assumes unrestricted access to borrowing to leverage low-beta assets.
Methodology: To implement the strategy, we calculate five beta coefficients, two of which are based on market drawdowns. Specifically, we calculate betas based on (i) standard deviation, (ii) lower semi deviation, (iii) mean absolute deviation, (iv) Conditional Value-at-Risk, and (v) drawdowns, namely Conditional Drawdown-at-Risk (CDaR) and Expected Regret of Drawdown (ERoD). The empirical analysis is based on S&P 500 stocks over the 1995–2024 period. For each risk measure, stocks are sorted into deciles according to their estimated beta coefficients. The Security Market Line is estimated for the full 30-year sample as well as for 15, 10, 5, 3, and 1-year periods. The resulting portfolios are compared in terms of annualized returns, volatility, maximum drawdown, and the Sharpe ratio.
Findings: The low-beta anomaly is present across nearly all alternative beta measures. In most cases, portfolios of low-beta stocks outperform high-beta portfolios, resulting in profitable long–short (D1–D10) strategies. The time horizon used to evaluate betas plays a critical role. Over shorter investment horizons, CDaR and ERoD beta measures often provide better results than the standard beta. Moreover, the empirical Security Market Line exhibits a predominantly negative slope, indicating that lower-beta stocks earn higher average returns than higher-beta stocks, which indicates that the borrowing rate is higher than the expected market return. The overall results suggest that alternative risk measures, particularly those based on drawdowns, provide a useful framework for identifying portfolios with good risk-adjusted performance. Furthermore, portfolios based on CDaR and ERoD beta measures experience smaller maximum drawdowns, making them particularly suitable for capital preservation strategies by providing enhanced downside protection.
Originality: Unlike the standard CAPM beta, which measures systematic risk using standard deviation, the drawdown beta framework better captures asset sensitivity to market risk. CDaR and ERoD betas, result in profitable long–short (D1–D10) investment strategies and improved capital preservation over shorter investment horizons. The findings suggest that investors may benefit from incorporating drawdown-based beta measures into portfolio construction and risk management decisions.
Keywords: investment strategies, CAPM, drawdown beta, low-beta anomaly
Biography
Piotr Szczepocki, PhD, Assistant Professor, University of Lodz, Faculty of Economics and Sociology, Department of Statistical Methods, 3/5 POW St., 90-255 Lodz, Poland,, ORCID: https://orcid.org/0000-0001-8377-3831.
Graduated from the University of Lodz and Lodz University of Technology, receiving master's degrees in Econometrics (2010) and Mathematics (2012). He also received a Ph.D. degree in Economics from Lodz University in 2019. His scientific research focuses on stochastic variability models, Monte Carlo simulation techniques, and drawdown beta methodology, with applications in financial risk analysis and quantitative finance. He is the author and co-author of twenty scholarly publications, including articles devoted to stochastic volatility models, financial econometrics, and the analysis of hedging and safe-haven assets in financial markets.
Bio: Ewa Feder-Sempach, PhD, Assistant Professor, University of Lodz, Faculty of Economics and Sociology, Department of International Economics, 3/5 POW St., 90-255 Lodz, Poland,, ORCID: https://orcid.org/0000-0001-9586-1417.
Graduated from the University of Lodz, receiving master’s degrees in international economics (2004) and English Philology (2020). She received a Ph.D. degree in Economics from Lodz University in 2010.
Her current research interests include international investment, portfolio analysis, with a particular focus on the application of drawdown beta, and the role of financial instruments exhibiting safe-haven characteristics. She is the author and co-author of numerous scholarly publications, including more than fifty articles, as well as monographs and book chapters devoted to international financial markets, investment theory, and portfolio systematic risk. Between 2022 and 2026, she was a Visiting Professor at Bayes (formerly Cass) Business School in London (UK), Erasmus University Rotterdam (The Netherlands), the University of Illinois Chicago (USA), and University College Cork (Ireland).
3:00–3:30 · Session III
Dynamic Inverse Portfolio Optimization with Mean-Deviation Preferences
Volodymyr Volchenko
Inverse portfolio optimization aims to identify an investor’s risk preferences from observed trading decisions. The existing mean-deviation approach to this problem considers a single observed optimal portfolio. This talk examines a dynamic inverse portfolio problem based on a sequence of portfolio rebalancing decisions. At each time, the investor trades from the position inherited from the preceding date and incurs proportional and quadratic market-impact costs. The decisions are therefore linked across time: the optimality condition for the current position depends on both the current trade and the expected cost of the next rebalancing. Risk preferences are represented by time-varying mixtures of CVaR deviations at several tail-probability levels. For a finite scenario tree, the inverse problem reduces to a system of linear equalities and inequalities that characterizes the set of preference parameters and provides conditions for their uniqueness.
Biography
Volodymyr holds a PhD in Mathematics from Stevens Institute of Technology and three degrees from Taras Shevchenko University of Kyiv: a Master of Science in Actuarial and Financial Mathematics, a Bachelor of Arts in Finance, and a Bachelor of Science in Statistics. He served as Vice President at Morgan Stanley in New York, overseeing machine learning and portfolio optimization projects in investment management and trading. He currently works as a Quantitative Researcher at GraniteShares, a global investment firm and asset manager.
4:00–4:30 · Session IV
Efficient Multivariate Kelly Optimization Reveals Sigmoidal Scaling Laws
Ruslan Tepelyan
For a sequence of binary bets, the Kelly criterion provides a closed-form solution that maximizes the expected growth rate of wealth. In contrast, when multiple bets are placed simultaneously (e.g., in portfolio allocation or prediction markets), the optimal Kelly strategy generally requires numerical optimization over a joint outcome space. A naive formulation scales exponentially in the number of bets, requiring 2^N time and memory for N simultaneous wagers, which restricts existing methods to small problem sizes.
We present two complementary methods that dramatically extend the scale of multivariate Kelly problems that can be solved. First, in the case of independent bets, we introduce an integral transform formulation that eliminates explicit enumeration of outcomes, reducing the computational complexity of evaluating the objective from O(2^N) to O(N). Combined with numerically stable quadrature, this enables accurate solutions for problems involving hundreds of bets. Second, we develop a decomposition-based approach that constructs and solves carefully chosen subproblems, yielding feasible lower bounds and infeasible upper bounds on the optimal growth rate. This provides a practical mechanism for quantifying worst-case suboptimality as a function of subproblem size.
Together, these methods make it possible to study the large-N regime of the multivariate Kelly problem. Using synthetic data inspired by prediction markets, we show that the relationship between subproblem size and solution accuracy follows a simple and highly regular scaling law. In particular, the shortfall ratio between the lower and upper bounds is well-approximated by a sigmoid function of the relative subproblem size, with parameters that can be predicted from low-dimensional summary statistics of the problem.
Biography
Ruslan Tepelyan is a quant researcher with the Quant Research team in the Office of the CTO at Bloomberg. He has worked as an engineer, equity trader, data scientist, and product manager, but he is mainly interested in applications of machine learning techniques in finance. Most recently, he has been working on projects using ML for time series analysis and evaluating ML-based approaches to core finance optimization problems. He holds a bachelor's degree in electrical and computer engineering from Cooper Union and an MBA from Columbia University.
4:30–5:00 · Session IV
Conditional Joint Riemannian Flow Matching and its application to time-varying dependence structure in Financial Returns
Jeongyeon Park, Aaron Young Shin Kim
Jeongyeon Park — Department of Applied Mathematics and Statistics, Stony Brook University. Aaron Young Shin Kim — College of Business, Stony Brook University
We propose a Conditional Joint Riemannian Flow Matching (CJRFM) model for multivariate financial returns. Standardized returns are decomposed into a directional component on the unit sphere and a log-radius component in Euclidean space, and the conditional distribution of future returns is learned from recent market history via a neural flow on Sᵈ⁻ × R. Conditioning lets the model adapt both the scale and the cross-asset dependence structure of future returns to recent conditions. In a rolling-window backtest on a 17-asset universe, CJRFM outperforms Gaussian, NTS, DCC-GARCH, NTS-GARCH, equal-weight, and unconditional (RFM) benchmarks in annualized return, Sharpe ratio, and reward-to-tail-risk measures, highlighting the value of modeling time-varying return distributions.
Biography
Dr. Aaron Young Shin Kim is an associate professor in the College of Business, Stony Brook University, and an adjunct professor in Applied Mathematics and Statistics. His current professional and research interests are in the area of mathematical modeling and its application to finance. He is interested in mathematical models having fat-tails, asymmetric dependence, clustering of volatility, and long-range dependence, and in financial issues including financial risk management, portfolio management, and derivative pricing. Dr. Kim published more than 50 research papers in internationally refereed journals and was awarded one patent. He is an expert in computer programming and shares basic libraries and tools implemented by him.
5:00–5:30 · Session IV
Loss-Versus-Rebalancing for Multi-Asset Geometric-Mean Market Makers
Joonhyuk Suh,, Stan Uryasev
Many decentralized exchanges use automated market makers (AMMs), which execute trades against liquidity pools according to deterministic reserve-based rules. When external prices move, arbitrageurs realign the pool with the market, transferring value from liquidity providers - an adverse-selection cost known as loss-versus-rebalancing (LVR). Milionis et al. establish a general LVR identity for such pools, expressed through the Hessian of the pool value function and the instantaneous covariance matrix of asset returns. Specializing this identity to Balancer-style multi-asset automated market makers with a weighted geometric-mean invariant, we show it collapses into an explicit pairwise form: instantaneous LVR equals half the pool value times a weighted sum, over every pair of assets, of the quadratic variation of that pair's return difference. Multi-asset LVR is thus driven by cross-asset return dispersion rather than marginal variance alone, and vanishes exactly when all assets move together. We derive an exact finite-grid benchmark gap for the Balancer invariant, connect it to covariance-based predictors via a second-order Taylor expansion, and show it converges to the continuous-time identity as the observation grid is refined. We validate these theoretical predictions empirically in synthetic multi-asset cryptocurrency pools.
Biography
Joonhyuk Suh is a Ph.D. student in the Department of Applied Mathematics and Statistics at Stony Brook University. His research interests include convex optimization, machine learning, algorithmic fairness, and quantitative methods for cryptocurrency trading. Alongside his doctoral studies, Joonhyuk currently works as a Quantitative Research Intern at XBTO in New York.
Bio: is Professor and Frey Family Endowed Chair at the Stony Brook University. Ph.D. in Applied Mathematics from the Glushkov Institute of Cybernetics, Kiev, Ukraine in 1983. From 1988 to 1992 he was a Research Scholar at the International Institute for Applied System Analysis, Luxenburg, Austria. From 1992 to 1998 he held the Scientist position at the Risk and Reliability Group, Brookhaven National Laboratory, Upton, NY. From 1998 to 2019 he was the George and Rolande Willis Endowed Professor at the University of Florida, and the director of the Risk Management and Financial Engineering Lab.
His research is focused on efficient computer modeling and optimization techniques and their applications in finance and DOD projects. He published four books (two monographs and two edited volumes) and more than 130 research papers. He is a co-inventor of the Conditional Value-at-Risk and the Conditional Drawdown-at-Risk optimization methodologies. He developed optimization software in risk management area, including Drawdown and Credit Risk minimization.
His joint paper with Prof. Rockafellar on Optimization of Conditional Value-At-Risk in The Journal of Risk, Vol. 2, No. 3, 2000 is among the 100 most cited papers in Finance. Many risk management/optimization packages implemented the approach suggested in this paper (MATLAB implemented a toolbox).
Stan Uryasev is a frequent speaker at academic and professional conferences. He has delivered seminars on the topics of risk management and stochastic optimization. He is on the editorial board of a number of research journals and is Editor Emeritus and Chairman of the Editorial Board of the Journal of Risk.
5:30–6:00 · Session IV
Your Hypergradient is Skewed: Antithetic Neumann Estimation for Bilevel Optimization
Pawel Polak
Joint work with Jason Bohne, Gary Kazantsev, and David S. Rosenberg (NeurIPS 2026)
Bilevel optimization is a core tool in practical machine learning workflows, including hyperparameter tuning, data reweighting, robust learning, reinforcement learning, and imbalanced classification. Hypergradient computation requires the inverse of the inner Hessian, typically estimated via a truncated Neumann series. While existing analyses focus on bias and variance, we show that the product structure of the Neumann series introduces a third source of error: skewness. Unlike ordinary gradients, whose asymmetry is suppressed by mini-batch averaging, the Neumann estimator amplifies skewness across factors, with the third-moment error growing with truncation depth, inner condition number, and per-factor noise asymmetry. This arises in many practical settings such as corrupted labels, outliers, heterogeneous, or class-imbalanced datasets.
To address this, we introduce the Antithetic Neumann Estimator (ANE), which pairs each Hessian sample with a mirrored counterpart around a reference Hessian and averages the resulting inverse-Hessian estimates. With an exact reference, the antithetic product eliminates all skewness; with an approximate reference, residual skewness scales linearly with reference error. ANE requires only a modification of the Hessian-vector step and integrates with existing stochastic or variance-reduced bilevel methods. Across robust regression, corrupted-label learning, offline reinforcement learning, and imbalanced classification, ANE-based methods achieve strictly better bias–variance–skewness tradeoffs, reducing loss by up to 24% and improving predictive metrics by up to 27%.
Biography
Pawel Polak is an Associate Professor in the Quant Finance group at Stony Brook University in the AMS department. His research lies at the intersection of machine learning, statistical computing, financial econometrics, and quantitative risk management. His work focuses on developing scalable stochastic optimization algorithms, robust machine learning architectures, and data-driven decision-making tools. His research regularly appears in top-tier machine learning venues and quantitative finance journals.