arXiv research

Model predicts asset prices from initial shocks using neural networks.

Learning customer preferences from an observed behaviour is an important topic in the marketing literature. Structural models typically model forward-looking customers or firms as utility-maximizing agents whose utility is estimated using methods of Stochastic Optimal Control. We suggest an alternative approach to stud…

Advanced optimization algorithms such as Newton method and AdaGrad benefit from second order derivative or second order statistics to achieve better descent directions and faster convergence rates. At their heart, such algorithms need to compute the inverse or inverse square root of a matrix whose size is quadratic of …

The Gaussian process (GP) is a nonparametric prior distribution over functions indexed by time, space, or other high-dimensional index set. The GP is a flexible model yet its limitation is given by its very nature: it can only model Gaussian marginal distributions. To model non-Gaussian data, a GP can be warped by a no…

Demand functions for goods are generally cyclical in nature with characteristics such as trend or stochasticity. Most existing demand forecasting techniques in literature are designed to manage and forecast this type of demand functions. However, if the demand function is lumpy in nature, then the general demand foreca…

The seriousness of the current crisis urgently demands new economic thinking that breaks the austerity vs. deficit spending circle in economic policy. The core tenet of the paper is that the most important problems that natural and social science are facing today are inverse problems, and that a new approach that goes …

New method reduces variance in Bayesian inverse problems.

Implementing a set of microeconomic criteria, we develop price dynamics equations using a function of demand/supply with key symmetry properties. The function of demand/supply can be linear or nonlinear. The type of function determines the nature of the tail of the distribution based on the randomness in the supply and…

Energy consumption in Ecuador has increased significantly during the last decades, affecting negatively the financial position of the country since large energy consumption subsidies are provided in its internal market and Ecuador is mostly a crude oil exporter and oil derivatives importer country. This research seeks …

Modeling shared mobility demand considering supply limitations.

VISION-XL improves HD video quality using latent image diffusion models.

We consider a firm that sells products over $T$ periods without knowing the demand function. The firm sequentially sets prices to earn revenue and to learn the underlying demand function simultaneously. A natural heuristic for this problem, commonly used in practice, is greedy iterative least squares (GILS). At each ti…

The paper studies price impacts in asset liquidation markets.

Develops flexible non-parametric ACFs using B-spline kernels.

The paper addresses uncertainty in demand prediction for dynamic pricing.

Generative model creates frictional surfaces from friction laws.

Network models assume unrealistic idiosyncratic risk, which can be mitigated by allowing for correlated shocks.

FlowChef steers RFMs to efficiently guide image generation tasks.

We consider a dynamic market model where buyers and sellers submit limit orders. If at a given moment in time, the buyer is unable to complete his entire order due to the shortage of sell orders at the required limit price, the unmatched part of the order is recorded in the order book. Subsequently these buy unmatched …

This research improves demand forecasting by predicting complete probability density functions using machine learning.

This study proposes an efficient surrogate for Darcy flow inverse problems.

Study finds non-monotonic Value of Information in dynamic multi-market monopoly.

In the present work we demonstrate the application of different physical methods to high-frequency or tick-by-tick financial time series data. In particular, we calculate the Hurst exponent and inverse statistics for the price time series taken from a range of futures indices. Additionally, we show that in a limit orde…

Scientists often express their understanding of the world through a computationally demanding simulation program. Analyzing the posterior distribution of the parameters given observations (the inverse problem) can be extremely challenging. The Approximate Bayesian Computation (ABC) framework is the standard statistical…

This paper investigates the impact of pre-existing offline data on online learning, in the context of dynamic pricing. We study a single-product dynamic pricing problem over a selling horizon of $T$ periods. The demand in each period is determined by the price of the product according to a linear demand model with unkn…

New method for efficient uncertainty quantification in DeepONets.

Efficiently optimizes hyperparameters for PDE and inverse problems using Gaussian processes.

Global inverse function theorem proved easily using Riemannian geometry.

The paper explores continuous inverse ambiguous functions on various Lie groups.

This paper compares AMMs and LOBs in exchange mechanisms, formalizing complexity vs. expressiveness trade-offs.

The paper simplifies electricity market curves with less parameters.

Inverse reinforcement learning (IRL) is the problem of learning the preferences of an agent from the observations of its behavior on a task. While this problem has been well investigated, the related problem of {\em online} IRL---where the observations are incrementally accrued, yet the demands of the application often…

Unified framework for Bayesian PDE-constrained inversion using physics-informed neural networks.

The paper proves a generalized inverse function theorem for curved $L_\infty$ spaces.

New algorithm adapts to unknown demand smoothness for dynamic pricing.

This article presents a proof of the existence of Bertrand-Nash equilibrium prices with multi-product firms and under the Logit model of demand that does not rely on restrictive assumptions on product characteristics, firm homogeneity or symmetry, product costs, or linearity of the utility function. The proof is based …

Flow Annealing Posterior Sampling unifies stochastic-process regression and PDE inverse problems.

New approach for pricing evaluation improves on existing methods.

Dynamic pricing policy converges to Nash equilibrium with low regret.

New method for estimating parameters in inverse problems using double robustness.

In retailer management, the Newsvendor problem has widely attracted attention as one of basic inventory models. In the traditional approach to solving this problem, it relies on the probability distribution of the demand. In theory, if the probability distribution is known, the problem can be considered as fully solved…

Optimal hidden-target learning for online inventory optimization on general convex sets.

Study on equilibrium with non-convex preferences.

We propose a continuous-time stock-flow consistent model for inventory dynamics in an economy with firms, banks, and households. On the supply side, firms decide on production based on adaptive expectations for sales demand and a desired level of inventories. On the demand side, investment is determined as a function o…

Optimal insurance minimizes ruin probability with non-decreasing functions.

New framework estimates demand responses across multiple contexts with limited price variation.

Proposes a method to learn both constraints and objective functions from data.

New algorithms handle online prediction with bandit and delayed feedback, improving regret bounds.