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Model merging has emerged as an effective approach to combine multiple single-task models into a multitask model. This process typically involves computing a weighted average of the model parameters without any additional training. Existing…

Machine Learning · Computer Science 2025-04-28 Lu Li , Tianyu Zhang , Zhiqi Bu , Suyuchen Wang , Huan He , Jie Fu , Yonghui Wu , Jiang Bian , Yong Chen , Yoshua Bengio

We propose a dependence-aware predictive modeling framework for multivariate risks stemmed from an insurance contract with bundling features - an important type of policy increasingly offered by major insurance companies. The bundling…

Methodology · Statistics 2023-10-17 Peng Shi , Zifeng Zhao

We discuss martingales, detrending data, and the efficient market hypothesis for stochastic processes x(t) with arbitrary diffusion coefficients D(x,t). Beginning with x-independent drift coefficients R(t) we show that Martingale stochastic…

Physics and Society · Physics 2009-11-13 Joseph L. McCauley , Kevin E. Bassler , Gemunu H. Gunaratne

Using a proprietary dataset of meta-orders and prediction signals, and assuming a quasi-linear impact model, we deconvolve market impact from past correlated trades and a predictable return component to elicit the temporal dependence of the…

Trading and Market Microstructure · Quantitative Finance 2014-07-15 X. Brokmann , E. Serie , J. Kockelkoren , J. -P. Bouchaud

Entropy based ideas find wide-ranging applications in finance for calibrating models of portfolio risk as well as options pricing. The abstracted problem, extensively studied in the literature, corresponds to finding a probability measure…

Statistical Finance · Quantitative Finance 2014-11-04 Santanu Dey , Sandeep Juneja , Karthyek R. A. Murthy

The price of a stock will rarely follow the assumed model and a curious investor or a Regulatory Authority may wish to obtain a probability model the prices support. A risk neutral probability ${\cal P}^*$ for the stock's price at time $T$…

General Finance · Quantitative Finance 2015-06-23 Yannis G. Yatracos

We define \emph{engineered simultaneity}: the construction of a system that requires temporal comparison of events at spacelike-separated locations, implements this comparison via an implicit simultaneity convention, and represents the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-24 Paul Borrill

This paper studies the joint moments of a compound discounted renewal process observed at different times with each arrival removed from the system after a random delay. This process can be used to describe the aggregate (discounted)…

Probability · Mathematics 2018-12-10 Eric Cheung , Landy Rabehasaina , Jae-Kyung Woo , Ran Xu

In the online ride-hailing pricing context, companies often conduct randomized controlled trials (RCTs) and utilize uplift models to assess the effect of discounts on customer orders, which substantially influences competitive market…

Methodology · Statistics 2025-09-24 Kairong Han , Weidong Huang , Taiyang Zhou , Peng Zhen , Kun Kuang

We consider arbitrage free valuation of European options in Black-Scholes and Merton markets, where the general structure of the market is known, however the specific parameters are not known. In order to reflect this subjective uncertainty…

Mathematical Finance · Quantitative Finance 2017-01-13 Hanno Gottschalk , Elpida Nizami , Marius Schubert

We use random walks to simulate the fluid limit of two coupled diffusive limit order books to model correlation emergence. The model implements the arrival, cancellation and diffusion of orders coupled by a pairs trader profiting from the…

Trading and Market Microstructure · Quantitative Finance 2024-08-07 Dominic Bauer , Derick Diana , Tim Gebbie

Inaccurate records of inventory occur frequently, and by some measures cost retailers approximately 4% in annual sales. Detecting inventory inaccuracies manually is cost-prohibitive, and existing algorithmic solutions rely almost…

Machine Learning · Statistics 2022-07-15 Vivek F. Farias , Andrew A. Li , Tianyi Peng

Joint models of longitudinal and event-time data have been extensively studied and applied in many different fields. Estimation of joint models is challenging, most present procedures are computational expensive and have a strict…

Methodology · Statistics 2018-09-05 Yanqiao Zheng , Xiaobing Zhao , Xiaoqi Zhang

We develop an information-theoretic framework for discrete dynamics grounded in a comparison-cost functional on ratios. Given two quantities compared via their ratio \(x=a/b\), we assign a cost \(F(x)\) measuring deviation from equilibrium…

Information Theory · Computer Science 2026-01-21 Sebastian Pardo-Guerra , Megan Simons , Anil Thapa , Jonathan Washburn

Traditional pricing paradigms, once dominated by static models and rule-based heuristics, are increasingly being replaced by dynamic, data-driven approaches powered by machine learning algorithms. Despite their growing sophistication, most…

Machine Learning · Computer Science 2025-12-01 Marco Mussi , Marcello Restelli

We present empirical evidence on the relationship between demand shocks and price changes, conditional on returns to scale. We find that in industries with decreasing returns to scale, demand increases (which raise costs) correspond to…

General Economics · Economics 2025-02-11 Joel Kariel , Anthony Savagar

Conditional mutual information is important in the selection and interpretation of graphical models. Its empirical version is well known as a generalised likelihood ratio test and that it may be represented as a difference in entropy. We…

Methodology · Statistics 2015-01-20 Joe Whittaker , Florian Martin , Yang Xiang

The analysis of markets with indivisible goods and fixed exogenous prices has played an important role in economic models, especially in relation to wage rigidity and unemployment. This research report provides a mathematical and…

General Finance · Quantitative Finance 2015-08-11 Stefano Nasini , Jordi Castro , Pau Fonseca i Casas

Antitrust authorities frequently rely on structural divestitures to address competitive concerns raised by mergers. Using census-level establishment data and proprietary transaction records from the U.S. grocery sector, we provide…

General Economics · Economics 2026-04-17 Xiao Dong , Paul Koh , Devesh Raval , Dominic Smith , Brett Wendling

This paper models firm-to-firm trade in a production network as a set of double auctions. Firms have multilateral market power, namely, can affect prices in both input and output markets. The size and division of surplus are endogenous and…

Theoretical Economics · Economics 2026-03-24 Matteo Bizzarri