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Understanding how consumers respond to business advertising efforts is essential for optimizing marketing investment. This research introduces a new modeling approach based on the concepts of symmetries and scaling laws in physics to…

Physics and Society · Physics 2025-03-14 Javier Marin

Many marketing applications, including credit card incentive programs, offer rewards to customers who exceed specific spending thresholds to encourage increased consumption. Quantifying the causal effect of these thresholds on customers is…

Methodology · Statistics 2026-01-19 Kohsuke Kubota , Shonosuke Sugasawa

Biochemical signalling cascades transduce extracellular stimuli into cellular responses through sequences of discrete, node-to-node activations. While signal fidelity depends critically on local interaction kinetics, the mechanisms…

Dynamical Systems · Mathematics 2026-04-20 Chathranee Jayathilaka , Mark B. Flegg

Recent years have seen a resurgence in interest in marketing mix models (MMMs), which are aggregate-level models of marketing effectiveness. Often these models incorporate nonlinear effects, and either implicitly or explicitly assume that…

Econometrics · Economics 2024-08-15 Ryan Dew , Nicolas Padilla , Anya Shchetkina

All biological processes are controlled by complex systems of enzymatic chemical reactions. Although the majority of enzymatic networks have very elaborate structures, there are many experimental observations indicating that some turnover…

Statistical Mechanics · Physics 2015-05-27 Anatoly B. Kolomeisky

In a multi-channel marketing world, the purchase decision journey encounters many interactions (e.g., email, mobile notifications, display advertising, social media, and so on). These impressions have direct (main effects), as well as…

Applications · Statistics 2022-06-01 Ritwik Sinha , David Arbour , Aahlad Manas Puli

Whole-brain network analyses remain the vanguard in neuroimaging research, coming to prominence within the last decade. Network science approaches have facilitated these analyses and allowed examining the brain as an integrated system.…

Applications · Statistics 2015-05-04 Sean L. Simpson , Paul J. Laurienti

Linear mixed-effects models are a central analytical tool for modeling hierarchical and longitudinal data, as they allow simultaneous representation of fixed and random sources of variation. In practice, inference for such models is most…

Methodology · Statistics 2026-02-12 Hilde Vinje , Lars Erik Gangsei

Multivariate time series forecasting is critical in many real-world systems, and thus modeling cross-channel dependencies is essential. Although existing methods improve overall accuracy by enhancing representations and cross-channel…

Machine Learning · Computer Science 2026-05-12 Fan Zhang , Shiming Fan , Hua Wang

Marketing mix models (MMMs) are statistical models for measuring the effectiveness of various marketing activities such as promotion, media advertisement, etc. In this research, we propose a comprehensive marketing mix model that captures…

Applications · Statistics 2021-07-01 Hao Chen , Minguang Zhang , Lanshan Han , Alvin Lim

The Michaelis-Menten enzymatic reaction is sufficient to perceive many subtleties of network modeling, including the concentration and time scales separations, the formal equivalence between bulk phase and single-molecule approaches, or the…

Chemical Physics · Physics 2022-01-03 Denis Michel , Philippe Ruelle

Enzyme kinetics has historically been described by deterministic models, with the Michaelis-Menten (MM) equation serving as a paradigm. However, recent experimental and theoretical advances have made it clear that stochastic fluctuations,…

Molecular Networks · Quantitative Biology 2025-04-08 Jiaji Qu , Malini Rajbhandari

We define a message-passing algorithm for computing magnetizations in Restricted Boltzmann machines, which are Ising models on bipartite graphs introduced as neural network models for probability distributions over spin configurations. To…

Machine Learning · Computer Science 2020-12-02 Burak Çakmak , Manfred Opper

Marketing mix modeling (MMM) is a widely used method to assess the effectiveness of marketing campaigns and optimize marketing strategies. Bayesian MMM is an advanced approach that allows for the incorporation of prior information,…

Applications · Statistics 2025-01-03 Roy Ravid

Finite mixtures of matrix normal distributions are a powerful tool for classifying three-way data in unsupervised problems. The distribution of each component is assumed to be a matrix variate normal density. The mixture model can be…

Methodology · Statistics 2013-03-07 Cinzia Viroli

To understand the behaviour of complex systems it is often necessary to use models that describe the dynamics of subnetworks. It has previously been established using projection methods that such subnetwork dynamics generically involves…

Molecular Networks · Quantitative Biology 2016-06-08 Katy J. Rubin , Peter Sollich

Marketing Mix Modeling (MMM) estimates the impact of marketing activities on business outcomes such as sales or revenue. Traditional MMM approaches rely on linear regression or Bayesian hierarchical models that assume channel independence…

Machine Learning · Computer Science 2026-04-28 Aditya Puttaparthi Tirumala

The rise of Online Social Networks (OSNs) has caused an insurmountable amount of interest from advertisers and researchers seeking to monopolize on its features. Researchers aim to develop strategies for determining how information is…

Machine Learning · Statistics 2018-03-09 Trisha Lawrence

The equilibration of enzyme and complex concentrations in deterministic Michaelis-Menten reaction networks underlies the hyperbolic dependence between the input (substrates) and output (products). This relationship was first obtained by…

Molecular Networks · Quantitative Biology 2024-09-30 Subham Pal , Manmath Panigrahy , R. Adhikari , Arti Dua

Achieving a just and sustainable transition requires the pursuit of multiple social and environmental targets. Two primary barriers impede this process: (1) targets are often in conflict with each other, and (2) policies aimed at these…

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