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The accessibility of spatially distributed data, enabled by affordable sensors, field, and numerical experiments, has facilitated the development of data-driven solutions for scientific problems, including climate change, weather…

Machine Learning · Computer Science 2023-11-09 Vardhan Dongre , Gurpreet Singh Hora

In a recent work (Ghazi et al., SODA 2016), the authors with Komargodski and Kothari initiated the study of communication with contextual uncertainty, a setup aiming to understand how efficient communication is possible when the…

Information Theory · Computer Science 2017-05-03 Badih Ghazi , Madhu Sudan

This thesis mainly focuses on two problems in capital structure and individual's life-cycle portfolio choice. In the first problem, we derive a stochastic control model to optimize banks' dividend and recapitalization policies and calibrate…

Mathematical Finance · Quantitative Finance 2021-07-07 Shan Huang

We consider microstructure as an arbitrary contamination of the underlying latent securities price, through a Markov kernel $Q$. Special cases include additive error, rounding and combinations thereof. Our main result is that, subject to…

Statistical Finance · Quantitative Finance 2008-12-02 Yingying Li , Per A. Mykland

This paper is concerned with a simulation study for a stochastic production network model, where the capacities of machines may change randomly. We introduce performance measures motivated by risk measures from finance leading to a…

Optimization and Control · Mathematics 2019-05-14 Simone Göttlich , Stephan Knapp

Quantum key distribution (QKD) enables two remote parties to grow a shared key which they can use for unconditionally secure communication [1]. The applicable distance of a QKD protocol depends on the loss and the excess noise of the…

Quantum Physics · Physics 2012-10-08 Lars S. Madsen , Vladyslav C. Usenko , Mikael Lassen , Radim Filip , Ulrik L. Andersen

Distant supervision based methods for entity and relation extraction have received increasing popularity due to the fact that these methods require light human annotation efforts. In this paper, we consider the problem of \textit{shifted…

Computation and Language · Computer Science 2020-04-22 Daoyuan Chen , Yaliang Li , Kai Lei , Ying Shen

A novel solution to the smoothing problem for multi-object dynamical systems is proposed and evaluated. The systems of interest contain an unknown and varying number of dynamical objects that are partially observed under noisy and corrupted…

Computation · Statistics 2020-09-08 Jeremie Houssineau , Jiajie Zeng , Ajay Jasra

A unified analytical pricing framework with involvement of the shot noise random process has been introduced and elaborated. Two exactly solvable new models have been developed. The first model has been designed to value options. It is…

Pricing of Securities · Quantitative Finance 2014-10-15 Nick Laskin

Missing data and noisy observations pose significant challenges for reliably predicting events from irregularly sampled multivariate time series (longitudinal) data. Imputation methods, which are typically used for completing the data prior…

Machine Learning · Statistics 2017-08-17 Hossein Soleimani , James Hensman , Suchi Saria

Developing large language models is expensive and involves making decisions with small experiments, typically by evaluating on large, multi-task evaluation suites. In this work, we analyze specific properties which make a benchmark more…

Computation and Language · Computer Science 2025-08-19 David Heineman , Valentin Hofmann , Ian Magnusson , Yuling Gu , Noah A. Smith , Hannaneh Hajishirzi , Kyle Lo , Jesse Dodge

No-arbitrage models of term structure have the feature that the return on zero-coupon bonds is the sum of the short rate and the product of volatility and market price of risk. Well known models restrict the behavior of the market price of…

Pricing of Securities · Quantitative Finance 2010-05-21 Hassan Allouba , Victor Goodman

Changes in collateralization have been implicated in significant default (or near-default) events during the financial crisis, most notably with AIG. We have developed a framework for quantifying this effect based on moving between…

Risk Management · Quantitative Finance 2013-02-20 Chris Kenyon , Andrew Green

This paper addresses the challenge of model uncertainty in quantitative finance, where decisions in portfolio allocation, derivative pricing, and risk management rely on estimating stochastic models from limited data. In practice, the…

Computational Finance · Quantitative Finance 2025-06-10 Hans Buehler , Blanka Horvath , Yannick Limmer , Thorsten Schmidt

There are two major types of uncertainty one can model. Aleatoric uncertainty captures noise inherent in the observations. On the other hand, epistemic uncertainty accounts for uncertainty in the model -- uncertainty which can be explained…

Computer Vision and Pattern Recognition · Computer Science 2017-10-06 Alex Kendall , Yarin Gal

When modelling time series, it is common to decompose observed variation into a "signal" process, the process of interest, and "noise", representing nuisance factors that obfuscate the signal. To separate signal from noise, assumptions must…

Methodology · Statistics 2020-11-11 Richard Creswell , Ben Lambert , Chon Lok Lei , Martin Robinson , David Gavaghan

Kinetic equations play a major rule in modeling large systems of interacting particles. Recently the legacy of classical kinetic theory found novel applications in socio-economic and life sciences, where processes characterized by large…

Numerical Analysis · Mathematics 2017-06-26 Giacomo Dimarco , Lorenzo Pareschi , Mattia Zanella

The concept of quantum coherence and its possible use as a resource are currently the subject of active researches. Uncertainty and complementarity relations for quantum coherence allow one to study its changes with respect to other…

Quantum Physics · Physics 2021-04-20 Alexey E. Rastegin

The sixth assessment of the international panel on climate change (IPCC) states that "cumulative net CO2 emissions over the last decade (2010-2019) are about the same size as the 11 remaining carbon budget likely to limit warming to 1.5C…

Artificial Intelligence · Computer Science 2022-08-24 Pietro Baroni , Federico Cerutti , Massimiliano Giacomin , Lance M. Kaplan , Murat Sensoy

In quantitative finance, we often model asset prices as a noisy Ito semimartingale. As this model is not identifiable, approximating by a time-changed Levy process can be useful for generative modelling. We give a new estimate of the…

Statistics Theory · Mathematics 2014-11-17 Adam D. Bull