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This paper investigates the use of retrospective approximation solution paradigm in solving risk-averse optimization problems effectively via importance sampling (IS). While IS serves as a prominent means for tackling the large sample…

Risk Management · Quantitative Finance 2022-06-28 Anand Deo , Karthyek Murthy , Tirtho Sarker

In this paper, we propose new sampling approaches for the Shrinkage Inverse-Wishart (SIW) distribution, a generalized family of the Inverse-Wishart distribution originally proposed by Berger et al. (2020, Annals of Statistics). It offers a…

Methodology · Statistics 2025-11-14 Yiye Jiang

Many cosmological models have only a finite number of parameters of interest, but a very expensive data-generating process and an intractable likelihood function. We address the problem of performing likelihood-free Bayesian inference from…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-14 Florent Leclercq

We propose an adaptive sequential framework for testing two simple hypotheses that analytically ensures finite exposure to the less effective treatment. Our proposed procedure employs a likelihood ratio-driven adaptive allocation rule,…

Statistics Theory · Mathematics 2025-11-26 Sampurna Kundu , Jayant Jha , Subir Kumar Bhandari

Reinforcement learning (RL) is a sub-domain of machine learning, mainly concerned with solving sequential decision-making problems by a learning agent that interacts with the decision environment to improve its behavior through the reward…

Machine Learning · Computer Science 2025-09-23 Hossein Hassani , Ehsan Hallaji , Roozbeh Razavi-Far , Mehrdad Saif , Liang Lin

Accurate surrogate construction for PDE-driven high-dimensional rare-event simulation is challenging when performance evaluations are expensive. Since a globally accurate surrogate may require many high-fidelity evaluations, adaptive…

Numerical Analysis · Mathematics 2026-05-18 Zhiwei Gao , George Karniadakis

Although many computational methods for rare event sampling exist, this type of calculation is not usually practical for general nonequilibrium conditions, with macroscopically irreversible dynamics and away from both stationary and…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Joshua T. Berryman , Tanja Schilling

Labeled data can be expensive to acquire in several application domains, including medical imaging, robotics, and computer vision. To efficiently train machine learning models under such high labeling costs, active learning (AL) judiciously…

Machine Learning · Computer Science 2022-06-13 Konstantinos D. Polyzos , Qin Lu , Georgios B. Giannakis

Many real-world situations allow for the acquisition of additional relevant information when making an assessment with limited or uncertain data. However, traditional ML approaches either require all features to be acquired beforehand or…

Machine Learning · Computer Science 2021-03-15 Yang Li , Junier B. Oliva

In this paper, to synchronize Ultra Wideband (UWB) systems in ad-hoc multi-user environments, we propose a new timing acquisition approach for achieving a good performance despite the difficulties to get there. Synchronization constraints…

Networking and Internet Architecture · Computer Science 2012-09-13 Moez Hizem , Ridha Bouallegue

In this paper, we propose a novel robust stochastic optimization approach with a distinctive consideration for rare events, in which divergence measures are used to bound the event-wise ambiguity sets. This is done by using the Poisson…

Optimization and Control · Mathematics 2021-09-14 Aakil M. Caunhye , Douglas Alem

Speculative Decoding is a prominent technique for accelerating the autoregressive inference of large language models (LLMs) by employing a fast draft model to propose candidate token sequences and a large target model to verify them in…

Computation and Language · Computer Science 2025-12-18 Chendong Sun , Ali Mao , Lei Xu , mingmin Chen

Importance sampling is a widely used technique to estimate properties of a distribution. This paper investigates trading-off some bias for variance by adaptively winsorizing the importance sampling estimator. The novel winsorizing…

Computation · Statistics 2021-02-10 Paulo Orenstein

Rare event simulation and rare event probability estimation are important tasks within the analysis of systems subject to uncertainty and randomness. Simultaneously, accurately estimating rare event probabilities is an inherently difficult…

Methodology · Statistics 2024-07-18 Max Ehre , Iason Papaioannou , Daniel Straub

Molecular motors and other complex nonequilibrium systems are controlled by large sets of design parameters, and optimizing those parameters requires computing sensitivities -- derivatives of dynamical observables with respect to the…

Statistical Mechanics · Physics 2026-05-12 John Strahan , Todd R. Gingrich

We present a general architecture for the acquisition of ensembles of correlated signals. The signals are multiplexed onto a single line by mixing each one against a different code and then adding them together, and the resulting signal is…

Information Theory · Computer Science 2018-06-13 Ali Ahmed , Justin Romberg

This paper introduces a probabilistic framework to estimate parameters of an acquisition function given observed human behavior that can be modeled as a collection of sample paths from a Bayesian optimization procedure. The methodology…

Human-Computer Interaction · Computer Science 2022-02-04 Nathan Sandholtz , Yohsuke Miyamoto , Luke Bornn , Maurice Smith

Rare-event prediction is critical in domains such as healthcare, finance, reliability engineering, customer support, aviation safety, where positive outcomes are infrequent yet potentially catastrophic. Extreme class imbalance biases…

Machine Learning · Computer Science 2026-01-26 Vitaly Bulgakov , Alexander Turchin

Rare events are essential for understanding the behavior of non-equilibrium and industrial systems. It is of ongoing interest to develop methods for effectively searching for rare events. With the advent of quantum computing and its…

Quantum Physics · Physics 2025-04-24 Alissa Wilms , Laura Ohff , Andrea Skolik , Jens Eisert , Sumeet Khatri , David A. Reiss

We consider the problem of chance constrained optimization where it is sought to optimize a function and satisfy constraints, both of which are affected by uncertainties. The real world declinations of this problem are particularly…