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In this paper, we introduce Ballooning Multi-Armed Bandits (BL-MAB), a novel extension of the classical stochastic MAB model. In the BL-MAB model, the set of available arms grows (or balloons) over time. In contrast to the classical MAB…

Machine Learning · Computer Science 2021-02-23 Ganesh Ghalme , Swapnil Dhamal , Shweta Jain , Sujit Gujar , Y. Narahari

Because the decathlon tests many facets of athleticism, including sprinting, throwing, jumping, and endurance, many consider it to be the ultimate test of athletic ability. On this view, estimating the maximal decathlon score and…

Applications · Statistics 2026-05-06 Paul-Hieu V. Nguyen , James M. Smoliga , Benton Lindaman , Sameer K. Deshpande

We study the matroid semi-bandits problem, where at each round the learner plays a subset of $K$ arms from a feasible set, and the goal is to maximize the expected cumulative linear rewards. Existing algorithms have per-round time…

Machine Learning · Computer Science 2024-05-29 Ruo-Chun Tzeng , Naoto Ohsaka , Kaito Ariu

Mechanism design is essentially reverse engineering of games and involves inducing a game among strategic agents in a way that the induced game satisfies a set of desired properties in an equilibrium of the game. Desirable properties for a…

Computer Science and Game Theory · Computer Science 2026-03-06 V. Udaya Sankar , Vishisht Srihari Rao , Mayank Ratan Bhardwaj , Y. Narahari

The reachability analysis of weighted pushdown systems is a very powerful technique in verification and analysis of recursive programs. Each transition rule of a weighted pushdown system is associated with an element of a bounded semiring…

Formal Languages and Automata Theory · Computer Science 2019-03-14 Yasuhiko Minamide

Bennett's pebble game was introduced to obtain better time/space tradeoffs in the simulation of standard Turing machines by reversible ones. So far only upper bounds for the tradeoff based on the pebble game have been published. Here we…

Combinatorics · Mathematics 2016-09-06 Emanuel Knill

This paper studies the regions of parameter space of engineering design in which performance is sensitive to design parameters. Some of these parameters (for example, the dimensions and compositions of components) constitute the design, but…

Physics and Society · Physics 2014-09-15 J. I. Katz

This paper deals with the extreme value analysis for the triangular arrays, which appear when some parameters of the mixture model vary as the number of observations grow. When the mixing parameter is small, it is natural to associate one…

Statistics Theory · Mathematics 2021-03-17 Vladimir Panov , Ekaterina Morozova

A formalism for semi-adiabatic cranking mass parameters is presented. For the fission process of 234U, the time-dependent pairing equations of motion were used to calculate the excitation energy and to extract values of the cranking…

Nuclear Theory · Physics 2015-05-14 M. Mirea , R. C. Bobulescu

This paper takes a look at omnibus tests of goodness of fit in the context of reweighted Anderson-Darling tests and makes threefold contributions. The first contribution is to provide a geometric understanding. It is argued that the test…

Methodology · Statistics 2023-05-11 Chuanhai Liu

The early sections of this paper present an analysis of a Markov decision model that is known as the multi-armed bandit under the assumption that the utility function of the decision maker is either linear or exponential. The analysis…

Optimization and Control · Mathematics 2012-03-22 Eric V. Denardo , Eugene A. Feinberg , Uriel G. Rothblum

We consider a situation where an agent has $T$ ressources to be allocated to a larger number $N$ of actions. Each action can be completed at most once and results in a stochastic reward with unknown mean. The goal of the agent is to…

Statistics Theory · Mathematics 2020-11-04 Solenne Gaucher

The purpose of this paper is to characterize aiming errors in controlled weapon systems given target location as input. To achieve this objective, we analyze the accuracy of a controlled weapon system model for stationary and moving targets…

Systems and Control · Electrical Eng. & Systems 2024-09-02 Matthew Karlson , Heng Ban , Daniel G. Cole , Mai Abdelhakim , Jennifer Forsythe , John T. Fitzgibbons

Classical thermodynamics aimed to quantify the efficiency of thermodynamic engines by bounding the maximal amount of mechanical energy produced compared to the amount of heat required. While this was accomplished early on, by Carnot and…

Optimization and Control · Mathematics 2020-01-22 Rui Fu , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

The last decade has seen a number of advances in computationally efficient algorithms for statistical methods subject to robustness constraints. An estimator may be robust in a number of different ways: to contamination of the dataset, to…

Machine Learning · Statistics 2025-09-08 Gautam Kamath

The reconstruction of fundamental parameters in supersymmetric theories requires the evolution to high scales, where the characteristic regularities in mechanisms of supersymmetry breaking become manifest. We have studied a set of…

High Energy Physics - Phenomenology · Physics 2011-05-05 G. A. Blair , W. Porod , P. M. Zerwas

Arthur [1,2] provided a model to explain the circumstances that lead to technological lock-in into a specific trajectory. We contribute substantially to this area of research by investigating the circumstances under which technological…

Physics and Society · Physics 2009-11-09 Wilfred Dolfsma , Loet Leydesdorff

We introduce a new parameter to investigate replica symmetry breaking transitions using finite-size scaling methods. Based on exact equalities initially derived by F. Guerra this parameter is a direct check of the self-averaging character…

Statistical Mechanics · Physics 2009-10-31 E. Marinari , C. Naitza , F. Zuliani , G. Parisi , M. Picco , F. Ritort

Robust estimation is much more challenging in high dimensions than it is in one dimension: Most techniques either lead to intractable optimization problems or estimators that can tolerate only a tiny fraction of errors. Recent work in…

Machine Learning · Computer Science 2018-03-14 Ilias Diakonikolas , Gautam Kamath , Daniel M. Kane , Jerry Li , Ankur Moitra , Alistair Stewart

This paper proposes an integrated design optimization framework for the gain schedules and bending filter for the longitudinal control of a rocket during its ascent flight. Dynamic models representing the pitch/yaw motion of a rocket…

Optimization and Control · Mathematics 2018-02-07 Sang-Il Leea , Jaemyung Ahn , Woong-Rae Roh