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We give a rigorous complexity analysis of the simulated annealing algorithm by Kalai and Vempala [Math of OR 31.2 (2006): 253-266] using the type of temperature update suggested by Abernethy and Hazan [arXiv 1507.02528v2, 2015]. The…

Optimization and Control · Mathematics 2019-07-05 Riley Badenbroek , Etienne de Klerk

In this paper, we present Robust Model Predictive Control (MPC) problems with adjustable uncertainty sets. In contrast to standard Robust MPC problems with known uncertainty sets, we treat the uncertainty sets in our problems as additional…

Optimization and Control · Mathematics 2018-09-21 Yeojun Kim , Xiaojing Zhang , Jacopo Guanetti , Francesco Borrelli

This work studies distributed learning in the spirit of Yao's model of communication complexity: consider a two-party setting, where each of the players gets a list of labelled examples and they communicate in order to jointly perform some…

Machine Learning · Computer Science 2018-04-24 Daniel M. Kane , Roi Livni , Shay Moran , Amir Yehudayoff

We introduce a novel approach to reduce the computational effort of solving mixed-integer convex chance constrained programs through the scenario approach. Instead of reducing the number of required scenarios, we directly minimize the…

Optimization and Control · Mathematics 2020-02-05 Damian Frick , Pier Giuseppe Sessa , Tony A. Wood , Maryam Kamgarpour

Configuring consists in simulating the realization of a complex product from a catalog of component parts, using known relations between types, and picking values for object attributes. This highly combinatorial problem in the field of…

Artificial Intelligence · Computer Science 2007-05-23 Stephane Grandcolas , Laurent Henocque , Nicolas Prcovic

Monte Carlo algorithms are barely considered in spin foam quantum gravity. Due to the quantum nature of spin foam amplitudes one cannot readily apply them, and the present sign problem is a threat to convergence and thus efficiency. Yet,…

General Relativity and Quantum Cosmology · Physics 2024-07-25 Sebastian Steinhaus

We consider robust counterparts of uncertain combinatorial optimization problems, where the difference to the best possible solution over all scenarios is to be minimized. Such minmax regret problems are typically harder to solve than their…

Optimization and Control · Mathematics 2016-06-06 A. Chassein , M. Goerigk

Ising machines -- special-purpose hardware for heuristically solving Ising optimization problems -- based on probabilistic bits (p-bits) have been established as a promising alternative to heuristic optimization algorithms run on…

We consider the problem of planning a collision-free path of a robot in the presence of risk zones. The robot is allowed to travel in these zones but is penalized in a super-linear fashion for consecutive accumulative time spent there. We…

Computational Geometry · Computer Science 2017-03-10 Oren Salzman , Siddhartha Srinivasa

Robustness analysis is very important in biology and neuroscience, to unravel behavioural patterns of systems that are conserved despite large parametric uncertainties. To make studies of probabilistic robustness more efficient and scalable…

Quantitative Methods · Quantitative Biology 2026-01-08 Uros Sutulovic , Daniele Proverbio , Rami Katz , Giulia Giordano

The frustrated Ising model in two dimensions is revisited. The frustration is quantified in terms of the number of non-trivial plaquettes which is invariant under the Nishimori gauge symmetry. The exact ground state energy is calculated…

High Energy Physics - Lattice · Physics 2007-05-23 K. Langfeld , M. Quandt , W. Lutz , H. Reinhardt

The Kuramoto model exhibits different types of synchronization transitions depending on the type of natural frequency distribution. To obtain these results, the Kuramoto self-consistency equation (SCE) approach has been used successfully.…

Statistical Mechanics · Physics 2020-05-27 Je Ung Song , Jaegon Um , Jinha Park , B. Kahng

Constraint tightening to non-conservatively guarantee recursive feasibility and stability in Stochastic Model Predictive Control is addressed. Stability and feasibility requirements are considered separately, highlighting the difference…

Systems and Control · Computer Science 2016-05-13 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

We study the Kuramoto model with attractive sine coupling. We introduce a complex-valued matrix formulation whose argument coincides with the original Kuramoto dynamics. We derive an exact solution for the complex-valued model, which…

Dynamical Systems · Mathematics 2021-08-17 Lyle Muller , Ján Minác , Tung T. Nguyen

In this paper, we show that coherent sets of gambles can be embedded into the algebraic structure of information algebra. This leads firstly, to a new perspective of the algebraic and logical structure of desirability and secondly, it…

Artificial Intelligence · Computer Science 2021-05-26 Juerg Kohlas , Arianna Casanova , Marco Zaffalon

This work proposes a way to align statistical modeling with decision making. We provide a method that propagates the uncertainty in predictive modeling to the uncertainty in operational cost, where operational cost is the amount spent by…

Machine Learning · Statistics 2015-03-19 Theja Tulabandhula , Cynthia Rudin

The computational costs of inference and planning have confined Bayesian model-based reinforcement learning to one of two dismal fates: powerful Bayes-adaptive planning but only for simplistic models, or powerful, Bayesian non-parametric…

Artificial Intelligence · Computer Science 2014-02-11 Arthur Guez , David Silver , Peter Dayan

The easy-hard-easy pattern in the difficulty of combinatorial search problems as constraints are added has been explained as due to a competition between the decrease in number of solutions and increased pruning. We test the generality of…

Artificial Intelligence · Computer Science 2008-02-03 D. L. Mammen , T. Hogg

Growth in both size and complexity of modern data challenges the applicability of traditional likelihood-based inference. Composite likelihood (CL) methods address the difficulties related to model selection and computational intractability…

Statistics Theory · Mathematics 2017-09-12 Zhendong Huang , Davide Ferrari

The computational complexity of the partition, 0-1 subset sum, unbounded subset sum, 0-1 knapsack and unbounded knapsack problems and their multiple variants were studied in numerous papers in the past where all the weights and profits were…

Discrete Mathematics · Computer Science 2018-02-27 Dominik Wojtczak