MINIMAXGAMES,SPINGLASSESANDTHE POLYNOMIAL-TIMEHIERARCHYOFCOMPLEXITYCLASSES VARGAPETER Abstract.Weusethenegativereplicamethod,whichwasoriginallydevel- opedforthestudyofoverfrustationindisorderedsystem,toinvestigatethe statisticalbehaviourofthecostfunctionofminimaxgames.Thesegames aretreatedashierarchicalstatisticalmechanical...
Examples of Time Complexity Jyh-Shing Roger Jang (張智星) CSIE Dept, National Taiwan University Time Complexity Examples: O(n) for (i=0; i<n; i++) { statements… } for (i=0; i<n; i=i+2) { statements… } for (i=0; i<n; i=i+50) { statements… } Time Complexity Examples:...
We also establish theoretical bounds on the complexity of solving both smooth and nonsmooth nonconvex-concave minimax optimization problems. To the best of our knowledge, this is the first systematic analysis of TTGDA for nonconvex minimax optimization, shedding light on its superior performance in ...
Moreover, through analyzing the computational complexity of the two stages, we illustrate an interesting phenomenon that larger sample size can reduce the total iteration complexity. Our framework motivates a general paradigm for solving many complex statistical problems which involve nonconvex optimization...
PAC-RL:Fiechter [34] first proposed the PAC RL framework, and algorithms with sample complexity O((SAH3/2) log(1/)) have been developed [35,36], which are minimax-optimal in time-inhomogeneous MDPs [37]. These algorithms combine a well-chosen halting rule with an optimistic sampling rul...
In particular, each iteration of the proposed algorithm requires to solve the hidden convex problems. The computational complexity is linear with the number of iterations and polynomial with the sizes of the STTW and the STRF. Finally, the gain and the computation ...
PYRAFORMER: LOW-COMPLEXITY PYRAMIDAL ATTENTION FOR LONG-RANGE TIME SERIES MODELING AND FORECASTING ICLR 2022 Code link Electricity, Wind, ETT data and App Flow a novel model based on pyramidal attention that can effectively describe both short and long temporal dependencies with low time and space ...
1.1 About cost-complexity pruning Even though the original cost function of the CART algorithm described by [6] is penalised proportionally to its number of leaves \(n_L\), several works on the matter suggest other types of penalty. [3] shows that applying risk bounds to CART implies a pe...
This paper, by using generating unit clustering procedure, reduced the complexity of power system. It also calculated stability sensitivity coefficients for utilization in constrained economic dispatch. The test system selected was the American southwest real network including 632 buses and 89 machines. ...
Our algorithm-specific lower bound suggests that softmax PG methods—in their vanilla form—might take a prohibitively long time to converge when the state space and effective horizon are large. This is in stark contrast to the convergence rate of NPG type methods, whose iteration complexity is ...