3,307 research outputs found
Runtime Distributions and Criteria for Restarts
Randomized algorithms sometimes employ a restart strategy. After a certain
number of steps, the current computation is aborted and restarted with a new,
independent random seed. In some cases, this results in an improved overall
expected runtime. This work introduces properties of the underlying runtime
distribution which determine whether restarts are advantageous. The most
commonly used probability distributions admit the use of a scale and a location
parameter. Location parameters shift the density function to the right, while
scale parameters affect the spread of the distribution. It is shown that for
all distributions scale parameters do not influence the usefulness of restarts
and that location parameters only have a limited influence. This result
simplifies the analysis of the usefulness of restarts. The most important
runtime probability distributions are the log-normal, the Weibull, and the
Pareto distribution. In this work, these distributions are analyzed for the
usefulness of restarts. Secondly, a condition for the optimal restart time (if
it exists) is provided. The log-normal, the Weibull, and the generalized Pareto
distribution are analyzed in this respect. Moreover, it is shown that the
optimal restart time is also not influenced by scale parameters and that the
influence of location parameters is only linear
SUNNY-CP and the MiniZinc Challenge
In Constraint Programming (CP) a portfolio solver combines a variety of
different constraint solvers for solving a given problem. This fairly recent
approach enables to significantly boost the performance of single solvers,
especially when multicore architectures are exploited. In this work we give a
brief overview of the portfolio solver sunny-cp, and we discuss its performance
in the MiniZinc Challenge---the annual international competition for CP
solvers---where it won two gold medals in 2015 and 2016. Under consideration in
Theory and Practice of Logic Programming (TPLP)Comment: Under consideration in Theory and Practice of Logic Programming
(TPLP
Black-Box Data-efficient Policy Search for Robotics
The most data-efficient algorithms for reinforcement learning (RL) in
robotics are based on uncertain dynamical models: after each episode, they
first learn a dynamical model of the robot, then they use an optimization
algorithm to find a policy that maximizes the expected return given the model
and its uncertainties. It is often believed that this optimization can be
tractable only if analytical, gradient-based algorithms are used; however,
these algorithms require using specific families of reward functions and
policies, which greatly limits the flexibility of the overall approach. In this
paper, we introduce a novel model-based RL algorithm, called Black-DROPS
(Black-box Data-efficient RObot Policy Search) that: (1) does not impose any
constraint on the reward function or the policy (they are treated as
black-boxes), (2) is as data-efficient as the state-of-the-art algorithm for
data-efficient RL in robotics, and (3) is as fast (or faster) than analytical
approaches when several cores are available. The key idea is to replace the
gradient-based optimization algorithm with a parallel, black-box algorithm that
takes into account the model uncertainties. We demonstrate the performance of
our new algorithm on two standard control benchmark problems (in simulation)
and a low-cost robotic manipulator (with a real robot).Comment: Accepted at the IEEE/RSJ International Conference on Intelligent
Robots and Systems (IROS) 2017; Code at
http://github.com/resibots/blackdrops; Video at http://youtu.be/kTEyYiIFGP
Investigation of the applicability of a functional programming model to fault-tolerant parallel processing for knowledge-based systems
In a fault-tolerant parallel computer, a functional programming model can facilitate distributed checkpointing, error recovery, load balancing, and graceful degradation. Such a model has been implemented on the Draper Fault-Tolerant Parallel Processor (FTPP). When used in conjunction with the FTPP's fault detection and masking capabilities, this implementation results in a graceful degradation of system performance after faults. Three graceful degradation algorithms have been implemented and are presented. A user interface has been implemented which requires minimal cognitive overhead by the application programmer, masking such complexities as the system's redundancy, distributed nature, variable complement of processing resources, load balancing, fault occurrence and recovery. This user interface is described and its use demonstrated. The applicability of the functional programming style to the Activation Framework, a paradigm for intelligent systems, is then briefly described
Massively Parallel Continuous Local Search for Hybrid SAT Solving on GPUs
Although state-of-the-art (SOTA) SAT solvers based on conflict-driven clause
learning (CDCL) have achieved remarkable engineering success, their sequential
nature limits the parallelism that may be extracted for acceleration on
platforms such as the graphics processing unit (GPU). In this work, we propose
FastFourierSAT, a highly parallel hybrid SAT solver based on gradient-driven
continuous local search (CLS). This is realized by a novel parallel algorithm
inspired by the Fast Fourier Transform (FFT)-based convolution for computing
the elementary symmetric polynomials (ESPs), which is the major computational
task in previous CLS methods. The complexity of our algorithm matches the best
previous result. Furthermore, the substantial parallelism inherent in our
algorithm can leverage the GPU for acceleration, demonstrating significant
improvement over the previous CLS approaches. We also propose to incorporate
the restart heuristics in CLS to improve search efficiency. We compare our
approach with the SOTA parallel SAT solvers on several benchmarks. Our results
show that FastFourierSAT computes the gradient 100+ times faster than previous
prototypes implemented on CPU. Moreover, FastFourierSAT solves most instances
and demonstrates promising performance on larger-size instances
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