This class implements the Self-Tuning Lam annealing schedule, which is an improved variation of the Modified Lam annealing schedule. The original Modified Lam annealing schedule dynamically adjusts simulated annealing's temperature parameter up and down to either decrease or increase the neighbor acceptance rate as necessary to attempt to match a theoretically determined ideal. The Modified Lam annealing schedule is a practical realization of Lam and Delosme's (1988) schedule, refined first by Swartz (1993) and then further by Boyan (1998), and later optimized further by Cicirello (2020). The Modified Lam annealing schedule is, however, somewhat sensitive to the magnitude of cost function differences relative to neighboring solutions. In particular, the temperature can be slow to converge to that needed to achieve the target track of the rate of acceptance. The Self-Tuning Lam schedule is a new variation that uses early samples of the cost function to fine-tune several annealing parameters to almost instantaneously achieve the target rate of acceptance, and to better match it throughout the run. This Self-Tuning Lam schedule is not sensitive to cost function scale, nor to run length.
The Self-Tuning Lam is introduced in the following paper, including detailed description of the algorithm, derivations of the mechanisms used for self-tuning, and experiments across a range of problems demonstrating its ability to consistently and accurately follow Lam and Delosme's idealized rate of neighbor acceptance, independent of run length and cost function scale:
- Vincent A. Cicirello. 2021. Self-Tuning Lam Annealing: Learning Hyperparameters While Problem Solving, Applied Sciences, 11(21), Article 9828 (November 2021). doi:10.3390/app11219828.
For details of the original Modified Lam, as well as prior optimizations, see the following papers:
- Vincent A. Cicirello. 2020. Optimizing the Modified Lam Annealing Schedule. Industrial Networks and Intelligent Systems, 7(25): 1-11, Article e1 (December 2020). doi:10.4108/eai.16-12-2020.167653.
- Lam, J., and Delosme, J. 1988. Performance of a new annealing schedule. In Proc. 25th ACM/IEEE DAC, 306–311.
- Swartz, W. P. 1993. Automatic Layout of Analog and Digital Mixed Macro/Standard Cell Integrated Circuits. Ph.D. Dissertation, Yale University.
- Boyan, J. A. 1998. Learning Evaluation Functions for Global Optimization. Ph.D. Dissertation, Carnegie Mellon University, Pittsburgh, PA.
The Chips-n-Salsa library also includes an implementation of the original
Modified Lam schedule that is the result of a direct
implementation of Boyan's description of the annealing schedule,
ModifiedLamOriginal class, as well as Cicirello's Optimized
Modified Lam in the
accept(double, double) methods of this class use the classic, and most common,
Boltzmann distribution for determining whether to accept a neighbor.
Constructor SummaryConstructorDescriptionDefault constructor.
Method SummaryModifier and TypeMethodDescription
(double neighborCost, double currentCost)Determine whether or not to accept a neighboring solution based on its cost and the current cost, both passed as parameters.
(int maxEvals)Perform any initialization necessary for the annealing schedule at to the start of a run of simulated annealing.
split()Generates a functionally identical copy of this object, for use in multithreaded implementations of search algorithms.
SelfTuningLampublic SelfTuningLam()Default constructor. The Self-Tuning Lam annealing schedule, unlike other annealing schedules, has no control parameters other than the run length (the maxEvals parameter of the
init(int)method), so no parameters need be passed to the constructor.
initpublic void init
(int maxEvals)Description copied from interface:
AnnealingSchedulePerform any initialization necessary for the annealing schedule at to the start of a run of simulated annealing. This includes initializing the temperature parameter. This method is called once by implementations of simulated annealing at the start of the run. Implementations of simulated annealing that perform reannealing will also call this once at the start of each reanneal.
- Specified by:
maxEvals- The maximum length of the run of simulated annealing about to start. Some annealing schedules depend upon prior knowledge of run length. For those annealing schedules that don't depend upon run length, this parameter is ignored.
acceptpublic boolean accept
(double neighborCost, double currentCost)Description copied from interface:
AnnealingScheduleDetermine whether or not to accept a neighboring solution based on its cost and the current cost, both passed as parameters. Lower cost indicates better solution. This method must also update the temperature and any other state data related to the annealing schedule.
splitpublic SelfTuningLam split()Description copied from interface:
SplittableGenerates a functionally identical copy of this object, for use in multithreaded implementations of search algorithms. The state of the object that is returned may or may not be identical to that of the original. Thus, this is a distinct concept from the functionality of the
Copyableinterface. Classes that implement this interface must ensure that the object returned performs the same functionality, and that it does not share any state data that would be either unsafe or inefficient for concurrent access by multiple threads. The split method is allowed to simply return the this reference, provided that it is both safe and efficient for multiple threads to share a single copy of the Splittable object. The intention is to provide a multithreaded search with the capability to provide spawned threads with their own distinct search operators. Such multithreaded algorithms can call the split method for each thread it spawns to generate a functionally identical copy of the operator, but with independent state.