Relaxed Schedulers Can Efficiently Parallelize Iterative Algorithms

There has been significant progress in understanding the parallelism inherent to iterative sequential algorithms: for many classic algorithms, the depth of the dependence structure is now well understood, and scheduling techniques have been developed to exploit this shallow dependence structure for efficient parallel implementations. A related, applied research strand has studied methods by which certain iterative task-based algorithms can be efficiently parallelized via relaxed concurrent priority schedulers. These allow for high concurrency when inserting and removing tasks, at the cost of executing superfluous work due to the relaxed semantics of the scheduler. In this work, we take a step towards unifying these two research directions, by showing that there exists a family of relaxed priority schedulers that can efficiently and deterministically execute classic iterative algorithms such as greedy maximal independent set (MIS) and matching. Our primary result shows that, given a randomized scheduler with an expected relaxation factor of $k$ in terms of the maximum allowed priority inversions on a task, and any graph on $n$ vertices, the scheduler is able to execute greedy MIS with only an additive factor of poly($k$) expected additional iterations compared to an exact (but not scalable) scheduler. This counter-intuitive result demonstrates that the overhead of relaxation when computing MIS is not dependent on the input size or structure of the input graph. Experimental results show that this overhead can be clearly offset by the gain in performance due to the highly scalable scheduler. In sum, we present an efficient method to deterministically parallelize iterative sequential algorithms, with provable runtime guarantees in terms of the number of executed tasks to completion.Comment: PODC 2018, pages 377-386 in proceeding

Enabling HW-based task scheduling in large multicore architectures

Dynamic Task Scheduling is an enticing programming model aiming to ease the development of parallel programs with intrinsically irregular or data-dependent parallelism. The performance of such solutions relies on the ability of the Task Scheduling HW/SW stack to efficiently evaluate dependencies at runtime and schedule work to available cores. Traditional SW-only systems implicate scheduling overheads of around 30K processor cycles per task, which severely limit the ( core count , task granularity ) combinations that they might adequately handle. Previous work on HW-accelerated Task Scheduling has shown that such systems might support high performance scheduling on processors with up to eight cores, but questions remained regarding the viability of such solutions to support the greater number of cores now frequently found in high-end SMP systems. The present work presents an FPGA-proven, tightly-integrated, Linux-capable, 30-core RISC-V system with hardware accelerated Task Scheduling. We use this implementation to show that HW Task Scheduling can still offer competitive performance at such high core count, and describe how this organization includes hardware and software optimizations that make it even more scalable than previous solutions. Finally, we outline ways in which this architecture could be augmented to overcome inter-core communication bottlenecks, mitigating the cache-degradation effects usually involved in the parallelization of highly optimized serial code.This work is supported by the TEXTAROSSA project G.A. n.956831, as part of the EuroHPC initiative, by the Spanish Government (grants PCI2021-121964, TEXTAROSSA; PDC2022-133323-I00, Multi-Ka; PID2019-107255GB-C21 MCIN/AEI/10.13039/501100011033; and CEX2021-001148-S), by Generalitat de Catalunya (2021 SGR 01007), and FAPESP (grant 2019/26702-8).Peer ReviewedPostprint (published version