The optimistic concurrency control (OCC) utilized by in-memory databases performs writes on thread-local copies and makes the writes visible upon passing validation. However, high contention workloads suffer from failure of the validation step due to non-semantic memory access conflicts, leading to frequent transaction aborts. In this work, we improve the commit rate of in-memory databases by replacing OCC and the underlying indexing of key-value entries in the Silo database with a lock-free transactional dictionary. To further optimize the transactional commit rate, we present transactional merging, a technique that relaxes the semantic conflict resolution of transactional data structures by merging conflicting operations to reduce aborts. Transactional merging guarantees strict serializability through a strategy that recovers the correct abstract state given that a transaction attempting to merge operations aborts. The experimental evaluation demonstrates that the lock-free transactional dictionary with transactional merging achieves an average speedup of 175% over OCC and the Masstree indexing used in the Silo database for write-dominated workloads on a non-uniform memory access system.

We address the problem of optimizing sparse tensor algebra in a compiler and show how to define standard loop transformations---split, collapse, and reorder---on sparse iteration spaces. The key idea is to track the transformation functions that map the original iteration space to derived iteration spaces. These functions are needed by the code generator to emit code that maps coordinates between iteration spaces at runtime, since the coordinates in the sparse data structures remain in the original iteration space. We further demonstrate that derived iteration spaces can tile both the universe of coordinates and the subset of nonzero coordinates: the former is analogous to tiling dense iteration spaces, while the latter tiles sparse iteration spaces into statically load-balanced blocks of nonzeros. Tiling the space of nonzeros lets the generated code efficiently exploit heterogeneous compute resources such as threads, vector units, and GPUs. We implement these concepts by extending the sparse iteration theory implementation in the TACO system. The associated scheduling API can be used by performance engineers or it can be the target of an automatic scheduling system. We outline one heuristic autoscheduling system, but other systems are possible. Using the scheduling API, we show how to optimize mixed sparse-dense tensor algebra expressions on CPUs and GPUs. Our results show that the sparse transformations are sufficient to generate code with competitive performance to hand-optimized implementations from the literature, while generalizing to all of the tensor algebra.

Compared to threads, tasks are a more fine-grained alternative. The task parallel programming model offers benefits in terms of better performance portability and better load-balancing for problems that exhibit nonuniform workloads. A common scenario of task parallel programming is that a task is recursively decomposed into smaller sub-tasks. Depending on the problem domain, the number of created sub-tasks may be nonuniform, thereby creating potential for significant load imbalances in the system. Dynamic load-balancing mechanisms will distribute the tasks across available threads. The final result of a computation may be modeled as a reduction over the results of all sub-tasks. This article describes a simple, yet effective prototype framework, Blaze-Tasks, for task scheduling and task reductions on shared memory architectures. The framework has been designed with lock-free techniques and generic programming principles in mind. Blaze-Tasks is implemented entirely in C++17 and is thus portable. To load-balance the computation, Blaze-Tasks uses task stealing. To manage contention on a task pool, the number of lock-free attempts to steal a task depends on the distance between thief and pool owner and the estimated number of tasks in a victim’s pool. This article evaluates the Blaze framework on Intel and IBM dual-socket systems using nine benchmarks and compares its performance with other task parallel frameworks. While Cilk outperforms Blaze on Intel on most benchmarks, the evaluation shows that Blaze is competitive with OpenMP and other library-based implementations. On IBM, the experiments show that Blaze outperforms other approaches on most benchmarks.