Scaling Monte Carlo Tree Search on Intel Xeon Phi

Many algorithms have been parallelized successfully on the Intel Xeon Phi coprocessor, especially those with regular, balanced, and predictable data access patterns and instruction flows. Irregular and unbalanced algorithms are harder to parallelize efficiently. They are, for instance, present in artificial intelligence search algorithms such as Monte Carlo Tree Search (MCTS). In this paper we study the scaling behavior of MCTS, on a highly optimized real-world application, on real hardware. The Intel Xeon Phi allows shared memory scaling studies up to 61 cores and 244 hardware threads. We compare work-stealing (Cilk Plus and TBB) and work-sharing (FIFO scheduling) approaches. Interestingly, we find that a straightforward thread pool with a work-sharing FIFO queue shows the best performance. A crucial element for this high performance is the controlling of the grain size, an approach that we call Grain Size Controlled Parallel MCTS. Our subsequent comparing with the Xeon CPUs shows an even more comprehensible distinction in performance between different threading libraries. We achieve, to the best of our knowledge, the fastest implementation of a parallel MCTS on the 61 core Intel Xeon Phi using a real application (47 relative to a sequential run).Comment: 8 pages, 9 figure

Galactos: Computing the Anisotropic 3-Point Correlation Function for 2 Billion Galaxies

The nature of dark energy and the complete theory of gravity are two central questions currently facing cosmology. A vital tool for addressing them is the 3-point correlation function (3PCF), which probes deviations from a spatially random distribution of galaxies. However, the 3PCF's formidable computational expense has prevented its application to astronomical surveys comprising millions to billions of galaxies. We present Galactos, a high-performance implementation of a novel, O(N^2) algorithm that uses a load-balanced k-d tree and spherical harmonic expansions to compute the anisotropic 3PCF. Our implementation is optimized for the Intel Xeon Phi architecture, exploiting SIMD parallelism, instruction and thread concurrency, and significant L1 and L2 cache reuse, reaching 39% of peak performance on a single node. Galactos scales to the full Cori system, achieving 9.8PF (peak) and 5.06PF (sustained) across 9636 nodes, making the 3PCF easily computable for all galaxies in the observable universe.Comment: 11 pages, 7 figures, accepted to SuperComputing 201

Computing for Perturbative QCD - A Snowmass White Paper

We present a study on high-performance computing and large-scale distributed computing for perturbative QCD calculations.Comment: 21 pages, 5 table

Structured parallel programming for Monte Carlo Tree Search

The thesis is part of a bigger project, the HEPGAME (High Energy Physics Game). The main objective for HEPGAME is the utilization of AI solutions, particularly by using MCTS for simplification of HEP calculations. One of the issues is solving mathematical expressions of interest with millions of terms. These calculations can be solved with the FORM program, which is software for symbolic manipulation. Since these calculations are computationally intensive and take a large amount of time, the FORM program was parallelized to solve them in a reasonable amount of time.Therefore, any new algorithm based on MCTS, should also be parallelized. This requirement was behind the problem statement of the thesis: “How do we design a structured pattern-based parallel programming approach for efficient parallelism of MCTS for both multi-core and manycore shared-memory machines?”.To answer this question, the thesis approached the MCTS parallelization problem in three levels: (1) implementation level, (2) data structure level, and (3) algorithm level.In the implementation level, we proposed task-level parallelization over thread-level parallelization. Task-level parallelization provides us with efficient parallelism for MCTS to utilize cores on both multi-core and manycore machines.In the data structure level, we presented a lock-free data structure that guarantees the correctness. A lock-free data structure (1) removes the synchronization overhead when a parallel program needs many tasks to feed its cores and (2) improves both performance and scalability.In the algorithm level, we first explained how to use pipeline pattern for parallelization of MCTS to overcome search overhead. Then, through a step by step approach, we were able to propose and detail the structured parallel programming approach for Monte Carlo Tree Search.Algorithms and the Foundations of Software technolog

Study of Condensed Matter Systems with Monte Carlo Simulation on Heterogeneous Computing Systems

We study the Edwards-Anderson model on a simple cubic lattice with a finite constant external field. We employ an indicator composed of a ratio of susceptibilities at finite momenta, which was recently proposed to avoid the difficulties of a zero momentum quantity, for capturing the spin glass phase transition. Unfortunately, this new indicator is fairly noisy, so a large pool of samples at low temperature and small external field are needed to generate results with a sufficiently small statistical error for analysis. We thus implement the Monte Carlo method using graphics processing units to drastically speed up the simulation. We confirm previous findings that conventional indicators for the spin glass transition, including the Binder ratio and the correlation length do not show any indication of a transition for rather low temperatures. However, the ratio of spin glass susceptibilities does show crossing behavior, albeit a systematic analysis is beyond the reach of the present data. This reveals the difficulty with current numerical methods and computing capability in studying this problem. One of the fundamental challenges of theoretical condensed matter physics is the accurate solution of quantum impurity models. By taking expansion in the hybridization about an exactly solved local limit, one can formulate a quantum impurity solver. We implement the hybridization expansion quantum impurity solver on Intel Xeon Phi accelerators, and aim to apply this approach on the Dynamic Hubbard Models

Optimization of high-throughput real-time processes in physics reconstruction

La presente tesis se ha desarrollado en colaboración entre la Universidad de Sevilla y la Organización Europea para la Investigación Nuclear, CERN. El detector LHCb es uno de los cuatro grandes detectores situados en el Gran Colisionador de Hadrones, LHC. En LHCb, se colisionan partículas a altas energías para comprender la diferencia existente entre la materia y la antimateria. Debido a la cantidad ingente de datos generada por el detector, es necesario realizar un filtrado de datos en tiempo real, fundamentado en los conocimientos actuales recogidos en el Modelo Estándar de física de partículas. El filtrado, también conocido como High Level Trigger, deberá procesar un throughput de 40 Tb/s de datos, y realizar un filtrado de aproximadamente 1 000:1, reduciendo el throughput a unos 40 Gb/s de salida, que se almacenan para posterior análisis. El proceso del High Level Trigger se subdivide a su vez en dos etapas: High Level Trigger 1 (HLT1) y High Level Trigger 2 (HLT2). El HLT1 transcurre en tiempo real, y realiza una reducción de datos de aproximadamente 30:1. El HLT1 consiste en una serie de procesos software que reconstruyen lo que ha sucedido en la colisión de partículas. En la reconstrucción del HLT1 únicamente se analizan las trayectorias de las partículas producidas fruto de la colisión, en un problema conocido como reconstrucción de trazas, para dictaminar el interés de las colisiones. Por contra, el proceso HLT2 es más fino, requiriendo más tiempo en realizarse y reconstruyendo todos los subdetectores que componen LHCb. Hacia 2020, el detector LHCb, así como todos los componentes del sistema de adquisici´on de datos, serán actualizados acorde a los últimos desarrollos técnicos. Como parte del sistema de adquisición de datos, los servidores que procesan HLT1 y HLT2 también sufrirán una actualización. Al mismo tiempo, el acelerador LHC será también actualizado, de manera que la cantidad de datos generada en cada cruce de grupo de partículas aumentare en aproxidamente 5 veces la actual. Debido a las actualizaciones tanto del acelerador como del detector, se prevé que la cantidad de datos que deberá procesar el HLT en su totalidad sea unas 40 veces mayor a la actual. La previsión de la escalabilidad del software actual a 2020 subestim´ó los recursos necesarios para hacer frente al incremento en throughput. Esto produjo que se pusiera en marcha un estudio de todos los algoritmos tanto del HLT1 como del HLT2, así como una actualización del código a nuevos estándares, para mejorar su rendimiento y ser capaz de procesar la cantidad de datos esperada. En esta tesis, se exploran varios algoritmos de la reconstrucción de LHCb. El problema de reconstrucción de trazas se analiza en profundidad y se proponen nuevos algoritmos para su resolución. Ya que los problemas analizados exhiben un paralelismo masivo, estos algoritmos se implementan en lenguajes especializados para tarjetas gráficas modernas (GPUs), dada su arquitectura inherentemente paralela. En este trabajo se dise ˜nan dos algoritmos de reconstrucción de trazas. Además, se diseñan adicionalmente cuatro algoritmos de decodificación y un algoritmo de clustering, problemas también encontrados en el HLT1. Por otra parte, se diseña un algoritmo para el filtrado de Kalman, que puede ser utilizado en ambas etapas. Los algoritmos desarrollados cumplen con los requisitos esperados por la colaboración LHCb para el año 2020. Para poder ejecutar los algoritmos eficientemente en tarjetas gráficas, se desarrolla un framework especializado para GPUs, que permite la ejecución paralela de secuencias de reconstrucción en GPUs. Combinando los algoritmos desarrollados con el framework, se completa una secuencia de ejecución que asienta las bases para un HLT1 ejecutable en GPU. Durante la investigación llevada a cabo en esta tesis, y gracias a los desarrollos arriba mencionados y a la colaboración de un pequeño equipo de personas coordinado por el autor, se completa un HLT1 ejecutable en GPUs. El rendimiento obtenido en GPUs, producto de esta tesis, permite hacer frente al reto de ejecutar una secuencia de reconstrucción en tiempo real, bajo las condiciones actualizadas de LHCb previstas para 2020. As´ı mismo, se completa por primera vez para cualquier experimento del LHC un High Level Trigger que se ejecuta únicamente en GPUs. Finalmente, se detallan varias posibles configuraciones para incluir tarjetas gr´aficas en el sistema de adquisición de datos de LHCb.The current thesis has been developed in collaboration between Universidad de Sevilla and the European Organization for Nuclear Research, CERN. The LHCb detector is one of four big detectors placed alongside the Large Hadron Collider, LHC. In LHCb, particles are collided at high energies in order to understand the difference between matter and antimatter. Due to the massive quantity of data generated by the detector, it is necessary to filter data in real-time. The filtering, also known as High Level Trigger, processes a throughput of 40 Tb/s of data and performs a selection of approximately 1 000:1. The throughput is thus reduced to roughly 40 Gb/s of data output, which is then stored for posterior analysis. The High Level Trigger process is subdivided into two stages: High Level Trigger 1 (HLT1) and High Level Trigger 2 (HLT2). HLT1 occurs in real-time, and yields a reduction of data of approximately 30:1. HLT1 consists in a series of software processes that reconstruct particle collisions. The HLT1 reconstruction only analyzes the trajectories of particles produced at the collision, solving a problem known as track reconstruction, that determines whether the collision data is kept or discarded. In contrast, HLT2 is a finer process, which requires more time to execute and reconstructs all subdetectors composing LHCb. Towards 2020, the LHCb detector and all the components composing the data acquisition system will be upgraded. As part of the data acquisition system, the servers that process HLT1 and HLT2 will also be upgraded. In addition, the LHC accelerator will also be updated, increasing the data generated in every bunch crossing by roughly 5 times. Due to the accelerator and detector upgrades, the amount of data that the HLT will require to process is expected to increase by 40 times. The foreseen scalability of the software through 2020 underestimated the required resources to face the increase in data throughput. As a consequence, studies of all algorithms composing HLT1 and HLT2 and code modernizations were carried out, in order to obtain a better performance and increase the processing capability of the foreseen hardware resources in the upgrade. In this thesis, several algorithms of the LHCb recontruction are explored. The track reconstruction problem is analyzed in depth, and new algorithms are proposed. Since the analyzed problems are massively parallel, these algorithms are implemented in specialized languages for modern graphics cards (GPUs), due to their inherently parallel architecture. From this work stem two algorithm designs. Furthermore, four additional decoding algorithms and a clustering algorithms have been designed and implemented, which are also part of HLT1. Apart from that, an parallel Kalman filter algorithm has been designed and implemented, which can be used in both HLT stages. The developed algorithms satisfy the requirements of the LHCb collaboration for the LHCb upgrade. In order to execute the algorithms efficiently on GPUs, a software framework specialized for GPUs is developed, which allows executing GPU reconstruction sequences in parallel. Combining the developed algorithms with the framework, an execution sequence is completed as the foundations of a GPU HLT1. During the research carried out in this thesis, the aforementioned developments and a small group of collaborators coordinated by the author lead to the completion of a full GPU HLT1 sequence. The performance obtained on GPUs allows executing a reconstruction sequence in real-time, under LHCb upgrade conditions. The developed GPU HLT1 constitutes the first GPU high level trigger ever developed for an LHC experiment. Finally, various possible realizations of the GPU HLT1 to integrate in a production GPU-equipped data acquisition system are detailed