GPUにおける拡張精度浮動小数点演算を用いた線形計算の研究

筑波大学 (University of Tsukuba)201

Successful Treatment with Denosumab of a Giant Cell Tumor of Bone in the Iliac Bone of an 84-Year-Old Man

We report a case of GCTB in an 84-year-old Japanese man who had a tumor in his left iliac bone and was treated safely with denosumab. The patient noticed a painful mass, with gradual enlargement, in his left low back next to the iliac region. Magnetic resonance imaging revealed that the tumor measured 94 × 66 × 90 mm and was located in the left iliac bone. Histologically, the tumor was composed of proliferative oval-shaped mononuclear cells, admixed with large number of osteoclast-like giant cells. Immunohistochemically, a strong positivity for histone 3.3 G34W mutant protein was observed in the nuclei of the mononuclear cells, confirming the diagnosis of GCTB. Because it was considered as unresectable tumor, the patient was treated with denosumab without any side effects

White Paper from Workshop on Large-scale Parallel Numerical Computing Technology (LSPANC 2020): HPC and Computer Arithmetic toward Minimal-Precision Computing

In numerical computations, precision of floating-point computations is a key factor to determine the performance (speed and energy-efficiency) as well as the reliability (accuracy and reproducibility). However, precision generally plays a contrary role for both. Therefore, the ultimate concept for maximizing both at the same time is the minimal-precision computing through precision-tuning, which adjusts the optimal precision for each operation and data. Several studies have been already conducted for it so far (e.g. Precimoniuos and Verrou), but the scope of those studies is limited to the precision-tuning alone. Hence, we aim to propose a broader concept of the minimal-precision computing system with precision-tuning, involving both hardware and software stack. In 2019, we have started the Minimal-Precision Computing project to propose a more broad concept of the minimal-precision computing system with precision-tuning, involving both hardware and software stack. Specifically, our system combines (1) a precision-tuning method based on Discrete Stochastic Arithmetic (DSA), (2) arbitrary-precision arithmetic libraries, (3) fast and accurate numerical libraries, and (4) Field-Programmable Gate Array (FPGA) with High-Level Synthesis (HLS). In this white paper, we aim to provide an overview of various technologies related to minimal- and mixed-precision, to outline the future direction of the project, as well as to discuss current challenges together with our project members and guest speakers at the LSPANC 2020 workshop; https://www.r-ccs.riken.jp/labs/lpnctrt/lspanc2020jan/

Performance Evaluation of Adaptive-Precision SpMV with Reduced-Precision Formats

This study explores the potential for performance improvement in the adaptive-precision sparse matrix-vector product (SpMV) (Graillat et al. 2023) by using reduced-precision formats other than the IEEE standard ones. In addition to FP32 and FP64, we consider to utilize reduced-precision formats of 8/16/24/40/48/56-bit length. Our evaluation compares the performance of four- and nine-precision versions with that of the existing two-precision only version using FP32 and FP64 and demonstrates the effectiveness

Numerical Reproducibility based on Minimal-Precision Validation

International audienceWe proposed a new concept of weak numerical reproducibilityand a systematic approach for it with a support of minimal-precisiontuning and validation. We expect that the concept of weak numericalreproducibility covers most of the demands for reproducibility incomputational sciences. Besides, the minimal-precision computingsystem can address the demands for accuracy, high-performance, andenergy efficient computation as well; ultimately, if it has been realizedwith new hardware like FPGAs. Although the proposed system is stillin development, some of key components are already available, andmany of them have been developed by us

Remedies for Reproducibility Issue in Conjugate Gradient Solvers

International audienc

Minimal-Precision Computing for High-Performance, Energy-Efficient, and Reliable Computations

International audienceWe propose a new systematic approach for minimal-precisioncomputations. This approach is reliable, general, comprehensive,high-performance, and realistic. Although the proposed systemis still in development, this presentation shows that the systemcould be constructed by combining already available (developed)in-house technologies as well as extending them