There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

Summary Background Since December, 2019, Wuhan, China, has experienced an outbreak of coronavirus disease 2019 (COVID-19), caused by the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). Epidemiological and clinical characteristics of patients with COVID-19 have been reported but risk factors for mortality and a detailed clinical course of illness, including viral shedding, have not been well described. Methods In this retrospective, multicentre cohort study, we included all adult inpatients (≥18 years old) with laboratory-confirmed COVID-19 from Jinyintan Hospital and Wuhan Pulmonary Hospital (Wuhan, China) who had been discharged or had died by Jan 31, 2020. Demographic, clinical, treatment, and laboratory data, including serial samples for viral RNA detection, were extracted from electronic medical records and compared between survivors and non-survivors. We used univariable and multivariable logistic regression methods to explore the risk factors associated with in-hospital death. Findings 191 patients (135 from Jinyintan Hospital and 56 from Wuhan Pulmonary Hospital) were included in this study, of whom 137 were discharged and 54 died in hospital. 91 (48%) patients had a comorbidity, with hypertension being the most common (58 [30%] patients), followed by diabetes (36 [19%] patients) and coronary heart disease (15 [8%] patients). Multivariable regression showed increasing odds of in-hospital death associated with older age (odds ratio 1·10, 95% CI 1·03–1·17, per year increase; p=0·0043), higher Sequential Organ Failure Assessment (SOFA) score (5·65, 2·61–12·23; p Interpretation The potential risk factors of older age, high SOFA score, and d-dimer greater than 1 μg/mL could help clinicians to identify patients with poor prognosis at an early stage. Prolonged viral shedding provides the rationale for a strategy of isolation of infected patients and optimal antiviral interventions in the future. Funding Chinese Academy of Medical Sciences Innovation Fund for Medical Sciences; National Science Grant for Distinguished Young Scholars; National Key Research and Development Program of China; The Beijing Science and Technology Project; and Major Projects of National Science and Technology on New Drug Creation and Development.

Clinical course and risk factors for mortality of adult inpatients with COVID-19 in Wuhan, China: a retrospective cohort study

Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature

Hydrodynamic and hydromagnetic stability

The advent of Deep Learning (DL) has radically transformed the computing industry across the entire spectrum from algorithms to circuits. As myriad application domains embrace DL, it has become synonymous with a genre of workloads across vision, speech, language, recommendations, robotics, and games. The key compute kernel within most DL workloads is general matrix-matrix multiplications (GEMMs), which appears frequently during both the forward pass (inference and training) and backward pass (training). GEMMs are a natural choice for hardware acceleration to speed up training, and have led to 2D systolic architectures like NVIDIA tensor cores and Google Tensor Processing Unit (TPU). Unfortunately, emerging GEMMs in DL are highly irregular and sparse, which lead to poor data mappings on systolic architectures. This paper proposes SIGMA, a flexible and scalable architecture that offers high utilization of all its processing elements (PEs) regardless of kernel shape and sparsity. Within SIGMA includes a novel reduction tree microarchitecture named Forwarding Adder Network (FAN). SIGMA performs 5.7x better than systolic array architectures for irregular sparse matrices, and roughly 3x better than state-of-the-art sparse accelerators. We demonstrate an instance of SIGMA operating at 10.8 TFLOPS efficiency across arbitrary levels of sparsity, with a 65.10 mm^2 and 22.33 W footprint on a 28 nm process.

SIGMA: A Sparse and Irregular GEMM Accelerator with Flexible Interconnects for DNN Training

In this paper, the effects of variable thermal conductivity and radiation on the flow and heat transfer of an electrically conducting micropolar fluid over a continuously stretching surface with varying temperature in the presence of a magnetic field are considered. The surface temperature is assumed to vary as a power-law temperature. The governing conservation equations of mass, momentum, angular momentum and energy are converted into a system of non-linear ordinary differential equations by means of similarity transformation. The resulting system of coupled non-linear ordinary differential equations is solved numerically. The numerical results show that the thermal boundary thickness increases as the thermal conductivity parameter S increases, while it decreases as the radiation parameter F increases. Also, it was found that the Nusselt number increases as F increases and decreases as S increases.

Thermal radiation effects on MHD flow of a micropolar fluid over a stretching surface with variable thermal conductivity

MHD flow and heat transfer of a micropolar fluid over a stretching surface with heat generation (absorption) and slip velocity

Weight and activation sparsity can be leveraged in hardware to boost the performance and energy efficiency of Deep Neural Networks during inference. Fully capitalizing on sparsity requires re-scheduling and mapping the execution stream to deliver non-zero weight/activation pairs to multiplier units for maximal utilization and reuse. However, permitting arbitrary value re-scheduling in memory space and in time places a considerable burden on hardware to perform dynamic at-runtime routing and matching of values, and incurs significant energy inefficiencies. Bit-Tactical (TCL) is a neural network accelerator where the responsibility for exploiting weight sparsity is shared between a novel static scheduling middleware, and a co-designed hardware front-end with a lightweight sparse shuffling network comprising two (2- to 8-input) multiplexers per activation input. We empirically motivate two back-end designs chosen to target bit-sparsity in activations, rather than value-sparsity, with two benefits: a) we avoid handling the dynamically sparse whole-value activation stream, and b) we uncover more ineffectual work. TCL outperforms other state-of-the-art accelerators that target sparsity for weights and activations, the dynamic precision requirements of activations, or their bit-level sparsity for a variety of neural networks.

Bit-Tactical: A Software/Hardware Approach to Exploiting Value and Bit Sparsity in Neural Networks

We present a method for transparently identifying ineffectual computations during inference with Deep Learning models. Specifically, by decomposing multiplications down to the bit level, the amount of work needed by multiplications during inference can be potentially reduced by at least 40× across a wide selection of neural networks (8b and 16b). This method produces numerically identical results and does not affect overall accuracy. We present Laconic, a hardware accelerator that implements this approach to boost energy efficiency for inference with Deep Learning Networks. Laconic judiciously gives up some of the work reduction potential to yield a low-cost, simple, and energy efficient design that outperforms other state-of-the-art accelerators: an optimized DaDianNao-like design [13], Eyeriss [15], SCNN [71], Pragmatic [3], and BitFusion [83]. We study 16b, 8b, and 1b/2b fixed-point quantized models.

Laconic deep learning inference acceleration

This article investigates the influence of radiation and temperature-dependent viscosity on the problem of unsteady MHD flow and heat transfer of an electrically conducting fluid past an infinite vertical porous plate taking into account the effect of viscous dissipation. The governing equations are converted into a system of nonlinear ordinary differential equations via a local similarity parameter which is taken as a function of time. The resulting system of coupled nonlinear ordinary differential equations is solved numerically using the fourth order Runge-Kutta integration scheme with the shooting method. The numerical results for the velocity and the temperature are displayed graphically showing the effects of various parameters. The results show that increasing the Eckert number and decreasing the viscosity of air leads to a rise in the velocity, while increasing in the magnetic or the radiation parameters is associated with a decrease in the velocity. Also, an increase in the Eckert number leads to an increase in the temperature, whereas an increase in radiation parameter leads to a decrease in the temperature.

Mostafa Mahmoud

Papers

Thermal radiation effects on MHD flow of a micropolar fluid over a stretching surface with variable thermal conductivity

MHD flow and heat transfer of a micropolar fluid over a stretching surface with heat generation (absorption) and slip velocity

Bit-Tactical: A Software/Hardware Approach to Exploiting Value and Bit Sparsity in Neural Networks

Laconic deep learning inference acceleration

Thermal radiation effect on unsteady MHD free convection flow past a vertical plate with temperature-dependent viscosity