Scaling up and down of 3-D floating-point data in quantum computation [PDF]
Scientific Reports, 2022 In the past few decades, quantum computation has become increasingly attractive due to its remarkable performance. Quantum image scaling is considered a common geometric transformation in quantum image processing, however, the quantum floating-point data
Meiyu Xu, Dayong Lu, Xiaoyun Sun
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The impact of the proposed standard for floating point arithmetic on languages and systems [PDF]
IEEE Computer Graphics and Applications, 1979 The author discusses IEEE floating point representation that stores numbers in what amounts to scientific notation. He considers the sign bit, the logarithm function, function approximations, errors and refinements.
Stuart I. Feldman
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NULL Convention Floating Point Multiplier [PDF]
The Scientific World Journal, 2015 Floating point multiplication is a critical part in high dynamic range and computational intensive digital signal processing applications which require high precision and low power.
Anitha Juliette Albert +1 more
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Efficient Generation of Error-Inducing Floating-Point Inputs via Symbolic Execution [PDF]
International Conference on Software Engineering, 2020 Floating point is widely used in software to emulate arithmetic over reals. Unfortunately, floating point leads to rounding errors that propagate and accumulate during execution.
Hui Guo, Cindy Rubio-González
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Hybrid Precision Floating-Point (HPFP) Selection to Optimize Hardware-Constrained Accelerator for CNN Training [PDF]
SensorsThe rapid advancement in AI requires efficient accelerators for training on edge devices, which often face challenges related to the high hardware costs of floating-point arithmetic operations.
Muhammad Junaid +5 more
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Floating point representations in quantum circuit synthesis
New Journal of Physics, 2013 We provide a non-deterministic quantum protocol that approximates the single qubit rotations R _x (2 ϕ ^2 _1 ϕ ^2 _2 ) using R _x (2 ϕ _1 ) and R _x (2 ϕ _2 ) and a constant number of Clifford and T operations.
Nathan Wiebe, Vadym Kliuchnikov
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Detecting floating-point errors via atomic conditions [PDF]
Proc. ACM Program. Lang., 2019 This paper tackles the important, difficult problem of detecting program inputs that trigger large floating-point errors in numerical code. It introduces a novel, principled dynamic analysis that leverages the mathematically rigorously analyzed condition
Daming Zou +5 more
semanticscholar +3 more sources
Logic Design and Power Optimization of Floating-Point Multipliers. [PDF]
Comput Intell Neurosci, 2022 Bai N, Li H, Lv J, Yang S, Xu Y.
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LLM-FP4: 4-Bit Floating-Point Quantized Transformers [PDF]
Conference on Empirical Methods in Natural Language Processing, 2023 We propose LLM-FP4 for quantizing both weights and activations in large language models (LLMs) down to 4-bit floating-point values, in a post-training manner.
Shih-Yang Liu +4 more
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FAST: DNN Training Under Variable Precision Block Floating Point with Stochastic Rounding [PDF]
International Symposium on High-Performance Computer Architecture, 2021 Block Floating Point (BFP) can efficiently support quantization for Deep Neural Network (DNN) training by providing a wide dynamic range via a shared exponent across a group of values.
S. Zhang, Bradley McDanel, H. Kung
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