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What Is a Quantum Field Theory?, 2022
The basic goal of quantization for probability distribution is to reduce the number of values, which is typically uncountable, describing a probability distribution to some finite set and thus to make an approximation of a continuous probability ...
Joseph R. Rosenblatt, M. Roychowdhury
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The basic goal of quantization for probability distribution is to reduce the number of values, which is typically uncountable, describing a probability distribution to some finite set and thus to make an approximation of a continuous probability ...
Joseph R. Rosenblatt, M. Roychowdhury
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IEEE Transactions on Information Theory, 1998
Summary: The history of the theory and practice of quantization dates to 1948, although similar ideas had appeared in the literature as long ago as 1898. The fundamental role of quantization in modulation and analog-to-digital conversion was first recognized during the early development of pulse-code modulation systems, especially in the 1948 paper of \
Gray, Robert M., Neuhoff, David L.
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Summary: The history of the theory and practice of quantization dates to 1948, although similar ideas had appeared in the literature as long ago as 1898. The fundamental role of quantization in modulation and analog-to-digital conversion was first recognized during the early development of pulse-code modulation systems, especially in the 1948 paper of \
Gray, Robert M., Neuhoff, David L.
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Quantization Without Quantization
Annals of Physics, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Physical Review Letters, 1991
Summary: We study a rule for quantizing chaos based on the dynamical zeta function defined by a Euler product over the classical periodic orbits as suggested by Gutzwiller's semiclassical trace formula. A test of our approximate quantization formula is carried out for the planar hyperbold billiard, which shows that at least the first 150 quantum energy
Sieber, M., Steiner, F.
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Summary: We study a rule for quantizing chaos based on the dynamical zeta function defined by a Euler product over the classical periodic orbits as suggested by Gutzwiller's semiclassical trace formula. A test of our approximate quantization formula is carried out for the planar hyperbold billiard, which shows that at least the first 150 quantum energy
Sieber, M., Steiner, F.
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KIVI: A Tuning-Free Asymmetric 2bit Quantization for KV Cache
International Conference on Machine LearningEfficiently serving large language models (LLMs) requires batching of many requests to reduce the cost per request. Yet, with larger batch sizes and longer context lengths, the key-value (KV) cache, which stores attention keys and values to avoid re ...
Zirui Liu +7 more
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KVQuant: Towards 10 Million Context Length LLM Inference with KV Cache Quantization
Neural Information Processing SystemsLLMs are seeing growing use for applications which require large context windows, and with these large context windows KV cache activations surface as the dominant contributor to memory consumption during inference.
Coleman Hooper +6 more
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, 1992
This is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems.
M. Henneaux, C. Teitelboim
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This is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems.
M. Henneaux, C. Teitelboim
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SpinQuant: LLM quantization with learned rotations
International Conference on Learning RepresentationsPost-training quantization (PTQ) techniques applied to weights, activations, and the KV cache greatly reduce memory usage, latency, and power consumption of Large Language Models (LLMs), but may lead to large quantization errors when outliers are present.
Zechun Liu +8 more
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Proceedings. 1991 IEEE International Symposium on Information Theory, 1993
A theory of overall quantization noise for nonsubtractive dither was originally developed in unpublished work by J.N. Wright and by T.J. Stockham and subsequently expanded by L.K. Brinton, S.P. Lipshitz, J. Vanderkooy, and R.A. Wannamaker. It is suggested that since these latter results are not as well known as the original results, misunderstanding ...
Robert M. Gray, T.G. Stockham
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A theory of overall quantization noise for nonsubtractive dither was originally developed in unpublished work by J.N. Wright and by T.J. Stockham and subsequently expanded by L.K. Brinton, S.P. Lipshitz, J. Vanderkooy, and R.A. Wannamaker. It is suggested that since these latter results are not as well known as the original results, misunderstanding ...
Robert M. Gray, T.G. Stockham
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Mathematics of the USSR-Izvestiya, 1974
Summary: In this article we propose a general definition for the quantization of classical mechanics with an arbitrary phase space. We consider the case where the phase space is a complex Kählerian manifold. As an example we consider uniform bounded regions in \(\mathbb C^n\) with a Bergman metric, and also the two-dimensional cylinder and torus.
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Summary: In this article we propose a general definition for the quantization of classical mechanics with an arbitrary phase space. We consider the case where the phase space is a complex Kählerian manifold. As an example we consider uniform bounded regions in \(\mathbb C^n\) with a Bergman metric, and also the two-dimensional cylinder and torus.
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