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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,786 papers · 148 categories

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70141211281 · Jun 202019922001200920172026
48 results for Hamming weight compression

NESTA accelerates neural networks by compressing Hamming weights.

problem Efficiently computing convolution layers in deep neural networks.
method NESTA reformats convolutions into 3imes33 imes 3 batches and uses Hamming Weight Compressors to process each batch, approximating partial sums and adding residuals.
result Significantly speeds up convolution computations with reduced energy consumption.

In this paper, we present a novel approach for fine-tuning a decoder-side neural network in the context of image compression, such that the weight-updates are better compressible. At encoder side, we fine-tune a pre-trained artifact removal network on target data by using a compression objective applied on the weight-u…

2019-05-10abs ↗pdf ↗

Model compression has been introduced to reduce the required hardware resources while maintaining the model accuracy. Lots of techniques for model compression, such as pruning, quantization, and low-rank approximation, have been suggested along with different inference implementation characteristics. Adopting model com…

2018-10-30abs ↗pdf ↗

In this paper we apply a compressibility loss that enables learning highly compressible neural network weights. The loss was previously proposed as a measure of negated sparsity of a signal, yet in this paper we show that minimizing this loss also enforces the non-zero parts of the signal to have very low entropy, thus…

2019-05-03abs ↗pdf ↗

Kernel Quantization improves CNN compression without sacrificing performance.

problem Efficiently compressing CNN models without significant performance loss.
method Quantizes convolution kernels as the unit, learning a codebook for low-bit indexes.
result Significant compression ratio achieved with minimal accuracy loss.

This work compresses heavy-tailed weight matrices for tighter generalization bounds.

problem Empirical evidence linking heavy-tailed weight matrices to test set accuracy but lack of formal relationship with generalization bounds.
method Utilized the compression framework to show that heavy-tailed matrices can be compressed, resulting in sparse weight matrices.
result Demonstrated a non-vacuous generalization bound for compressed networks with heavy-tailed weight matrices.

We prove that π1(Ham(M))π_1(\text{Ham}(M)) contains an infinite cyclic subgroup, where Ham(M)\text{Ham}(M) is the Hamiltonian group of the one point blow up of CP3{\Bbb C}P^3. We give a sufficient condition for the group π1(Ham(M))π_1(\text{Ham}(M)) to contain an infinite cyclic subgroup, when MM is a general toric manifold.

2005-06-09abs ↗pdf ↗

We verify here some variants of topological and dynamical flavor of the injectivity radius conjecture in Hofer geometry, Lalonde-Savelyev \cite{citeLalondeSavelyevOntheinjectivityradiusinHofergeometry} in the case of Ham(S2)Ham (S^2) and Ham(Σ,ω)Ham(Σ, ω), for ΣΣ a closed positive genus surface. In particular we show that any lo…

2015-01-12abs ↗pdf ↗

Weight Squeezing transfers knowledge from large models to smaller ones, improving performance and speed.

problem Transfer learning and model compression for faster and more efficient training.
method Reparameterization of weights from a large model to a smaller one.
result Weight Squeezing outperforms other methods on GLUE benchmark with faster training.

The success of deep learning in numerous application domains created the de- sire to run and train them on mobile devices. This however, conflicts with their computationally, memory and energy intense nature, leading to a growing interest in compression. Recent work by Han et al. (2015a) propose a pipeline that involve…

2017-02-13abs ↗pdf ↗

We compress large neural networks for quick adaptation to specific contexts.

problem How to quickly adapt a pretrained large neural network to specific contexts.
method Propose a Bayesian hypernetwork framework to compress the network and encourage sparsity.
result Generated compressed networks are significantly smaller than baseline methods.

The large memory requirements of deep neural networks limit their deployment and adoption on many devices. Model compression methods effectively reduce the memory requirements of these models, usually through applying transformations such as weight pruning or quantization. In this paper, we present a novel scheme for l…

2017-11-13abs ↗pdf ↗

This paper investigates compression techniques for deep neural networks to reduce their size without sacrificing performance.

problem Compression of large deep neural networks for resource-limited platforms.
method Weight pruning, quantization, and lossless weight matrix representations based on source coding.
result Achieved up to 165 times compression rate while maintaining or improving model performance.

Let SS be a compact oriented surface. We construct homogeneous quasimorphisms on Diff(S,area)Diff(S, area), on Diff0(S,area)Diff_0(S, area) and on Ham(S)Ham(S) generalizing the constructions of Gambaudo-Ghys and Polterovich. We prove that there are infinitely many linearly independent homogeneous quasimorphisms on Diff(S,area)Diff(S, area), on $Diff_0(…

2017-07-19abs ↗pdf ↗

DP-Net uses dynamic programming for efficient deep neural network compression.

problem Efficiently compressing deep neural networks while maintaining accuracy.
method Dynamic Programming for optimal weight quantization and clustering-friendly training.
result Achieves up to 77X compression ratio on Wide ResNet with minimal accuracy loss.

We present a lower bound for a fragmentation norm and construct a bi-Lipschitz embedding I ⁣:RnHam(M)I\colon \mathbb{R}^n\to\mathrm{Ham}(M) with respect to the fragmentation norm on the group Ham(M)\mathrm{Ham}(M) of Hamiltonian diffeomorphisms of a symplectic manifold (M,ω)(M,ω). As an application, we provide an answer to Brandenbursk…

2019-01-07abs ↗pdf ↗

This paper studies how to compress neural networks while maintaining accuracy.

problem Compressing a two-layer neural network with fewer nodes without losing accuracy.
method Using tools from high-dimensional probability, the authors minimize the L_2 loss between the target and compressed networks.
result The error rate of the approximation is shown as a function of input dimension and network size in the mean-field limit.

We extend quantization-aware training to extreme model compression.

problem Maximizing model accuracy with minimal model size.
method Quantize a random subset of weights during training, allowing unbiased gradients through other weights.
result Established new state-of-the-art compromises between accuracy and model size.

Vectors of data are at the heart of machine learning and data mining. Recently, vector quantization methods have shown great promise in reducing both the time and space costs of operating on vectors. We introduce a vector quantization algorithm that can compress vectors over 12x faster than existing techniques while al…

2017-06-30abs ↗pdf ↗

Bayesian neural networks are compressed using feature and weight pruning based on posterior inclusion probabilities.

problem Efficiently compressing Bayesian neural networks to reduce computation cost and improve generalizability.
method Bayesian model selection principles are applied to obtain posterior inclusion probabilities for pruning and feature selection.
result Pruned models show better generalizability on simulated and real-world data.

This paper proposes a new method for efficient data compression using Bayesian neural networks.

problem Efficient compression of data represented as functions mapping coordinates to signal values.
method Overfitting variational Bayesian neural networks to the data and compressing an approximate posterior weight sample using relative entropy coding.
result Our method achieves strong performance on image and audio compression while retaining simplicity.

We describe a simple and general neural network weight compression approach, in which the network parameters (weights and biases) are represented in a "latent" space, amounting to a reparameterization. This space is equipped with a learned probability model, which is used to impose an entropy penalty on the parameter r…

2019-06-15abs ↗pdf ↗

Theoretical framework for neural network compression using sparsity norms.

problem Understanding and quantifying compressibility and accuracy trade-offs in neural networks.
method Using sparsity-sensitive ℓ_q-norm to characterize compressibility and developing adaptive pruning algorithms.
result Theoretical relationship between network sparsity and compressibility with controlled accuracy degradation.

This paper finds a new way to compress CNN weights, improving on pruning and quantization.

problem Improving performance and storage efficiency of CNNs.
method Identifying and exploiting repeated patterns in CNN weight tensors, using Huffman coding and block sparse matrix formats.
result Achieved compaction ratios of 1.4x to 3.1x in addition to pruning and quantization.

IMPACT optimizes LLM compression by focusing on activation importance, reducing model size up to 55.4%.

problem Resource constraints in deploying large language models (LLMs).
method IMPACT integrates activation importance into low-rank compression, optimizing for both size and accuracy.
result IMPACT achieves up to 55.4% greater model size reduction while maintaining comparable or better accuracy.

New STH distance finds patterns in event timeseries without resampling.

problem Lack of efficient analysis methods for event and state timeseries.
method Define STE-ts, propose STH, leveraging both time and state duration.
result Improved precision and computation time compared to resampled metrics.

Three new efficient algorithms project vectors onto weighted l1 ball.

problem Sparse system identification and feature selection.
method Projected gradient descent algorithms with linear or highly competitive quadratic worst case complexities.
result Efficient tools for machine learning methods like compress sensing and feature selection.