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We consider the compilation of a binary neural network's decision function into tractable representations such as Ordered Binary Decision Diagrams (OBDDs) and Sentential Decision Diagrams (SDDs). Obtaining this function as an OBDD/SDD…

机器学习 · 计算机科学 2020-07-06 Weijia Shi , Andy Shih , Adnan Darwiche , Arthur Choi

For the verification of systems using model-checking techniques, symbolic representations based on binary decision diagrams (BDDs) often help to tackle the well-known state-space explosion problem. Symbolic BDD-based representations have…

计算机科学中的逻辑 · 计算机科学 2020-04-29 Clemens Dubslaff , Andrey Morozov , Christel Baier , Klaus Janschek

A binary string of length $2^k$ induces the Boolean function of $k$ variables whose Shannon expansion is the given binary string. This Boolean function then is representable via a unique reduced ordered binary decision diagram (ROBDD). The…

信息论 · 计算机科学 2011-11-08 J. Kieffer , P. Flajolet , E. -h. Yang

The growing interest in explainable artificial intelligence (XAI) for critical decision making motivates the need for interpretable machine learning (ML) models. In fact, due to their structure (especially with small sizes), these models…

人工智能 · 计算机科学 2022-03-23 Hao Hu , Marie-José Huguet , Mohamed Siala

Recent trends show recognition accuracy increasing even more profoundly. Inference process of Deep Convolutional Neural Networks (DCNN) has a large number of parameters, requires a large amount of computation, and can be very slow. The…

计算机视觉与模式识别 · 计算机科学 2017-09-15 Ryuji Kamiya , Takayoshi Yamashita , Mitsuru Ambai , Ikuro Sato , Yuji Yamauchi , Hironobu Fujiyoshi

This paper presents RevOrder, a novel technique aimed at improving arithmetic operations in large language models (LLMs) by reversing the output digits in addition, subtraction, and n-digit by 1-digit (nD by 1D) multiplication tasks. Our…

人工智能 · 计算机科学 2024-02-27 Si Shen , Peijun Shen , Danhao Zhu

Gradient Boosted Decision Trees (GBDTs) are dominant machine learning algorithms for modeling discrete or tabular data. Unlike neural networks with millions of trainable parameters, GBDTs optimize loss function in an additive manner and…

机器学习 · 计算机科学 2022-11-22 Jean Pachebat , Sergei Ivanov

We propose a novel soft-aided iterative decoding algorithm for product codes (PCs). The proposed algorithm, named iterative bounded distance decoding with combined reliability (iBDD-CR), enhances the conventional iterative bounded distance…

信息论 · 计算机科学 2021-09-08 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva , Alex Alvarado

Recovering the digital input of a time-discrete linear system from its (noisy) output is a significant challenge in the fields of data transmission, deconvolution, channel equalization, and inverse modeling. A variety of algorithms have…

最优化与控制 · 数学 2020-12-03 Sophie M. Fosson

Compared to classical deep neural networks its binarized versions can be useful for applications on resource-limited devices due to their reduction in memory consumption and computational demands. In this work we study deep neural networks…

最优化与控制 · 数学 2021-10-26 Jannis Kurtz , Bubacarr Bah

An ordered binary decision diagram (OBDD) is a directed acyclic graph that represents a Boolean function. OBDDs are also known as special cases of oblivious read-once branching programs in the field of complexity theory. Since OBDDs have…

量子物理 · 物理学 2025-05-19 Seiichiro Tani

In this paper we introduce a binary search algorithm that efficiently finds initial maximum likelihood estimates for sequential experiments where a binary response is modeled by a continuous factor. The problem is motivated by switching…

统计理论 · 数学 2008-08-27 Juha Karvanen

In this paper, we investigate a large-scale stochastic system with bilinear drift and linear diffusion term. Such high dimensional systems appear for example when discretizing a stochastic partial differential equations in space. We study a…

最优化与控制 · 数学 2018-04-06 Martin Redmann

Quantum computing is a hotspot technology for its potential to accelerate specific applications by exploiting quantum parallelism. However, current physical quantum computers are limited to a relatively small scale, simulators based on…

量子物理 · 物理学 2022-11-15 Jingcheng Shen , Linbo Long , Masao Okita , Fumihiko Ino

A prescription to calculate the minimum number of bits needed for binary strip detector readout is presented. This permits a systematic analysis of the readout efficiency relative to this theoretical minimum number of bits. Different level…

仪器与探测器 · 物理学 2015-06-17 Maurice Garcia-Sciveres , Xinkang Wang

In the search for highly efficient decoders for short LDPC codes approaching maximum likelihood performance, a relayed decoding strategy, specifically activating the ordered statistics decoding process upon failure of a neural min-sum…

信息论 · 计算机科学 2024-03-26 Guangwen Li , Xiao Yu

In this paper, we propose a binarized neural network learning method called BiDet for efficient object detection. Conventional network binarization methods directly quantize the weights and activations in one-stage or two-stage detectors…

计算机视觉与模式识别 · 计算机科学 2020-03-10 Ziwei Wang , Ziyi Wu , Jiwen Lu , Jie Zhou

We study low-complexity iterative decoding algorithms for product codes. We revisit two algorithms recently proposed by the authors based on bounded distance decoding (BDD) of the component codes that improve the performance of conventional…

We present Bayesian Diffusion Models (BDM), a prediction algorithm that performs effective Bayesian inference by tightly coupling the top-down (prior) information with the bottom-up (data-driven) procedure via joint diffusion processes. We…

计算机视觉与模式识别 · 计算机科学 2024-04-23 Haiyang Xu , Yu Lei , Zeyuan Chen , Xiang Zhang , Yue Zhao , Yilin Wang , Zhuowen Tu

The increasing demand for energy-efficient solutions has led to the emergence of an approximate computing paradigm that enables power-efficient implementations in various application areas such as image and data processing. The median…

硬件体系结构 · 计算机科学 2025-10-23 Vojtech Mrazek , Zdenek Vasicek