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Multi-dimensional Hawkes process (MHP) is a class of self and mutually exciting point processes that find wide range of applications -- from prediction of earthquakes to modelling of order books in high frequency trading. This paper makes…

机器学习 · 统计学 2020-06-05 Sobin Joseph , Lekhapriya Dheeraj Kashyap , Shashi Jain

Due to its clustering and self-exciting properties, the Hawkes process has been used extensively in numerous fields ranging from sismology to finance. Since data is often aquired on regular time intervals, we propose a piece-wise constant…

概率论 · 数学 2021-06-28 Lorick Huang , Mahmoud Khabou

Classic results show that the Hawkes self-exciting point process can be viewed as a collection of temporal clusters, where exogenously generated initial events give rise to endogenously driven descendant events. This perspective provides…

概率论 · 数学 2022-12-12 Andrew Daw

Synthetic data has been proposed as a solution to address the issue of high-quality data scarcity in the training of large language models (LLMs). Studies have shown that synthetic data can effectively improve the performance of LLMs on…

计算与语言 · 计算机科学 2024-06-19 Jie Chen , Yupeng Zhang , Bingning Wang , Wayne Xin Zhao , Ji-Rong Wen , Weipeng Chen

Synthesis is a particularly challenging problem for concurrent programs. At the same time it is a very promising approach, since concurrent programs are difficult to get right, or to analyze with traditional verification techniques. This…

形式语言与自动机理论 · 计算机科学 2015-06-09 Anca Muscholl

Long-context LLMs are increasingly in demand for applications such as retrieval-augmented generation. To defray the cost of pretraining LLMs over long contexts, recent work takes an approach of synthetic context extension: fine-tuning LLMs…

计算与语言 · 计算机科学 2025-05-29 Xinyu Zhao , Fangcong Yin , Greg Durrett

Spiking neural networks (SNNs) have garnered significant attention for their low power consumption and high biological interpretability. Their rich spatio-temporal information processing capability and event-driven nature make them ideally…

计算机视觉与模式识别 · 计算机科学 2024-09-20 Xian Zhong , Shengwang Hu , Wenxuan Liu , Wenxin Huang , Jianhao Ding , Zhaofei Yu , Tiejun Huang

The Hawkes process is a simple point process that has long memory, clustering effect, self-exciting property and is in general non-Markovian. The future evolution of a self-exciting point process is influenced by the timing of the past…

概率论 · 数学 2013-06-25 Lingjiong Zhu

We proposed a data-driven approach to dissect multivariate time series in order to discover multiple phases underlying dynamics of complex systems. This computing approach is developed as a multiple-dimension version of Hierarchical Factor…

统计方法学 · 统计学 2021-03-09 Xiaodong Wang , Fushing Hsieh

Causality is crucial to understanding the mechanisms behind complex systems and making decisions that lead to intended outcomes. Event sequence data is widely collected from many real-world processes, such as electronic health records, web…

人工智能 · 计算机科学 2020-11-20 Zhuochen Jin , Shunan Guo , Nan Chen , Daniel Weiskopf , David Gotz , Nan Cao

Synthetic high-quality multi-step reasoning data can significantly enhance the performance of large language models on various tasks. However, most existing methods rely on rejection sampling, which generates trajectories independently and…

计算与语言 · 计算机科学 2025-07-22 Peiji Li , Kai Lv , Yunfan Shao , Yichuan Ma , Linyang Li , Xiaoqing Zheng , Xipeng Qiu , Qipeng Guo

The problem of synthetic speech detection has enjoyed considerable attention, with recent methods achieving low error rates across several established benchmarks. However, to what extent can low error rates on academic benchmarks translate…

音频与语音处理 · 电气工程与系统科学 2025-05-23 Ashi Garg , Zexin Cai , Lin Zhang , Henry Li Xinyuan , Leibny Paola García-Perera , Kevin Duh , Sanjeev Khudanpur , Matthew Wiesner , Nicholas Andrews

Program synthesis aims to automatically construct human-readable programs that satisfy given task specifications, such as input/output pairs or demonstrations. Recent works have demonstrated encouraging results in a variety of domains, such…

软件工程 · 计算机科学 2023-03-13 Linghan Zhong , Ryan Lindeborg , Jesse Zhang , Joseph J. Lim , Shao-Hua Sun

Many networks have event-driven dynamics (such as communication, social media and criminal networks), where the mean rate of the events occurring at a node in the network changes according to the occurrence of other events in the network.…

社会与信息网络 · 计算机科学 2023-03-22 Santitissadeekorn N. , Delahaies S. , Lloyd D. J. B

A common approach to synthetic data is to sample from a fitted model. We show that under general assumptions, this approach results in a sample with inefficient estimators and whose joint distribution is inconsistent with the true…

统计理论 · 数学 2026-02-18 Jordan Awan , Zhanrui Cai

We consider online monitoring of the network event data to detect local changes in a cluster when the affected data stream distribution shifts from one point process to another with different parameters. Specifically, we are interested in…

统计方法学 · 统计学 2022-12-26 Rui Zhang , Haoyun Wang , Yao Xie

Hawkes Processes capture self-excitation and mutual-excitation between events when the arrival of an event makes future events more likely to happen. Identification of such temporal covariance can reveal the underlying structure to better…

机器学习 · 计算机科学 2020-06-03 Rafael Lima , Jaesik Choi

Human activities generate various event sequences such as taxi trip records, bike-sharing pick-ups, crime occurrence, and infectious disease transmission. The point process is widely used in many applications to predict such events related…

Synthetic data is widely adopted in embedding models to ensure diversity in training data distributions across dimensions such as difficulty, length, and language. However, existing prompt-based synthesis methods struggle to capture…

计算与语言 · 计算机科学 2025-12-05 Haoran Li , Zhiming Su , Junyan Yao , Enwei Zhang , Yang Ji , Yan Chen , Kan Zhou , Chao Feng , Jiao Ran

A key difficulty that arises from real event data is imprecision in the recording of event time-stamps. In many cases, retaining event times with a high precision is expensive due to the sheer volume of activity. Combined with practical…

统计方法学 · 统计学 2020-01-22 Leigh Shlomovich , Edward Cohen , Niall Adams , Lekha Patel