Uganda
- Information Technology > Artificial Intelligence > Representation & Reasoning > Uncertainty (1.00)
- Information Technology > Artificial Intelligence > Machine Learning > Statistical Learning (1.00)
- Information Technology > Artificial Intelligence > Machine Learning > Neural Networks > Deep Learning (1.00)
- Europe > United Kingdom > England > Oxfordshire > Oxford (0.14)
- Europe > Portugal (0.04)
- Europe > France (0.04)
- (216 more...)
- Health & Medicine > Therapeutic Area > Infections and Infectious Diseases (1.00)
- Government (1.00)
- Energy (1.00)
- (4 more...)
- Information Technology > Artificial Intelligence > Representation & Reasoning > Expert Systems (1.00)
- Information Technology > Artificial Intelligence > Representation & Reasoning > Agents (1.00)
- Information Technology > Artificial Intelligence > Machine Learning > Evolutionary Systems (1.00)
- (4 more...)
- Leisure & Entertainment > Sports > Martial Arts (1.00)
- Law Enforcement & Public Safety > Crime Prevention & Enforcement (1.00)
- Law (1.00)
- (13 more...)
A Appendix
The complete list may be seen in Table 8. Here are a few general notes about these strings: 1. Based on their recommendations, we did the following: 1. zh, zh_Latn: This resulted in the special filters described below. URLs) the corpora were in languages different from the LangID predictions. This is mainly mis-rendered PDFs and may have practical applications for denoising, or for decoding such garbled PDFs.
- Oceania > Tonga (0.04)
- North America > United States (0.04)
- South America > Peru > Huánuco Department > Huánuco Province > Huánuco (0.04)
- (24 more...)
- North America > United States (0.28)
- Europe > Switzerland > Zürich > Zürich (0.14)
- Asia > Middle East > Republic of Türkiye (0.04)
- (4 more...)
- Government (0.68)
- Media (0.68)
- Leisure & Entertainment > Sports > Tennis (0.68)
- Transportation > Ground > Rail (0.46)
- Information Technology > Artificial Intelligence > Vision (0.93)
- Information Technology > Artificial Intelligence > Natural Language > Large Language Model (0.72)
- Information Technology > Artificial Intelligence > Machine Learning > Neural Networks > Deep Learning (0.68)
- Information Technology > Sensing and Signal Processing > Image Processing (0.67)
- North America > United States (0.28)
- Europe > Switzerland > Zürich > Zürich (0.14)
- Asia > Middle East > Republic of Türkiye (0.04)
- (5 more...)
- Government (0.68)
- Media (0.68)
- Leisure & Entertainment > Sports > Tennis (0.67)
- Transportation > Ground > Rail (0.46)
- Africa > Burkina Faso (0.04)
- North America > United States > Massachusetts > Middlesex County > Cambridge (0.04)
- Europe > United Kingdom > England > Cambridgeshire > Cambridge (0.04)
- (3 more...)
- Europe > Germany > Saxony > Leipzig (0.05)
- North America > United States > California > San Diego County > San Diego (0.04)
- Asia > China > Hubei Province > Wuhan (0.04)
- (2 more...)
- Information Technology (0.67)
- Law (0.67)
- Government (0.67)
- Health & Medicine (0.46)
Reasoning about Uncertainties in Discrete-Time Dynamical Systems using Polynomial Forms
In this paper, we propose polynomial forms to represent distributions of state variables over time for discrete-time stochastic dynamical systems. This problem arises in a variety of applications in areas ranging from biology to robotics. Our approach allows us to rigorously represent the probability distribution of state variables over time, and provide guaranteed bounds on the expectations, moments and probabilities of tail events involving the state variables. First, we recall ideas from interval arithmetic, and use them to rigorously represent the state variables at time t as a function of the initial state variables and noise symbols that model the random exogenous inputs encountered before time t. Next, we show how concentration of measure inequalities can be employed to prove rigorous bounds on the tail probabilities of these state variables. We demonstrate interesting applications that demonstrate how our approach can be useful in some situations to establish mathematically guaranteed bounds that are of a different nature from those obtained through simulations with pseudo-random numbers.
- North America > United States > Colorado > Boulder County > Boulder (0.04)
- Europe > United Kingdom > England > Cambridgeshire > Cambridge (0.04)
- Europe > France > Île-de-France > Paris > Paris (0.04)
- (4 more...)
- Health & Medicine (0.69)
- Government (0.46)
- Asia > China > Shanghai > Shanghai (0.05)
- North America > United States > New York (0.05)
- Africa > Kenya > Nakuru County > Nakuru (0.04)
- (4 more...)