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logLTN: Differentiable Fuzzy Logic in the Logarithm Space

Badreddine, Samy, Serafini, Luciano, Spranger, Michael

arXiv.org Artificial Intelligence

The AI community is increasingly focused on merging logic with deep learning to create Neuro-Symbolic (NeSy) paradigms and assist neural approaches with symbolic knowledge. A significant trend in the literature involves integrating axioms and facts in loss functions by grounding logical symbols with neural networks and operators with fuzzy semantics. Logic Tensor Networks (LTN) is one of the main representatives in this category, known for its simplicity, efficiency, and versatility. However, it has been previously shown that not all fuzzy operators perform equally when applied in a differentiable setting. Researchers have proposed several configurations of operators, trading off between effectiveness, numerical stability, and generalization to different formulas. This paper presents a configuration of fuzzy operators for grounding formulas end-to-end in the logarithm space. Our goal is to develop a configuration that is more effective than previous proposals, able to handle any formula, and numerically stable. To achieve this, we propose semantics that are best suited for the logarithm space and introduce novel simplifications and improvements that are crucial for optimization via gradient-descent. We use LTN as the framework for our experiments, but the conclusions of our work apply to any similar NeSy framework. Our findings, both formal and empirical, show that the proposed configuration outperforms the state-of-the-art and that each of our modifications is essential in achieving these results.


'The Five' on Disney controversy, COVID boosters

FOX News

'The Five' panel weighs in on Disney's protest over the new Florida law. This is a rush transcript of "The Five" on March 30, 2022. This copy may not be in its final form and may be updated. It's five o'clock in New York City, and this is THE FIVE. WATTERS: Yet another big American company going woke. Disney caving to the liberal mob and pledging to help repeal the new parental rights bill that just signed into law by Florida Governor Ron DeSantis. Which Democrats and the media have completely lied about and called them bigoted? RON DESANTIS (R-FL): For a company like Disney to say that the bill should have never passed, first of all, Tucker, they weren't saying anything when this is going through the House. They only started doing this because the mob, the woke mob came after them. But put that aside, for them to say that them as a California-based company are going to work to take those California values and overturned a law that was duly enacted, and as you said, supported by a strong majority of Floridians, they don't run the state. We have done a bill that prohibited talking about the abuse of Uyghurs in China, Disney would support that legislation. Now they know it's hello, everyone, or hello friends. When we brought the fireworks back to the magic kingdom, we no longer say ladies and gentlemen, boys and girls, we say dreamers of all ages. PIERS MORGAN, FOX NEWS CO-HOST: By the way, sorry, but when you can't even say ladies and gentlemen anymore or boys and girls. What in the world is happening in the world? WATTERS: Would you like to go ahead. I was going to ask Greg. WATTERS: Piers, with your, you know, very, very rude habits. GUTFELD: I think I just had a stroke. MORGAN: You deserve a pretty outburst of rage. My heart -- (CROSSTALK) MORGAN: Honestly, it is so pathetic, isn't it? You can't go to a theme park and you can't hear the word ladies and gentlemen, boys and girls.


JP Morgan is unleashing artificial intelligence on a business that moves $5 trillion for corporations every day

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J.P. Morgan wouldn't disclose what it spent on this project but has said that 40 percent of its $10.8 billion annual technology budget is devoted to new efforts, including AI, robotic process automation and blockchain. "Based on your behavior each time, it will start to learn what you ask for," Tiede said in an interview. "We think there's a huge opportunity to suggest creative and insightful recommendations to clients. When you log in, it can say, 'Looks like you have sent 100 US dollar wires to Singapore. Do you know you could send a foreign-exchange ACH payment instead? Click here to sign up.'"

  Country: Asia > Singapore (0.28)
  Industry: Banking & Finance (1.00)

BAML hires top machine-learning quant from J.P. Morgan

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Bank of America Merrill Lynch hired Rajesh Krishnamachari, formerly a senior quantitative strategist and researcher at J.P. Morgan, as the head of data science for equities in New York last month. BofA's new equities-focused data-science team is using machine learning and artificial intelligence to get insights from proprietary data and develop new products that have an impact on the top and bottom line of the business. A Bank of America spokeswoman confirmed his employment but declined to comment further. Krishnamachari joined J.P. Morgan's equity derivatives quantitative research team in 2014. Primarily using Python, Java and the XGBoost software library, he designed and back-tested systematic options, VIX and equities trading strategies, as well as an ultra-high-frequency execution algorithm for trading VIX futures.



Gender and emotion examined in artificial intelligence tale 'Morgan'

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VENICE It was director Lav Diaz' art of exploring human drama at length that tempted Charo Santos-Concio back to the screen after nearly two decades, the actress-turned-media executive said at the Venice film festival on Friday.


Artificial Intelligence Is It Real?

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Artificial intelligence could improve diagnostic power of lung function tests European Lung ... IBM Watson AI Creates a Trailer for'Morgan' & It Is Creepy IBM's Watson AI creates trailer for AI movie'Morgan'


AI Wants to Be Your Bro, Not Your Foe

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Artificial intelligence could improve diagnostic power of lung function tests European Lung ... IBM Watson AI Creates a Trailer for'Morgan' & It Is Creepy Russia: Neural network food app Borsch launches; Mail.ru invests in IT education;GetIntent plans ... IBM's Watson AI creates trailer for AI movie'Morgan'


Artificial intelligence could improve diagnostic power of lung function tests European Lung ...

#artificialintelligence

Artificial intelligence could improve diagnostic power of lung function tests European Lung ... IBM Watson AI Creates a Trailer for'Morgan' & It Is Creepy Russia: Neural network food app Borsch launches; Mail.ru invests in IT education;GetIntent plans ... IBM's Watson AI creates trailer for AI movie'Morgan'


Gender and emotion examined in artificial intelligence tale 'Morgan'

#artificialintelligence

VENICE Wim Wenders shot "Les Beaux Jours d'Aranjuez", an adaptation of a play by Austrian writer Peter Handke, in 3D to draw viewers more intimately into a dialogue about how men see women and how women see men, the veteran German director said on Thursday.