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While the NNGP and NTK limits essentially only considers the neural network initialization, the feature learning limit incorporates the entire training trajectory. A Neural network is represented by a stack of vertical shapes: an inverted trapezoid, a square, and a triangle. On the left side of the shape, A blue arrow moves upward and represents the first forward pass. The NNGP limit can be thought of as the limit of this first forward pass. On the right side of the shape, a green arrow moves downward and represents the first backward pass. The NTK limit can be thought of as the limit for this first backward pass. In contrast, the feature learning limit takes into account the many cycles of forward and backward passes that take place during the entire training process. These cycles are represented by many repetitions of blue upward arrow and green downward arrows to the right of the neural network. An orange box encloses all of these cycles. On top of the box is the annotation “SGD Training Progress” with an arrow to the right. An arrow comes out from the bottom of the box pointing to a textbox that says “Feature Learning Limit, This Work.”
Microsoft Research Blog

On infinitely wide neural networks that exhibit feature learning 

July 22, 2021 | Edward Hu and Greg Yang

In the pursuit of learning about fundamentals of the natural world, scientists have had success with coming at discoveries from both a bottom-up and top-down approach. Neuroscience is a great example of the former. Spanish anatomist Santiago Ramón y Cajal…

pearson

In the news | Microsoft Customers Stories

Pearson empowers language students to learn faster in a natural way with Azure AI capabilities 

July 22, 2021

Pearson helps people around the globe learn foreign languages so that they can advance in academics and careers. When primary school students learn English, they often need more practice and feedback from teachers and parents than they can get. Pearson…

In the news | Microsoft Industry Blogs

Explore the new wave of cloud innovation at HIMSS21 

July 22, 2021

It’s hard to believe another year of HIMSS is upon us and given the impact of COVID-19 on our society, we’ve all had to rethink how we approach connecting with community and engaging with audiences this past year. So, we…

Micah Stampley, Lisa Nakamura posing for a photo
Microsoft Research Blog

Lecture series aims to help spur dialogue around race and technology 

July 21, 2021

In November, NYU media professor Charlton McIlwain (opens in new tab) joined fellow scholars Safiya Noble, Ruha Benjamin, and André Brock for a virtual discussion on anti-Blackness and technology hosted by the University of California Santa Barbara. The conversation was…

Awards | CAV

Nikolaj Bjorner, Shuvendu Lahiri, Leonardo de Moura receive the CAV Award 2021 

July 21, 2021

The CAV award is given annually at the CAV conference for fundamental contributions to the field of Computer-Aided Verification.  In this nomination, CAV proposed to recognize contributors whose pioneering works laid the groundwork for the theory and practice of SMT. …

Huge hands holding tiny people office workers
Articles

Employee wellbeing: The new bellwether of corporate success? 

July 20, 2021

A healthy workplace culture that emphasizes wellbeing isn’t just a passing phase. Leaders understand that improving workplace culture is a smart long-term investment.

Two people side by side, Max Welling on the left and Chris Bishop on the right, in black and white smile and look forward.
Microsoft Research Podcast

Machine learning, molecular simulation, and the opportunity for societal good with Chris Bishop and Max Welling 

July 20, 2021

In this episode, Chris Bishop, Lab Director of Microsoft Research Cambridge, welcomes renowned machine learning researcher Max Welling to the Microsoft Research team as head of the new Amsterdam lab. Connecting over their shared physics background and vision for molecular…

a man wearing glasses and smiling at the camera

In the news | GeekWire

Microsoft Research to open Amsterdam lab focused on molecular simulation, led by noted physicist 

July 20, 2021

Microsoft Research will open a new lab in Amsterdam led by Max Welling, a physicist who specializes in molecular simulation, looking to further unlock the potential of machine learning in areas such as climate change and healthcare. The company announced the…

Traditional cellular network infrastructure compared to cellular network infrastructure in the Microsoft cloud Two graphics. The first depicts traditional cellular network infrastructure, beginning with cell towers receiving data and transferring it to physical buildings--local hubs, then central exchanges and finally data centers. The second depicts cloudified cellular network infrastructure, with cell towers transmitting data to telco edges and Microsoft edges. This is also labelled "RAN in the cloud". The data then flows to the Microsoft cloud, including core network and OSS/BSS as a service.
Microsoft Research Blog

Project Arno: How Microsoft Research created the technology and industry momentum for Azure to empower telecom operators in the cloud 

July 19, 2021 | Yongguang Zhang and Bozidar Radunovic

Editor’s note: In recent years, telecommunications operators have faced a growing challenge to meet surging global demand for immersive online services and collaboration tools. Upgrading their proprietary networks to prepare for 5G and beyond would require major capital expenditures, even…

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