New Deep Learning Algorithm Solves Rubik’s Cube

By John Russell

July 25, 2018

Solving (and attempting to solve) Rubik’s Cube has delighted millions of puzzle lovers since 1974 when the cube was invented by Hungarian sculptor and architecture professor Erno Rubik. Now, a group of UC Irvine researchers has developed a new algorithm – Autodidactic Iteration – able to solve Rubik’s Cube with no human assistance. The work is an advance in what’s called deep reinforcement learning (DRL), a form of DL that combines classic reinforcement learning, deep learning, and Monte Carlo Tree Search (MCTS).

“Our algorithm is able to solve 100% of randomly scrambled cubes while achieving a median solve length of 30 moves — less than or equal to solvers that employ human domain knowledge,” write the researchers in their paper – Solving the Rubik’s Cube Without Human Knowledge – published in May on arXiv.com. They called the resulting solver, appropriately, DeepCube.

Rubik’s Cube is a member of a class of problems whose solution has proven difficult for DRL because there are a large number of states and only one reward state. In this instance, Rubik’s Cube has a large state space, with approximately 4.3 × 1019different possible configurations. The lack of many ‘reward states’ make it difficult to develop a solving strategy.

Rubik spent a month finding the first algorithm to solve the cube. “Since then, the Rubik’s Cube has gained worldwide popularity and many human-oriented algorithms for solving it have been discovered. These algorithms are simple to memorize and teach humans how to solve the cube in a structured, step-by-step manner,” write the paper’s authors – Stephen McAleer, Alexander Shmakov, Forest Agostinell, and Pierre Baldi.

Machined learned approaches to solve the Rubik’s Cube have struggled to succeed without human help and have had to rely on hand-engineered features and group theory to systematically find solutions. Here’s a brief description how the researchers attacked the problem excerpted from the paper:

“To overcome a sparse reward in a model-based environment with a large state space, we introduce Autodidactic Iteration (ADI): an algorithm inspired by policy iteration for training a joint value and policy network. ADI trains the value function through an iterative supervised learning process. In each iteration, the inputs to the neural network are created by starting from the goal state and randomly taking actions. The targets seek to estimate the optimal value function by performing a breadth-first search from each input state and using the current network to estimate the value of each of the leaves in the tree. Updated value estimates for the root nodes are obtained by recursively backing up the values for each node using a max operator. The policy network is similarly trained by constructing targets from the move that maximizes the value. After the network is trained, it is combined with MCTS to efficiently solve the Rubik’s Cube.”

The network trained using ADI for 2,000,000 iterations. “The network witnessed approximately 8 billion cubes, including repeats, and it trained for a period of 44 hours. Our training machine was a 32-core Intel Xeon E5-2620 server with three NVIDIA Titan XP GPUs,” reported the researchers.

An account of the work also appeara in an Nvidia blogposted this week, “With a Few Twists and Turns, Rubik’s Cube May Unlock a Breakthrough in AI,” written by Tony Kontzer. Here’s an excerpt from that blog including a quote from the lead researcher:

“People complain that deep learning is a black box, and that they don’t know what the network is doing,” Baldi said. “We could see that the network was learning mathematics.”…The research team’s discovery — that a deep learning model can be used to teach a machine how to do math, in this case the algebraic concept known as group theory — is what Baldi called a “small step in the grand challenge of AI.”

Link to Nvidia blog: https://blogs.nvidia.com/blog/2018/07/23/rubiks-cube-ai-breakthrough/

Link to paper. https://arxiv.org/pdf/1805.07470.pdf

Subscribe to HPCwire's Weekly Update!

Be the most informed person in the room! Stay ahead of the tech trends with industy updates delivered to you every week!

AMD Epyc CPUs Now on Bare Metal IBM Cloud Servers

April 1, 2020

AMD’s expanding presence in the datacenter and cloud computing markets took a step forward with today’s announcement that its 7nm 2nd Gen Epyc 7642 CPUs are now available on IBM Cloud bare metal servers. AMD, whose Read more…

By Doug Black

Supercomputer Testing Probes Viral Transmission in Airplanes

April 1, 2020

It might be a long time before the general public is flying again, but the question remains: how high-risk is air travel in terms of viral infection? In an article for the Texas Advanced Computing Center (TACC), Faith Si Read more…

By Staff report

ECP Milestone Report Details Progress and Directions

April 1, 2020

The Exascale Computing Project (ECP) milestone report issued last week presents a good snapshot of progress in preparing applications for exascale computing. There are roughly 30 ECP application development (AD) subproj Read more…

By John Russell

Russian Supercomputer Employed to Develop COVID-19 Treatment

March 31, 2020

From Summit to [email protected], global supercomputing is continuing to mobilize against the coronavirus pandemic by crunching massive problems like epidemiology, therapeutic development and vaccine development. The latest a Read more…

By Staff report

What’s New in HPC Research: Supersonic Jets, Skin Modeling, Astrophysics & More

March 31, 2020

In this bimonthly feature, HPCwire highlights newly published research in the high-performance computing community and related domains. From parallel programming to exascale to quantum computing, the details are here. Read more…

By Oliver Peckham

AWS Solution Channel

Amazon FSx for Lustre Update: Persistent Storage for Long-Term, High-Performance Workloads

Last year I wrote about Amazon FSx for Lustre and told you how our customers can use it to create pebibyte-scale, highly parallel POSIX-compliant file systems that serve thousands of simultaneous clients driving millions of IOPS (Input/Output Operations per Second) with sub-millisecond latency. Read more…

Pandemic ‘Wipes Out’ 2020 HPC Market Growth, Flat to 12% Drop Expected

March 31, 2020

As the world battles the still accelerating novel coronavirus, the HPC community has mounted a forceful response to the pandemic on many fronts. But these efforts won't inoculate the HPC industry from the economic effects of COVID-19. Market watcher Intersect360 Research has revised its 2020 forecast for HPC products and services, projecting... Read more…

By Tiffany Trader

Pandemic ‘Wipes Out’ 2020 HPC Market Growth, Flat to 12% Drop Expected

March 31, 2020

As the world battles the still accelerating novel coronavirus, the HPC community has mounted a forceful response to the pandemic on many fronts. But these efforts won't inoculate the HPC industry from the economic effects of COVID-19. Market watcher Intersect360 Research has revised its 2020 forecast for HPC products and services, projecting... Read more…

By Tiffany Trader

Weather at Exascale: Load Balancing for Heterogeneous Systems

March 30, 2020

The first months of 2020 were dominated by weather and climate supercomputing news, with major announcements coming from the UK, the European Centre for Medium- Read more…

By Oliver Peckham

Q&A Part Two: ORNL’s Pooser on Progress in Quantum Communication

March 30, 2020

Quantum computing seems to get more than its fair share of attention compared to quantum communication. That’s despite the fact that quantum networking may be Read more…

By John Russell

DoE Expands on Role of COVID-19 Supercomputing Consortium

March 25, 2020

After announcing the launch of the COVID-19 High Performance Computing Consortium on Sunday, the Department of Energy yesterday provided more details on its sco Read more…

By John Russell

[email protected] Rallies a Legion of Computers Against the Coronavirus

March 24, 2020

Last week, we highlighted [email protected], a massive, crowdsourced computer network that has turned its resources against the coronavirus pandemic sweeping the globe – but [email protected] isn’t the only game in town. The internet is buzzing with crowdsourced computing... Read more…

By Oliver Peckham

Conversation: ANL’s Rick Stevens on DoE’s AI for Science Project

March 23, 2020

With release of the Department of Energy’s AI for Science report in late February, the effort to build a national AI program, modeled loosely on the U.S. Exascale Initiative, enters a new phase. Project leaders have already had early discussions with Congress... Read more…

By John Russell

Servers Headed to Junkyard Find 2nd Life Fighting Cancer in Clusters

March 20, 2020

Ottawa-based charitable organization Cancer Computer is on a mission to stamp out cancer and other life-threatening diseases, including coronavirus, by putting Read more…

By Tiffany Trader

Kubernetes and HPC Applications in Hybrid Cloud Environments – Part II

March 19, 2020

With the rise of cloud services, CIOs are recognizing that applications, middleware, and infrastructure running in various compute environments need a common management and operating model. Maintaining different application and middleware stacks on-premises and in cloud environments, by possibly using different specialized infrastructure and application... Read more…

By Daniel Gruber,Burak Yenier and Wolfgang Gentzsch, UberCloud

[email protected] Turns Its Massive Crowdsourced Computer Network Against COVID-19

March 16, 2020

For gamers, fighting against a global crisis is usually pure fantasy – but now, it’s looking more like a reality. As supercomputers around the world spin up Read more…

By Oliver Peckham

Julia Programming’s Dramatic Rise in HPC and Elsewhere

January 14, 2020

Back in 2012 a paper by four computer scientists including Alan Edelman of MIT introduced Julia, A Fast Dynamic Language for Technical Computing. At the time, t Read more…

By John Russell

Global Supercomputing Is Mobilizing Against COVID-19

March 12, 2020

Tech has been taking some heavy losses from the coronavirus pandemic. Global supply chains have been disrupted, virtually every major tech conference taking place over the next few months has been canceled... Read more…

By Oliver Peckham

[email protected] Rallies a Legion of Computers Against the Coronavirus

March 24, 2020

Last week, we highlighted [email protected], a massive, crowdsourced computer network that has turned its resources against the coronavirus pandemic sweeping the globe – but [email protected] isn’t the only game in town. The internet is buzzing with crowdsourced computing... Read more…

By Oliver Peckham

DoE Expands on Role of COVID-19 Supercomputing Consortium

March 25, 2020

After announcing the launch of the COVID-19 High Performance Computing Consortium on Sunday, the Department of Energy yesterday provided more details on its sco Read more…

By John Russell

Steve Scott Lays Out HPE-Cray Blended Product Roadmap

March 11, 2020

Last week, the day before the El Capitan processor disclosures were made at HPE's new headquarters in San Jose, Steve Scott (CTO for HPC & AI at HPE, and former Cray CTO) was on-hand at the Rice Oil & Gas HPC conference in Houston. He was there to discuss the HPE-Cray transition and blended roadmap, as well as his favorite topic, Cray's eighth-gen networking technology, Slingshot. Read more…

By Tiffany Trader

Fujitsu A64FX Supercomputer to Be Deployed at Nagoya University This Summer

February 3, 2020

Japanese tech giant Fujitsu announced today that it will supply Nagoya University Information Technology Center with the first commercial supercomputer powered Read more…

By Tiffany Trader

Tech Conferences Are Being Canceled Due to Coronavirus

March 3, 2020

Several conferences scheduled to take place in the coming weeks, including Nvidia’s GPU Technology Conference (GTC) and the Strata Data + AI conference, have Read more…

By Alex Woodie

Leading Solution Providers

SC 2019 Virtual Booth Video Tour

AMD
AMD
ASROCK RACK
ASROCK RACK
AWS
AWS
CEJN
CJEN
CRAY
CRAY
DDN
DDN
DELL EMC
DELL EMC
IBM
IBM
MELLANOX
MELLANOX
ONE STOP SYSTEMS
ONE STOP SYSTEMS
PANASAS
PANASAS
SIX NINES IT
SIX NINES IT
VERNE GLOBAL
VERNE GLOBAL
WEKAIO
WEKAIO

Cray to Provide NOAA with Two AMD-Powered Supercomputers

February 24, 2020

The United States’ National Oceanic and Atmospheric Administration (NOAA) last week announced plans for a major refresh of its operational weather forecasting supercomputers, part of a 10-year, $505.2 million program, which will secure two HPE-Cray systems for NOAA’s National Weather Service to be fielded later this year and put into production in early 2022. Read more…

By Tiffany Trader

Exascale Watch: El Capitan Will Use AMD CPUs & GPUs to Reach 2 Exaflops

March 4, 2020

HPE and its collaborators reported today that El Capitan, the forthcoming exascale supercomputer to be sited at Lawrence Livermore National Laboratory and serve Read more…

By John Russell

Summit Supercomputer is Already Making its Mark on Science

September 20, 2018

Summit, now the fastest supercomputer in the world, is quickly making its mark in science – five of the six finalists just announced for the prestigious 2018 Read more…

By John Russell

IBM Unveils Latest Achievements in AI Hardware

December 13, 2019

“The increased capabilities of contemporary AI models provide unprecedented recognition accuracy, but often at the expense of larger computational and energet Read more…

By Oliver Peckham

TACC Supercomputers Run Simulations Illuminating COVID-19, DNA Replication

March 19, 2020

As supercomputers around the world spin up to combat the coronavirus, the Texas Advanced Computing Center (TACC) is announcing results that may help to illumina Read more…

By Staff report

IBM Debuts IC922 Power Server for AI Inferencing and Data Management

January 28, 2020

IBM today launched a Power9-based inference server – the IC922 – that features up to six Nvidia T4 GPUs, PCIe Gen 4 and OpenCAPI connectivity, and can accom Read more…

By John Russell

Summit Joins the Fight Against the Coronavirus

March 6, 2020

With the coronavirus sweeping the globe, tech conferences and supply chains are being hit hard – but now, tech is hitting back. Oak Ridge National Laboratory Read more…

By Staff report

University of Stuttgart Inaugurates ‘Hawk’ Supercomputer

February 20, 2020

This week, the new “Hawk” supercomputer was inaugurated in a ceremony at the High-Performance Computing Center of the University of Stuttgart (HLRS). Offici Read more…

By Staff report

  • arrow
  • Click Here for More Headlines
  • arrow
Do NOT follow this link or you will be banned from the site!
Share This