blueswarm image.png
Swarm robotics involves scores of individual mobile robots that mimic the collective behavior demonstrated by animals. Certain robots, like the Bluebot pictured here, perform some of the same behaviors as a school of fish, such as aggregation, dispersion, and searching.
Courtesy of Radhika Nagpal, Harvard University

Schooling robots to behave like fish

Radhika Nagpal has created robots that can build towers without anyone in charge. Now she’s turned her focus to fulfillment center robots.

When Radhika Nagpal was starting graduate school in 1994, she and her future husband went snorkeling in the Caribbean. Nagpal, who grew up in a landlocked region of India, had never swum in the ocean before. It blew her away.

“The reef was super healthy and colorful, like being in a National Geographic television show,” she recalled. “As soon as I put my face in the water, this whole swarm of fish came towards me and then swerved to the right.”

Meet the Blueswarm
Blueswarm comprises seven identical miniature Bluebots that combine autonomous 3D multi-fin locomotion with 3D camera-based visual perception.

The fish fascinated her. As she watched, large schools of fish would suddenly stop or switch direction as if they were guided by a single mind. A series of questions occurred to her. How did they communicate with one another? What rules — think of them as algorithms — produced such complex group behaviors? What environmental prompts triggered their actions? And most importantly, what made collectives so much smarter and more successful than their individual members?

Radhika Nagpal is a professor of computer science at Harvard University’s Wyss Institute for Biologically Inspired Engineering and an Amazon Scholar
Radhika Nagpal is a professor of computer science at Harvard University’s Wyss Institute for Biologically Inspired Engineering and an Amazon Scholar.

Since then, Nagpal, a professor of computer science at Harvard University’s Wyss Institute for Biologically Inspired Engineering and an Amazon Scholar, has gone on to build swarming robots. Swarm robotics involves scores of individual mobile robots that mimic the collective behavior demonstrated by animals, e.g. how flocks of birds or schools of fish move together to achieve some end. The robots act as if they, too, were guided by a single mind, or, more precisely, a single computer. Yet they are not.

Instead, they follow a relatively simple set of behavioral rules. Without any external orders or directions, Nagpal’s swarms organize themselves to carry out surprisingly complex tasks, like spontaneously synchronizing their behavior, creating patterns, and even building a tower.

More recently, her lab developed swimming robots that performed some of the same behaviors as a school of fish, such as aggregation, dispersion, and searching. All without a leader.

Nagpal’s work demonstrates both how far we have come in creating self-organizing robot swarms that can perform tasks — and how far we still must go to emulate the complex tapestries woven by nature. It is a gap that Nagpal hopes to close by uncovering the secrets of swarm intelligence to make swarm robots far more useful.

Amorphous computing

The Caribbean fish sparked Nagpal’s imagination because she was already interested in distributed computing, where multiple computers collaborate to solve problems or transfer information without any single computer running the show. At MIT, where she had begun her PhD program, she was drawn to an offshoot of the field called amorphous computing. It investigates how limited, unreliable individuals — from cells to ants to fish — organize themselves to perform often complex tasks consistently without any hierarchies.

Amorphous computing was “hardware agnostic.” This meant that it sought rules that guided this behavior in both living organisms and computer systems. It asked, for example, how identical cells in an embryo form all the organs of an animal, how ants find the most direct route to food, or how fish coordinate their movements. By studying nature, these computer scientists hoped to build computer networks that operated on the same principles.

I got excited about how nature makes these complicated, distributed, mobile networks. Those multi-robot systems became a new direction of my research
Radhika Nagpal

After completing her doctoral work on self-folding materials inspired by how cells form tissues, Nagpal began teaching at Harvard. While there, she was visited by her friend James McLurkin, a pioneer in swarm robotics at MIT and iRobot.

“James is the one that got me into robot swarms by introducing me to all the things that ant and termite colonies do,” Nagpal said. “I got excited about how nature makes these complicated, distributed, mobile networks. James was developing that used similar principles to move around and work together. Those multi-robot systems became a new direction of my research.”

She was particularly taken by Namibian termites, which build large-scale nest mounds with multiple chambers and complex ventilation systems, often as high as 8 feet tall.

“As far as we know, there isn’t a blueprint or an a priori distribution between who’s doing the building and who is not. We know the queen does not set the agenda,” she explained. “These colonies start with hundreds of termites and expand their structure as they grow.”

The question fascinated her. “I have no idea how that works,” she said. “I mean, how do you create systems that are so adaptive?”

Finding the rules

Researchers have spent decades answering that question. One way, they found, is to act locally. Take, for example, a flock of geese at a pond. If one or two birds on the outside of the flock see a predator, they grow agitated and fly off, alerting the next nearest birds. The message percolates through flock. Once a certain number of birds have “voted” to fly off, the rest follow without any hesitation. They are not following a leader, only reacting only to the birds next to them.

How dynamic circle formation works

The same type of local behaviors could be used to make driverless vehicles safer. An autonomous vehicle, Nagpal explains, does not have to reason about all the other cars on the road, only the ones around it. By focusing on nearby vehicles, these distributed systems use less processing power without losing the ability to react to changes very quickly.

Such systems are highly scalable. “Instead of having to reason about everybody, your car only has to reason about its five neighbors,” Nagpal said. “I can make the system very large, but each individual’s reasoning space remains constant. That’s a traditional notion of scalable —the amount of processing per vehicle stays constant, but we’re allowed to increase the size of the system.”

Another key to swarm behavior involves embodied intelligence, the idea that brains interact with the world through bodies that can see, hear, touch, smell, and taste. This is a type of intelligence, too, Nagpal argues.

It’s almost like each individual fish acts like a distributed sensor. Instead of me doing all the work, somebody on the left can say, ‘Hey, I saw something.’ When the group divides the labor so that some of us look out for predators while the rest of us eat, it costs less in terms of energy and resources.
Radhika Nagpal

“When you think of an ant, there is not a concentrated set of neurons there,” she said, referring to the ant’s 20-microgram brain. “Instead, there is a huge amount of awareness in the body itself. I may wonder how an ant solves a problem, but I have to realize that somehow having a physical body full of sensors makes that easier. We do not really understand how to think about that still.”

Local actions, scalable behavior, and embodied intelligence are among the factors that make swarms successful. In fact, researchers have shown that the larger a school of fish, the more successful it is at evading predators, finding food, and not getting lost.

“It’s almost like each individual fish acts like a distributed sensor,” Nagpal said. “Instead of me doing all the work, somebody on the left can say, ‘Hey, I saw something.’ When the group divides the labor so that some of us look out for predators while the rest of us eat, it costs less in terms of energy and resources than trying to eat and look out for predators all by yourself.

“What’s really interesting about large insect colonies and fish schools is that they do really complicated things in a decentralized way, whereas people have a tendency to build hierarchies as soon as we have to work together,” she continued. “There is a cost to that, and if we try to do that with that with robots, we replicate the whole management structure and cost of a hierarchy.”

So Nagpal set out to build robots swarms that worked without top-down organization.

Animal behavior

A typical process in Nagpal’s group starts by identifying an interesting natural behavior and trying to discover the rules that generate those actions. Sometimes, they are surprisingly simple.

Take, for example, some behaviors exhibited by Nagpal’s colony of 1,000 interactive robots, each the size of quarter and each communicating with its nearest neighbors wirelessly. The robots will self-assemble into a simple line with a repeating color pattern based on only two rules: a motion rule that allows them to move around any stationary robots, and a pattern rule that tells them to take on the color of their two nearest neighbors.

Other combinations of simple rules spontaneously synchronize the blinking of robot lights, guide migrations, and get the robots to form the letter “K.”

Most impressively, Nagpal and her lab used a behavior found in termites, called stigmergy, to prompt self-organized robot swarms to build a tower. Stigmergy involves leaving a mark on the environment that triggers a specific behavior by another member of the group.

Stigmergy plays a role in how termites build their huge nests. One termite may sense that a spot would make a good place to build, so it puts down its equivalent of a mud brick. When a second termite comes along, the brick triggers it to place its brick there. As the number of bricks increase, the trigger grows stronger and other termites begin building pillars nearby. When they grow high enough, something triggers the termites to begin connecting them with roofs.

“The building environment has become a physical memory of what should happen next,” Nagpal said.

Nagpal used that type of structural memory to prompt her robotic swarm to build a ziggurat tower. The instructions included a motion rule about how to move through the tower and a pattern rule about where to place the blocks. She then built some small, block-carrying robots that built a smaller but no less impressive structure.

Her lab developed a compiler that could generate algorithms that would enable the robots to build specific types of structures — perhaps towers with minarets — by interacting with stigmergic physical memories. One day, algorithm-driven robots could move sandbags to shore up a levee in a hurricane or buttress a collapsed building. They could even monitor coral reefs, underwater infrastructure, and pipelines — if they could swim.

Schooling robofish

From the start, Nagpal wanted to build her own school of robotic fish, but the hardware was simply too clunky to make them practical. That changed with the advent of smartphones, with their low-cost, low-power processors, sensors, and batteries.

In 2018, she got her chance when she received an Amazon Machine Learning Research Award. This allowed her to build Blueswarm, a group of robotic fish that performed tasks like those she observed in the Caribbean years ago.

Each Bluebot is just four inches long, but it packs a small Raspberry Pi computer, two fish-eye cameras, and three blue LED lights. It also has a tail (caudal) fin for thrust, a dorsal fin to move up or down, and side fins (pectoral fins) to turn, stop, or swim backward.

Bluebots do not use Wi-Fi, GPS, or external cameras to communicate their positions without error. Instead, she wants to explore what behaviors are possible relying only on cameras and local perception of one’s mates.

How multi-behavior search works

Researchers, she explained, find it difficult to rely only upon local perception. It has been difficult to tackle fundamental questions, like how does a robot visually detect other members of the swarm, how they parse information, and what happens when one member moves in front of another. Limiting Bluebot sensing to local perception forces Nagpal and her team to think more deeply about what robots really need to know about their neighbors, especially when data is limited and imprecise. 

Bluebots can mimic several fish school behaviors by tracking LED lights on the neighboring fishbots around them. Using 3D cameras and simple algorithms, they estimate distance between lights on neighboring fish. (The closer they appear, the further the fish.)

Nagpal’s seven Bluebots form a circle (called milling) by turning right if there is a robot in front of them. If there is no robot, they turn left. After a few moments, the school will be swimming in a circle, a formation fish use to trap prey.

They can also search for a target flashing red light. First, the school disperses within the tank. When a Bluebot finds the red LED, it begins to flash its lights. This signals the nearest Bluebots to aggregate, followed by the rest. If a single robot had to conduct a similar search by itself, it would take significantly longer.

These behaviors are impressive for robots, but represent a small subset of fish school behaviors. They also take place in a static fish tank populated by only one school of robot fish. To go further, Nagpal wants to improve their sensors and perhaps use machine learning to discover new rules that could be combined to produce the aquatic equivalent of a tower.

In the end, though, Nagpal does not want to build a better fish. Instead, she wants to apply the lessons she has learned to real-world robots. She is doing just that during a sabbatical working at Amazon, which operates the largest fleet of robots — more than 200,000 units — in the world.

Practical uses

Nagpal had little previous experience working in industry, but she jumped at the chance to work with Amazon.

“There are few others with hundreds of robots moving around safely in a facility space,” she said. “And the opportunity to work on algorithms in a deployed system was very exciting."

There are few others [like Amazon] with hundreds of robots moving around safely in a facility space. And the opportunity to work on algorithms in a deployed system was very exciting.
Radhika Nagpal

“The other factor is that Amazon’s robots do a mix of centralized and decentralized decision-making," she continued. "The robots plan their own paths, but they also use the cloud to know more. That lets us ask: Is it better to know everything about all your neighbors all the time? Or is it better to only know about the neighbors that are closer to you?”

Her current focus is on sortation centers, where robots help route packages to shipping stations sorted by ZIP codes. Not surprisingly, robots setting out from multiple points to dozens of different locations require a degree of coordination. Amazon’s robots are already aware of other robots. If they see one, they will choose an alternate route. But what path should they take, Nagpal asks. She wants to make sure those robots are making the most effective possible choices.

Cities already manage this. They limit access to some roads, change speed limits, and add one-way streets. Computer networks do it as well, rerouting traffic when packet delivery slows down.

Some of those concepts, such as one-way travel lanes, also work in sortation centers. They could act as stigmergic signals to guide robot behavior. She also believes there might be a way to create simple swarm behaviors that enable robots to react to advanced data about incoming packages.

Once her sabbatical is over, Nagpal plans to return to the lab. She wants to keep working on her Bluebots, improving their vision, and turning them loose in environments that look more like the coral reef she went snorkeling in 25 years ago.

She is also dreaming of swarms of bigger robots for use in construction or trash collection.

“Maybe we could do what Amazon is doing, but do it outside,” she said. “We could have swarms of robots that actually do some sort of practical task. At Amazon, that task is delivery. But given Boston’s snowstorms, I think shoveling the sidewalks would be nice.”

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Do you enjoy solving challenging problems and driving innovations in research? As a Research Science intern with the Quantum Algorithms Team at CQC, you will work alongside global experts to develop novel quantum algorithms, evaluate prospective applications of fault-tolerant quantum computers, and strengthen the long-term value proposition of quantum computing. A strong candidate will have experience applying methods of mathematical and numerical analysis to assess the performance of quantum algorithms and establish their advantage over classical algorithms. Key job responsibilities We are particularly interested in candidates with expertise in any of the following subareas related to quantum algorithms: quantum chemistry, many-body physics, quantum machine learning, cryptography, optimization theory, quantum complexity theory, quantum error correction & fault tolerance, quantum sensing, and scientific computing, among others. A day in the life Throughout your journey, you'll have access to unparalleled resources, including state-of-the-art computing infrastructure, cutting-edge research papers, and mentorship from industry luminaries. This immersive experience will not only sharpen your technical skills but also cultivate your ability to think critically, communicate effectively, and thrive in a fast-paced, innovative environment where bold ideas are celebrated. Diverse Experiences AWS values diverse experiences. Even if you do not meet all of the qualifications and skills listed in the job description, we encourage candidates to apply. If your career is just starting, hasn’t followed a traditional path, or includes alternative experiences, don’t let it stop you from applying. Why AWS? Amazon Web Services (AWS) is the world’s most comprehensive and broadly adopted cloud platform. We pioneered cloud computing and never stopped innovating — that’s why customers from the most successful startups to Global 500 companies trust our robust suite of products and services to power their businesses. Inclusive Team Culture Here at AWS, it’s in our nature to learn and be curious. Our employee-led affinity groups foster a culture of inclusion that empower us to be proud of our differences. Ongoing events and learning experiences, including our Conversations on Race and Ethnicity (CORE) and AmazeCon (gender diversity) conferences, inspire us to never stop embracing our uniqueness. Mentorship & Career Growth We’re continuously raising our performance bar as we strive to become Earth’s Best Employer. That’s why you’ll find endless knowledge-sharing, mentorship and other career-advancing resources here to help you develop into a better-rounded professional. Work/Life Balance We value work-life harmony. Achieving success at work should never come at the expense of sacrifices at home, which is why we strive for flexibility as part of our working culture. When we feel supported in the workplace and at home, there’s nothing we can’t achieve in the cloud. Hybrid Work We value innovation and recognize this sometimes requires uninterrupted time to focus on a build. We also value in-person collaboration and time spent face-to-face. Our team affords employees options to work in the office every day or in a flexible, hybrid work model near one of our U.S. Amazon offices. This is not a remote internship opportunity. About the team Amazon Web Services (AWS) Center for Quantum Computing (CQC) is a multi-disciplinary team of theoretical and experimental physicists, materials scientists, and hardware and software engineers on a mission to develop a fault-tolerant quantum computer.
US, CA, Pasadena
We’re on the lookout for the curious, those who think big and want to define the world of tomorrow. At Amazon, you will grow into the high impact, visionary person you know you’re ready to be. Every day will be filled with exciting new challenges, developing new skills, and achieving personal growth. How often can you say that your work changes the world? At Amazon, you’ll say it often. Join us and define tomorrow. The Amazon Web Services (AWS) Center for Quantum Computing (CQC) in Pasadena, CA, is looking for a Quantum Research Scientist Intern in the Device and Architecture Theory group. You will be joining a multi-disciplinary team of scientists, engineers, and technicians, all working at the forefront of quantum computing to innovate for the benefit of our customers. Key job responsibilities As an intern with the Device and Architecture Theory team, you will conduct pathfinding theoretical research to inform the development of next-generation quantum processors. Potential focus areas include device physics of superconducting circuits, novel qubits and gate schemes, and physical implementations of error-correcting codes. You will work closely with both theorists and experimentalists to explore these directions. We are looking for candidates with excellent problem-solving and communication skills who are eager to work collaboratively in a team environment. Amazon Science gives you insight into the company’s approach to customer-obsessed scientific innovation. Amazon fundamentally believes that scientific innovation is essential to being the most customer-centric company in the world. It’s the company’s ability to have an impact at scale that allows us to attract some of the brightest minds in quantum computing and related fields. Our scientists continue to publish, teach, and engage with the academic community, in addition to utilizing our working backwards method to enrich the way we live and work. A day in the life Why AWS? Amazon Web Services (AWS) is the world’s most comprehensive and broadly adopted cloud platform. We pioneered cloud computing and never stopped innovating — that’s why customers from the most successful startups to Global 500 companies trust our robust suite of products and services to power their businesses. AWS Utility Computing (UC) provides product innovations — from foundational services such as Amazon’s Simple Storage Service (S3) and Amazon Elastic Compute Cloud (EC2), to consistently released new product innovations that continue to set AWS’s services and features apart in the industry. As a member of the UC organization, you’ll support the development and management of Compute, Database, Storage, Internet of Things (Iot), Platform, and Productivity Apps services in AWS. Within AWS UC, Amazon Dedicated Cloud (ADC) roles engage with AWS customers who require specialized security solutions for their cloud services. Inclusive Team Culture Here at AWS, it’s in our nature to learn and be curious. Our employee-led affinity groups foster a culture of inclusion that empower us to be proud of our differences. Ongoing events and learning experiences, including our Conversations on Race and Ethnicity (CORE) and AmazeCon (gender diversity) conferences, inspire us to never stop embracing our uniqueness. Diverse Experiences AWS values diverse experiences. Even if you do not meet all of the qualifications and skills listed in the job description, we encourage candidates to apply. If your career is just starting, hasn’t followed a traditional path, or includes alternative experiences, don’t let it stop you from applying. Mentorship & Career Growth We’re continuously raising our performance bar as we strive to become Earth’s Best Employer. That’s why you’ll find endless knowledge-sharing, mentorship and other career-advancing resources here to help you develop into a better-rounded professional. Work/Life Balance We value work-life harmony. Achieving success at work should never come at the expense of sacrifices at home, which is why we strive for flexibility as part of our working culture. When we feel supported in the workplace and at home, there’s nothing we can’t achieve in the cloud. Export Control Requirement: Due to applicable export control laws and regulations, candidates must be either a U.S. citizen or national, U.S. permanent resident (i.e., current Green Card holder), or lawfully admitted into the U.S. as a refugee or granted asylum, or be able to obtain a US export license. If you are unsure if you meet these requirements, please apply and Amazon will review your application for eligibility.
US, WA, Seattle
WW Amazon Stores Finance Science (ASFS) works to leverage science and economics to drive improved financial results, foster data backed decisions, and embed science within Finance. ASFS is focused on developing products that empower controllership, improve business decisions and financial planning by understanding financial drivers, and innovate science capabilities for efficiency and scale. We are looking for a data scientist to lead high visibility initiatives for forecasting Amazon Stores' financials. You will develop new science-based forecasting methodologies and build scalable models to improve financial decision making and planning for senior leadership up to VP and SVP level. You will build new ML and statistical models from the ground up that aim to transform financial planning for Amazon Stores. We prize creative problem solvers with the ability to draw on an expansive methodological toolkit to transform financial decision-making with science. The ideal candidate combines data-science acumen with strong business judgment. You have versatile modeling skills and are comfortable owning and extracting insights from data. You are excited to learn from and alongside seasoned scientists, engineers, and business leaders. You are an excellent communicator and effectively translate technical findings into business action. Key job responsibilities Demonstrating thorough technical knowledge, effective exploratory data analysis, and model building using industry standard ML models Working with technical and non-technical stakeholders across every step of science project life cycle Collaborating with finance, product, data engineering, and software engineering teams to create production implementations for large-scale ML models Innovating by adapting new modeling techniques and procedures Presenting research results to our internal research community