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Elena Ehrlich, a principal data scientist at Amazon Web Services, works on, among other things, time-series modeling. It was her work in that area that caught the attention of the National Football League, which led to a new passing metric.

Using data science to help improve NFL quarterback passing scores

Principal data scientist Elena Ehrlich uses her skills to help a wide variety of customers — including the National Football League.

In any given month as a principal data scientist at Amazon Web Services (AWS), Elena Ehrlich might be working on time-series modeling, a computer vision project, a natural language processing problem, and more. Her work within the AWS Professional Services organization involves solving data problems for customers in fields ranging from media to energy to sports.

Spliced binned-Pareto distributions, developed in part by Elena Ehrlich, are flexible enough to handle symmetric, asymmetric, and multimodal distributions, offering a more consistent metric.

Sometimes a customer has a particular model in mind and will consult with Ehrlich's team to build or refine it. Often, though, they are not so far along. They simply have a business problem to solve. Ehrlich works with them anywhere from two months to three years to develop a solution that the client can then maintain going forward.

Ehrlich likes the ability to apply data science across a variety of verticals without having to switch jobs, or even teams.

"Amazon has a large and diverse landscape of customers, so I can gain a lot of different domain knowledge," Ehrlich says. "Each customer's needs are unique, which makes it very interesting, and the challenge is to come up with solutions that can be reused by other customers as well.”

Better predictions for spiky time series

Ehrlich's work with the NFL is one example of science applied to business challenges. Independent of her team's existing work with the league, she and colleagues developed a method for modeling heavy-tailed time series. In these sequences, one can have dramatic, unpredictable spikes: Think extreme rainfall events that shape totals over the course of a year, or a product suddenly going viral, increasing demand.

An NFL Next Gen Stats video screengrab shows Rams quarterback Matthew Stafford preparing to make a pass
The NFL's new Passing Score was developed using Ehrlich's Spliced Binned-Pareto method. It can place a quarterback's performance, such as that of Matthew Stafford, within the context of expected performance across the league.

Many statistical methods that would perform fine on more uniform curves falter when it comes to the noise of heavy-tailed time series. Yet being able to characterize these tails is important. On an EKG, for instance, you must be able to tell whether a peak in heart rate signals disease or simply the beginning of a workout.

Predictive models were not able to reliably pinpoint such anomalies. Over the course of a few months, Ehrlich and Amazon researchers Francois-Xavier Aubet and Laurent Callot developed a solution, which they presented at the 2021 International Conference on Learning Representations' RobustML Workshop.

"If you're seeing an issue from a few customers, then it's worth zooming out, solving it as a research problem, and then going back to examine to which customers this can apply," Ehrlich said.

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Their solution, the Spliced Binned-Pareto method, combines two statistical techniques, the binned and the Pareto distributions. The latter stems from Italian economist Vilfredo Pareto's 80/20 rule: The 1920s idea that 80% of outcomes emerge from 20% of the causes (most of a country's wealth attributable to a fifth of its population, for example). This power-law relationship, when generalized, delivered the Second Theorem of Extreme Value Theory in 1975, which states that any and all distribution tails can be well approximated by a Generalized Pareto Distribution.

The researchers combined this with binned distribution, which discretizes regions within a larger dataset. Their method effectively cordons off and zeroes in on the spikes within a time series, leading to an improved ability to accommodate these extremes and calibrate estimates of them over time, which in turn leads to more accurate heavy-tail predictions.

This work aligned with a request from the NFL. While quarterback ratings exist in various forms, the league wanted a metric to rate passing performance. But a meaningful passing metric had to extend beyond passing yards, touchdowns, and interceptions to reflect the degree of difficulty for those outcomes given the specific play’s circumstances, in order to evaluate the NFL quarterback’s performance.

In January, the National Football League announced its new QB passing score, which addressed the inconsistency across plays, games, weeks, and seasons found in previous scores. A method based on spliced binned-Pareto distributions, developed by Amazon researchers, led to the improved passing metric.

The resulting NFL Passing Score, developed using Ehrlich's Spliced Binned-Pareto method, can place a quarterback's performance within the context of expected performance across the league.

That's because it is capable of estimating that heavy tail — in this case, those exceptional moments in a quarterback's throw — and assign them the proper weight toward the overall score. The NFL debuted the Passing Score early this year, ahead of the Super Bowl. Perhaps not surprisingly, Green Bay Packers quarterback Aaron Rodgers had the highest score.

An early affinity for math

Though the Passing Score project is complete, Ehrlich continues to refine the Spliced Binned-Pareto distribution, among other facets of her work.

"You want to forge a team to be at the leading edge of industry," she says. "Leading edge is determined by how short the lag is between your academic progress and marketplace usage."

Ehrlich has bachelor's and master's degrees in mathematics and a doctorate degree in statistics, all from Imperial College London — a school she chose in part because its program allowed her to focus solely on mathematics from her first year of university.

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The predilection toward math and science runs in the family: Ehrlich's father is a mathematician, her mother a physicist. Numbers were a part of childhood, growing up in New Jersey. On skiing trips, she recalls, her father would point out the numbers on chair lifts and challenge her to factor them or shout "prime." If she got them all right, she'd get a candy reward.

"I thought these were fun games," Ehrlich says.

Ehrlich is glad to have had a singular focus on mathematics from undergrad onward.

"My career is where I went to get breadth and width, but it was really helpful to have this depth," she says. "It helps me learn faster when I get to a new domain or application, just having the technical strength."

'Genuinely excited about the problems'

Ehrlich embarked on her PhD, which focused on state-space models with applications for aerospace and missile tracking, thinking she would stay in academia. But as she completed the work in 2014, she knew there was an emerging job market for skills like hers.

"The real world had an appreciation for methodologies that weren't exactly instant," she says. "It takes some time to research good solutions and test out their longevity and experiment their generalizability."

She held research scientist positions at companies including IBM and Winton Capital Management before joining Amazon in 2017. Heading to Seattle headquarters, she prepared for some housekeeping-type meetings. She was surprised to find opportunities to sign up for dev ops and other classes related to Amazon technology. It felt like being back at university, she says, in a good way. The culture reflects this drive to learn; in fact, one of the company’s leadership principles is “learn and be curious.”

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"People that come to work here are genuinely excited about the problems," she says. "It makes for more data-driven conversation based on the problem at hand. That intersects with the fact that since Amazon is big with a wide-range of opportunities, it attracts a lot of top talent."

An early project for Ehrlich focused on 21st Century Fox. She developed and implemented an optimized Ad Sales Pricing platform for the company's advertising time spots, horizontally scaling to match potential advertisers with spots across millions of opportunities. Working with sales and engineering teams, she moved the algorithm into production, boosting revenue for Fox.

For students who are interested in a career like Ehrlich's, she recommends starting with first principles and then confirming that understanding with actual projects.

"You should have some corner of theory really well understood. Then iterate between knowing something and implementing it — it doesn't even matter how small," she says. "This is a very fast, but very solid, way to grow."

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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.
AU, NSW, Sydney
AWS Networking operates one of the largest and most complex networks on the planet. The team you'd join is responsible for the availability of that network — measuring how it performs for customers, predicting where it is most likely to degrade, and reshaping how we operate it as the workload grows. We are in the middle of a significant change in how network operations are run. Lessons from our recent work on automation, AI, and ML — including agentic systems that triage and mitigate incidents alongside engineers — are feeding into a broader rethink of where humans focus, where automation takes over, and how we measure whether either is working. We are looking for a Data Scientist to join the team in Sydney to drive the data science strategy behind that change. You will define the metrics that matter, own the evidence the team uses to make decisions, and measure whether each decision delivered the outcomes we expected. You'll be the data science voice on a team of senior network and software engineers — the person who decides what we measure, how we measure it, and what the numbers actually mean. Concretely, that means setting the analytical bar for the program, designing risk and reliability models against telemetry from millions of network devices, surfacing the patterns that drive customer-impact incidents, and turning that analysis into the dashboards and metrics our leaders use to set priorities. It also means owning the evaluations that tell us when a new piece of automation — including the agents we are rolling out to support engineers on the front line — is actually moving the needle on availability, and not just adding noise. If you are a scientist who wants to shape how a tier-one production network is run — using data to drive program strategy, not just to support it — at a scale no academic lab or startup can match, and you're at your best as the data science voice embedded in a team of engineers, this is the team for you. Key job responsibilities - Define and drive the data science strategy for the program — the metrics, the experiments, and what counts as evidence that a change worked - Lead the design and deployment of predictive risk and reliability models for network availability, using device failures, alarm telemetry, ticket data, and traffic signals - Own the evidence behind program decisions: where availability is at risk, where automation is ready to expand, where engineering effort has the highest leverage. Defend recommendations to senior technical and business audiences - Design and own the operational analytics and dashboards (Amazon QuickSight, Amazon CloudWatch, Python) used by senior leadership to track network health and the impact of operational change - Design and run experiments to evaluate the automation we are rolling out — including agentic systems supporting engineers on incidents — measuring whether each rollout improved availability - Drive data quality and classification improvements — event categorisation, root-cause attribution — so the program's metrics rest on solid ground - Build and own event-driven scoring pipelines (Python, SQL, AWS Lambda, Amazon S3, Amazon Athena) that keep the decide / measure / improve loop running - Bring statistical rigour to the engineers you partner with — review experiment designs, push back on unsupported assumptions, and raise the bar on how the team uses evidence A day in the life You might start the morning defining how the team will measure a new initiative — the success metrics, the counterfactual, the bar for calling it a win. By mid-morning you're with the engineering team turning a proposal into a decision: walking through trade-offs, pushing back where the data doesn't support an assumption. The afternoon is outcome measurement — refining the evaluation pipeline that tracks last week's rollout, updating the CloudWatch dashboard senior leadership uses to gate the next expansion, and prepping the data for an upcoming Director review. About the team We sit inside AWS Networking with a strong Sydney presence and a remit that spans network availability, the data and analytics that support it, and the automation we are building to change how operations are done. You'd be the data science voice in a small, senior team of network and software engineers in Sydney, partnering with the broader network engineering organisation across Seattle and Dublin. Small team, high autonomy, direct line to senior leadership, and a roadmap with real production impact rather than research demos.