Data Science

Almost every organisation has data it could make use of. Yet off-the-shelf data science approaches are not always suited to real-world data. Simple statistics, clustering, and linear regression models can only model the simplest of data distributions, while training deep learning on organisation-specific datasets requires quantities of data and computation that can be impractical for many. Many real-world datasets have relatively few samples, yet nevertheless possess statistical complexity. Yet organisations rarely know how to meaningfully approach such data. Shellhex's Data Science service aims to address such limitations through a bespoke approach aimed at understanding the statistical structure of a data source, rather than relying on off-the-shelf statistical tests and analysis tools.

Shellhex's Data Science Edge

Our team has deep academic training in data analysis and familiarity with cutting-edge topics in machine learning and computational statistics, including relatively niche areas such as probabilistic programming. We have a deep understanding of Bayesian methods in particular, as well as experience applying such methods in complex real-world domains such as computer vision. This matters because the market is crowded with data science that all reaches for the same handful of off-the-shelf tools - a regression here, a clustering algorithm there, a dashboard of summary statistics. Our advantage is the ability to step outside that toolkit and build a model suited to the actual structure of your data, drawing on methods most analytics providers never touch. We are the right choice when your data is genuinely difficult.

Our competitive advantage lies in our approach, which draws on our unique experience and training. Unlike most data scientists, we view the core challenge of data science as modelling the statistical structure of a data source's distribution computationally. Once this is achieved, answers to all the further questions one might have present themselves. You can calculate whatever descriptive or test statistics on whatever marginals you want if you have a computational model of the statistical structure of a data source, and you can even perform approximate Bayesian inference to reconstruct the latent variables underlying newly observed data points, which for a causally-structured model can reflect its causal history.

Modelling The Structure, Not The Statistic

It is helpful to contrast our approach with those of traditional data science. Most data science is organised around questions - does this factor drive that outcome, are these two groups different, what predicts this behaviour - and the data scientist reaches directly for the tool that answers it: a particular test, a particular regression, a particular chart. Each question gets its own method, each method makes its own assumptions that the practitioner hopes hold, and you are left with whatever single summary that method happens to produce. We work the other way around. Our focus is building a computational model of the statistical structure of the data itself - the joint distribution underlying it, the generative process that could have produced it. This is a harder thing to build than a single test statistic, but it is a far more powerful thing to have, because once you possess a faithful model of the structure, every question you might ask becomes a query against it. Any descriptive statistic, any hypothesis test, any marginal or conditional distribution, any prediction or simulation falls out of the same underlying model, computed on demand.

Built For Small, Complex Data

Modelling structure directly is only practical with the right methods, and the regime we specialise in - data that is statistically complex yet limited in sample size - is exactly where those methods earn their keep. Our core toolkit is Bayesian and probabilistic: rather than selecting a model from a fixed menu, we specify a bespoke generative model as a program, and let principled inference fit it to your data. This approach has three properties that matter enormously when data is scarce. It lets us encode what you already know - the shape of a relationship, a physical constraint, the structure of a process - directly into the model, so that limited data is spent refining genuine unknowns rather than rediscovering things you could have told us. It handles uncertainty honestly, returning not a single point estimate but a full picture of what the structure could plausibly be, so you know exactly how much to trust each conclusion - a discipline that is indispensable when every estimate rests on few observations. And where your data is naturally grouped - measurements within sites, customers within segments, trials within experiments - hierarchical models let each small group borrow statistical strength from the others, extracting reliable structure from samples that would be hopeless in isolation. Throughout, we validate by asking the model to generate data and checking whether what it produces actually resembles reality, rather than trusting a single goodness-of-fit number.

One Model, Many Questions

The practical consequence is that a single Data Science contract with us can answer questions you have not even asked yet. Because the deliverable is a model of the structure rather than a one-off answer, it keeps paying out: as new questions arise, they can be put to the same model without starting again. The estimates come with calibrated uncertainty, so a confident finding and a tentative one are never confused. And because we built the structure deliberately rather than fitting an opaque black box, the model is interpretable - we can show you not only what it concludes but why, in terms of the structure we encoded. The same modelling underpins tasks that look quite different on the surface: forecasting, anomaly and outlier detection, simulation and what-if analysis, and rigorous comparison between groups or interventions. They are all, in the end, queries against a model of how the data behaves.

What You Receive

What you receive depends on the problem, but it typically combines three things: a clear, honest account of what your data does and does not support - including, where that is the answer, a frank statement that the data cannot bear the weight a question puts on it; the model itself, documented and usable, as a durable asset rather than a slide; and the specific findings you came to us for, with their uncertainty made explicit. Where those findings need to be communicated to others, our Data Visualisation service turns a model's output into something an audience can grasp at a glance, and our Data Dashboards service puts live, ongoing answers in front of the people who need them. And where a model needs to become a working part of your systems rather than a one-off analysis, our Bespoke Software Development service can build it in.