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Ultimate Environment for Data Science

Wolfram is a preeminent provider of data science solutions and services—applying a multiparadigm approach to optimize data-driven answers by deploying the widest range of computational methods, advanced automation and human-data interfaces, rather than using the same predetermined recipes across diverse problem types.

Wolfram Data Science Areas

The field of data science is constantly growing and changing. A multiparadigm workflow requires a broad algorithmic toolkit with the full suite of processing, analysis and visualization for ever-increasing computational needs.

Machine Learning Generate adaptive models directly from complex datasets for object classification and predictive analytics, such as identifying which new advertising markets to enter. Tech for machine learning Examples using machine learning Classifying Japanese Characters from the Edo Period Predictive Analytics in Finance Predicting Winning Odds of Italian Series A Soccer 1934–2017	Graph/Network Analysis Explore and visualize systems of discrete relationships to analyze correlations and patterns, such as modeling demographics in a social network. Tech for graph/network analysis Examples using graph/network analysis Analyzing Social Networks of Colonial Boston Revolutionaries with the Wolfram Language Growth and Spreading of Topics on INSPIRE-HEP Identification & Graph Structure of Rivers	Time Series Model, simulate and forecast sequences of events over time to track long-term trends and make predictions, such as expected sales for the next holiday season. Tech for time series Examples using time series Pairs Trading with Copulas Inflation Forecasting with SARIMA Modeling Predictive Analytics in Finance
Neural Networks Create and train layered processing networks for deep analysis and processing tasks, such as recognizing defective items coming off a production line. Tech for neural networks Examples using neural networks Walking the Dog: Neural Nets, Image Identification and Geolocation Semantic Image Segmentation Neural Network in the Wolfram Language Finding Yoga-Poses Constellations in the Night Sky Higgs Boson Classification via Neural Network Image Colorization	Cluster Analysis Group and analyze data based on similarity measures to extract underlying patterns and relationships, such as which customers are most similar to your top 100. Tech for cluster analysis Clustering Techniques for a Large Multi-asset Portfolio Idea-Nets and Uniqueness of US Inaugural Addresses	Semantic Text Analysis Analyze underlying structures in linguistic data to clean up data and extract meaning, such as determining sentiment in customer comments. Tech for semantic text analysis Examples using semantic text analysis Tracking a Descent to Savagery with the Wolfram Language: Plotting Sentiment Analysis in Lord of the Flies The Great Conversation in USA Presidential Speeches Market Sentiment Analysis Patent Claims Analytics
Dynamic Visualization Display data in styled plots, charts and infographics, making it human-readable and interactive for quick analysis and decision making. Tech for dynamic visualization Examples using dynamic visualization Reddit DataViz Battle JAN2018: Visualize the Growth Rates of Algae The Voters Have Spoken—But What Did They Say? (Part 2) Temperature in Champaign, IL, from 1973–2017—Visualization The Global Terrorism Database (GTD) Flight Data and Trajectories of Aeroplanes Electricity Price Forecasting	Survival Analysis Compute survival functions and lifetime distributions to analyze time-to-event data, such as the expected lifetime of a piece of industrial equipment. Tech for survival analysis Examples using survival analysis Survival Probabilities in the United States	Report Generation Display conclusions and insights in a styled, formatted document for meetings, ongoing projects or public information, like a quarterly earnings report. Tech for report generation Examples using report generation

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Data Semantics Standardize various incoming datasets into a unified framework for easier analysis, such as consolidating data with different unit systems. Tech for data semantics Examples using data semantics Automotive Reliability in the Wolfram Language Protecting NHS Patients with the Wolfram Language Airline Performance in 2015 LHC Data Exploration Using the Wolfram Language The Global Terrorism Database (GTD)	Queueing Theory Model and simulate systems of queues to analyze waiting times and resource allocation, such as the optimal number of tellers at a bank branch. Tech for queueing theory Examples using queueing theory The Mathematics of Queues	Wavelets Deconstruct data signals into constituent parts for advanced manipulation and filtering of specific features, such as eliminating background noise from sensor data. Tech for wavelets Examples using wavelets Wavelets and Their Application in Mathematica
Systems Modeling Model physical, electrical and other systems to inform design decisions, like the most effective heating installation for a building. Tech for systems modeling Examples using systems modeling Coffee Optimization, How to Get Your Cup of Joe Just Right Deriving Transfer Equations of Active Filters with the Wolfram Language Measurement and Visualization of Energy Production "Solar Heaters" Topology Optimization in Stress-Strain Problem	Statistical Distributions Fit historic data to parametric distributions to make inferences about the underlying events, such as the likelihood of a customer clicking through an ad. Tech for statistical distributions Examples using statistical distributions Pairs Trading with Copulas Affordable Care Act: An Experiment on Possible New Regulations Predictive Analytics in Finance	Random Processes Model the progression of a system over time to make observations and predictions about its behavior, such as analyzing peak hours at a particular store location. Tech for random processes Examples using random processes How to Win at Risk: Exact Probabilities Inflation Forecasting with SARIMA Modeling
Optimization Use high-level mathematics to discover the "best values" for your data in relation to key criteria, such as the ideal allocation of portfolio assets. Tech for optimization Solve Bus-Routing Problem with a Single Destination and Multiple Depots? Coffee Optimization, How to Get Your Cup of Joe Just Right Topology Optimization in Stress-Strain Problem	Morphological Analysis Use geometric transformations on images and higher-dimensional data to analyze spatial properties, such as counting particles in a microscopic image. Tech for morphological analysis Examples using morphological analysis Computational Microscopy with the Wolfram Language Slicing Silhouettes of Jupiter: Processing JunoCam Images Topology Optimization in Stress-Strain Problem Classifier for Images of Clouds	Computer Vision Process visual data with machine learning and other sophisticated algorithms for analysis of features and patterns, such as identifying road hazards from a video feed. Tech for computer vision Examples using computer vision Walking the Dog: Neural Nets, Image Identification and Geolocation Classifying Japanese Characters from the Edo Period Classifier for Images of Clouds Facial Emotion Recognition Hand Gesture & Sign Language Recognition
Signal Processing Process and filter images, audio and other collected data to analyze underlying patterns, such as detecting an irregular heartbeat from an ECG. Tech for signal processing Examples using signal processing How to Use Your Smartphone for Vibration Analysis, Part 1: The Wolfram Language How to Use Your Smartphone for Vibration Analysis, Part 2: The Wolfram Cloud Slicing Silhouettes of Jupiter: Processing JunoCam Images	Custom Interface Construction Make interactive onscreen controls for real-time adjustment of parameters in analyses and visualizations, allowing deeper exploration of data. Tech for custom interface construction Eliza and Chat-Bots A Basic NLP Application with Classify	Parallel Computing Distribute parallel tasks to available computation units for large-scale scientific computing and other high-performance applications. Tech for parallel computing Examples using parallel computing
Geocomputation Use precise geolocation data and powerful geodetic computations to accurately examine real-world situations, such as visualizing optimal routes for a bus service. Tech for geocomputation Examples using geocomputation Double Eclipse! Or Why Carbondale, Illinois, Is Special Get Ready for the Total Solar Eclipse of 2017 Walking the Dog: Neural Nets, Image Identification and Geolocation The Voters Have Spoken—But What Did They Say? (Part 2) Identification & Graph Structure of Rivers	Mathematical Modeling Drive systems of differential equations, recurrence relations and symbolic formulas with your data to test and refine models, such as computing the recovery rate of an epidemic. Tech for mathematical modeling How Laplace Would Hide a Goat: The New Science of Magic Windows Affordable Care Act: An Experiment on Possible New Regulations Analysis of Rates of Murder by Firearms in the US

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How It Works in the Wolfram Language

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Quick Examples to Try

Recognizing Handwritten Digits

Machine learning • Classification • Data analysis & visualization • Data Repository • Image processing

Visualize Celebrity Gossip

Graph analysis • Data analysis & visualization • Correlation • Data import • Semantic interpretation

Deploy an Age-Guessing Website

Interactive deployment • Cloud • Knowledgebase • Semantic interpretation

Analyze Meteorite Landings

Data analysis & visualization • Geographics • Data Repository • Import • Semantic interpretation

Classify Images as Day or Night

Machine learning • Classification • Data analysis & visualization • Image processing

Featured Examples

Visualization and Analysis of Runkeeper Statistics

IoT • Wearables • Data analysis & visualization • Geographics • Data import • Semantic interpretation

Simulating a Global Ebola Outbreak

Epidemiology • Data visualization • Predictive analysis • Semantic interpretation • Geographics

Finding Real Answers with Computational Lexicology

Lexicology • Data analysis & visualization • Linguistics • Graph analysis • Semantic interpretation

Cleaning and Structuring Large Datasets

Web scraping • Import • Semantic interpretation • Data wrangling • Data analysis & visualization

Exploratory Analysis for Safe Drinking Water Data Challenge

Machine learning • Data analysis & visualization • Geographics • Open data • Semantic interpretation

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The Wolfram Edge

Wolfram technology can fully replace, act as a hub for or simply integrate with a wide range of different software packages and turn-key solutions across all areas of the data science lifecycle, encompassing a sum of their functionality and surpassing their combined utility thanks to uniquely integrated architecture. This is a guide to the elements of the Wolfram data science technology stack and how they relate to traditional software types.

Machine Learning

Advanced automated machine learning meets the power of symbolic computation

Wolfram has pioneered highly automated multiparadigm machine learning—and deeply integrated it into the Wolfram Language—making state-of-the-art machine learning in a full range of applications accessible to entry-level self-service analysts and researchers alike.

Wolfram machine learning immediately fits into your existing workflows, allowing you to easily add machine learning anywhere, through platform-agnostic instant model deployments or by exporting neural nets to run standalone in separate programs or on separate hardware. Moreover, with Wolfram's breakthrough symbolic framework, neural nets become uniquely modular, manipulable and adaptable for future advancements.

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Data Analysis & Visualization

Broadest analysis & visualization toolset with built-in computational intelligence

Wolfram's uniquely integrated technology stack allows the creation of fully interactive visualizations that provide a new level of dynamic experience for exploring data, adding them directly into documents and deploying to virtually any platform of any scale, all from within one unified environment.

Drawing on by far the broadest array of sophisticated numeric, geometric and discrete functions, meta-algorithms in the Wolfram Language automatically select optimal specific algorithms to use in each unique situation—enabling questions-driven workflows—unattainable by disparate solutions that are built around toolset-driven approaches.

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Statistical & Numerical Analysis

Largest collection of built-in statistical functions with the reliability of arbitrary-precision numerics and symbolic analysis

Wolfram dramatically raises the bar for statistical computation—making possible a vastly higher level of integration of the complete analysis workflow, as well as providing major extensibility beyond the specific functions implemented in particular statistical systems.

With its multiparadigm approach, the Wolfram Language immediately allows a much higher level of computation—routinely handling data with arbitrarily general structure, validating and extending numerical precision, directly manipulating formulas and equations symbolically, automatically selecting optimal algorithms and integrating active computation and interfaces into presentation-quality documents.

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Database Connectivity & Data Processing

Seamless database connectivity & format-agnostic, content-aware data importing & processing

The symbolic character of the Wolfram Language allows it to support an exceptionally flexible and general approach to structured datasets. Unifying both relational (SQL-like) and hierarchical (no-SQL) standards, the Wolfram Language incorporates a new kind of uniquely powerful data query language—with seamless scaling from direct in-memory computation to computations backed by external files or databases.

Though not a typical database technology, the Wolfram technology stack achieves the status of the world's richest environment for processing and transforming data by providing immediate import in hundreds of standard and specialized formats and native connectivity to external databases and web data sources.

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Development Environment & Language

The most powerful notebooks meet the most advanced programming language

The Wolfram Language allows programmers to operate at a significantly higher level than ever before by leveraging built-in computational intelligence that relies on a vast depth of algorithms and real-world knowledge carefully integrated over three decades. The Wolfram Language also avoids the shortcomings of traditional computer languages of applying the same programming style to every problem by simultaneously supporting both symbolic and numeric methodologies as well as multiple programming paradigms, such as procedural, functional, rule-based, pattern-based and more.

Specialized software and add-on toolboxes discourage the creative exploration of new ideas and areas. You shouldn't need one program to process your data, another to analyse it and a third to interactively present it. Thanks to native integration with the Wolfram Language, Wolfram Notebooks do everything in a single workflow, keeping all elements of a project—calculations, visualizations, data, documentation and even interactive applications—together, in uniquely flexible documents.

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Deployment & Publishing

Scalable, cross-platform, enterprise-grade deployment & fully interactive publishing

Wolfram's technology stack is unique in automating the process of deploying functionality across the diverse technologies of the modern computing marketplace.

Create your material once, then use the built-in Wolfram Universal Deployment System to automatically deploy it—as a secure high-volume service, a polished end-user product, an autogenerated interactive report or a flexible software component—across cloud, desktop, server, mobile and embedded systems.

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Sample Industry Use Cases Powered by Wolfram Data Science

Enterprise
Forecasting &
Reporting

Product
Recommendation
System

Chatbot Training &
Deployment

Automated Product
Sorting

Optimizing Analysts' Productivity with Data: Delivering Unique Analysis, Unique Interfaces and Unique Insights

Data sources: internal, external, streaming, etc.

1

Import and enrich data

Wolfram Language

Database Connectivity

Wolfram Knowledgebase

Knowledge Representation & Access

2

Preprocess, explore and clean the data

Wolfram Language

Handling Arrays of Data

Wolfram Algorithmbase

Data Transforms and Smoothing

3

Train TimeSeries forecasting models

Wolfram Language

Machine Learning

Neural Networks

Wolfram Algorithmbase

Feature Detection

Time Series Processing

4

Deploy as autogenerated quarterly report and API

Wolfram Language

Cloud Functions & Deployment

Creating Instant APIs

Wolfram Notebooks

Creating Form Interfaces & Apps

Low-Level Notebook Programming

Wolfram Natural Language Understanding

Free-Form & External Input

Instant API

Cloud/Desktop/Mobile Dashboard

Live Presentation Document

Natural Language Querying of Live Data & Insights

Augmenting E-commerce Recommendation Systems with Personal and Real-World Event Data

Data sources: Databases with historic customer purchase data

1

Import data

Wolfram Language

Database Connectivity

Wolfram Knowledgebase

Knowledge Representation & Access

2

Preprocess and prepare the data

Wolfram Language

Handling Arrays of Data

Wolfram Algorithmbase

Data Transforms and Smoothing

3

Train machine learning models for purchase habits

Wolfram Language

Machine Learning

Neural Networks

Wolfram Algorithmbase

Feature Detection

Cluster Analysis

4

Deploy recommender models as APIs to integrate into eCommerce solution

Wolfram Language

Cloud Functions & Deployment

Creating Instant APIs

Wolfram Notebooks

Instant API

Supercharging Chatbots with Real-World Knowledge to Optimize Effectiveness of Customer Support Teams

Data sources: Data store with support materials & customer interaction records

1

Import and enrich data

Wolfram Language

Database Connectivity

Wolfram Knowledgebase

Knowledge Representation & Access

2

Preprocess & transform data into a structured form for chatbot training

Wolfram Language

Reading Textual Data

Wolfram Algorithmbase

Text Manipulation

3

Build a knowledge graph & train a conversational bot using an NLU toolset

Wolfram Language

Machine Learning

Neural Networks

Wolfram Algorithmbase

Feature Detection

Graph Components and Connectivity

Wolfram Natural Language Understanding

Linguistic Data

4

Deploy a conversational bot & knowledge graph APIs for messaging platforms

Wolfram Language

Cloud Functions & Deployment

Creating Instant APIs

Wolfram Notebooks

Creating Form Interfaces & Apps

Wolfram Natural Language Understanding

Free-Form & External Input

Programmable Linguistic Interface

Instant API

Cloud/Desktop/Mobile App

Automating Quality Assurance on the Factory Production Line: From Image Data to Robotic Arm, All within One Unified Notebook Workflow

Data sources: Data store with training image data

1

Import data

Wolfram Language

Graphics Importing & Exporting

2

Preprocess, clean and auto-label the data

Wolfram Language

Image Processing & Analysis

Wolfram Algorithmbase

Segmentation Analysis

3

Train an image recognition neural net for detecting defective products

Wolfram Language

Machine Learning

Neural Networks

Wolfram Algorithmbase

Feature Detection

Computer Vision

4

Deploy models as APIs to integrate with a live CCTV feed & a sorting robotic arm

Wolfram Language

Cloud Functions & Deployment

Creating Instant APIs

Sharing & Embedding Content

Wolfram Notebooks

Creating Form Interfaces & Apps

Instant API

Cloud/Desktop/Mobile Dashboard

Embedded App

Resources for Wolfram Data Science

Language Reference

In Action

Videos and Courses

From the Community

Data Science Technical Consulting

At Wolfram, we know what's possible with computational technology because we are global leaders in creating it. That gives us an unprecedented depth of expertise in applying it to consulting work in a variety of fields. Let our computation experts help you with your project—any size, any level.

Improving Management Processes Operations Research

Reducing Hazardous Accidents Industrial Engineering

Analyzing Energy Production Potential Civil Engineering

Segmenting Microscopic Images Image Processing

Talk to our experts about custom solutions

"The Wolfram Language is my Swiss Army Knife, because everything is packaged in one place. I have visualization and data analysis in just one tool."

Rodrigo Murta, Manager of Retail Intelligence
St. Marche Supermarkets

"We chose Mathematica really because of three key things for us: speed, power and flexibility."

George Danner, President
Business Laboratory, LLC

"There's some good magic going on in that neural networks algorithm..."

Mike Foale, CEO
FOALE AEROSPACE, Inc. and former NASA astronaut

"We're able to do things very quickly with the Wolfram Language, with some tasks taking an order of magnitude longer in other systems. And with the range of functionality covered, I haven't come across something yet that the Wolfram Language hasn't been able to help me do."

Andrew Yule, Technology Manager
Assured Flow Solutions

"By leveraging the full spectrum of methods and tools available, we constantly surprise clients with key insights in areas they hadn't considered."

Jon McLoone, Director of Technical Communication & Strategy
Wolfram Research, Inc.

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