Publications (11)
Gemma 2: Improving Open Language Models at a Practical Size
Gemma Team, Morgane Riviere, Shreya Pathak +195
In this work, we introduce Gemma 2, a new addition to the Gemma family of lightweight, state-of-the-art open models, ranging in scale from 2 billion to 27 billion parameters. In th…
Gemini 1.5: Unlocking multimodal understanding across millions of tokens of context
Gemini Team, Petko Georgiev, Ving Ian Lei +1132
In this report, we introduce the Gemini 1.5 family of models, representing the next generation of highly compute-efficient multimodal models capable of recalling and reasoning over…
CodeGemma: Open Code Models Based on Gemma
CodeGemma Team, Heri Zhao, Jeffrey Hui +24
This paper introduces CodeGemma, a collection of specialized open code models built on top of Gemma, capable of a variety of code and natural language generation tasks. We release…
Correlation length of the two-dimensional random field Ising model via greedy lattice animal
Jian Ding, Mateo Wirth
For the two-dimensional random field Ising model where the random field is given by i.i.d.\ mean zero Gaussian variables with variance , we study (one natural notion of) the…
Tree-Structured Boosting: Connections Between Gradient Boosted Stumps and Full Decision Trees
José Marcio Luna, Eric Eaton, Lyle H. Ungar +7
Additive models, such as produced by gradient boosting, and full interaction models, such as classification and regression trees (CART), are widely used algorithms that have been i…
Gemma: Open Models Based on Gemini Research and Technology
Gemma Team, Thomas Mesnard, Cassidy Hardin +105
This work introduces Gemma, a family of lightweight, state-of-the art open models built from the research and technology used to create Gemini models. Gemma models demonstrate stro…
Crossing estimates from metric graph and discrete GFF
Jian Ding, Mateo Wirth, Hao Wu
We compare level-set percolation for Gaussian free fields (GFFs) defined on a rectangular subset of to level-set percolation for GFFs defined on the corresponding…
Maximum of the integer-valued Gaussian free field
Mateo Wirth
We investigate the order of the maximum of the integer-valued Gaussian free field in two dimensions, and show that it grows logarithmically with the size of the box. Our treatment…
Gemini 2.5: Pushing the Frontier with Advanced Reasoning, Multimodality, Long Context, and Next Generation Agentic Capabilities
Gheorghe Comanici, Eric Bieber, Mike Schaekermann +3431
In this report, we introduce the Gemini 2.X model family: Gemini 2.5 Pro and Gemini 2.5 Flash, as well as our earlier Gemini 2.0 Flash and Flash-Lite models. Gemini 2.5 Pro is our…
Gemini: A Family of Highly Capable Multimodal Models
Gemini Team, Rohan Anil, Sebastian Borgeaud +1340
This report introduces a new family of multimodal models, Gemini, that exhibit remarkable capabilities across image, audio, video, and text understanding. The Gemini family consist…
Percolation for level-sets of Gaussian free fields on metric graphs
Jian Ding, Mateo Wirth
We study level-set percolation for Gaussian free fields on metric graphs. In two dimensions, we give an upper bound on the chemical distance between the two boundaries of a macrosc…