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arXiv:2510.00931 ★ 82 Oct 1, 2025

FusioN (Fusion-of-N): Synthesis Instead of Selection, a New Way to Aggregate LLM Answers

Key result

Best-of-N picks a winner and throws the rest away. The problem: it's a zero-sum game. Answer quality is polylithic: one variant is great at financial analysis, another at marketing, a third at risks. Picking one = losing the rest. FusioN lets you merge the strengths of all N variants into one final answer. The method uses a fusor model as a judge-synthesizer: it sees all the variants, pulls out the best fragments of each and writes a new text. The result can beat even the Oracle (the best answer in the original pool).

01

TL;DR

FusioN is a method for aggregating multiple LLM answers through synthesis rather than selection. Instead of picking the best of N candidates (Best-of-N), a fusor model writes a brand-new answer that merges the strengths of every candidate. It works in two scenarios: (1) test-time scaling: generate N answers from one model and synthesize the final one; (2) synthetic data: take answers from several different teachers and build a training dataset.

Main finding: Picking the best is a zero-sum game. One candidate wins, the rest get tossed. The catch is that answer quality is polylithic: every candidate has strong parts and weak parts. One answer might nail the financial side of the question, another the marketing side, a third the risks. Best-of-N has to take one answer wholesale and lose the rest. On top of that there is the risk of reward hacking: the reward model may pick the answer that maximizes its imperfect metric rather than the one that is actually best.

How the method works: FusioN uses a strong LLM (the fusor) as a judge-synthesizer. The fusor sees all N candidates at once, compares them, pulls out the best fragments of each and writes a new final answer. It is a single-step process: one prompt to the fusor with all candidates as input. The result can beat even the best answer in the original pool (the Oracle), because it combines everyone's strengths.

Want this for your own case? Apply this study to your task: AI adapts its method to what you are working on and writes the prompt.

02

Method Blueprint

STEP 1: Build the candidate pool
├─ Test-time: N samples from one model (temperature > 0)
└─ Synthetic data: 1 sample each from N different teachers

STEP 2: Synthesis (in a single prompt)
└─ Fusor receives: {prompt} + {all candidates}
    → Analyzes the strengths/weaknesses of each
    → Writes a new answer that combines the best parts

Important: Both steps can be done in a regular chat: first generate the variants, then hand them to the fusor for synthesis.

03

Example in Action

Task: You are the founder of an EdTech startup, an online SAT prep platform with AI tutors. You need a pitch for your pre-seed round. Instead of one version of the pitch, you generate 3 different angles: (1) market and metrics, (2) technology and product, (3) team and vision. Then you synthesize a final pitch that takes the strongest parts of each.

Prompt to generate the pool:

Write a pre-seed pitch for the startup "SAT.AI", an SAT prep platform with AI tutors.

Variant 1: Focus on market size, unit economics and growth metrics.
Variant 2: Focus on what makes the technology unique, the product and the UX.
Variant 3: Focus on the team, the vision and the long-term mission.

Each pitch should be 200-250 words.

Synthesis prompt (FusioN):

I have 3 versions of an investor pitch. Your job is to create a final pitch that combines the strengths of each version.

Original request: {paste the SAT.AI task}

Variant 1 (market-driven):
{paste the text of variant 1}

Variant 2 (product-driven):
{paste the text of variant 2}

Variant 3 (vision-driven):
{paste the text of variant 3}

Analyze what each variant does well and what could be improved. Then write a final pitch (~250 words) that:
- Takes the most persuasive arguments from each variant
- Drops weak or repetitive points
- Builds a coherent narrative that works better than any of the three variants on its own

The final pitch must read as one cohesive text, not a patchwork of fragments.

Result:

The fusor will analyze all three pitches and pull out:

  • From variant 1: concrete market numbers (N million high school students, average order value, CAC/LTV)
  • From variant 2: a description of the unique technology (ML-driven personalization, adaptive practice problems)
  • From variant 3: a strong vision (democratizing high-quality education)

The final synthesized pitch weaves these elements into one coherent text that is stronger than any of the originals. Instead of three lopsided pitches you get one balanced pitch that sells the market, the product and the vision.

04

Why It Works

The LLM weakness: When generating a long answer to a complex prompt, a model cannot cover every aspect equally well. It makes trade-offs, focusing on some details at the expense of others. As a result, different samples (at temperature > 0) cover different facets of the problem. That is exactly why Best-of-N works at all: some variants turn out better than others.

The LLM strength: Modern large models are excellent at comparative analysis: they can evaluate several texts, list the pros and cons of each and see where one text beats another. This is a core capability of modern LLMs as judges.

How the method leverages that strength: FusioN gives the fusor a task of synthesis (polylithic evaluation) instead of selection (monolithic quality scoring). The fusor sees all variants at once, picks the best fragments of each (not whole answers) and writes a new text. Because quality is polylithic (different parts of different answers are good), the synthesis can beat any original variant.

Control knobs:

  • N (number of candidates): 2-5 for simple tasks, 5-10 for complex ones. More = pricier, but more diverse.
  • Sampling temperature: 0.7 for balance, higher for creative tasks, lower for factual ones.
  • Instructions to the fusor: You can ask it to "keep the style of variant 2" or "prioritize accuracy over creativity".
  • Output format: "No explanations" for a clean result, or "Show your reasoning" to see how the fusor made its choices.
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Prompt Template

I have {N} candidate answers to a request. Your job is to create a final answer that combines the strengths of each candidate.

Original request: {task description}

Variant 1:
{text of variant 1}

Variant 2:
{text of variant 2}

[... remaining variants]

Variant N:
{text of variant N}

Analyze what each variant does well and what could be improved. Then write a final answer that:
- Takes the highest-quality elements from each variant
- Drops weak, repetitive or incorrect points
- Produces a coherent result that works better than any single variant on its own

{extra format/style requirements, if any}

How to fill it in:

  • {N}: the number of variants (usually 3-5)
  • {task description}: the original prompt the variants were generated for
  • {text of variant X}: each generated variant in full
  • {extra requirements}: for example, "The final answer must be no longer than 300 words" or "Keep the formal tone of variant 1"
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Limitations

⚠️ Fusor size matters: Small models (4B-8B) are bad at synthesis. It works well with models from 27B up, even better at 111B+. For test-time scaling with a small model, stick with classic Best-of-N.

⚠️ Not for every task: On strictly formal tasks (math with a single correct answer) FusioN shows mixed results. It shines on open-ended tasks where there is room to combine different approaches: writing, analysis, translation, reasoning.

⚠️ Pool quality matters: If all variants are weak or nearly identical, synthesis won't help. The method pays off when there is diversity in the pool. For synthetic data, use different teachers; for test-time scaling, sample at temperature > 0.

⚠️ Language imbalance: The fusor may do worse in languages it supports poorly. The study saw the best results in English. For other languages, make sure the fusor is strong enough in that language.

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How They Tested It

A team from Cohere Labs ran a large-scale evaluation of FusioN vs Best-of-N in two main scenarios.

Test-time scaling: They took two models, Aya Expanse 8B and Command A 111B. For each prompt they generated N=5 variants at temperature 0.7. For Best-of-N, a strong reward model picked the winner. For FusioN, Command A served as the fusor. They tested 11 languages across three tasks: Arena (open-ended prompts), WMT (translation) and GeoFactX (reasoning).

Synthetic data generation: They assembled a pool of 5 strong open models of different sizes: Gemma3-27B, Kimi-K2, Qwen3-235B, DeepSeek-V3, Command A. For each of 10k prompts (translated into 9 languages) they took one answer from each teacher. Then they applied either Best-of-N (selection via RM) or FusioN (synthesis via Command A). The resulting data was used to fine-tune a 111B student model, and the fine-tuned models were evaluated on the same benchmarks.

Why the results came out this way: FusioN consistently beat BoN: on Arena by +2.5% win-rate on average, on translation by +0.8 XCometXL. The most interesting part: in some cases FusioN surpassed the Oracle (the best answer in the pool by the ground-truth metric). For example, on the de, ru and zh translation directions FusioN produced an answer better than any of the original 5 variants. That backs the central claim: selection is not the upper bound, synthesis can go further.

The surprise: Even when the teacher pool was weakened (a strong model swapped for a weak one), FusioN stayed more robust than Best-of-N. When one teacher was removed (4 instead of 5), BoN dropped harder. This shows that FusioN makes better use of diversity, even when individual contributors are weak.

Practical insight: The method is more sample-efficient: FusioN with N=2 gives the same gain as BoN with N=4. So for the same budget (in tokens), FusioN squeezes out more. Especially valuable when resources are tight.

08

Adaptations and Extrapolations

💡 Adaptation: different roles instead of different models

If you don't have a pool of different models, you can use one model in different roles:

Write 3 versions of a review of the book "{title}":

Variant 1: as a literary critic (focus on style, structure, language)
Variant 2: as a reader from the target audience (emotions, engagement, usefulness)
Variant 3: as a professional editor (weak spots, what could be improved)

Then:
[paste the FusioN template above]

Each role nudges the model toward different aspects, and the synthesis gives you a balanced review.

💡 Adaptation for B2B sales copy

Example: writing a sales proposal:

Write 3 versions of a sales proposal for a B2B client (an analytics service for Amazon sellers):

Variant 1: Straightforward: hard ROI numbers, case studies, guarantees
Variant 2: Expert: a deep dive into the client's problem, market insights
Variant 3: Emotional: a success story, how the client's business gets transformed

[Then synthesize with FusioN]

🔧 Technique: controlling how much to synthesize

You can control how aggressively the fusor should synthesize:

For conservative synthesis (minimal changes):

Write the final answer while preserving the original variants' wording as much as possible.
Combine their fragments as-is, editing only the seams between them.

For aggressive synthesis (create something new):

Do not copy fragments verbatim. Take the ideas from each variant 
and rewrite the final answer entirely in your own words, weaving those ideas together.

💡 Extrapolation: cascaded FusioN for very complex tasks

For tasks that need many different perspectives (say, a one-year product strategy):

Step 1: Generate N=5 variants with different focuses
Step 2: FusioN produces a first version
Step 3: Generate N=3 more alternative takes on the result of step 2
Step 4: A final FusioN combines the version from step 2 with the alternatives from step 3

This gives you two-level synthesis: first a baseline merge, then refinement through fresh perspectives.

09

Resources

Making, not Taking, the Best of N by Ammar Khairi, Daniel D'souza, Marzieh Fadaee, Julia Kreutzer (Cohere Labs)

Data and evaluations: The team published the synthetic datasets and pairwise evaluations on HuggingFace:

  • CohereLabs/fusion-synth-data-ufb
  • CohereLabs/fusion-synth-data-geofactx
  • CohereLabs/fusion-pairwise-evals-test-time-scaling
  • CohereLabs/fusion-pairwise-evals-finetuned

Research digest

Key result

Best-of-N picks a winner and throws the rest away. The problem: it's a zero-sum game. Answer quality is polylithic: one variant is great at financial analysis, another at marketing, a third at risks. Picking one = losing the rest. FusioN lets you merge the strengths of all N variants into one final answer. The method uses a fusor model as a judge-synthesizer: it sees all the variants, pulls out the best fragments of each and writes a new text. The result can beat even the Oracle (the best answer in the original pool).

Principle

Generate N different answer variants → hand all of them to a strong LLM (the fusor) in one prompt → the fusor analyzes what each does well → writes a final answer that takes the best from every variant. It's a single-step process: one prompt with all candidates as input. You can do it right in a regular chat: first generate 3-5 variants, then feed them to the fusor for synthesis.

Why it works

An LLM makes trade-offs when generating a long answer, focusing on some details at the expense of others. Different samples cover different facets of the problem. Modern large models are excellent at comparative analysis: they can evaluate several texts, spot the pros of each and see where one beats another. FusioN exploits this strength: instead of picking a whole answer (monolithic evaluation) it assigns a synthesis task (polylithic evaluation). The fusor picks the best fragments of each variant and weaves them into a new text.

When to apply

Open-ended tasks with room to combine different approaches → writing, analysis, strategic reasoning, translation. Especially when you need a balanced result (an investor pitch balancing market/product/vision, an article that tackles a problem from several angles). NOT a fit for strictly formal tasks with one correct answer (math, code), where results are mixed.

Mini recipe

1. Build a pool of variants: Generate 3-5 answers to the task. Either with temperature > 0.7 from one model, or by explicitly asking for different approaches (e.g. `Variant 1: focus on numbers, Variant 2: on the concept, Variant 3: on risks`) 2. Synthesize with a fusor: Give a strong model (27B+, ideally 70B+) the prompt: `I have {N} candidate answers. Analyze what is good in each, then write a final answer that combines the best elements of all variants`. Paste the original task + all variants 3. Tune it to the task: Add format/style requirements if needed (`The final answer must be no longer than 300 words` or `Keep the formal tone of variant 1`)

Examples

[BAD]: `Write a pitch for the startup SAT.AI, AI tutors for SAT prep` (one variant, most likely lopsided) [GOOD]: First generate 3 variants: `Write 3 pitches for SAT.AI. Variant 1: focus on market and metrics. Variant 2: focus on technology and product. Variant 3: focus on team and vision. Each 200-250 words` Then synthesize: `I have 3 versions of a pitch. Analyze the strengths of each, then write a final pitch that combines the best: the compelling market numbers from variant 1, the unique technology from variant 2, the strong vision from variant 3. The final text must be coherent, not a patchwork of fragments` Result: a balanced pitch that sells the market, the product and the mission, stronger than any of the three on its own

In plain words

Here's the deal: when today's models try to produce a complex answer, they constantly make compromises. A model can't simultaneously write flawless code, sprinkle in sharp wit and stick to a strict format; it will drop the ball somewhere, trading one thing for another. The FusioN method changes the whole logic of working with outputs: instead of hunting for the "least bad" option in a pile of attempts, it makes the AI act as a smart aggregator that assembles the perfect puzzle out of pieces from different answers.

Picture hiring three designers to make a logo, and instead of picking one and disappointing the other two, you take the font from the first, the color palette from the second and the killer icon idea from the third. Technically you didn't pick a winner; you created a super-result none of them would have produced alone. That's the beauty of it: we stop playing the "will this generation be lucky" lottery and start doing synthesis of ideas.

Technically it works in two scenarios: either you grind one model into producing ten versions of an answer, or you take one answer each from different "teachers" like GPT-4 and Claude. Then the fusor model steps in and sifts through that pile of text. It sees that the first variant has a great structure, the second has precise numbers and the third has the right tone, and it stitches them into one final artifact. That turns the number of attempts into real quality instead of just a statistical chance of success.

You can use this anywhere the cost of a mistake is high and the task is hard. It was tested on code and text generation, but the principle is universal: from writing a go-to-market strategy to building training datasets. Where we used to just hope one of ten variants would be decent, now we take the best of each, producing content that's head and shoulders above any single source. The old Best-of-N approach is on its way out, making room for smart assembly.

Bottom line: stop burning tokens on endless rerolls hoping for a miracle. Build in synthesis mechanics, where the model acts not just as a generator but as an editor-compiler. FusioN proves the whole can be greater than the sum of its parts if you know how to put them together. Whoever learns to synthesize answers instead of just picking them gets a multiplied jump in quality without swapping the model for a pricier one.

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Based on FusioN (Fusion-of-N): Synthesis Instead of Selection, a New Way to Aggregate LLM Answers arXiv:2510.00931

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