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Reasoning through a chain-brief (Cotton) – the process that will break equads to “love” thoughts of the most recent part of large language modules (LMS).
However, the equalness costs can stack the moods quickly as the models are to generate pothestoms. In a New PaperCarnegie Medalon University's University will recommend LLll Training Procedure to increase the more control of developers over for the opportunity.
The public properly called “LCPO), the method of appointed the model to give correct answers within a pre-set-identified budgeted buddy. Expents show that the modules are trained on LCO to provide common affirmation between accuracy and expenses and are most likely to make greater modules. LCO can help with campaignial charges by saving thousands of marks in each dialogue round a lm.
LLA's performance leads to short coats
Reasonable models like Openi O1 and Deepseek-r1 Training through learning relevance (RL) for use Schouched Test time and generates cotton marks before responding. Empiristical evidence shows when models are “longer, tend to perform better of reasoning task.
For example, R1 was first trained on RL true without human difficulties. One of its review was in the extent of the module, also studying the symbols of a corporate body.
Although there are generally, far organized from leading world-global responses, they also create a bottle for using reasoning models at a scale. The current budget is not limited to the layout to tens of thousands of marks. There are some attempts to control the length of reasonable chains, but they usually decrease the model.
An explanation of all described (LCPO) described
The classic method RL trained Llms only to achieve the correct answer. LCPO changes this agency by including two training objectives: 1) Get the correct product and 2) the cot lane which is tied in a particular token token. So if the model brings the correct answer but generates too few marks, and it is available to be made of smaller answer.
“LCO training modes learn to satisfy long limit as they achieve reasonable performance,” the researchers write.
They suggest two plows of lcpo: (1) lcpo, which requires the reason to generate the target length, and (2) lcpool.
To test the procedure, the researchers moved well – the researchers paid well – the researchers of modeling a 1.5b-r1-1.5b) was paid on the S1-Max and L1-authenticated models. A mathematical difficulties with specific and verification of outcomes. However, the evaluation included mathematical problems in addition to actions such as the big multiasask understanding (Mml) Invention and the Referement of Referete-Protection – Appendix Q & DateGPQ).
Their conclusions demonstrates that fairness procedures can be balanced, improving a smooth interaction between short, affordable, reasonable, reasonable, reasonable, reasonable, reasonable rational reason. Importantly, on some tasks, the L1 modules can be replicated from the initial symbol at a lower mark budget.

Comparison with S1 – the only way to restrict cotton restrictions at different budgets performance with clinic achievements.
“This big difference can be taken due to two major reasons,” the researchers are writing. “(1) L1 AC1 changes its cot to convey a reasonable long rates, and S1 will be affected by L1.”
L1 also produces his unreasonable installation or their unreasonable peers at 5% and Gpt-4O-4O-4O Full-4O length. “In terms of our knowledge, it is the first presentation that model 1.5b can use final modules,” in spite of the same generic models, “the researchers are written.
Interactively, Both of the model indicates a change to change their reasoning process based on her token budget. For example, the model of the modern budgets, the modern modernization is more likely to breathe to breathered to meat and verification (that is “and”.

Beyond better control in the reasonable standard, the L1 modules produce actions set out, including GPQA and MML.
This new report can change the modules of their reasonable buddines, enables references to raping models of scale modelings. It's a powerful choice by using larger, more expensive features in bringing more than economic circumstances.
The researchers have opened the LCO code and the weights for the l1 modules.
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