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샘플링 실험: logits → 토큰

재현 가능한 로컬 분포에서 temperature, top-k, top-p를 테스트합니다.

Study guide & lesson outlineLEARNING CONTRACT

Understand → implement → investigate

Goal: explain the mechanism in this lesson, reproduce one example and test a failure case. Reading alone does not mark mastery.

01설정

02입력 추가

설정 후 예제를 불러오거나 입력을 붙여 넣으세요.

03결과 확인

설정 후 예제를 불러오거나 입력을 붙여 넣으세요.

화면은 일부만 표시할 수 있으며 JSON 보고서는 전체 계산 결과를 포함합니다.

결과 해석

CSV는 token,logit이며 라벨은 고유하고 비어 있지 않아야 합니다. logit은 −10,000~10,000의 유한 수입니다. 온도, top-k, top-p 순서로 적용하고 필터마다 재정규화합니다. 온도 0은 탐욕 선택이며 동점은 입력 순서입니다. 고정 시드 범주형 샘플러로, 실제 모델이 아닙니다. 최대 100후보와 10,000회.

방법 참고 자료

MATHEMATICAL REVIEW · 2026-10-26

Assumptions, implementation & acceptance

Filtering order is temperature, top-k, then top-p and renormalization. Entropy is in bits. Temperature zero is explicitly greedy; stochastic draws depend on the seed.

Reviewed counting units, statistical assumptions and numerical examples. Provider accounting and actual GPU allocation still require external measurement.

Logits / temperature → Top-k → top-p filtering → Renormalize retained probability → Seeded draws → measured frequencies
Mechanism map: follow the transformations from top to bottom.

Before running: predict a boundary case

Filtering order is temperature, top-k, then top-p and renormalization. Entropy is in bits. Temperature zero is explicitly greedy; stochastic draws depend on the seed.

Hint: isolate the assumption

Keep the baseline input fixed, change one parameter or boundary, and compare both the numerical result and the claimed units. A passing example verifies this fixture only.

Minimal executable example

Save the example and linked modules in one folder. Use Node.js 22 or newer, then run node sampling-lab.mjs. npm install gpt-tokenizer@4.1.0

import {encode as rawEncode} from 'gpt-tokenizer/encoding/cl100k_base';
import {promptDiff,inspectDataset,chunkDocument,compareScores,estimateVRAM,samplingLab,speculativeLab} from './research-core.mjs';
const encode=s=>rawEncode(s,{disallowedSpecial:new Set()});
const result=samplingLab('token,logit\na,0\nb,0',1,0,1,10000,42);
console.log(result.entropy); // 1 bit; observed frequencies only approximate 0.5

Test and transfer

Filtering order is temperature, top-k, then top-p and renormalization. Entropy is in bits. Temperature zero is explicitly greedy; stochastic draws depend on the seed.

Record input, code version, expected result and observed result in the notebook below. Then construct a counterexample that violates the assumption above and explain why the original conclusion no longer follows.

Download complete kit (.tar.gz) · Complete reference kit and regression checks

Predict, test and keep evidence

Before revealing an answer, predict one result. After the exercise, record the discrepancy and a transfer test. Saved locally across language editions.

Open notebook / export / clear →

The mathematical review scope is recorded per lesson. It does not establish empirical paper reproduction; report suspected errors in your notes. Review scope