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Jim Simons 的算法如何让你在睡梦中赚钱(量化交易框架详解)

@RitOnchain
ENGLISHJun 06, 2026
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TL;DR

本文将 Medallion Fund 的成功经验拆解为五个技术层面:信号检测、因子建模、马尔可夫状态转换、神经网络以及执行逻辑,并为每一层提供了可运行的 Python 代码。

The most successful hedge fund in history never had a losing year. In 34 attempts. Here's the exact system - every formula, every signal, runnable code.

Spring 1988. A mathematician who spent his career cracking Cold War codes walked into a trading office and did something nobody on Wall Street had ever tried: he fired all the traders and replaced them with signal detectors.

His name was Jim Simons. His fund was called the Medallion. The results: $60 billion in performance fees extracted from markets. $30 billion net worth for Simons alone. 39% annual returns after a 44% performance fee. Zero losing years in 34 attempts.

Every quant on this platform has seen these numbers. Almost nobody knows what is actually running under the hood.

Until now.

LAYER 1: The Signal Detection Engine

Renaissance doesn't trade on news. It doesn't read 10-Ks. Simons' team relies on data-driven methods, using statistical analysis and computational power to identify market inefficiencies - collecting enormous amounts of data and analyzing it to find statistical patterns and non-random events across a wide range of markets.

The first layer is a pattern extractor. Think of it as a seismograph - not reading earthquakes, but reading the invisible tremors in price data that precede large moves.

Here's the Python skeleton:

python
1import numpy as np
2import pandas as pd
3from scipy import stats
4
5def detect_signal(prices: pd.Series, lookback: int = 20) -> dict:
6 returns = prices.pct_change().dropna()
7
8 # Autocorrelation — is today's return predictive of tomorrow's?
9 acf_1 = returns.autocorr(lag=1)
10
11 # Z-score deviation from rolling mean
12 rolling_mean = returns.rolling(lookback).mean()
13 rolling_std = returns.rolling(lookback).std()
14 z_score = (returns - rolling_mean) / rolling_std
15
16 # Hurst exponent — is this series trending or mean-reverting?
17 hurst = compute_hurst(prices.values)
18
19 return {
20 "autocorrelation": acf_1,
21 "z_score_latest": z_score.iloc[-1],
22 "hurst_exponent": hurst, # <0.5 = mean-reverting, >0.5 = trending
23 "regime": "trending" if hurst > 0.55 else "mean_reverting"
24 }
25
26def compute_hurst(ts):
27 lags = range(2, 20)
28 tau = [np.sqrt(np.std(np.subtract(ts[lag:], ts[:-lag]))) for lag in lags]
29 m = np.polyfit(np.log(lags), np.log(tau), 1)
30 return m[0] * 2.0

What this tells you: If hurst < 0.45, the asset is mean-reverting - fades work. If hurst > 0.55, it's trending - momentum works. Medallion switches strategies based on this exact type of regime detection.

LAYER 2: The Factor Model (Why Stocks Move Before Anyone Knows Why)

Serious quant operations pull options chains, order-book depth, fundamental data (earnings, revenue, cash flow), corporate actions, news sentiment, social media volume, and increasingly alternative datasets such as satellite imagery, anonymised credit card transactions, web traffic, app downloads, and shipping container movements.

Renaissance identifies why price moves happen by decomposing returns into factors. The Fama-French 5-factor model is the public version of this. Renaissance's private version goes 200+ factors deep.

python
1from sklearn.linear_model import LinearRegression
2
3def factor_decompose(returns: pd.DataFrame, factors: pd.DataFrame) -> dict:
4 """
5 returns: DataFrame of asset returns
6 factors: DataFrame of factor returns (market, size, value, momentum, etc.)
7 """
8 model = LinearRegression()
9 model.fit(factors, returns)
10
11 alpha = model.intercept_ # Return unexplained by factors = pure edge
12 betas = model.coef_ # Factor exposures
13 r_squared = model.score(factors, returns)
14
15 return {
16 "alpha": alpha, # This is what you're hunting — is alpha > 0?
17 "betas": dict(zip(factors.columns, betas)),
18 "r_squared": r_squared,
19 "edge_quality": "strong" if abs(alpha) > 0.001 and r_squared > 0.3 else "weak"
20 }

High alpha + low R-squared = your edge is not explained by known factors. That's Medallion territory.

LAYER 3: The Markov Chain Regime Machine

One of the most-cited secrets of top quant funds is regime detection - knowing which market state you're in before you trade. Natural Language Processing scans news articles and social media, extracting insights into public sentiment, but the deeper regime signal comes from price structure itself.

Markov Chains model the probability of transitioning between market states:

python
1import numpy as np
2
3# States: 0=Bull, 1=Bear, 2=Stagnant
4# Transition matrix estimated from historical data
5transition_matrix = np.array([
6 [0.78, 0.14, 0.08], # From Bull: 78% stay Bull, 14% go Bear, 8% Stagnant
7 [0.20, 0.68, 0.12], # From Bear: 20% recover, 68% stay Bear, 12% Stagnant
8 [0.25, 0.23, 0.52], # From Stagnant: 25% Bull, 23% Bear, 52% stay
9])
10
11def get_next_regime(current_state: int, steps: int = 5) -> np.ndarray:
12 """Returns probability distribution over states after N steps."""
13 state_vec = np.zeros(3)
14 state_vec[current_state] = 1.0
15
16 for _ in range(steps):
17 state_vec = state_vec @ transition_matrix
18
19 return {
20 "bull_probability": round(state_vec[0], 3),
21 "bear_probability": round(state_vec[1], 3),
22 "stagnant_probability": round(state_vec[2], 3),
23 "dominant_regime": ["Bull", "Bear", "Stagnant"][np.argmax(state_vec)]
24 }

If the model says 76% probability of remaining in Bear regime over the next 5 periods - you're not going long.

LAYER 4: The Neural Network Edge Extractor

AI systems use deep learning to generate and execute trading signals in real-time, with reinforcement learning to continually optimize trading strategies and improve timing for entries and exits.

The neural net layer extracts non-linear relationships no formula can capture:

python
1import torch
2import torch.nn as nn
3
4class QuantEdgeNet(nn.Module):
5 def __init__(self, input_features: int = 50):
6 super().__init__()
7 self.layers = nn.Sequential(
8 nn.Linear(input_features, 128),
9 nn.ReLU(),
10 nn.Dropout(0.2),
11 nn.Linear(128, 64),
12 nn.ReLU(),
13 nn.Linear(64, 3) # Output: [long, short, flat] probabilities
14 )
15
16 def forward(self, x):
17 return torch.softmax(self.layers(x), dim=-1)
18
19# Training signal: combine factor scores + regime probs + raw price features
20def build_feature_vector(prices, factors, regime_probs):
21 signal = detect_signal(prices)
22 return np.concatenate([
23 prices.pct_change().tail(20).values, # Last 20 returns
24 list(factors.values()), # Factor exposures
25 list(regime_probs.values()), # Markov regime probs
26 [signal["hurst_exponent"],
27 signal["z_score_latest"]]
28 ])

The key insight: you're not predicting price. You're predicting probability of direction. Even 52% accuracy - if your Kelly-sized correctly - prints money.

LAYER 5: The Execution Layer (Where 80% of Quants Bleed Out)

Renaissance must have built infrastructure to keep execution costs very low - the reported gross returns are after trading costs, making Medallion's performance even more extraordinary.

Most retail quants blow their edge on execution. The fix:

python
1def kelly_position_size(
2 win_probability: float,
3 win_loss_ratio: float,
4 max_risk_pct: float = 0.02 # Never risk more than 2% per trade
5) -> float:
6 kelly_fraction = win_probability - (1 - win_probability) / win_loss_ratio
7 kelly_fraction = max(0, kelly_fraction) # Never go short Kelly
8 half_kelly = kelly_fraction * 0.5 # Use half-Kelly for safety
9 return min(half_kelly, max_risk_pct) # Hard cap at 2%
10
11def calculate_execution_cost(
12 spread_bps: float,
13 market_impact_bps: float,
14 shares: int,
15 price: float
16) -> float:
17 total_bps = spread_bps + market_impact_bps
18 cost_per_share = price * total_bps / 10_000
19 return cost_per_share * shares
20
21# Only take the trade if edge > execution cost
22def should_trade(edge_bps: float, execution_cost_bps: float) -> bool:
23 return edge_bps > (execution_cost_bps * 1.5) # Require 1.5x cost coverage minimum

THE MEDALLION PLAYBOOK: All 5 Layers

text
1Raw Market Data
2 ↓
3[L1] Signal Detection → Hurst · ACF · Z-score
4 ↓
5[L2] Factor Model → α extraction · β exposure
6 ↓
7[L3] Markov Regime → Bull · Bear · Stagnant
8 ↓
9[L4] Neural Net Edge → Long · Short · Flat
10 ↓
11[L5] Kelly + Execution → Position Size · Cost Filter · Entry
12 ↓
13 Trade / No Trade

Every other quant fund employs thousands. Renaissance has 400 people total, maybe 200 touching the models. Every other fund has multiple competing strategies. Renaissance has one model everyone works on together.

That's the secret nobody talks about: the edge isn't any single formula. It's the pipeline - each layer filters out noise until only statistical certainty remains.

THE NUMBERS DON'T LIE

Most quant strategies die from overfitting. Medallion survives because:

  1. They never show the full system to outsiders - keeping alpha alive
  2. They closed to outside money - preserving capacity
  3. They use half-Kelly - surviving drawdowns that kill over-levered quants
  4. Every signal is out-of-sample tested first - no data leakage

By 2025, more than 75% of US equity trading volume was driven by quantitative or algorithmic systems. The market is quant. Your edge is building the best pipeline.

The code above is your starting point. Every formula is runnable. Every layer is stackable.

Now go build yours.

Thanks for reading, I would appreciate QT !

about me : I am Venus, a Senior Quant Systems Architect and Backend Engineer experienced in building startups from 0→1 and scaling products from 1→100 across AI, cloud, and fintech x defi infrastructure.

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