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Regression on California Housing

0.089MSEMLP
0.0665440.2181220.36970.521278Feb 8, 2025Apr 30, 2025Jul 20, 2025Oct 10, 2025Dec 30, 2025Mar 21, 2026Jun 11, 2026

Evaluation results

MethodLinks
MLPFLOPs=1568, Param=8332025.060.089———
MLP2025.060.089———
NS-TDFLOPs=1568, Param=18572025.060.1005———
NS-TD2025.060.1005———
KANFLOPs=19544, Param=70562025.060.1017———
KAN2025.060.1017———
NS-SRFLOPs=3104, Param=16012025.060.1135———
NS-SR2025.060.1135———
Bw-SQbits=82026.030.169———
Bw-SQbits=52026.030.171———
Bw-SQbits=72026.030.171———
Bw-SQbits=62026.030.173———
LLT4bits=82026.030.184———
Bw-SQbits=42026.030.185———
FPbits=22026.030.186———
FPbits=32026.030.186———
FPbits=42026.030.186———
FPbits=52026.030.186———
FPbits=62026.030.186———
FPbits=72026.030.186———
FPbits=82026.030.186———
LSQbits=82026.030.188———
Pr-QQbits=62026.030.189———
Pr-QQbits=82026.030.189———
LLT9bits=82026.030.191———
Pr-QQbits=72026.030.192———
LLT4bits=72026.030.192———
LSQbits=72026.030.192———
LSQbits=62026.030.195———
LLT9bits=72026.030.196———
LLT4bits=62026.030.197———
LLT9bits=62026.030.197———
Pr-QQbits=52026.030.199———
LLT4bits=52026.030.204———
LSQbits=52026.030.207———
LLT9bits=52026.030.208———
Bw-SQbits=32026.030.21———
Pr-MQbits=82026.030.21———
Pr-QQbits=42026.030.213———
LSQbits=42026.030.216———
LLT4bits=42026.030.219———
LLT9bits=42026.030.222———
Pr-MQbits=72026.030.242———
Offline Random Forest Regression (RFR)Training mode=Offline, Access=Unlimited access to dataset2026.020.253—80.7—
Pr-MQbits=62026.030.254———
LSQbits=32026.030.259———
LLT9bits=32026.030.273———
LLT4bits=32026.030.278———
Pr-QQbits=32026.030.279———
Pr-MQbits=52026.030.279———
Bw-SQbits=22026.030.29———
XGBoostBase Estimator=N/A, Active Est.=100, Comp. Ratio=0.0%, Latency / 1k (ms)=0.512026.060.3021—77.32—
Pr-MQbits=42026.030.326———
Pr-QQbits=22026.030.338———
SCSBBase Estimator=DecisionTree, Active Est.=67, Comp. Ratio=33.0%, Latency / 1k (ms)=11.95 (1.25×)2026.060.3381—74.61—
Lasso-Pruned BaggingBase Estimator=DecisionTree, Active Est.=99, Comp. Ratio=1.0%, Latency / 1k (ms)=17.362026.060.3394—74.52—
Standard BaggingBase Estimator=DecisionTree, Active Est.=100, Comp. Ratio=0.0%, Latency / 1k (ms)=14.972026.060.3424—74.29—
LSQbits=22026.030.356———
Pr-MQbits=32026.030.376———
Proposed (I)Training set size (S)=10002025.020.384——0.346
Random layer insertion (I)Training set size (S)=10002025.020.386——0.35
Net2DeeperNet (II)Training set size (S)=10002025.020.391——0.346
Baseline networkTraining set size (S)=10002025.020.391——0.351
LLT9bits=22026.030.396———
Proposed (II)Training set size (S)=10002025.020.407——0.35
Prototype-based generative replay frameworkConfiguration=Best config, Learning mode=Incremental/Online2026.020.421—67.8—
LLT4bits=22026.030.424———
Forward ThinkingTraining set size (S)=10002025.020.43——0.38
Proposed (I)Training set size (S)=5002025.020.448——0.392
Random layer insertion (I)Training set size (S)=5002025.020.453——0.403
Proposed (II)Training set size (S)=5002025.020.455——0.398
Net2DeeperNet (II)Training set size (S)=5002025.020.455——0.407
Baseline networkTraining set size (S)=5002025.020.481——0.405
Forward ThinkingTraining set size (S)=5002025.020.541——0.44
Pr-MQbits=22026.030.593———
Lasso-Pruned BaggingBase Estimator=Ridge, Active Est.=50, Comp. Ratio=0.0%, Latency / 1k (ms)=1.772026.060.6416—51.82—
Standard BaggingBase Estimator=Ridge, Active Est.=50, Comp. Ratio=0.0%, Latency / 1k (ms)=2.112026.060.6451—51.57—
SCSBBase Estimator=Ridge, Active Est.=10, Comp. Ratio=80.0%, Latency / 1k (ms)=0.51 (4.1×)2026.060.6504—51.16—
ClimplicitProbe=Single-layer2025.04——44.2—
CSPProbe=Single-layer2025.04——50.1—
FS CHProbe=Single-layer2025.04——61.9—
FS LocProbe=Single-layer2025.04——18.9—
FS Loc + CHProbe=Single-layer2025.04——60.3—
GeoCLIPProbe=Single-layer2025.04——58.9—
Hierarchical MCTSBase Model=GPT-4.1-mini2025.11—21.59——
Hierarchical MCTSBase LLM=GPT-4o2025.11—1,710——
LATSBase Model=GPT-4.1-mini2025.11—0——
LATSBase LLM=GPT-4o2025.11—65——
MCTS-OutcomeBase Model=GPT-4.1-mini2025.11—0——
MCTS-OutcomeBase LLM=GPT-4o2025.11—1,435——
MCTS-ShapedBase Model=GPT-4.1-mini2025.11—21.59——
MCTS-ShapedBase LLM=GPT-4o2025.11—1,159——
NASTraining set size (S)=5002025.02———0.395
NASTraining set size (S)=10002025.02———0.347
ReActBase Model=GPT-4.1-mini2025.11—21.59——
ReActBase LLM=GPT-4o2025.11—58——
SatCLIPProbe=Single-layer2025.04——35.2—
SINRProbe=Single-layer2025.04——37.1—
TaxabindProbe=Single-layer2025.04——44.2—