diff --git a/examples/regression_selection_synthetic.py b/examples/regression_selection_synthetic.py
new file mode 100644
index 0000000..252305a
--- /dev/null
+++ b/examples/regression_selection_synthetic.py
@@ -0,0 +1,44 @@
+# Copyright (c) 2023-present, SUSTech-ML.
+# All rights reserved.
+#
+# This source code is licensed under the license found in the
+# LICENSE file in the root directory of this source tree.
+#
+
+
+import torch
+import torch.nn as nn
+import torch.optim as optim
+
+from examples.regression_cqr_synthetic import prepare_dataset
+from torchcp.regression.utils import build_regression_model
+from torchcp.selection.score import RES
+from torchcp.selection.selector import ConformalSelector
+from torchcp.selection.testing_correction import BH_procedure
+
+
+# get dataloader
+train_loader, cal_loader, test_loader = prepare_dataset(train_ratio=0.4, cal_ratio=0.2, batch_size=128)
+# build regression model
+device = torch.device("cuda:0" if torch.cuda.is_available() else "cpu")
+model = build_regression_model("NonLinearNet")(next(iter(train_loader))[0].shape[1], 1, 64, 0.5).to(device)
+
+# train model
+epochs = 100
+criterion = nn.MSELoss()
+lr = 0.01
+optimizer = optim.Adam(model.parameters(), lr=lr)
+
+for tmp_x, tmp_y in train_loader:
+    outputs = model(tmp_x.to(device))
+    loss = criterion(outputs, tmp_y.reshape(-1, 1).to(device))
+    optimizer.zero_grad()
+    loss.backward()
+    optimizer.step()
+
+# Conformal Selection
+thresholds = torch.ones(len(test_loader.dataset)) * 5
+
+selector = ConformalSelector(score_function=RES(), testing_correction=BH_procedure(), model=model)
+selector.calibrate(cal_loader)
+print(selector.select(test_loader, thresholds))
diff --git a/torchcp/classification/loss/__init__.py b/torchcp/classification/loss/__init__.py
index c163bbc..83cb900 100644
--- a/torchcp/classification/loss/__init__.py
+++ b/torchcp/classification/loss/__init__.py
@@ -8,5 +8,4 @@
 from .cd import CDLoss
 from .conftr import ConfTrLoss
 from .confts import ConfTSLoss
-from .uncertainty_aware import UncertaintyAwareLoss
 from .scpo import SCPOLoss
\ No newline at end of file
diff --git a/torchcp/classification/trainer/__init__.py b/torchcp/classification/trainer/__init__.py
index 52161e4..a3538ef 100644
--- a/torchcp/classification/trainer/__init__.py
+++ b/torchcp/classification/trainer/__init__.py
@@ -10,6 +10,5 @@
 from .confts_trainer import ConfTSTrainer
 from .model_zoo import TemperatureScalingModel
 from .ts_trainer import TSTrainer
-from .ua_trainer import UncertaintyAwareTrainer
 from .ordinal_trainer import OrdinalTrainer
 from .scpo_trainer import SCPOTrainer
\ No newline at end of file
diff --git a/torchcp/regression/predictor/__init__.py b/torchcp/regression/predictor/__init__.py
index 7eb405f..77bcbc3 100644
--- a/torchcp/regression/predictor/__init__.py
+++ b/torchcp/regression/predictor/__init__.py
@@ -9,4 +9,4 @@
 from .ensemble import EnsemblePredictor
 from .split import SplitPredictor
 from .agaci import AgACIPredictor
-from .cpd import ConformalPredictiveDistribution
\ No newline at end of file
+from .cpd import ConformalPredictiveDistribution
diff --git a/torchcp/regression/score/__init__.py b/torchcp/regression/score/__init__.py
index a68921b..1519448 100644
--- a/torchcp/regression/score/__init__.py
+++ b/torchcp/regression/score/__init__.py
@@ -12,4 +12,4 @@
 from .cqrm import CQRM
 from .cqrr import CQRR
 from .r2ccp import R2CCP
-from .sign import Sign
\ No newline at end of file
+from .sign import Sign
diff --git a/torchcp/selection/__init__.py b/torchcp/selection/__init__.py
new file mode 100644
index 0000000..e69de29
diff --git a/torchcp/selection/score/__init__.py b/torchcp/selection/score/__init__.py
new file mode 100644
index 0000000..bb9d168
--- /dev/null
+++ b/torchcp/selection/score/__init__.py
@@ -0,0 +1,10 @@
+# Copyright (c) 2023-present, SUSTech-ML.
+# All rights reserved.
+#
+# This source code is licensed under the license found in the
+# LICENSE file in the root directory of this source tree.
+#
+
+
+from .clip import CLIP
+from .res import RES
\ No newline at end of file
diff --git a/torchcp/selection/score/clip.py b/torchcp/selection/score/clip.py
new file mode 100644
index 0000000..889843a
--- /dev/null
+++ b/torchcp/selection/score/clip.py
@@ -0,0 +1,21 @@
+# Copyright (c) 2023-present, SUSTech-ML.
+# All rights reserved.
+#
+# This source code is licensed under the license found in the
+# LICENSE file in the root directory of this source tree.
+#
+
+
+import torch
+from torchcp.regression.score.base import BaseScore
+
+
+class CLIP(BaseScore):
+    """
+    CLIP score (Jin et al., 2023), only apply to binary classification.
+    paper: https://arxiv.org/pdf/2210.01408
+    """
+    def __call__(self, predicts, y_truth, M=100):
+        if len(predicts.shape) == 2:
+            predicts = predicts.squeeze().view(-1)
+        return M * torch.max(predicts, 0) - predicts
diff --git a/torchcp/selection/score/res.py b/torchcp/selection/score/res.py
new file mode 100644
index 0000000..cd1667b
--- /dev/null
+++ b/torchcp/selection/score/res.py
@@ -0,0 +1,20 @@
+# Copyright (c) 2023-present, SUSTech-ML.
+# All rights reserved.
+#
+# This source code is licensed under the license found in the
+# LICENSE file in the root directory of this source tree.
+#
+
+
+from torchcp.regression.score.base import BaseScore
+
+
+class RES(BaseScore):
+    """
+    RES score (Jin et al., 2023)
+    paper: https://arxiv.org/pdf/2210.01408
+    """
+    def __call__(self, predicts, y_truth):
+        if len(predicts.shape) == 2:
+            predicts = predicts.squeeze().view(-1)
+        return y_truth - predicts
diff --git a/torchcp/selection/selector/__init__.py b/torchcp/selection/selector/__init__.py
new file mode 100644
index 0000000..556c204
--- /dev/null
+++ b/torchcp/selection/selector/__init__.py
@@ -0,0 +1,8 @@
+# Copyright (c) 2023-present, SUSTech-ML.
+# All rights reserved.
+#
+# This source code is licensed under the license found in the
+# LICENSE file in the root directory of this source tree.
+#
+
+from .conformal_selector import ConformalSelector
\ No newline at end of file
diff --git a/torchcp/selection/selector/conformal_selector.py b/torchcp/selection/selector/conformal_selector.py
new file mode 100644
index 0000000..81efaae
--- /dev/null
+++ b/torchcp/selection/selector/conformal_selector.py
@@ -0,0 +1,100 @@
+# Copyright (c) 2023-present, SUSTech-ML.
+# All rights reserved.
+#
+# This source code is licensed under the license found in the
+# LICENSE file in the root directory of this source tree.
+#
+
+
+import torch
+
+from torchcp.regression.predictor.split import SplitPredictor
+from torchcp.selection.utils.metrics import Metrics
+
+
+class ConformalSelector(SplitPredictor):
+    """
+    Conformal Selection:
+        a screening procedure that aims to select candidates whose unobserved outcomes exceed user-specified value.
+
+    Args:
+        score_function (torchcp.regression.scores): A class that implements the score function.
+        model (torch.nn.Module): A PyTorch model capable of outputting quantile values.
+            The model should be an initialization model that has not been trained.
+        alpha (float, optional): The significance level. Default is 0.1.
+        device (torch.device, optional): The device on which the model is located. Default is None.
+
+    Reference:
+        Paper: Selection by Prediction with Conformal p-values (Jin et al., 2023)
+        Link: https://arxiv.org/pdf/2210.01408
+        Github: https://github.com/ying531/conformal-selection
+    """
+
+    def __init__(self, score_function, testing_correction, model, alpha=0.1, device=None):
+        super().__init__(score_function, model, alpha, device)
+        self.testing_correction = testing_correction
+        self._metric = Metrics()
+
+
+    def calibrate(self, cal_dataloader):
+        self._model.eval()
+        predicts_list, y_truth_list = [], []
+        with torch.no_grad():
+            for tmp_x, tmp_labels in cal_dataloader:
+                tmp_x, tmp_labels = tmp_x.to(self._device), tmp_labels.to(self._device)
+                tmp_predicts = self._model(tmp_x).detach()
+                predicts_list.append(tmp_predicts)
+                y_truth_list.append(tmp_labels)
+
+        predicts = torch.cat(predicts_list).float().to(self._device)
+        y_truth = torch.cat(y_truth_list).to(self._device)
+        self.cal_scores = self.score_function(predicts, y_truth)
+
+
+    def select(self, data_loader, thresholds):
+        """
+        Evaluate the performance of conformal selection on a test dataset by calculating false discovery proportion
+        (FDP) and power of the selection set.
+
+        Args:
+            data_loader (DataLoader): The DataLoader providing the test data batches.
+            thresholds (torch.Tensor): A tensor of user-defined thresholds.
+
+        Returns:
+            dict: A dictionary containing:
+                - "False discovery proportion": The FDP of the selection set.
+                - "Power": The power of the selection set.
+
+        Example::
+
+            >>> eval_results = selector.evaluate(test_loader, thresholds)
+            >>> print(eval_results)
+        """
+        self._model.eval()
+        y_truth_list = []
+        predicts_list = []
+        with torch.no_grad():
+            for examples in data_loader:
+                tmp_x, tmp_labels = examples[0].to(self._device), examples[1].to(self._device)
+                tmp_predicts = self._model(tmp_x).detach()
+                predicts_list.append(tmp_predicts)
+                y_truth_list.append(tmp_labels)
+        predicts = torch.cat(predicts_list).float().to(self._device)
+        y_truth = torch.cat(y_truth_list).to(self._device)
+        scores = self.score_function(predicts, thresholds)
+
+        n_cal, n_test = self.cal_scores.shape[0], scores.shape[0]
+
+        # Compute p-values with tie-breaking
+        u = torch.rand(n_test)
+        count_less = (self.cal_scores.view(1, n_cal) < scores.view(n_test, 1)).sum(dim=1)
+        count_tie = (self.cal_scores.view(1, n_cal) == scores.view(n_test, 1)).sum(dim=1) + 1
+        p_values = (count_less + count_tie * u) / (n_cal + 1)
+
+        indices = self.testing_correction(p_values, self.alpha)
+
+        # Evaluation
+        res_dict = {"false_discovery_proportion": self._metric("false_discovery_proportion")(y_truth, thresholds,
+                                                                                             indices),
+                    "power": self._metric("power")(y_truth, thresholds, indices)}
+        return res_dict
diff --git a/torchcp/selection/testing_correction/__init__.py b/torchcp/selection/testing_correction/__init__.py
new file mode 100644
index 0000000..a0f6b8e
--- /dev/null
+++ b/torchcp/selection/testing_correction/__init__.py
@@ -0,0 +1,10 @@
+# Copyright (c) 2023-present, SUSTech-ML.
+# All rights reserved.
+#
+# This source code is licensed under the license found in the
+# LICENSE file in the root directory of this source tree.
+#
+
+
+from .base import Base
+from .bh_procedure import BH_procedure
\ No newline at end of file
diff --git a/torchcp/selection/testing_correction/base.py b/torchcp/selection/testing_correction/base.py
new file mode 100644
index 0000000..6f18b93
--- /dev/null
+++ b/torchcp/selection/testing_correction/base.py
@@ -0,0 +1,27 @@
+# Copyright (c) 2023-present, SUSTech-ML.
+# All rights reserved.
+#
+# This source code is licensed under the license found in the
+# LICENSE file in the root directory of this source tree.
+#
+
+
+from abc import ABCMeta, abstractmethod
+import torch
+from tqdm import tqdm
+
+from torchcp.utils.common import get_device
+
+
+class Base(object):
+    """
+    Abstract base class for all multiple testing correction algorithms.
+    """
+    __metaclass__ = ABCMeta
+
+    def __init__(self) -> None:
+        pass
+
+    @abstractmethod
+    def __call__(self, p_values, alpha):
+        raise NotImplementedError
diff --git a/torchcp/selection/testing_correction/bh_procedure.py b/torchcp/selection/testing_correction/bh_procedure.py
new file mode 100644
index 0000000..66e1705
--- /dev/null
+++ b/torchcp/selection/testing_correction/bh_procedure.py
@@ -0,0 +1,49 @@
+# Copyright (c) 2023-present, SUSTech-ML.
+# All rights reserved.
+#
+# This source code is licensed under the license found in the
+# LICENSE file in the root directory of this source tree.
+#
+
+
+import torch
+
+from torchcp.regression.score.base import BaseScore
+
+
+class BH_procedure(BaseScore):
+    """
+    Benjamini-Hochberg (BH) procedure:
+        finds a p-value threshold from a list of p-values to determine which null hypotheses to reject, given a target
+        FDR level 'alpha'.
+
+    References:
+        Paper: Controlling the False Discovery Rate: A Practical and Powerful Approach to Multiple Testing
+               (Benjamini and Hochberg, 1995)
+        Link: https://www.jstor.org/stable/2346101
+    """
+    def __init__(self):
+        super().__init__()
+
+    def __call__(self, p_values, alpha):
+        """
+        Apply the Benjamini-Hochberg procedure.
+
+        Args:
+            p_values (torch.Tensor): A 1D tensor of p-values.
+            alpha (float): The desired False Discovery Rate (FDR) level (e.g., 0.1).
+
+        Returns:
+            torch.Tensor: A 1D tensor of indices corresponding to the p-values (hypotheses) that are rejected.
+        """
+        p_values_sorted, _ = torch.sort(p_values)
+        n_test = p_values_sorted.shape[0]
+
+        k_range = torch.arange(1, n_test + 1, device=p_values_sorted.device)
+        thresholds = k_range * alpha / n_test
+        mask = p_values_sorted <= thresholds
+        k_star = torch.max(torch.where(mask, k_range, torch.zeros_like(k_range))) if mask.any() else 0
+        threshold = (k_star * alpha / n_test) if k_star > 0 else 0
+        indices = torch.nonzero(p_values <= threshold, as_tuple=False).squeeze()
+
+        return indices
diff --git a/torchcp/selection/utils/__init__.py b/torchcp/selection/utils/__init__.py
new file mode 100644
index 0000000..e69de29
diff --git a/torchcp/selection/utils/metrics.py b/torchcp/selection/utils/metrics.py
new file mode 100644
index 0000000..5f71b09
--- /dev/null
+++ b/torchcp/selection/utils/metrics.py
@@ -0,0 +1,64 @@
+# Copyright (c) 2023-present, SUSTech-ML.
+# All rights reserved.
+#
+# This source code is licensed under the license found in the
+# LICENSE file in the root directory of this source tree.
+#
+
+from typing import Any
+
+import torch
+
+from torchcp.utils.registry import Registry
+
+METRICS_REGISTRY_REGRESSION = Registry("METRICS")
+
+
+@METRICS_REGISTRY_REGRESSION.register()
+def false_discovery_proportion(y_truth, thresholds, indices):
+    """
+    Conpute the false discovery proportion (the proportion of false discovery among all selected points) of the
+    selection set.
+
+    Args:
+        y_truth (torch.Tensor): A tensor of ground truth values.
+        thresholds (torch.Tensor): Tensor of user-defined thresholds.
+        indices (torch.Tensor): A tensor containing the indices of selected points.
+
+    Returns:
+        torch.Tensor: The false discovery proportion of the selection set.
+    """
+    if indices.dim() == 0:
+        indices = indices.unsqueeze(0)
+
+    false_positives = torch.sum(y_truth[indices] <= thresholds[indices])
+    fdp = false_positives / indices.shape[-1] if indices.shape[-1] > 0 else torch.tensor(0.)
+    return fdp.item()
+
+
+@METRICS_REGISTRY_REGRESSION.register()
+def power(y_truth, thresholds, indices):
+    """
+        Conpute the power (the proportion of desirable points that are correctly selected) of the selection set.
+
+        Args:
+            y_truth (torch.Tensor): A tensor of ground truth values.
+            thresholds (torch.Tensor): Tensor of user-defined thresholds.
+            indices (torch.Tensor): A tensor containing the indices of selected points.
+
+        Returns:
+            torch.Tensor: The power of the selection set.
+        """
+    if indices.dim() == 0:
+        indices = indices.unsqueeze(0)
+
+    true_positives = torch.sum(y_truth[indices] > thresholds[indices])
+    power = true_positives / torch.sum(y_truth > thresholds)
+    return power.item()
+
+
+class Metrics:
+    def __call__(self, metric) -> Any:
+        if metric not in METRICS_REGISTRY_REGRESSION.registered_names():
+            raise NameError(f"The metric: {metric} is not defined in TorchCP.")
+        return METRICS_REGISTRY_REGRESSION.get(metric)
\ No newline at end of file
diff --git a/torchcp/utils/metrics.py b/torchcp/utils/metrics.py
new file mode 100644
index 0000000..e69de29